1978 on interpreting the effects of repetition - solving a problem versus remembering a solution

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  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    1/19

    JOURNAL

    OF

    VERBAL

    LEARNING

    AND

    VERBAL

    BEHAVIOR

    7, 649_667

    (

    1978)

    On Interpreting

    he

    Effects

    of

    Repetition:

    Solving

    Problem

    Versus

    Remembering

    Solution

    Lnnny

    L. Jecosy

    M ac

    M uster

    Ll niuersitt,

    When

    a

    problem

    is repeated.

    the later presentation

    of

    the

    problem

    sometimes

    results

    in the

    subject esponding

    by remembenng

    he solution

    rather

    han by

    going

    through.the

    operations

    ha t

    would

    otherwise

    be

    necessaryo solve

    he

    problem.

    The means

    of

    obtaining the

    solution

    is shown

    to influence

    subsequent retention

    performance:

    retention

    of the

    solution suffers

    if it

    has been

    obtained

    by remembenng

    ather

    than

    by solving

    the

    problem.

    The

    distinction

    between

    olving

    a

    problem

    and remembenng

    a

    solution is

    used n

    an account

    of the

    etTect f

    spacing repetitions

    and

    other

    standard

    memory

    phenomena.

    The relevance

    of the

    distinction

    to tasks

    such

    as

    word

    perception

    is also discussed.

    Suppose

    hat

    you

    are

    asked o

    find

    the sum

    of

    37

    +

    15+

    12.Af te rhav ingobta inedrh issum

    your

    are

    mmediatelypresented

    ith

    the

    same

    problem.

    The type

    of

    processing

    hat

    you

    do

    will

    differ

    drastically

    on the repeated

    pre-

    sentation.

    On the first

    encounter

    you

    un -

    doubtedly

    went

    throu_eh

    the

    process

    of

    addit ion

    to

    obtain

    the

    sum:

    on the

    second

    encounter.hesum s readilyavailable nd ca n

    be

    _uiven

    without

    going

    back

    through

    th e

    operations

    of adding

    the numbers.

    ndeed.

    a

    full

    repetit ion

    of the

    processing

    ctivity

    ma y

    be

    diff icult,

    f

    not impossible,

    o

    accomplish

    without

    some

    delay. which

    is

    probably

    th e

    rationale

    or

    the commonly prescribed

    outine

    of

    checking

    an

    addition

    by

    adding

    the

    num-

    bers in

    reverse

    order

    rather

    than

    simply

    re-

    adding

    them in

    the

    same

    order.

    To

    make it

    possible

    o repeat

    he full

    process

    f addit ion,

    it is

    probably

    sufficient

    o

    separate

    he

    re -

    The

    author

    is

    grateful

    o

    Lee Brooks

    and

    F. l .

    M. Craik

    for

    comments

    and suggestions

    n an earl ier

    draft

    oi this

    paper.

    This

    researchwas

    supported

    by

    Grant 4028

    t from

    the

    National

    Research

    Council

    ol Canada.

    Address

    repnnt

    requests

    to

    Larrv

    L.

    Jacoby.

    Deparrment

    oi

    Psychology.

    McMaster

    Universi ty.

    Hami l ton.

    Onrario.

    Canada

    L8S 4Kl .

    649

    petit ions

    of the

    problem

    by

    severalntervening

    problems

    of the

    same orm.

    This

    example

    of

    addit ion

    is

    the

    basis

    of the

    analysis

    of

    the

    eflect

    of reperit ion

    on

    memory

    that is

    presented

    n

    this

    paper.

    The

    task

    of

    memorizing

    a ist

    of

    words

    can

    becompared

    o

    the task

    of

    solving

    a series

    of

    problems

    Th e

    presentation

    f a

    word

    [or

    memory

    constitutes

    a problem: the subjectmust find operarions

    that wil l

    render

    that word

    memorable

    after

    some

    delay.

    For

    example.

    the

    subject mav

    image

    the referent

    of the

    word

    in

    order

    to

    enhance

    memorv.

    As

    with

    math

    problems.

    t is

    unlikely

    hat

    a repetit ion

    of a

    word

    results

    n

    a

    full

    repetit ion

    of

    the

    processing.

    f

    one haslust

    imaged

    their

    own

    dog in

    order

    to

    make

    the

    word

    dog

    more memorable.

    magin_e

    heir

    dog a

    second

    ime

    as

    a consequence

    f

    th e

    word

    being

    repeated

    s

    unlikely

    to require

    a

    iull

    repetit ion

    of the

    processes

    hat

    were

    necessary

    or

    the

    original maging.

    n

    general.

    it seems hat one can retrieve he product of

    their

    prior

    memorizing

    activiry

    without

    fully

    repeatin,e

    hat

    memorizing

    activiry.

    The

    means

    by

    which

    a solution

    o

    a

    problem

    is

    obtainedwill

    influence

    ubsequent

    erention

    of the

    problem

    and i ts

    solut ion.

    This

    cla im

    has been

    used

    n recommending

    discovery

    .oor,,*n, ltt,

    i'

    f \31 ]ll?)];.il' i

    l l r ights

    o i rcproductron n any. ' brm

    rescrred.

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    2/19

    650

    LARRY L. JACOBY

    learning

    as compared

    o

    reception

    earning

    (Bruner,

    1966);

    he

    suggestion

    s

    that working

    through

    a

    problem

    to its

    solution enhances

    memory

    ascompared o a situationwhere he

    solution is

    provided.

    Litt le is

    known

    about

    how

    these

    effects

    work.

    However,

    one

    possi-

    bil ity

    is

    that

    solving

    a

    problem

    results

    n

    a

      richer

    memory

    of

    that

    problem

    and its

    solution.

    In

    the math

    example,

    the

    further

    operations

    hat

    are

    performed

    when

    addition

    is required

    may

    result

    in

    a

    more

    extensive

    memory

    of

    the

    problem

    by

    including

    substeps

    leading

    o its

    solution.

    This

    additional

    infor-

    mation

    could

    provide

    a further

    basis for

    subsequent

    ecognition

    of the

    problem

    an d

    increase

    he

    number

    of

    potential

    cues or

    later

    recall A secondexplanationof the retention

    advantage

    of solving

    a

    problem

    as

    compared

    to reading

    or effortlessly

    remembering

    the

    solution

    appeals

    o the

    role

    of consciousness

    in

    determining

    subsequent

    etention.

    n

    th e

    math example.

    addin-e

    series

    f numbers

    o

    obtain

    a solution

    invloves

    consciousness

    n

    a

    way

    that

    effortless

    rememberin-e

    of the

    solution

    does

    not. When

    adding the

    numbers.

    it

    seems

    necessary

    o

    monitor

    one's

    ow n

    processing

    while

    an effortless

    etrieval

    of a

    solution

    seems

    automatic .

    The

    involve-

    ment

    of

    consciousness

    may

    enhance

    sub-

    sequent etentionperformance.

    This

    analysis

    s

    relevant

    o

    the

    spacing

    ffect

    that is wel l

    documented

    n

    the

    memory

    itera-

    ture

    (Hintzman.

    19741.

    he

    ar-eument

    s

    that

    the

    proccssing

    of the

    first

    presentation

    of a

    word

    makes

    avai lable

    an

    appropriate

    en-

    coding

    and

    thereby

    rivializes

    he

    processing

    associatedwith

    the

    second

    presentation

    of

    the

    word.

    As

    the

    spacing

    of repetit ions

    s

    increased.

    he

    amount

    of

    processing

    of

    the

    repeatedword

    that

    is required

    to

    attain

    an

    appropriate

    encod

    ng

    increases:

    onseq

    ent y,

    one should

    expect

    etention

    o

    be

    enhanced s

    a function

    of

    the

    spacing

    of

    repetit ions.

    As

    ar-euedwith

    reference

    o solving

    a

    problem.

    working

    with

    an item

    to

    derive

    an encoding

    produces

    subsequent

    etention

    that

    exceeds

    that

    produced

    when

    an appropriate

    encoding

    is

    effortlessly

    etrieved.

    The experiments

    hat

    are to

    be reported

    provide

    a clear

    demonstration

    oi the

    memorv

    consequences f solvin_s problem versus

    remember ing

    solut ion.

    Much

    of the

    subse-

    quent

    discussionwill

    center

    around

    the

    effects

    of spacing

    epetit ions.

    However.

    he

    contrast

    between

    olving

    a

    problem

    and

    remembering

    a solut ion

    is

    appl icable

    over

    a much wider

    range

    of

    si tuat ions

    han is

    usual lv

    onsidered

    when

    discussing

    he

    mernor iz ing

    f

    a l ist

    of

    words.

    One

    potent ial

    appl icat ion

    har

    is

    of

    current

    interest

    nvolvesword

    identitrcation.

    A

    pronunciation

    for

    a

    word

    can be

    con-

    structed

    by

    goin_e

    hrou_eh

    series

    I rules

    ha t

    deal

    with

    letter

    o

    sound

    correspondences.

    s

    in the math example however. th is con-

    structive

    activity

    is

    likely

    to be

    bvpassed

    r

    minimizedwhen

    the

    conditions

    are such

    as o

    allow

    the subject

    o

    easily remember

    a

    pro-

    nuniciation

    that

    he

    has

    encountered pre-

    viously.

    Thus,

    he

    contrast with

    which

    we

    ar e

    dealing s

    elevant

    o many

    tasks n

    addition

    to

    those

    of solving

    math

    problems

    or memoriz-

    ing word

    lists

    Potential

    applications

    of the

    distinction

    between

    solving

    a

    problem

    an d

    remembering

    a

    solution

    are

    described

    n

    th e

    -eeneral

    iscussion.

    The

    _general

    iscussion

    also includes

    a

    review

    of

    severalexperiments

    hat

    can

    be

    used

    to

    support

    the

    claim

    that

    an advantage

    n

    subsequent

    etention

    s

    gained

    by

    construct-

    ing

    rather

    than

    remembering

    a solution.

    Th e

    ar*qument

    hat the

    effect

    f

    spacinu

    epetit ions

    resuits

    rom

    a change n

    the

    mode

    of obtainins

    a

    solution,

    or

    achieving

    an

    encoding.

    s

    ex -

    panded

    and

    contrasted with

    other

    explana-

    tions.

    This

    ar_qument

    s

    then

    extended

    to

    account

    or

    var ious

    memorv

    phenomcna

    hat

    have

    previouslv

    been

    discusscd

    n

    rnuch

    narrower

    contexts.

    The

    dist i r lc t ron

    bctncen

    solv inga problemund rcmcnrhrcr i r lg.r olu-

    t ion

    is

    shoun

    tt l have

    cr lnsidcrublc

    cur ist ic

    value:

    his

    dist inct ion

    can bc

    uscd

    o suggest

    exper iments

    hat w'ould

    not

    arise from

    the

    more

    radi t ional

    explanat ions

    f the

    phenom-

    ena

    that

    are reviewed.

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    3/19

    RETENTION

    EFFECTS

    OF

    SOLVING

    VS

    REME}IBERINC

    6 5 1

    ExprnryrNr

    I

    Subjects n_ea_eed

    n

    a task hat is

    similar o

    that of solvinga crosswordpuzzle. cueword

    was

    presented

    lon_e

    ith

    a few letters

    and

    a

    series

    of blanks

    representing

    he

    missing

    letters

    of a

    word

    that was

    related

    o the cue

    word

    (e.g..

    oot

    s-

    -e).

    The

    subject's ask

    wa s

    to

    report

    the

    word

    that

    could

    be

    produced

    by

    f i l l ing

    he blanks

    shoe

    n

    the

    aboveexample) .

    In

    some

    instances.

    he

    task

    of solv ing

    the

    puzzle

    was

    trivialized

    by

    preceding

    he

    prob-

    lem

    with

    i ts

    solut ion: he

    pr imary

    manipu-

    lation in

    the

    first

    experimentwas

    to vary

    th e

    spacin_u

    f the

    puzzle

    and its

    solution.

    Th e

    processing

    equired

    o

    obtain the

    solut ion

    and, consequently,

    ater

    memory were

    ex -

    pected

    o

    be

    _greater

    hen presentation

    f the

    solution was

    separated rom

    the

    puzzle

    by

    intervening

    items

    rather

    than immediately

    preceding

    he

    puzzle

    in

    the

    list. Retention

    performance

    was

    assessed

    y means

    of an

    unexpected

    est

    of cued recall:

    he

    cue

    word

    from

    each

    of

    the

    puzzles

    (e._s.,

    oot) was

    presented

    s a

    cue

    for

    recall

    of the

    solution

    words.

    Compar isons

    among

    condi t ionswere

    de-

    signed

    o

    provide

    nformation

    about

    the

    pro-

    cessing arried out to solve the puzzle.Fo r

    example,

    n

    the first

    experiment.

    ued

    recall

    af ter eading

    he

    solut ion

    and hen

    solving

    he

    puzzle

    was

    compared

    to cued

    recall

    after

    having

    read

    the

    solut ion

    twice.

    When

    the

    solution word

    immediately

    preceded

    resen-

    tation

    of the

    puzzle,solving

    he

    puzzle

    was

    no t

    expected

    o

    entail

    any

    more

    effort or

    produce

    any better

    recall

    than

    would

    result

    f lrom

    simply reading

    he

    solution word

    for

    a second

    t ime.

    With

    greater

    eparat ion

    f a

    puzzle

    nd

    its

    solut ion.

    however.

    the requi rement

    of

    solvin_e

    he

    puzzle

    was

    expected

    o

    produce

    hi-eheretention han would be producedby a

    second

    eadine

    of the

    solut ion

    word.

    Methotls

    Desig4n

    ntl

    suhjecrs.

    ubjects ither

    read

    or

    const ructed

    he ight-hand

    member

    f

    pai rs

    of

    related

    words.

    For

    pairs

    hat

    were

    o be read.

    the r ight-hand

    member o i the

    pai r

    was pre-

    sented

    intact.

    For

    pai rs

    that requi red a

    response o

    be constructed, two

    or more

    letters

    were

    deleted rom the interior

    of the

    right-hand

    member

    of the

    pair:

    he

    subject

    wa s

    to

    say

    the

    word

    that could

    be formed

    by

    restoring

    he missing etters.

    The experimentwas

    designed

    o that each

    of s ixcondi t ions

    were

    epresented

    y

    l l i tems

    mixed n

    a s ingle

    72- i tem

    ist .

    One condit ion

    (R)

    consisted

    of

    the

    12 i tems

    that

    were

    presented

    nly

    onceand in

    which

    the response

    had

    only to be

    reutl

    by the

    subject.A

    second

    condit ion

    (C)

    consisted

    f the l2 i tems

    that

    were presented nly once but for which th e

    response

    ad

    to be

    c'orr.srrurc'tetl. ln

    wo

    oi

    th e

    remaining

    onditions,

    ach

    pair

    waspresented

    twice with

    the response

    eing

    ead

    both times

    (RR):

    in

    one

    of these RR

    condit ions. he

    second

    resentation

    mmediately

    ollowed

    he

    first,and in the

    other

    it

    lollowed

    with

    a lag of

    20 i tems. n

    the f inal

    two

    condi t ions

    he tem

    was

    to be read

    the

    first t ime

    and constructed

    the

    second

    RC):

    again. n

    one

    of the RC

    condi t ions

    he repet i t ionwas

    mmediate

    nd

    in

    the

    other

    al ter 20 intervening

    tems.

    Eighteen

    ubjectswere

    paid

    S2.00ihour

    o

    participate.Testine was conducted

    in

    indi-

    vidual

    sessions.

    Muteriuls.

    Seventy-two

    pairs

    of related

    words

    were

    selected rom

    the

    Connecticut

    free-association

    norms.

    In

    selecting

    pairs.

    neither

    he

    most frequent

    association

    o

    a cue

    word

    nor

    a bizarre

    associationwas

    selected.

    The intent was

    to

    select

    pairs

    such

    that the

    responseword

    could

    be so lved in

    the con-

    dit ions

    requi r ing

    construct ion without

    the

    solut ion

    being

    too

    obvious.

    The response

    members

    f

    pairs

    varied

    n length

    rom

    four to

    eight

    etters.

    When

    constructionof a response

    was

    required.

    he

    first etter

    and

    the ast etter

    of the response ere

    always

    presented.

    or the

    longer responsewords,

    up to

    four letters

    including

    he

    first

    and

    last letter

    oi the

    word

    were provided:

    two

    or more letters were

    deleted rom

    each esponse ord

    that

    required

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    4/19

    652

    construction.

    Deleted

    etters

    were

    eplaced

    y

    blanks

    so

    that

    the

    number

    of let ters

    n

    the

    word that was o be constructedwasobvious.

    Six l ists

    were

    formed

    by rotating pairs

    through presentat ion

    condi t ions

    so that

    across

    ists

    each

    presentation

    ondition was

    represented

    y the

    same

    pairs.

    Within

    a

    list.

    the

    order

    o[

    pairs

    was

    such

    that

    each

    pre-

    sentation

    ondition was

    epresented

    y

    rrpairs

    before

    any

    presentation

    ondition was

    repre-

    sented

    bv

    rr

    +

    I

    pairs.

    Proc'etlure.

    he list

    of

    pairs

    was

    prepared

    as

    a

    stack

    of

    note

    cards

    rvith

    each

    note

    card

    containing

    one re latedpair.

    A

    t iming

    device

    was

    used

    o

    pace

    ubjects

    hrough

    his

    stack

    of

    notecardsat a rateof 6 seconds/card ubjects

    were

    nformed

    hat we

    were

    nterested

    n

    ho w

    long t

    took

    them

    o

    solve

    roblems

    f

    the ype

    they

    might

    encounter

    n

    a crosswordpuzzle.

    They

    were

    o turn

    a note

    card

    when

    signaled

    to do

    so by

    the

    imin_e

    evice.

    f

    the ri_eht-hand

    member

    of the

    pair

    on the

    note

    card was

    no t

    intact.

    hey

    were

    o

    say

    a

    word

    that

    contained

    the

    provided

    letters

    and whose

    remainin,s

    letters would

    fit in

    the

    blanks:

    they

    were

    further

    informed

    that

    the

    response

    hey

    ,eave

    had

    to be related

    o

    the

    cue

    word

    that was

    provided

    on the.card.

    s

    soonas hey hought

    they

    knew

    the

    answer.

    hey were

    to

    push

    a

    button

    that

    was

    n

    front

    of them

    and

    say

    th e

    solut ion

    aloud

    f

    the

    ri_eht-hand

    ember

    of

    the

    pair

    on

    a

    card

    was

    ntact

    heywere

    o

    push

    the

    button

    and read

    the

    response

    aloud.

    Subjects

    were

    old

    that

    their

    reaction

    imes

    o

      read

    items were

    to

    serve

    as

    a baseline

    or

    their

    reaction

    ime

    to responses

    hat

    had

    to

    be

    construced.

    n reality.

    eaction

    imeswere

    no t

    recorded:

    he reaction-time

    ask was

    simply

    used o

    provide

    a

    cover

    story

    for

    subjects.

    After

    subjects

    had worked

    their way

    through he deckof notecards.heywere_eiven

    an unexpected

    est

    of cued-recall;

    he

    eft-hand

    member

    of each

    pair

    was provided,

    written

    in

    a random

    order

    on a

    sheet,

    s

    a cue or

    recall

    of

    the right-hand

    member

    of

    each

    pair.

    The

    cued-

    recall

    est

    was

    subject-paced.

    Anulvses.

    he

    test

    of

    cued-recallprovided

    LARRY L. JACOBY

    the

    data that

    are of

    pr imarv

    interest.

    n

    analvzing

    the

    cued-recall

    data

    comine from

    condi t ions hat have been requi red o con-

    struct

    a

    response.

    one has

    the

    option

    oi

    conditionalizing

    cued-recall

    on successful

    construction

    of

    the response.

    he rationale

    or

    such

    condit ional izin_s

    s: I f

    a

    subject

    was

    unable

    to

    construct

    a

    part icu lar

    response

    dur ing

    presentat ion

    f the is t hen

    he

    was

    not

    exposed

    o that

    response:

    onsequently.

    he

    subject

    cannot

    be expected

    to recall

    th e

    response

    on

    the later

    test

    of cued

    recall.

    Despite

    his

    consideration.

    he

    probabil ity

    of

    cued-recall was

    not

    conditionalized

    in

    th e

    analyses

    hat

    are to be reported

    he

    decision

    not

    to

    condi t ional ize

    he

    probabi l i ty

    of cued-

    recall

    was

    motivated

    by concern

    or

    a

    poten-

    tial

    confoundin_e

    hat

    could result

    rom

    item

    selection

    roblems.

    Cued-recall

    an

    obviously

    not

    be

    conditionalized

    when

    subjects

    only

    read

    the

    solution

    to a

    problem;

    conditional-

    '

    izing

    or

    the

    problems

    hat required

    construc-

    t ion

    of

    a solut ion

    may

    resul t

    in

    select ive ly

    droppin_e-out

    he harder

    pairs

    so that

    th e

    comparison

    of the

    read

    and

    construct

    conditions

    s

    confoundedwith

    the

    diff iculty

    of

    the

    pairs

    on

    which

    their

    performance

    is

    assessed. lthough they will not be reported.

    analyses

    were

    also

    carried-out

    with

    con-

    dit ionalized

    scores.

    n

    _eeneral,

    he

    result

    of

    conditionalizing

    scoreswas

    to

    make

    effects

    larger

    hat were

    also

    present

    nd

    signif icant

    n

    the

    analyses

    f unconditionalized

    scores.

    n

    no

    instance

    did the

    results

    of

    an analysis

    of

    conditionalized

    scores

    conflict with

    con-

    clusions

    hat

    are o

    be drawn

    from

    an analysis

    of unconditionalized

    cores.

    The

    level

    of signif icance

    or

    all

    statistical

    testswas

    set

    at

    p

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    5/19

    spaced) the

    rate

    of successfulconstruction

    was

    909/., ignificantly higher: F(1, 171:13.60.

    MS.-.011. When the i tem was to be con-

    structed immediately

    after

    having been

    read

    (Read-Construct,

    immediate) the rate

    of

    success

    was

    99i(,

    significantly

    higher

    than

    the

    delayed

    condition: F(1,

    17): 23.94,

    MS.

    :.gtg3.

    The argument made earlier

    was

    that

    con-

    structing a

    response s

    a solution

    to a

    problem

    should

    produce

    retention

    greater

    than

    that

    produced

    by simply reading

    the response.

    Further, the

    retention

    advantage

    hat

    would

    result from

    solving a

    problem

    should

    depend

    on the

    processing

    nvolved in constructing he

    solution. mmediatelyprecedinga problem by

    presentation

    of its

    solution

    should trivialize

    the

    problem

    to such an extent that the

    pro-

    cesses

    nvolved in

    solving the

    problem

    should

    not

    differ appreciably from those that are

    required to simply read the

    solution

    a second

    time; consequently,

    one should expect no

    advantage to result from construeting the

    solution

    as

    compared

    to a second eading of

    the solution.

    When

    presentation

    f the solu-

    tion is widely

    separated from that of

    the

    problem,

    however,

    solving of the

    problem.

    should be nontrivial

    and

    give

    rise o retention

    that exceeds hat

    coming

    from reading

    the

    solution for a

    second time. The cued-recall

    data are

    presented

    n Figure I

    and

    provide

    support for each

    of the above

    predictions.

    When

    a

    pair

    was presented

    nly once,con-

    struction

    of

    a

    solution esulted n

    substantially

    higher

    cued-recall

    han did

    simply reading he

    solution

    word

    in

    a

    pair,

    F(1, 171:55.92,

    MS.:.02. For

    pairs

    that

    were

    repeated. he

    effectof spacing epetitions

    was

    much

    greater

    in the Read-Construct

    condition than in the

    Read-Read

    condition, F(1, 17\:22.00,

    MS.: .91. When reading of the solut ion

    immediately

    preceded presentation

    of the

    problem,

    cued recall in

    the

    Read-Construct

    condition did not

    exceed

    hat

    in

    the Read-

    Read

    condition; however, with

    spaced

    presentation,

    the Read-Construct condi-

    tion

    produced

    substantially higher

    cued

    653

    -ts

    RC

    85

    25

    IMMEOIATE

    SPACED ONCE

    PRESENTED

    Frc.

    J.

    Probabil i ty

    of cued-recall

    as a

    function

    of

    reading

    (R)

    vs

    construction

    (C)

    in E.rperiment

    L

    recall than did the Read*Read condition.

    Comparisons

    with

    once-presented

    items

    reveal hat reading he solution

    immediately

    prior

    to being

    required to construct

    th e

    solution

    produces

    lower

    performance

    than

    results

    rom constructing he solution

    without

    havin_e

    reviously

    read it, F(1. L7)- 15.91.

    MS.: .91.

    With

    spaced

    presentat ions.

    he

    retention advantage conferred by a

    prior

    readingof the solution

    n the Read-Construct

    condition

    is

    approximately

    equal to that

    gained

    n the Read-Readcondition.

    That is.

    the

    difference

    between

    Read and Read-Read

    is approximately equal to

    that

    between

    Construct

    and Read-Construct:

    the

    prior

    readingof the response nhances ecall n both

    instances.

    It

    was

    once

    generally

    believed that the

    important condit ion

    for

    learning

    was

    to lead

    the subject,by

    whatever means. o make a

    correct esponse. his belief

    n the mportance

    of

    making

    the correct

    esponse asmotivated

    RETENTION EFFECTS

    OF SOLVING

    VS

    REMEMBERING

    =

    f,

    75

    I r l

    E

    a6s

    5

    555

    do5

    s

    lt

    Pss

    L

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    6/19

    654

    LARRY

    L. JACOBY

    educational

    practice.

    It

    is not

    unusual

    for

    a

    teacher

    to

    present

    a

    problem

    along with

    its

    solution

    and then

    require

    he

    class

    o

    parrot

    that

    solution.Within theSkinnerian radit ion,

    programmed

    instruction

    was

    designed

    to

    ensure

    hat

    a correct

    response

    was

    made.

    An

    inserted question

    often

    occurs

    almost

    im-

    mediately

    after

    the

    text

    that

    provides

    the

    answer

    o

    that

    question;

    n

    addition, prompts

    such

    as rhyming

    cues

    or

    a

    portion

    of the

    etters

    comprising

    the

    response

    are

    provided

    to

    further

    ensure

    hat

    the

    correct

    response

    will

    be

    given.

    One

    point

    to

    be

    made

    by

    the

    present

    study

    is that

    the

    processes

    nvolved

    in

    solving

    a

    problem

    determine

    etention

    of

    the solution.

    If the

    problem

    is

    trivialized

    by

    presenting

    he

    solution immediately prior to the problem or

    by

    simpy

    requiring

    the

    person

    to read

    the

    solution,

    retention

    performance

    will

    suffer.

    It

    might

    be

    argued

    hat

    the

    retention

    advan-

    tage

    _eained

    by

    constructing

    rather

    than

    reading

    or

    remembering

    a

    solution

    is

    due

    to

    differences

    n

    study time;

    it

    takes

    longer

    to

    construct

    a

    solution

    than

    to read

    one,

    and

    this

    difference

    n

    effective

    study

    time

    is

    responsible

    for

    effects

    n

    subsequent

    retention.

    First, it

    probably

    did

    not

    take

    twice

    as

    long to

    con-

    struct

    a solution

    as

    to read

    a

    solution.

    How-

    ever,

    reading

    the

    solution

    twice

    produced

    substantially ower recall than

    did

    construct-

    ing

    a

    solution

    only

    once;

    recall

    of once-

    presented

    items

    that

    required

    construction

    was

    higher

    than

    that in

    the

    Read-Read

    con-

    dition.

    Further,

    arguments

    about

    differences

    in

    efectiue

    study

    time

    are

    meaningless

    nless

    we

    have

    some

    dea

    of

    what

    constitutes

    effective

    study,

    and of

    the

    variations

    n

    processing

    hat

    are

    responsible

    or

    differences

    n

    the

    effective-

    ness

    of

    study.

    Other

    data

    (e.g.,

    Craik

    &

    Tulving,

    1975)

    can

    be

    used

    to

    suggest

    that

    differences

    in

    time

    per

    se

    are irrelevant

    to

    differences

    n retention

    that

    are

    produced

    by

    manipulating

    orienting

    tasks.

    ExpenrueNr

    2

    The

    results

    of the

    first

    experiment

    could

    be

    summarized

    by

    the

    statement

    hat

    increas-

    ing

    the effort

    required

    to

    solve

    a

    problem

    enhances

    later

    retention performance.

    The

    second

    experiment

    provides

    further

    evidence

    on the role of effort by directly varying the

    difficulty

    of

    the

    problems

    themselves.

    n

    one

    condition,

    the

    crossword

    puzzle

    problems

    were

    extremely

    easy

    o

    solve. Puzzles

    or

    that

    condition were

    constructed

    by deleting

    a

    single interior

    letter from

    the

    solution

    word

    (e.g.,

    check

    m-ney);

    the

    result

    for

    most

    pairs

    was

    o

    make the

    problem

    so easy

    hat

    it

    seems

    possible

    to

    just

    read

    the

    solution word.

    Puzzles

    for

    a

    second

    condition were

    made

    more

    difficult

    by

    deleting

    two interior

    letters

    from

    the

    solution word

    (e.g.,

    ance

    s5r).

    As

    can

    be

    seen from

    the

    examples,

    deleting

    a

    second etterappears o producea substantial

    increase

    n

    the

    difficulty

    of the

    problem.

    The

    more

    difficult

    problems

    were

    expected

    o

    yield

    higher

    retention performance

    The

    second

    experiment

    also

    differed

    from

    the

    first

    in that

    the

    effect

    of

    intermediate

    levels

    of spacing were

    investigated

    in

    the

    second

    experiment.

    n

    the

    current

    memory

    literature

    there s

    some

    disagreement

    whether

    there

    s a

    dichotomous

    effect

    of immediate

    vs

    spaced

    repetitions

    or

    a true

    continuous

    effect

    of

    spacing

    repetitions;

    hat

    is,

    some

    studies

    ind

    differences

    only

    between

    massed

    and nonzero

    levels

    of spacing

    while

    other

    studies

    find

    differences

    among

    nonzero

    levels

    of

    spacing

    (see

    Hintzrnan,

    1974,

    for

    a

    review).

    In

    the

    present

    situation,

    this

    observation

    can

    be

    translated

    nto

    a

    speculation

    about

    the

    role

    of

    short-term

    memory

    A

    prior

    presentation

    of

    the

    solution

    to

    a

    problem

    might

    reduce

    ater

    retention

    only

    if

    that

    solution

    is

    still in

    short-

    term

    memory

    when

    the

    problem

    is

    encoun-

    tered

    If

    so,

    one

    would

    expect

    a

    difference

    between

    mmediate

    and

    widely

    spaced

    epeti-

    tions

    but

    would

    not

    expect

    increases

    in

    spacing outside the range of short-term to

    influence

    later

    retention.

    The

    interaction

    of spacing

    with problem

    difficulty

    is

    also

    of

    interest.

    With

    massed

    presentation

    of

    the

    solution

    and

    problem,

    the

    two

    levels

    of

    problem

    difficulty

    should

    yield

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    7/19

    equivalent evels

    f later recall:

    or

    both

    types

    of

    problems,

    he

    task of

    provid ing

    a solut ion

    should be trivial. At greater evelsoi spacing.

    however,

    he more

    diff icult

    problems

    should

    produce

    higher

    etention han the

    easier nes.

    Method

    Desigtt

    tntl

    subjec'rs.he second

    experiment

    employed he samecrossword

    puzzle

    ask as

    did the first

    experiment.

    However.all repeti-

    t ion

    conditions in the

    second experiment

    involved irst reading

    he responsemember

    of

    a

    pair

    and then ater

    encountering hat

    pair

    as

    a

    problem

    that

    required

    he

    previously

    ea d

    response s a solution (the Read-Construct

    arrangement

    n

    Experiment

    1). Eight repeti-

    t ion

    conditions

    were produced

    by lactorially

    combining

    two levels

    of

    solution diff iculty

    (Easy

    vs

    Hard)

    wi th

    four

    levels f spacing

    f

    presentations

    0,

    10,

    20, or

    40

    intervening

    pai rs) .

    n four

    addit ional

    condit ions.a

    pair

    was

    presented

    only once.

    To

    produce

    these

    four

    conditions,

    the two

    levels

    of

    problem

    dif f icul ty

    were

    combined

    with

    the

    solut ion

    o

    the

    problem

    being

    either read

    or constructed.

    Problem

    diff iculty was

    a

    pseudovariable,

    n-

    serted for

    purposes

    of

    analyses.

    when

    th e

    solut ions

    to

    the

    once-presented

    roblems

    were

    read.

    All

    condit ions

    were

    represented

    within-subjects.

    The

    subjects

    were

    l8

    students nro l led

    at

    McMaster

    Universi ty

    who werepaid

    52.00rhr

    to

    part icipate

    n

    the experiment.

    iVI

    teriuls

    untl

    procetlure.

    The

    materials

    comprised 120

    pairs

    of relatedwords

    selected

    from the

    Connecticut ree-association

    orms

    using

    the

    same criteria

    as

    in

    Experiment 1.

    Solution

    words

    varied

    rom four

    to

    six etters

    in length.

    Easy

    problems

    were

    produced

    by

    replacingone interior letter of the solution

    word with

    a

    blank;

    difrcult

    problems

    were

    produced

    by replacing

    wo

    interior

    letters

    of

    the

    solution

    word

    with

    blanks.

    To

    construct

    a

    list,

    10

    pairs

    were

    assigned

    o

    each of the

    12

    conditions

    described

    n the

    design and

    subjects

    section.

    Since

    eight

    of

    655

    these

    2

    condit ions equired epet i t ions i a

    pair,

    a

    l ist

    was

    200

    pai rs

    long.

    For the

    repet i t ion ondit ions. resentat ionsf a pai r

    were

    separated y

    0, 10,

    20 or

    40

    intervening

    pairs.

    Twelve

    ists

    were

    constructedby rotat-

    ing

    pairs

    through condit ionsso that

    across

    lists each

    condition

    was

    represented

    ,v-

    he

    same

    pairs:

    six of these ists

    were

    presented

    o

    two

    subjects

    hi le

    he emaining

    ix

    ists

    w'ere

    presented

    o only one

    subject.

    A

    final cued-recall est

    was

    constructed n

    the samemanner

    as described or

    Experiment

    l. The

    procedure

    was

    also

    identical

    to that

    described

    or

    the first

    experiment.

    ,, lncrlr'si.s.

    s in

    Experiment l.

    the cued-

    recall data that will be reported were no t

    conditionalized

    on the subject

    correctly

    solvin_s he

    corresponding crossword

    puzzle

    problem.

    Again.

    condit ional ized

    ata

    were

    alsoanalyzed,

    ut the esults

    f those nalyses

    do not al ter

    any conclusions

    rawn on the

    basis

    of

    the

    uncondit ional iz'ed

    ata.

    Signif icance evel for

    all tests

    was

    set at

    p

    < . 05 .

    Re.su/rs

    ntl Di

    sc

    L.ssiorr

    Di f ferencesn

    the

    probabi l i ty

    of

    an

    un-

    successful ttempt

    at

    solving the crossword

    problems

    verif ied

    that

    the

    hard

    problems

    were

    indeed

    more

    dif f icul t than

    were

    the

      easy

    problems:

    he

    probabi l i ty

    of being

    unable to solve

    a

    problem

    in

    the

    once-

    presented

    ondit ions

    was

    .12 for

    hard

    prob-

    lemsand .02 or

    easy

    problems.

    Prior

    reading

    of the

    solut ion faci l i tated

    solv ing

    of the

    problems

    when

    reading of the

    solut ion

    im-

    mediately

    preceded

    resentation

    f the

    prob-

    lem

    (0-spacing);

    he

    probabil ity

    of bein_s

    unable o solve

    problem

    under

    hose

    i rcum-

    stanceswas quite low (.005I or both the easy

    and the

    diff icult

    problems.

    When

    40

    items

    intervened

    between

    eading he solution

    an d

    presentat ion

    f the

    problem.

    he

    probabi l i ty

    of

    being unable

    o solvea

    diff icult

    problem

    (.04)

    was

    stil l ower

    than

    that in

    the once-presented

    condition

    where

    the solution

    was

    not read

    RETENTION

    EFFECTSOF SOLVING

    VS

    RE},IEMBERING

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    8/19

    656

    70

    20

    40

    o^rcE

    PRES€NTED

    SPAC/IVG

    Frc.

    2. Probabi l i ty

    of

    cued-recal l

    as

    a

    function

    of

    construction

    difficulty

    and

    spacing.

    prior

    to

    presentat ion

    f

    the

    problem

    (.12).

    With

    the

    easy problems.

    n

    contrast.

    the

    probabi l i ty

    f

    being

    unable

    o

    solve probtem

    when

    40

    tems

    ntervened

    etween

    eading

    he

    solut ion

    and presentat ion

    f the problem .02)

    was

    equal

    o

    that

    in

    the

    corresponding

    nce_

    presented

    ondit ion.

    The

    cued-recall

    results

    lrom

    the

    second

    exper iment

    are

    displayed

    in

    Figure

    2.

    A

    portion

    of

    those

    esults

    imply

    replicate

    ffects

    found

    in

    the

    first

    experiment.

    Among

    th e

    once-presented

    tems,

    being

    required

    o

    con-

    st ruct

    a

    solut ion

    produced

    substant ial ly

    hi_eher

    ued-recall

    han

    did

    reading

    he

    solu-

    t i on .

    F (1 .

    l 7 ) -80 . 76 , VS : . 02 .

    W i t h i n

    t he

    conditions

    that

    required

    construction.

    ead-

    ing

    the

    solut ion

    mmediate ly

    r ior

    to

    solv ing

    a problem that required that solution (0 -

    spacin_e)

    owered

    later

    cued-recall

    as

    com-

    pared

    to

    the

    corresponding

    once-presented

    condi t ions

    hat

    solved

    he

    problem

    without

    previously

    reading

    the

    solut ion.

    F(

    .

    171:32.64,

    MS.

    : .02.

    LARRY

    L. JACOBY

    It was

    earlier

    suggested

    hat

    the

    results

    of

    the

    first

    experiment

    reflect

    the

    influence

    of

    short-term

    memory.

    The

    suggestion

    was

    that

    prior reading of the solut ion wil l depress

    later

    cued-recall

    only if

    the

    solution

    resides

    in

    short-term

    memory

    after

    the

    problem

    requir ing

    that

    solut ion

    is

    presented.

    This

    posi t ion

    leads

    ro

    the

    predict ion

    that

    in-

    creases

    n

    spacing

    beyond

    he

    range

    of

    short-

    terrn

    memory

    should

    have

    no

    effect

    on

    later

    cued

    recall;

    that

    is,

    one

    should

    find

    an

    immediate

    vs

    spaced

    ffect

    but

    should

    ind

    no

    diflerences

    amone

    -sreater

    evels

    of

    spacin_e.

    The

    results

    f

    the

    second

    xperiment

    evealed

    a

    quite

    large

    effect

    of

    spacin_s resentations.

    f (3.

    5

    ; :

    33.98,

    MS.

    -

    02.

    Cont rary

    ro ex-

    pectations,

    however,

    the

    effect

    oi

    spacing

    presentations

    emained

    signif icant

    when

    th e

    O-spacing

    onditions

    were

    dropped

    from

    th e

    ana lys is ,

    (2 ,34 \ :3 .93 ,

    MS.

    - .02 .

    I t

    does or

    seem

    reasonable

    o

    argue

    that

    the

    effects

    of

    spacin_e

    ithin

    the

    range

    of lG40

    intervening

    items

    are

    due

    to

    differences

    n

    the probabil ity

    of the

    solution

    residing

    n

    short-term

    memory

    durin_e

    he

    presentation

    of the problem:

    th e

    levels

    of

    spacing

    nvolved

    are

    al l

    outside

    of

    what

    is

    usually

    considered

    o

    be

    the range

    of

    short-term

    memory.

    Some

    factor

    thit

    operates ver a _ereaterange han doesshort-

    term

    memory

    is

    apparently

    responsible

    or

    the

    spacing

    effect

    observed

    in

    the present

    experiments.

    Although

    he

    more

    dif f icul tproblems

    were

    expected

    o

    produce

    higher

    retention

    than

    were

    he

    easyproblems.

    esults

    rom

    the

    once-

    presented

    tems

    reveal

    no

    effect

    of

    problem

    diff iculty

    on later

    cued-recall.

    owever.

    effects

    of

    problem

    diff iculty

    are

    observed

    when

    on e

    examines

    the

    repeated

    items.

    Among

    th e

    repeated

    tems.

    the

    more

    diff icult

    problems

    produced

    higher

    cued-recall

    han

    did the

    easy

    problems, (1. 17\:9.76 fulS,: .007. Exami-

    nation

    of

    the

    data

    presented

    n

    Figure

    2

    suggests

    hat

    problem

    diff iculty

    nteracts

    with

    the

    spacing

    f

    presentations.

    t

    0-spacin_e.

    he

    two

    levels

    of

    problem

    diff iculty

    produced

    essentially

    equivalent

    levels

    of

    cued-recall

    60

    50

    40

    . 24

    20

    J

    H

    q

    ( \

    5

    =

    d

    fl

    F<

    ti

    n-

    o i

    ,

    i

    t*t*'

    to

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    9/19

    while

    the more

    difficult

    problems produced

    higher

    performance

    han did the

    easy

    prob-

    lems

    at the

    greater

    levels of spacing. The

    interaction

    of spacing

    and

    problem

    difficulty,

    however,

    was

    not

    statistically

    signif icant,

    F < 1 .

    A

    significant nteraction

    was

    ound

    rvhen

    an

    analysiswas

    carried

    out on the two levels

    of

    problem

    difficulty

    at

    40-spacing

    and the

    two

    once

    presented

    tem

    conditions hat required

    const ruct ion

    of a response,

    (1,

    l7)-5.53.

    MS.: .028

    Examinat ion

    of this interact ion

    shows that

    problem

    difficulty had

    an

    effect

    with

    the repeated

    tems

    but

    not with

    once

    presented

    tems.

    Further,

    prior

    reading

    of

    the

    solution enhanced ecall relative to the once-

    presented

    tems

    only

    for

    the

    difficult

    problems:

    at the longest-spacing,

    he level

    of cued recall

    produced

    by

    easy items is

    approximately

    equal o

    that

    produced

    by the corresponding

    once-presented

    tems.

    These

    esults

    can

    easily

    be

    nterpreted

    n

    the

    same

    erms

    as

    was

    Experiment

    1. Presenting

    the solution

    of a

    problem

    prior

    to the

    pre-

    sentation

    f

    that

    problem

    provides

    he

    subject

    with

    two

    means

    of

    _eenerating

    response: he

    subject

    an either remember

    he

    solution hat

    he

    was given previously

    or he

    can use the

    information provided by the problem to con-

    struct

    a solution

    (mixes

    of

    the two

    means

    of

    -eenerating

    a response

    are,

    of course.

    also

    possible).

    When

    a

    presentation

    f the solution

    immediately precedes

    a

    presentation

    of the

    problem,

    he

    subject

    almost

    certainly

    emem-

    bers rather

    than

    constructs

    he

    solution.

    an d

    later retention

    performance

    suffers

    he effect

    of

    spacing

    of

    presentations

    or

    both

    levels

    of

    problem

    difficulty

    can

    be

    interpreted

    as

    being

    due to

    a correspondin_e

    ncrease

    n

    the likeli-

    hood

    that

    a solution

    to the

    problem

    must

    be

    constructed

    rather

    than remembered.

    When a solutionwasnot presented rior to

    the

    presentation

    of a

    problem

    as

    was

    the case

    with

    once-presented

    airs.

    he subject

    had no

    option but to

    construct

    a

    solution. t

    appears

    that

    the

    only important

    factor for

    later reten-

    tion

    was

    that

    construction

    be required:

    he

    RETENTION

    EFFECTS

    OF SOLVING

    VS

    RE}TEMBERING

    657

    diff icultyof

    the

    problem

    did not influence

    ater

    cued-recall

    performance.

    This lack

    of an effect

    of

    problem

    diff iculty may

    simply result

    from

    problem

    diff iculty

    having

    been manipulated

    over

    too narrow

    of a range; however.

    th e

    manipulation

    was

    sufficient

    o

    produce

    sub-

    stantiallymore unsuccessful

    ttempts o

    solve

    the

    diff icult

    problems

    as

    compared to the

    easier nes.Perhaps he most

    surprising esult

    is the ar_se

    dvantage n

    cued-recall

    roduced

    by

    an easy

    construction

    as compared

    to

    readin-e

    he

    solution

    to

    a

    problem.

    As shown

    by

    the

    example

    provided

    earlier,

    he deletion

    of a single etterappears

    o make

    he

    problems

    so easy hat

    one can

    just

    read the

    solution:

    however, olvingproblems hat wereeven his

    easy

    produced

    subsequent

    recall

    that

    was

    double that

    produced

    by actually

    readin_e

    he

    solution. Additional

    research

    s required

    to

    determine

    whether

    or not a

    continuous

    effect

    of

    problem

    diff iculty

    can be

    obtained. f the

    effects

    prove

    to

    be dichotomous, as

    is sug-

    gested

    y the results

    f the

    present

    xperiment.

    it

    may

    be

    necessary

    o invoke

    the

    concept

    ol

    consciousness

    o

    explain

    the effect

    of

    problem

    diff iculty.

    To

    enhance ater

    retention.

    t

    ma y

    only

    be necessary

    o

    disrupt

    the flow

    of

    processing

    o

    that some

    minimal

    amount

    of

    conscious onstruction s required.

    The

    effect

    of

    problem

    difficulty found with

    repeated tems

    remains

    to

    be explained.

    n

    these

    cases,

    roblem

    difficulty

    may have

    had

    its

    effect

    by

    influencing

    the

    ease

    of

    remember-

    ing

    the solution.

    Even

    at the longer

    spacings.

    subjects may

    have

    sometimes

    remembered

    rather than

    constructed

    the

    solution.

    This

    rememberin_s

    f the solution

    is more

    likely

    with

    the

    easy

    problems

    where

    only one

    letter

    of the solution word

    is

    deleted

    han

    with

    th e

    hard

    problems

    where

    wo

    letters

    of the

    solu-

    tion

    are

    deleted.

    That is.

    because here

    ar e

    more

    letters

    and

    therefore

    a

    more restrictive

    context.

    the

    easy

    problems

    provide

    a

    better

    cue or

    recall

    of the

    previously

    _eiven

    olution

    than

    do

    the

    hard

    problems:

    consequently.

    constructon

    of

    the

    solution is

    required

    more

    often for

    the

    hard

    problems

    with

    result ing

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    10/19

    658

    better

    retention.

    Evidence

    that

    the

    prior

    reading

    of the

    solution

    does

    nfluence

    solving

    the problem even at the longest spacing is

    provided

    by

    both

    experiments

    n

    both

    experi-

    ments,

    he

    probabil ity

    of

    being

    unable

    o

    solve

    a

    problem

    was

    lower

    when

    the

    solution

    had

    been

    read

    previously.

    This

    reduction

    in

    the

    probabil ity

    of

    being

    unable

    o solve

    a

    problem

    is

    presumably

    due

    to

    the

    solution

    being

    at

    least

    partially

    remembered

    n

    some

    nstances

    rather

    than

    being

    solely

    constructed.

    The

    possibility

    of

    remembering

    ather

    than

    constructing

    a

    solution,

    even when

    the

    solu-

    tion

    does

    not

    immediately

    precede

    presen-

    tation

    of the

    problem,

    casts

    a new

    ight

    on the

    role of short-term memory in producing the

    effect

    of

    spacing

    epetitions.

    Greeno

    (1967)

    has

    emphasized

    he

    role

    of short-term

    memory

    in

    producing

    the

    spacing

    effect

    by

    arguing

    that

    a

    subject

    might

    learn

    nothing

    from

    the

    pre-

    sentation

    of

    an

    item

    if

    that

    item

    currently

    resides

    n

    short-terrn

    memory.

    This

    is

    said

    to

    be

    because

    he

    subject will

    not

    select

    a

    new

     code

    for

    an item

    that

    resides

    n

    short-term

    memory

    during

    its

    repetition;

    memory

    over

    the

    long

    term

    is

    described

    as

    requirin_e

    he

    selection

    f

    an

    appropriate

    code.

    Similarly,

    n

    the

    present

    paper.

    it was

    suggested

    that

    presentation

    of

    a

    problem

    may

    have

    litt le

    effect

    on

    subsequent

    etention

    f

    the

    solution

    to

    that

    problem

    currently

    resides

    n

    short-

    term

    memory

    so

    that

    solving

    the

    problem

    is

    trivialized.

    On

    the

    basis

    of the

    results

    of

    th e

    present

    experiment,

    however,

    t

    appears

    hat

    effortless

    ememberin_e

    ather

    than

    residence

    in

    short-terrn

    memory

    is

    the important

    factor

    for

    subsequent

    retention.

    Discussions

    of

    short-term

    memory

    have

    usually

    emphasized

    limited-capacity

    notions

    so

    that

    it

    is

    th e

    number

    of intervening

    tems

    that

    is

    seen

    as

    determinin_e hether or not a particular item

    will

    still

    reside

    n

    short-terrn

    memory

    when

    it

    is

    repeated.

    mplicating

    ease

    o[

    remembering,

    in

    contrast,

    emphasizes

    he

    importance

    o[ the

    cues

    provided

    for

    retrieval

    of

    an

    earlier pre-

    sented

    olution

    as

    well

    as

    he

    number

    of items

    intervening

    between

    presentation

    f

    the

    solu-

    LARRY

    L.

    JACOBY

    t ion

    and

    that

    of the

    problem.

    An

    implication

    of emphasizing

    retrieval

    is

    that when

    re-

    membering of the solution is enhanced by

    providing

    more

    effective

    cues.

    as in

    the

    easy

    construction

    as compared

    to

    the

    hard

    con-

    struction

    conditions,

    subsequent

    retention

    performance

    will

    suffer

    even when

    presen-

    tation

    of the

    solution

    does

    not immediately

    precede

    hat

    of the

    problem.

    The

    presentation

    of less

    effective

    ues or

    retrieval

    makes

    t

    more

    likely

    that

    the

    subjectwil l

    have

    to

    solve

    th e

    problem

    rather

    than

    remember

    he

    solution.

    and

    subsequent

    etention

    benefits.

    The

    above

    account

    of

    the results

    claims

    that

    remembering

    a

    solution

    always

    eads

    o

    poorer later remembering

    of that

    solution

    than

    does

    construction

    of the

    solution.

    Such

    a

    position

    is

    too

    extreme

    n that

    rememberin_s

    sometimes

    nvolves

    construction.

    As

    one

    ex-

    ample,

    Lindsay

    and

    Norman

    (197'7)

    argue

    convincin_ely

    hat

    construction

    or reconstruc-

    tion

    is involved

    when

    we

    answer

    a

    question

    about

    where

    we

    were

    on

    some

    specified

    ata

    in

    the

    distant

    past.

    Perhaps

    a

    distinction

    needs

    o

    be

    drawn

    between

    effortful

    and

    effortless

    retrieval

    (e.g.,

    Gotz

    & Jacoby,

    1974).

    Effortful

    retrieval

    nvolves

    many

    of the

    sameprocesses

    as

    doesconstructionand acts he sameway as

    construction

    to

    enhance

    ater

    retention.

    In

    contrast,

    effortless

    emembering

    of a

    solution.

    regardless

    f

    the

    spacing

    of the

    solution

    an d

    problem,

    s

    much

    ike

    reading

    he

    solution

    an d

    does

    elatively

    itt le

    to

    enhance

    ater

    retention

    performance

    Further

    theorizing

    at

    this

    point

    is

    by

    necessity

    speculative

    However,

    one

    advantage

    offered

    by

    the

    procedures

    em-

    ployed

    in

    the

    present

    experiments

    s

    that

    the

    task

    is

    one

    that

    can

    be further

    analyzed

    to

    yield

    information

    about

    the

    processes

    n

    which

    subjects

    engage

    o

    deal

    with

    a

    problem.

    The main questions eft unanswered n the

    above

    account

    are: What

    is

    involved

    in

    th e

    construction

    of

    a

    solution

    and

    why

    does

    engaging

    n

    construction

    enhance

    ater

    re-

    tention performance?

    These

    questions

    will

    be

    considered

    n

    the

    _seneral

    iscussion.

    Before

    considering

    those questions,

    however. the

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

    11/19

    RETENTION

    EFFECTS

    OF SOLVING

    VS

    RE}IEMBERINC 659

    spacin_s

    ffect

    btained here

    will

    be compared

    with

    that obtained in

    more typical memory

    experiments, nd the applicabil ity of current

    theories

    oi the spacing

    effect o the results

    of

    the

    present

    experiments

    will

    be discussed.

    Gexrnel

    DrscussroN

    Whereas

    t

    is

    possible

    hat

    the

    spacing

    ffect

    found

    here has

    a totally

    different

    basis han

    does he

    spacing

    effect ound in

    more

    typical

    memory

    experiments

    e._e..

    elton. 1967),

    t

    seems

    more

    likely

    that

    the two

    are

    closely

    related.

    n

    order

    o memorize word,

    a subject

    must

    engage

    n

    some

    series

    f operations:

    or

    example, inding relations among words or

    ima*uing

    he words.

    As with

    themath

    problems

    considered

    earlier

    and

    the

    crossword

    puzzle

    problems

    used n

    the

    present

    experiments.

    t

    seems

    nlikely

    that these

    memorizin_s

    pera-

    tions

    are

    fully

    repeated when

    the

    second

    presentation

    f a

    word

    immediately

    ollows

    ts

    first

    presentation.

    n

    the

    remainder

    of

    this

    paper,

    I

    procecd

    as if

    the

    spacing

    effect ound

    here

    and

    the

    spacing

    effect ound

    in

    more

    typical

    memory

    exper iments

    ave

    a

    common

    basis. f

    this

    common

    basis s

    accepted,

    t is

    of

    interest

    o see

    how var ious

    theories

    of the

    spacing

    ffect

    are

    n

    attempting

    o

    account

    or

    the

    results

    of

    the

    present

    experiments.

    One

    explanation

    of

    the spacing

    effectha s

    appealed

    to

    differences

    n the

    frequency

    of

    rehearsal

    as

    a function

    of

    the

    spacing

    of

    repetit ions.

    The

    claim

    is

    that

    an item

    is

    rehearsed

    durin_e

    he

    interval

    intervening

    between

    its

    presentations;

    consequently,

    spaced

    epetit ions

    of

    an item

    result

    n

    more

    rehearsal

    f the

    repeated

    tem than

    do massed

    repet i t ions

    Rundus.1971).

    his

    grearer

    um-

    ber

    of rehearsals

    s

    used to

    explain

    th e

    retentionadvanta_uef spaced epetit ionsby

    assuming

    hat

    lon_e-term

    emory

    of

    an tem s

    a

    direct function

    of the

    number

    of

    rehearsals

    that i tem

    has

    eceived.

    l though

    t

    may

    apply

    in

    other

    situations,

    he

    frequency

    f

    rehearsal

    explanation

    cannot

    account

    ior

    the

    spacing

    effect

    obtained

    in

    the

    present

    experimenrs.

    First. the incidental

    learnine

    procedure

    employed

    here made t

    uniikely

    that subjects

    would rehearse n item during intervalsout-

    s ide f i ts

    presentat ion.

    ore mportant ly.

    he

    differential ehearsal

    xplanation

    cannot ac-

    count for the

    debil itatin-e ffect

    f reading he

    solution to a

    problem

    immediately

    prior

    to

    solving the

    problem.

    [t is not

    reasonable o

    claim that

    the

    prior

    reading

    of the

    solution

    resulted

    n

    the

    solution being

    rehearsed

    es s

    than it

    would

    have been

    had the

    solution nor

    been read

    prior

    to

    presentation

    f the

    prob-

    lem.

    The

    encoding var iabi l i ty

    hypothesis

    has

    provided

    a second

    explanation

    of

    the

    effect

    f

    spacing epetit ions.By this hypothesis. here

    are severaldifferent ays

    a to-be-remembered

    word

    can be encoded:

    he

    more

    different

    wavs

    a

    word

    is

    encoded

    he

    better

    will

    be

    retention

    since

    each different

    encoding

    provides

    an

    additional

    access

    route

    to

    the

    word

    in

    memory.

    t

    is

    urther

    assumed

    hat an ncrease

    in

    spacin_e

    akes

    it

    more likely

    that

    repeti-

    t ions

    o[ an item

    will

    be

    encoded

    differently.

    Thus,

    the effect

    of

    spacing

    of repetit ions

    s

    attr ibuted

    to

    an increase

    n

    the

    number

    of

    encodings

    f

    the repeated

    tem

    (Melton.

    1961

    Madigan.

    1969).

    A

    variant

    of the

    encoding

    variabi l i ty

    hypothesis

    ssumes

    hat an i tem

    becomes

    onditioned

    to contextual

    elements

    that are

    active

    during the

    presentation

    f

    th e

    item.

    The

    spacing

    effect s

    then

    explained

    on

    the

    basis

    f differences

    n

    the

    similarity

    of these

    contextual

    elements

    as

    a function

    of spacinu

    (Anderson

    &

    Bower.

    1972:

    Glenberg,

    1971).

    There

    seems

    o be no

    way

    that

    anything

    ik e

    encodin_e ariabil ity

    could

    have

    operated

    o

    produce

    the

    spacing

    effect observed

    n

    th e

    present

    xperiments.

    he encoding

    variabil ity

    hypothesis

    appears

    irrelevant

    when

    on e

    abandons he procedure f presenting list of

    words

    to

    be

    memorized

    and instead

    presents

    a series

    oi

    problems

    that

    are to

    be solved.

    Notions

    discussed

    arlier.

    however,

    do

    pro-

    vide

    a means

    of reinterpret in g

    ata

    that have

    been

    presented

    s

    support ing

    he

    encodinu

    variabi l t ty

    explanat ion

    of

    the

    spacing

    effecr.

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

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    660

    LARRY

    L .

    JACOBY

    Several

    nvest i_sators

    e.g.,

    Madigan.

    1969)

    have

    demonstrated

    hat

    the

    effect

    of

    spacin_u

    repetit ions

    can

    be

    reduced

    by

    varyin_u

    he

    context in which the repeated word is

    presented.

    f

    the

    context

    biases

    a

    different

    interpretation

    for

    each presentation

    of the

    repeated

    word

    (e.*e..

    ever-CHILL.

    snow-

    CHILL)

    the

    spacing

    ffect s

    f lat ter

    han

    it is

    when

    he

    context

    b iases

    he same

    meaning

    or

    each

    presentat ion.

    h is

    biasing

    of

    dif ferent

    interpretat ions

    by

    manipulat ing

    conte.\ t

    s

    assumed

    o

    mimic what

    happens

    n

    ordinary

    ci rcumstances

    hen

    epet i t ions

    f an

    item

    are

    widely

    spaced:

    t

    is

    c la imed

    hat

    both

    manipu-

    lat ions

    ncrease

    he

    number

    of

    access

    oures

    o

    the

    repeated

    tem.

    An

    alternat ive

    nterpre-

    tat ion.

    however

    s

    that

    the

    change

    n

    context

    essentially

    produces

    different

    problems

    that

    are

    to

    be

    solved.

    Changing

    context

    s

    anal -

    ogous

    o

    f irst

    asking

    a

    person

    o

    add

    37and

    l5

    and

    then

    asking

    hem

    to

    mul t ip ly

    37

    and

    15.

    Al though

    he

    numbers

    emain

    he

    same

    n

    the

    two

    problems.

    he

    answer

    o the

    first

    problem

    cannot

    be

    carr ied

    over

    o

    t r iv ia l ize

    he

    solvin_s

    of

    the

    secondproblem

    Simi lar ly.

    operarions

    carr ied

    out

    to

    encode

    an

    i tem

    n

    one

    context

    may

    not

    provide

    an

    encodin_e

    hat is

    appro-

    priate

    to

    the item

    repeated

    n

    a

    different

    context.The manipulat ionof context resul ts

    in

    more

    hr l l

    processing

    f

    later

    presentat ions

    of the

    repeated

    tem.

    and

    consequent ly.

    n-

    hances

    etent ion.

    A

    third

    explanat ion

    f

    the

    spacing

    ffect

    s

    simi lar

    to

    the

    account

    offered

    here.

    By

    a

    hab i tua t ion

    ypothes is

    H in tzman.

    974) .

    he

    spacing

    effect

    s

    due

    ro

    the

    deficient

    regis-

    trat ion

    of laterpresentat ions

    hen

    epet i t ions

    of an i tem

    are

    massed:

    intzman.

    Block.

    and

    Summers

    1973\

    provide

    evidence

    hat

    the

    encodinc

    of later presentat ions

    s

    def icient.

    This

    deficient

    regisrrarion

    is

    described

    as

    beingdue o habituat ionand sconsideredo

    be

    outside

    of

    the

    subject 's o luntary

    control .

    In

    out l ine.

    he

    habituat ion

    hypothesis

    grees

    wi th

    the not ions

    descr ibed

    n

    the ntroduct ion

    to

    explain

    the

    spacing

    effect.

    There

    it

    w,ils

    su_ugested

    hat

    a massed

    epet i t ion

    esul ts

    n

    the

    subject

    remember ing

    he

    solut ion

    to a

    problem

    rather

    han

    const ruct ins

    hat

    solu-

    t ion. This

    remember ing

    f

    the

    solut ion pro-

    duces

    poorer

    retent ion

    so

    the locus

    of

    the

    spacing

    effect

    is in

    the

    re_gistration

    f rhe

    second

    resentat ion.

    he

    conclusion

    hat

    the

    re-gistration

    f the later

    presentation

    s

    defi-

    cient

    s

    compel led

    y the

    inding n

    the

    presenr

    exper iments

    f an

    ubsolure

    ebi l i tat ing

    effect

    of

    repet i t ion

    when

    readine

    the

    solut ion

    immediate ly

    receded

    resentat ion

    ia

    prob-

    lem.

    Further.

    he

    nf luence

    i having

    ead

    he

    solut ion

    is

    not

    seen

    as

    being

    opt ional:

    t is

    near ly

    impossib le

    to

    be

    uninl luenced

    by

    having

    ust

    read

    the

    solut ion

    when

    one is

    so lv ing prob lem.

    Althou-eh

    agreewi th

    cla ims

    of

    the habi-

    tuat ion

    hypothesis.

    har

    s habituat ion' l

    hat

    is,

    what processes

    re nvolved

    n

    habituat ion' l

    I t

    may

    be

    possib le

    o

    descr ibe

    abituarion

    by

    appealin_u

    o notions

    hat

    have

    been

    used

    here

    to

    explain

    the

    effect

    of

    spacing

    eper i t ions.

    Perhaps

    a

    habituated

    st imulus

    is

    one

    for

    which

    an encoding

    an be

    remembered

    ather

    than

    const ructed.

    h is

    vievr

    oi habituat ion

    contrasts with

    a view'

    recently proposed

    b_r-

    Wagner

    l976 l .

    Wagner

    la ims

    har

    n 'hen

    an

    event

    is

    al ready

    represented

    n

    short - rern- l

    memory. ur theroccurrencesf that eventare

    rendered

    ess

    f fect ive

    han

    they would

    other-

    wise

    be.

    A

    simi lar

    h,vpothesis

    bour

    the

    importance

    f

    short - term

    memory was

    ested

    in

    Exper iment

    of the

    present

    nvest igat ion.

    There

    t

    was

    concluded

    hat

    the

    solut ion

    o a

    problem

    did

    not have

    o

    reside

    n

    short-term

    memorv

    o inf luence

    he

    solving

    of

    the

    prob-

    lem:

    al l that

    appeared

    ecessary

    as

    har

    t l te

    solut ion

    o

    rhe

    problem

    ould

    be

    effort lessl1,

    re t r ieved.

    imi ia r l y

    or

    hab i tuar ion .

    t

    ma\

    only

    be

    important

    that

    a

    pr ior

    encoding

    oi

    an

    event

    s ret r ieved

    o

    an

    encodin_e

    eed

    not

    be

    const ructed.

    h is

    assumes

    hat i t

    is

    the

    necessi ty

    f

    const ruct ion

    hat

    _sives

    ise

    o the

    or ient in_e

    esponse

    observed

    n

    studies

    of

    hab i tua t ion .

    A

    ser ies

    of

    exper iments

    bv

    Waugh

    and

    Norman

    ( l96 t t )

    may

    be re le ran t

    ro

    under -

  • 8/9/2019 1978 on Interpreting the Effects of Repetition - Solving a Problem Versus Remembering a Solution

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    standing

    he effects

    f spacing epetitions

    and

    the

    processes

    nderlying

    habituation. Waugh

    and Norman were nterested n specifying he

    nature

    of

    an event

    that

    would

    displace an

    earlier

    event from

    short-term

    memory.

    The

    results

    of their

    experiments

    revealed that

    a

    new

    and

    unpredictable

    event

    would

    displace

    an

    earlier event;

    however,

    a

    repetition

    of a

    recently

    presented

    event

    would

    not.

    If

    we

    identify

    short-term

    memory with

    conscious-

    ness,

    t appears

    hat

    the

    processing

    f a

    massed

    repetit ion

    is

    automatic

    in

    that

    it

    does not

    heavily

    involve

    consciousness.

    Combining

    this

    piece

    with

    arguments

    made

    earlier

    we

    arrive

    at the following picture:

    Presentation

    of

    an event whosesolution or

    encoding

    can be

    easily

    remembered

    does not

    give

    rise

    to an

    orienting

    response

    or heavily

    involve

    con-

    sciousness;

    resentation

    f su ch an

    event

    will

    also have

    itt le impact

    on

    later

    retention.

    Th e

    necessity

    f construction,

    n

    contrast,

    givds

    rise to

    an

    orienting

    response,

    nvolves

    con-

    sciousness

    o

    a,qreater

    degree,

    nd

    produces

    a

    substantial

    effect

    on later

    retention

    perform-

    ance.The

    spacing

    of

    repetitions

    has its

    effect

    by determinin_e

    hether

    a solution

    or encod-

    ing

    can be

    remembered

    r must

    becontructed.

    The

    Generulitv

    of'

    Elfects

    of

    Constructiotl

    Effects

    an

    be

    ound

    using

    manipulations

    n

    addition

    to

    those

    employed

    in

    the

    present

    experiment

    and,

    therefore.

    the

    speculation

    about

    different

    modes

    of

    solvinga

    problem

    or

    responding

    becomes

    more

    interesting.

    Before

    -eoing

    on to

    deal

    with

    some

    negative

    effects

    f

    remembering

    a

    solution

    or encoding,

    on e

    positive

    effect

    will

    be cited.

    A consistenr

    ind-

    ing reported

    n

    many

    reaction-time

    tudies s

    that

    the response

    o

    an event

    hat is

    repeated

    s

    quicker

    than

    the response

    o

    an

    event that

    occurred earlier but was not the last one to

    occur.

    Bertelson

    (1963)

    has proposed

    rhat

    when

    a stimulus

    is

    presented

    a subject

    first

    checks

    memory

    to

    see

    f the

    presented

    timulus

    is

    the

    same

    as the

    one that

    immediately

    preceded

    t. If

    the

    stimulus

    is

    the

    same, he

    subject

    makes

    the

    same

    response

    as he

    di d

    RETENTION

    EFFECTS

    OF

    SOLVING VS

    REMEMBERING

    661

    previously:

    f it is

    not the

    same.

    he subjecr as

    to retrieve

    a response

    hat is

    appropriate

    to the

    presented timulus.The retrievalof a response

    takes

    additional

    t ime

    so responding s

    more

    rapid

    when

    the retrieval s

    not necessary;

    ha t

    is,

    when

    the

    subject

    can simply

    _eive

    he

    same

    response

    as

    was

    _eiven

    o

    the immediately

    preceding

    stimulus. Bertelson's

    distinction

    between repeating

    a responsevs

    retrieving

    a

    response

    s

    essentially

    he

    same as the

    dis-

    tinction

    that has

    been drawn

    here betrveen

    remembering

    a

    solution

    vs

    constructin*s

    solution.

    Repeating

    a solution

    is

    more efficient

    than s

    constructing

    one n

    that repetit ion

    of a

    solution

    can

    be done faster

    and.

    perhaps.

    with

    less involvement

    of consciousness.

    Further.

    there s

    some

    evidence

    Keele,

    1969) hat

    ca n

    be

    interpreted

    as

    showing

    hat the

    repetit ion

    effect ound in

    reaction-time

    studies. ike

    the

    effects ound

    in

    Experiment

    2, are not

    limited

    to

    short-term

    memory.

    Slamecka

    Note

    1)has eported

    esults

    ha t

    are

    similar

    to those ound

    here with

    the

    once-

    presented

    tems.

    Slamecka

    ound

    that

    generat-

    ing

    a response

    o an item

    (e.g.,

    rhyme

    or an

    associate

    of the

    presented

    item)

    produced

    better

    later retention

    than

    did reading

    th e

    same response.One factor that differentiates

    reading

    a response

    from

    contructing

    a re-

    sponse is

    that

    the task

    of constructing

    a

    response

    s a

    more

    diff icult

    one.

    Severalexperi-

    mentshave

    shown

    hat

    a

    diff icult nital

    task s

    associated

    with

    high

    levels

    oi retention.

    l l lustrations

    of the

    relation

    berween

    he

    diff i-

    culty

    o[ an init ial

    retrieual

    and

    subsequent

    retention

    evel

    have

    been

    provided

    by

    Gotz

    and Jacoby

    (197a)

    and

    Whirten

    and Bjork

    (1977)

    among

    others.

    A

    parallel

    series

    of

    demonstrations

    as

    elated

    he

    diff iculty

    of an

    init ial

    decision

    o

    subsequent

    erention

    evel.

    For example, in one experiment by Jacoby.

    Craik, and

    Be_eg

    in

    preparation)subjects

    ere

    required

    to

    specify

    which

    word

    in

    a

    pair

    referred

    to the

    lar_qer

    bject:

    later

    retention

    was

    higherwhen

    members

    f a

    pair

    were

    close

    in

    size

    flea-ant)

    ather han

    highly

    discrepant

    in

    size

    (flea-elephant).

    Aubel

    and

    Franks

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    662

    LARRY

    L.

    (1978)have

    emonstrated

    hat the

    diff icultyof

    comprehension

    influences ater retention.

    It

    was found that requiring additional

    effort

    toward comprehension

    of a

    sentence en-

    hanced

    recall

    so

    long as

    the sentence

    was

    eventually understood.

    There are some

    reasons to suggest

    that

    repeatingan

    item a large

    number of

    times

    has