guilford’s structure of intellect theory: an evaluation of ... · guilford (1956) rejected...
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Western Kentucky UniversityTopSCHOLAR®
Masters Theses & Specialist Projects Graduate School
5-1984
Guilford’s Structure of Intellect Theory: AnEvaluation of the Three Dimensional Model andthe Implications for Its Use in the Education of theGifted ChildJudith Parr
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Recommended CitationParr, Judith, "Guilford’s Structure of Intellect Theory: An Evaluation of the Three Dimensional Model and the Implications for Its Usein the Education of the Gifted Child" (1984). Masters Theses & Specialist Projects. Paper 1807.http://digitalcommons.wku.edu/theses/1807
GUILFORO'S STRUCTURE OF INTELLECT THEORY:
AN EVALUATION OF THE THREE DIMENSIONAL MOOEL ANO THE
I MPlI CATIONS FOR ITS USE I N THE EOUCA TI ON OF THE GI FTED CHILD
A Thes i s
Presented To
the Faculty of the Department of Psychology
Western Kentucky University
Bowling Green, Kentucky
In Partial Fulfillmeot
of the Requirements for the Degree
Master of Arts
by
Judith B. Parr
May. 1964
AUTHORIZATION FOR USE OF THESIS
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Thi.. form will be filed with the oriaiDal of the thed. aDd will control luture ua. 01 the the",h.
GUILFORD'S STRUCTURE OF INTEL LECT THEORY:
AN EVALUATION OF THE THREE DIMENSIONAL loiODEL AND THE
IMPLICATIONS FOR ITS USE IN THE EDUCATION OF THE GIFTED CHILD
APPROVED~ ~ ~ 19f'f'
De!~a4
ReeD_nded 0/' 't / ~ I? 9'1
dkW/~~
CJf.~ P~/~
ACKNOWlEOGEMENTS
For the contributions of two members of my thesis committee,
Or. Richard Mill er and Dr. Car l Martray, I am indeed grateful. In
addition to many professional contributi ons their willingness to
help and constant encou ragement meant more to me than I can express.
As chairperson of my thesis committee. Or. Doris Redfield is
well deser~ lng of extra spec ial mention. Her unyielding persi stence
and constructive cr itici sm throughout the study indeed made thi s
thesi s possible.
For the confidence they expressed by allow ing me access to the
confidential data. I extend my a~nrecia tion to Dori s Mills and Ne ll
Taylor. Also, for overlooking al l the interruptl0ns and maintaining
pl easant work I ng cand! tions . I am vHy thankful to a 11 the princi
pals, teachers and central office personnel in both school dIstricts.
To my husband and ch ildren, lowe a speclal debt of grat itude.
Without their constant support and encouragement 1 could not have
pursued this endeavor to the fini sh.
last, although not least, to Carolyn Chelette, the typist,
am grateful. It was through her generous and persistent efforts
that the final draft of this paper achieved the standards acceptable
to the University Library.
111
TABLE OF CONTENTS
ACKNOWLEDGEMENTS • •••••• .. •.•••••• ••••••• • •••.••• • •••• ••••••• . •.•••••••• I I I
LIST OF TABLES.. . ......... ... ... ... •••••••• • • • •••••.•••••••• • • .. ••••••• v
LIST OF APPENDiXES ••••••• • ••••••••••••• . •• •• ••••••••••• •••••• ••••••• ••• vi
Chapter
I. I NTROOUCTI ON ••••••••••••••••.• •••• • ••••• •• ••••• • • •••••• .• • • ••••
II. LITERATURE REViEW ••••..• •••••••••••• •.•••••••••• •• • • •• •• • ••• ••• 4
Models of Intelligence.......... ... ........... . . .. ....... . .. . 4
Identification of the Academical ly Gifted ... . ... . ... . . . ...... 9
Instruction of the Academically Gifted ....... ................ 10
Evaluation of Program ...... .. ......... ... ........ . ........... 13
Rationa Ie ............. . . ........... ... .... .• ••............... 15
Hypothesis •••.••.•••• ••• ••••.. ••• •• .••. •••••• ••••••••••••.••• 15
III. METHODS •••• •• •••• • •••••••• • •• ••• • • •••• , ... .... ...... ..... . .. ... 16
SubJects ••••••••••••••• •••• •••.•••••••••••••• • • •• • •• ••• •••• •• 16
Instrumentation ............. . ..... . ..... .......... . .... . . .... 18
Procedures. . . . . . . . . . . . . . . . . . . . . . . . . . .. .•. . . . . . . . . . . . . •• . . . . .. 24
IV. RESULTS ••••••• •••••••••.••••••• ••••• ••••••••••• • •••••• • •••••••• 28
Cogn i tion . ...... .. • .. . .. ... . •.. .. ...... • ........ . ... . .. . ..... 29
Memory •••••••••••••• •• ••••••• • . •• ••••••• •• • • • •••••• •• ••• • •• •• 30
Evaluat ion .................... . .... . ................. . . .. .... 31
Convergent Production ... . ...... . .. . .•... . .......... . .. . .. .... 32
01 vergent Production .... .. . ....... ....... . .... . . ... .......... 33
V. OISCUSSION ••••••••• . ••••••• • •••••••••••••••• • •• • •• •••••••••••• • 34
APPENDIXES • •• • ••••••••••• •• •••••• •• •••• •••• •• • •••••••••••••• •• ••••• •• •• 39
REFERENCES ............. . ... .. ........ ... ....... . ...... . . .. .. . ... . ...... 43
Iv
LIST OF TABLE,
I. Genera l Abillteis (operations) Grade Level 4 •• .•.••.•. .• .. •••...... 21
2. Source Tab le for ANOVA on Pretest Findings ....•....•.••.••• •• •..•.. 28
3. Cognition : Surrmary of Analysis of Covar iance . ..••. _ ..• , _ • ..•. ••••. 29
4. ~1emory: Sunmary of Analysis of Covariance • .••. ••.•• • .• ••• ••.•• .•.. 30
5. Evaluation: Sunrnary of Analysi s of Covariance . ................. ... 31
6. Convergent Production: Summary of Analysis of Covariance .. ........ 32
7. Divergent Production: Summary of Analysis of Covariance ........... 33
8. Socia-Economic Status .........•... . ......... . ........ . ........ •. ... 34
v
LI ST OF APPENDIXES
Appendix
A. Teacher ReCOfTI11endatlon Form ... • .. •.•• . • . .••• • . •.. • • .•. •..• .. 39
B. ObtaIned and Adjusted Means:
Cognition , Memory. Evaluation, Convergent
Production and Divergent Production ... . ..... . ... . ..... .... 42
GUILFORO"S STRUCTURE OF INTELLECT THEORY : AN EVALUATION OF THE THREE OIMENSIONAL MOOEL ANO TflE HIPLICATIONS FC~ iTS USE
IN THE EDUCATION OF THE ACADEMICALLY GIFTED CIIILD
Judith 11. Pa rr May 1984
Directed by: D. Redfield, C. Mar tray, R. MIl ler
Department of Psychology Western Ke ntucky University
There is much current interest In the field of educat ion con
cerning the academically gifted student's needs. Gui lford's Structu re
of Inte ll ect mode l (Gu! I ford, 1956) holds particular promise fo r
positive ly infJuer.cing the deve lopment of cogniti ve skills among
academica lly gifted student s. The pu rpose of this study was to
eva luate the effect of using a program of instruction based upon
Guilford ' s Structure of Intellect (SI) ",del (Meeke r, 1969) with
ch il dren identified as academica ll y gifted, Subjects cr.~·.I, sted of
68 fourth-grade students who resided in two count ies of northwes tern
Ke ntucky and who were identified as bei ng academ ically gifted. The
treatment group conS isted of 34 academically gifted fourth-grade
students at tending vari ous schools in one of the counties. Edch
student in the t reabment group received thre~ hours of instruction
per week based on the 51 mode l. This 51 instruction was on a resource
basis. outside their regular classrooiTI Instruction. and lasted for a
total of 34 weeks . The control group consi sted of 34 academically
gifted four th-grade students who attended school within a second
county in northwestern Kentucky. The control group received no
instruction based upon t he SI mode l ; rather, they received only
traditional instruct ion in a regular class room. The depende,lt varl-
abi es were t he abiliti es of evaluation. memory. cognition, divergen t
production. and convergent product ion as defined by Guilford and as
vii
me~sured by the five subscaJes of the Structure of Intellect/learn_
Ing Abilities (SOl/LA) test (Heeker. 1969) which possess Independent
items across the Subtests. A pretest-posttest control group design
was used. Five analyses of covariance were computed, one for each
of the five dependent variable measures. Results of the analyses
indicated significant differences between the SOl/LA scores of the
treatment group over the control group at the time of posttesting
for all of the dependent variable measures except memory. ReSults
of this study demonstrated that a program of instruction, based
upon Guilford's SI model, POsitively influenced the development of
cognitive skills, as measured by the SOl/LA test, among students in the treatment group,
vIII
CHAPTER I
Introduction
Intellectual giftedness and the education of intellectually
gifted children lias been of interest to philosOPMrs and educators
for many years (Hildreth, 1966 ; Terman, 1947). Continuing interest
in the intellectually gifted prevails today. In fact , there seems
to be n current aura of urgency surrOunding the necessi ty for develop
ment of eductlonal programs for academically gifted students (Gourley
and RIChert, 1978; Ja ckson, 1977). Some of this interest is re flected
by increased allocation of tax dolla rs for gifted education as well
as the development of speCial interest group~1 ~ .~ ~ . the Nati onal
ASsociation for Gifted Education and it IS state leve l affiliates.
The types of educational programs currently in use with the
gIfted are varied (Maak and Swlcord, 1979 ; Porter, 1968; Clifford,
1972 ; Gensley, 1972; Luca and Al len, 1974, Schwartzstein, 1978). In
general, these programs falJ into one of five categories: (a) accele
ration (Abraham, 1958; Horne and Dupuy, 1981; Keat ing and Stan ley ,
1972; Robeck, 1968) , (b) enrichment (DeHaan and Havlghurst, 1962;
Horne and Dupuy, 1981; Los Angeles CI ty Schools, 1962), (c) speCial
grouping (Cutts and Mose ley, 1957; Lamping, 1981; Los Angeles CIty
Schoo ls , 1962), (d) specIal school s (Lewis, 1974; Vall, 1979) and
(e) resource pro9rams (Vall, 1979).
Despite the variety of education programs being used with acade
mica l ly gifted students, few were specifica l ly designed for use with
gifted students. Some notable exceptions to this lack of special
programs for the gifted are the Ca lJfornia Project Ta!ent (Robeck,
1968) and the Governor's School of North Carolina (le.is. 1974).
In addition to the lack of special programs for the gifted, very
ltttl~ documentation exists regarding the effectiveness of special
prograllJlling for ~he gifted (Renzulli, 1980). The effects of many
programs currently In use with academically gifted students have not
been empirically validated, relying instead upon subjective evaluation to determine their effectiveness.
One educational program which is being used on a fai rly wide
spread basis with intellectually gifted Children is a Structure of
Intellect (SOl) progrom for gi fted students (Sennett and Markle.
1978; Meeker, 19BI). The 501 program of instruction has particular
appeal for educators because It seems to be built upon a solidly
defensible theory base, I.e., Guilford's Structure of Intellect (51) model (Guilfo rd. 1959).
Guilford's 51 mode l is conceptualized in a three-dimensional form.
i.e., a matrix in whic~ the operational, content and product components
of intellect are related. Many previous models of intellect were
based upon hierarchies. implying that learning OCCurs in a fixed
sequence {Gui lford, 1956}. In other words, hierarchical models do
not allow for skills to be learned out of sequence or Simultaneously.
Guilford's Sf model sta tes that intel lectual functioning requires
five separate abilities, \'Ihlch he refers to as operations. These
operations, which interact with the content and product dimensions
of intellect. have been classified as cognition, memory, evaluation,
convergent produCtion and divergent production. The 51 model may
2
have particular impliCations for educating gifted students. Academi_
cally gifted students, by definition, master basic academic skills
earlier than their non-gifted peers. Therefore . academically gifted
students may profit from additional instruction in non baSic skill
areas, e.g., those described by the 51 model. The purpose of this
study was to evaluate the effects of using a program of Instruction.
based upon Guilford's 51 model, with children Identified as academi_ cally gifted.
3
CHAPTER II
literature Review
MOdels of '"tell igence
Early theories of intelligence proposed that intelligence
consisted on one genera: ability factor. For example, Spearman
( 1904) stated that uAll branches of Intellectual activity have
in conlllan one fundamental function" or general abilJty factor.
However by 1927, Speanman's research I ~d him to believe that the
"one fundamental function" might actually consist of a group of
related functions, each befng saturated by the general factor.
Thorndike (1927) disagreed with Spearman's theory of general
intelilgence. Thorndike proposed that intelligence conSisted
solely of independent, specific mental abilities (e.g., abstract. Socia l, and mechanical).
Thurstone (1935) elaborated upon ThorndJkes' notion of speci
fic mental abilities and provided a multip le-factor theory of
Intel J igence (Thurstone, 1938 ; Thurstone and Thurston, 1941). In
this first major study. Thurstone (1935) thought that as many as
nine common factors were SUffi ciently interpretable PSYChologically
to justify call1ng them "primary mental abilities." The primary
mental abilities included space, number, ve rbal comprehension,
word fluency. memory, induction, deductIon, flexibility, and speed of closure.
4
Guilford (1956) rejected Spearman's initial concept of IntelJf_
gence as a general abilj ~y . He expanded upon the conc~Pts of speci
fic mental abilities as presented by Thorndike (1927) and Thurstone
(1938) by presenting a multi -dimenSional theory of inte ll ect.
Guilford's Structure of Intellect (51) Model of Intelligence
GuJ1ford ' s work progressed through several stages. In the first
stage, Guilford considered Thurstone's primary mental abilities to be
a description of intellectual abilities. During this intitial stage
of his work, Guilford conducted research with aviation psychologists
in the U. S. Army Air Force during the Second World War (Guilford and lacy, 1947).
Guilford believed that Thurstone's primary mental abilities
were one major source of int£:: IH tual abilJties. Guilford's research
with aviation psychologists e~panded upon Thurstone's original con
cept of primary mental abi liti es. Guilford found that, In Some cases.
one of Thurstone's primary mental abilities cor.stftuted just one fac
tor, a component, of intelligence and that some of the abilities
identified by Thurstone could be further subdivided into three or
four factors . In addition to the increase in the number of facto rs
thought to be involved In inte ll igence, Guilford explored new ideas
for the testi ng of reaSoning, memory and conCeptualization.
In the second stage of his work, Gui lford (1949) identified a
major Source of intelJectual abtl Itles through a program of analYSis
conducted by the Aptitude Research Project at the UniverSity of
Southern Californi a. The Aptitude qesea rch Project WdS supported
by the Office of Naval Research (Guilford, 1959); attention .as
directed t oward abilities cor.+rlbutlng to reaS!)nlng, creative
5
thinking, planning eva luation apd problem SO lvi ng. At the termlna_
ti0n of t hi s proj ect in 1969, Gu ! I ford and his associates had identi
fied Over 100 abi l ities which are purported to compr ise intelligence and learni ng.
As these "abilities which comprise intelligence and lea rning"
6
were being Identified in the Aptitude ResearCh Project, Guilford
began an attempt to organize the abilities Into a logical scheme of
learning (Guilford, 1956). Guilford initial ly attempted to organize
these abi l it ies into a hierarchical model . He later discarded this
hierarchica l mode l because it implied a ladder type of learning which
did not allow fo r sklJls to be learned out of sequence or Sim'JJtaneoUSJy.
Gui l ford used the procedure known as mu ltipl e-factor analysis
In order to identify the factorial ab, ~ ;tl e s constituting intel l Igence.
The procedUre of multiple-factor analvs is 'Has deve loped in the United
States (Thurstone. 1944) and is a mathemat ical procedure which
enab les the researcher to classify tests of different kinds. The
classification is based upon the way in which the SCores intercorre_
late wi th one another. The baSic theory includes the belief that
where two or more tests are intercorreJated there is at least one
under lying abil ity or trait Involved, i.e., a COfllllOn factor. If
the analYSis is properly planned and executed, each common factor
appea rs to have a rati onal, Psychologi cal meaning. Factor analYSis
shows that the abil i ties to solve probl ems are essentially the unique
abilities with in the structure of Intellect (Guilford , 1968).
When efforts were f i rst made by Guilford (1955) to organize
the known intellectual ab i l i ties that had been Identified by factor
analys i s , 37 distinct abl!itles ",,'ere recognized. 8y 1958, a total
of 43 abilities had been identified by Guilford and included In his
model (Guilford, 1959). Current ly, there are 120 demonstrated or
hypothes ized ab i lities in the 51 model (Guilford, 1972).
GUilford's SI model class ifies the 120 mental abilities 0n
three dimenSions. One of the three dimensions is the Operational
dimension. Guf I ford defines operation as "major kinds of intellectual
activities or processes: things the organi sm does with raw materials
of information; information being de f ined as 'that which th~ organism
discriminates'" (Guilford and Hoepfner, 1966). The Operational
dimension conSist of (a) eva luation, (b) convergent production,
(c) divergent production, (d) memory, and (e) cognition.
A second dimension of the SI model is the Content dimension.
Guilford defined thi , ' tl:mension as "the Substantive kind of
Information involved jn the ab! l ity." Thus, content is the input
which is processed by one or more of the operations at any given
pOint. The Content dimension conSists of (a) figura l , (b) sym ~ bo li c, (c) semantic, and Cd) behavioral contents.
A third dimension of the SI model is the Product dimension.
Gull ford def ines the Product as "the form that th iS Information takes . "
In other words, Products are the observable resul ts of the Operations
acting on Contents. The Product dimension consist of (a) units,
(b) classes, ec) relations, Cd) systems, (e) transformations, and (f) Implications.
The 51 model, then, is a Cubical model of 120 cells. Each
cell represents a unique ability because of d specific Interaction
of operation, content, and Product. The SI model is depleted by a
5 X 4 X 6 Cubical mo ~rjx as shown in ~Igure 1.
7
" ,
,
Figure 1. The stucture - of - intellect model. representing the intellect ual abi Lities c la ssif ied i n three intersecting ways (Guiiford. 1968) .
Numerous studies ha 'l2 provided Supporting evidence for the
validity of the SI model (Brown, Guilford, Hoepfner, 1966; Cherry,
1976; Elshout, Van Hernert and Van Hemert , 1975; Gershon, Guilford,
Merrifield, 1963; Hoepfner, Guilford, Merrifield, 1964; Landig and
Naumann, 1978; Peterson, Guilford, Merrifield, 1963; Tenopyr. Guil_
ford and Hoepfner, 1966). The studies cited have all been based
on the 51 model and deal specifically with different abilities withIn the 51 model.
Guilford's 51 modeJ presents a model of Intelligence which CQuld
be applied to the education of all children. The SI model offers
specia l advantages in the use of educating academically gifted
8
children. Or. Mae Seagoe, of the University of California, has
stated that the chara cteristi cs of gifted children indicate that
they possess strong abilities in the five operations Gui l ford has
defined in the model . Characteristics occuring to some degree
in all children, but to a stronger degree In children identified as
academical ly gifted, include (a) interest in inductive learning
and problem solving (convergent production); (b) retentiveness,
power of concentration (memory); (c) creativeness and inventive_
ness; interest in creati ng, brainstorming, free -wheeling (divergent
Production); (d) power of critical thinking, evaluative testing
(evaluation) ; and (e) keen power of observation; power of abstrac_
tion , conceptua l ization, synthesis (cognition) (Seagoe, 1967).
If gifted chi ldren show evi ~~",e of the abilities described
by Seagoe (1967), then a mode l of intelligence which emphasizes
these abilities would be a sound baSis upon which to develop an
instructi onal program. Deve lopment of an eductlon~l program for
the academically gifted student requires particular attention to
three specific areas: Ca) Identification, (b) program develop_
ment , and {c} program eval uat ion.
Identification of the Academica lly Gifted
Identification of the academically gifted is a necessary step
in deve lop ing any program designed t o meet the academic needs of the
gifted. Brodbelt (1979) states that educutors must identify and
ana lyze problems in dealing with gifted students and design pro
grams which meet their individual needs .
9
Renzulli and Smith (J977) point to a necessity for using several
criteria in the identification of the gifted Ch ild . Renzulli (1980)
makes the paint that what we call giftedness and talent is made up
of a combI nation of three trait clusters: (a) above average general
abilities. (b) task commitment, and (c) creat ivity .
Research validates the use of several criteria for the identi
fication of gifted ch ildren. (8rodbelt, 1979; Freedman, 1978;
Ga llagher, 1980; Gourley and Richert, 1978 ; Hallll1ll1, 1979; Miller,
1980; Renzulli, 1980; York 1961). Some of the criteria most CO/lll1()nly
used for the identification of the academically gifted child are
teacher recommendation, IQ scores, achievement test Scores, grade
point average, parent evaluation, and self evaluation. Us ing only
one criterion t~ ~~~sure giftedness increases the probability of
overlooking gifted cMldf'~n who are underachievers, do not test well, or are cultural ly disadvantaged.
Instruction of the ,\cademicaIly Gifted
Once the academically gifted have been Identif ied. the next
concern centers on defining the needs of gifted Children and how
to best satisfy these needs. Emphasis In meeting those needs must
be placed upon curriculum construction as well as teaching proce
dures . Many types of programs and curriculums have been used with
academlcaJiy gifted chUdren. rile five major types of programs
most often used tn educating academically gifted Children are
(a) acce leration (Abraham, 1958), (b) enrichment (DeHaan and
Havighurst, 196 1), (c l speCial grouping (Cutts and Moseley, 1957),
(d) speCial schools (Vall, 1979), and (e) resource (Vall, 1979 ) .
10
Acceleration Programs
In an acceleration program, the academica lly gifted child
is allowed to advance academically at an accelerated rate. Accele_
ration was used with academically gifted children as early as J868
in the St. l ouis Public Schoo l System (Abraham, 1958) and in the
Ca""ridge Tracking Plan begun in 1898 (Hildreth, 1966). Drawbacks
to acceleration programs may include the relative emotional, physi_
cal and/or SOCial inrnaturlty of the chUd who "skips grades." Enrichment Programs
In an enrichment program, children identified as academically
gifted remain In the normal classroom setting but receive specia l
attention within that setting. The Portland and Evanston Programs
(DeHaan and Havighurst, 1961) are examples of forma lly argon' zed
enrichment programs. However, enrichment programs are ofte" usell
informally by many school districts having "0 mandated program
for the academically gifted. Some teachers have always rec09nlzed
intel lectually Superior chlidren in their classrooms and made a
special effort to encourage and stimulate those children. However ,
most teachers have children of vastly differing abilities in a Class
room and find it difficult to give specia l instruction to gifted chi Idren.
~ecjal Grouping Program
Another type of program for academi ca J Iy g j fted ch i I dren is
spec ial grouping or tracking, e.g., Cleveland's Major Work Classes
(Cutts and Moseley, 1957). Advantages of Special grouping for
gifted students include (a) Increased Challenges, (b) the Opportun_
ity to progress academicaiiy at a more rapid pace than the , .. ainstream,
il
and (c) the cpportunity for Interaction '-11th peers of similar
abilJty. One disadvantage of speci J! grouping programs is that
their use Is limited primarily to large, urban school systems
where there is a large enough student population to fJ I I the classes. Special Schools
A fourth type of program i nvol ves the estab l i shment of specl a I
schools for the gifted. One example is the Hunter College Campus
School (Vail, 1979). One problem with speCial schools which cater
solely to the academically gifted student is that the student, totally
segregated from the "average" student, has little association with the majority of his /her peers.
Resource Programs
The most COlmlon type of program for ""Ie academi cally gifted
student in Use today Is the resource or "pull-out" type of program.
In a resource program, the academically gi fted child remains In the
normal classroom setting for much of the day. At predesignated
times of the SChool day, the child leaves the classroom to meet
with a small group of other academically gifted chJJdren. Usually,
a speCially trained teacher conducts these classes for the "gifted."
In a resource class, special emphasis I S usually placed on Innova_
tiveness and creativity (Vail, 1979). Students are encOuraged to
generate new ideas and ways of dealing with situations. Most re
SOurce classes make Use of "braJnstonnlng" teChniques. Teachers
often use role plaYing, hypothetical problems, word games to increase
vocabulary, etc. There is a strong emphaSis on helping ~n acade~l_ cally gifted child to recognize many aspects of a given Situation,
evaluate that situation in many ways, and make diverse conclUSions (Brodbelt, 1979).
12
13
Structure of Intellect (SOl) Program
Improving a student's abi l ity to recognize, evaluate, reason and
think creatively are appropriate goals of any educational program.
These abi lit ies are more often emphas ized in programs for gifted
students than in mainstream programs. A program of educational
instruClion which emphasizes these abilities exists and is based Upon
GUilford's 51 model. This program was developed by Drs . Robert and
Mary Meeker in the 1960s and is referred to as the Structure of
Intellect (SOl) Program (Meeker, 1981). While the SOl program
was not specifically developed for use with academically gifted
Chi ldren, a strong rationale can be presented for using the SOl
program wIth gifted students (Bennett and Markle, 1978). T, ~ SOl
program emphasi zes instruction in the operations of the SJ model
and focuses upon many of the Ski ll s which teachers of gifted children
seem to perceive as important. The Sal program of instruction in
cludes workbooks and resource materials which deal with e~ch of the
five operations of the SI model. The 501 program ca n be implemented
within the setting of a separate school, a separate Class, or a resource program.
Evaluation of Programs
Programs for the academically gIfted may be more diverse among
themselves than educational programs designed for the traditional
c lassroom. Some schOOl districts which have gifted programs have
tailored those programs to meet specific needs. The flexibility
typica l of many gifted programs does not readily lend Itself to
objective evaluation. Hence, many gifted programs are eva luated
Subjectively. However, objective evaluation of any program of In
struction is deSI rabl e In order to JustIfy the exIstence of the program.
The Structure of Intellect learning Abilities (SOl/LA) te~t may
provide an objective mea sure of program effectiveness . The SOl / LA
test was developed by Drs . Robert and Mary Meeker to Ca) be used as
a diagnostic tool and (b) to evaluate the progress of gifted students
participating in the 501 program. In the Initial stages of deve lop_
IDent of the Sal / LA test. the Meekers examined existing Intelligence
tests , particularly the Dinet (Meeker , 1969). The Binet offers high
reliability and validity but yields an unitary score,thereby Im
plying that intelligence I! a single, general ability. However ,
the Meekers attempted to place the Items of the Binet into appro_
priate ce lls of the 51 model. It was the Meekers'bellef that assign_
ment of Binet items to 51 ce ll s would allow educators to define
deficiencies and,therefore. teaCh to these deficiencies.
The SOl /LA tes t Is designed to al low fo r group administration
and conSists of 24 subtes ts . Each Subtest measures severa l cells
contained within ~ach of the five operations of GUilford's 51 mOde l.
While there are 120 cells in Guilford's 51 model, t he SOl /LA test
purports to measure only 24 of these ce ll s. Some cel ls of the 51
model have only been hypothesized at this paint; their existence
has yet to be demonstrated or validated. Resear.ch Jnto the SOl/LA
test and the 51 mode l has continued Since the initial development
of both (Bennett and Ma rkle, 1978; fast Whittier City School Di s
tr ict, Ca lifornia, 1974; flsout , Van Hermert, and Va n Hemet, 1975;
fowler, 1966; Guilford , 1972; Horn and Knapp, 1973; Horn' and Undhelm,
1977; landi9 and lIaumann, 1978; Meeker , 1981) ,
14
Ratfonale
The purpose of this study was to determine the effect of a
specific type of Instruction upon Chi ldren Identified as academi_
cally gIfted. The speclFJc instruction was based on GUilford's SI
model of Intelligence and Drs. RObert and Mary Meeker's SOl program of learning.
One school system In northwestern Kentucky Mas adopted GUilford's
model of intelligence and based its curriculum for gifted students
on the SOl program. The study reported in this thesis examined the
effects of using the SOl program of instruction with academically
gifted fourth graders during the 1981-82 school year In this schoo l
system. An adjacent county which had no progr~m for the academically gifted functioned as a control group.
Hypothesis
The hypothesis of this study was that the specified and described
training in the SI program WOuld be Positively related to improvement
on the cognition, evaluation. convergent production and divergent
production subsca les of the SOl/LA test. Significant improvements
In SCores for the memory subscaJe were not expected because the treat_
ment program does not emphasize the operation of memory.
15
CHAPTER III
Methods
Subjects
Students, identified as being academically gifted, were selected
from two adjacent county school dIstricts in Kentucky . Identified
students In one school district comprised the treatment group; identi
fied students in the other school district compri sed the control
group. There were 34 subjects In each group. All subjects were en
rolled In the fourth grade during the 1981-82 school year. All 68
subjects qualified for admittance Into the gi r t~~/ta lented program
according to the guide lines then in use In th~ tr~~tment group school
district. The four criteria used to Identify gifted students in both
counties were (a) teacher recommendation. (b) a grade pOint average
(GPA) of 3.0 or hIgher. (c) CalIfornIa Test of BaSic Skills. form S
(CT6S/S) scores above the 9Ist percentIle. and (d) Short form Test
of Academic AptItude (SFTAA) scores above the gist percentile.
None of the subjects in either the treatment group or contro l
group had previously participated 1n any type of speCial program for
the gifted/ta lented. The treatment group conSisted of 17 boys and
17 girls, aged eight to ten. The control group conSisted of 13 boys
and 2i girls. aged ei9ht to ten.
Subjects were selected as follows. Computer ~rJntouts which
contained both CTaS/S scores and SFTAA scores for all fourth grade
students were examined. Based upon these two criteria, a potential
16
pool of subjects \'Ias selected. Each potential subject was then
examined individual ly using the other two criteria, i.e., 3.0 GPA
and teacher nomination. Any student who was outside the given age
limits, i.e., eight to t ~n years of age, or had been previously
exposed to gifted training or specialized instruction was excluded
from the potential samp le pool. Consideration was given to the
fact that t he male/female ratio in the two samples was not balanced;
but, the only contro l for this potential between-group inequity
would have been to use fewer subjects in each group. Such reduction
In samp le size was rejected because a sma ll er samp le size would re
duce the power of t he statistical analyses.
Subjects In the control group were drawn from a northwestern
Kentucky county In which the main source of revenue Is the coal
industry. The population of the control county In the 1900 census
was 21, 765 (Urban Studies Center , 1982). There were nine e lementary
schoo ls in the contro l county which contained either Kinderga r ten
through sixth grade or Kindergarten t hrough eighth grade. The con
trol county had one middle school. grades seven and eight. and one
high school. grades nine through twe lve. At the tlme of this study.
the control county had no educational program for academica ll y gifted students.
The treatment county is adjacent to the control county. The
population of the treatment county in the 1980 census was 83,949
(U rban Studies Center, 1982) . The treatment county contained both
a city and a county schoo l district. The population of the treatment
county, excluding the City, was approximately 31 ,555 (Urban Studies
center, 1982). The treatment county schoo l district had 13 e lemem.Jry
schools which were either Kindergarten through fifth grade or Kinder
garten through sixth grad~; two middle school s which included grades
six, seven and eight; and two high schools containing grades nine
through twelve. The treatment county had been receiving state funds
to operate a gifted program since 1978. Income among county residents
comes from industries located outside the city I iml t s , e.g.,
mining, farming.
Both the contro l and treatment counties are predominantly rural
in structure. The students enrolJed in both school systems at the
time of this study were predominantly white, middle class children.
I nstrumentat ion
Four criteria have been recommended for us~ in the state of
Kentucky to identl fy academically g1 fted chi Idren. These cd l'<:i'l a
include (a) teacher recoomendation, (b) a grade point average (fiPA)
of 3. 0 or higher, (c) California Test of Basic Skills, Form S (CTBS/S)
scores above the 915t percentile, and (d) Short Form Test of Academic
Aptitude (SFTAA) Scores above the 91st percentile.
Teacher Recommendation or Nomination
Classroom teachers were given an evaluation sheet by their
principal for use with each student. Although evaluation forms
may vary slightly from district to district, basic guidelines for
the forms are establ ished by the Kentucky Association of Gi ft.ed
Education and include Questions concerning attItudes, motivation,
etc. All subjects in this study were evaluated using the same form.
IB
To Qualify for recommendation, a subject has to receive positive
rat ings on 10 or more of the 21 items included on the form. A
copy of the form appears in Appendix A.
Grade Point Average
Students must have at least a 3.0 average on a 4.0 scale to
be identified dS dCddemiCdlly gifted. This guideline hdS been
recommended by the Kentucky Association for Gifted Education.
All students participating in this study did satisfy this criterion.
Comprehensive Test of Bdsic Skiils, Form S (CTBS/S) Score
The CTSS/S is an aChievement test, administration of which is
mandatory in the state of Kentucky at grades 3, 5, 7, and 10. The
CTBS/S inc ludes math, reading, and language subtests . The reliabi
lity coefficients for CTBSIS (KR 20) .' ~r.de 4. 7 are .97 for
total reading; .95 for total language; .97 for total mathematics;
and .99 to total battery. (Del Monte Research Park, 1974).
Guidelines for gifted education in Kentucky suggest that
students score at the eighth or ninth Stanine to be admitted to
a gifted program. The gifted/talented program requirements In
the treatment county states that students must SCore above the
9lst percentile on the CT8S/S in order to satisfy this admission
Criterion. The 91st percentile is a Stanine score between eight
and nine. This 91st percentile fjgure was used to detennine eligi
bility for a gifted program for both treatment and contro l group subjects.
,. .
19
20
Short Form Test of Academic Aptitude (SFTAA) Scores
Administration of the SFTAA was not mandated by the State 0f
Kentucky; but. it was usually given by the classroom teacher In con
junction with the CTBS/S. The SFTAA is purportp.d to measure academic
aptitude. The KR 20 corre lJt ion coefficient for the interna l con-
s I stoney of the SFTAA at tho fourth grade leve I Is. 95. The SFTAA
reliability coefficients of stability for test-retest over a 14
month Interval are .82 for language; .74 for nor.-Ianguage; and
.85 for total. (Del Monte Research Park. 1974). The minimum re
Quirement for acceptance into the gifted program in the treatment
county was a score above the 91st percentile on the SFTAA. This
figure was arrived at because it Is half-way between the eighth and
ninth Stanine. The same criterion was used to select control subJects.
The 501 ItA Test
Since it's original pub li cation in 1975, the SOl /LA test has
been use~ in studies and education programs throughout the United
States, Canada. Australia, and Is rael. Origi nal normlng was done
in 1975; the SOl / LA test was renormed in the fourth Quarter of 1980.
In the 1980 norming there were six sites; New Albany, Indiana;
Guthrie, Oklah~; Imperial Beach, California; Sol ana Beach, Califor
nia; Ramona, California; and laredo , Texas.
Reliability studi es concerning the SOl/LA involved both test/
re test and al ternate form components. At each of the nOrm group
testing Sites. half of the students were Initially tested on Form A
and half on Form B. Within a two to four week interval all students
were retested. Half of those initially tested on Form B were
••
retested on Form A dnd the other half with Form B; similarly .
those injtially tested on Form A. were retested with Form Band
the other half with Form A. At each site, four groups were created.
Additi onally, each of these groups included equa l numbers of males
and females as was PoSsible. The narming was done at grade levels
two through si~ . The baSic conditions of testing represent a 4 X 2
sp li t plot deSign with the fou r groups representing the sequence of
test administration. Re l iabi l ity coefficients yielded by the 1980
narming study of the SOl /LA test for Guilford ' s five operations are presented in T~ble 1.
Tab le 1
General Abilities (Opera tions)
Grade leve I 4
21
Rellabill ty Coefficient Cogoi ti on Memory Convergent Divergent
Eva luation Production Production
Test/ Retest
Alternate Form
.75
.72
.42
.57
.64
.66
. 69
.73
••
.47
.50
The SOl / LA test con s i~t of 24 sections categorized into five
subtes t s. Each subtes t provides d measure fol' one of the five
operations of the SI model. Hence , the subtests are label ed
(a) Cognition; (b) Memory; (c) Evaluation; (d) Convergent Pro
duct ion and (e ) Divergent Production.
22
COgni t ion. There are nine subtests which together measure the
operation of cognition; these nina subtests each represent a unique
learning ability as conceptualized in the SI model. Each subtest
actually represents the three unique abilities present in one particu
lar cell of the 51 model. The nine 5ubtests measure: Ca} Cognition
of Figural Units (CFU) whi ch Is the ab i lity to recognize fam i liar
figures that have been partially obscured and a prerequisite for
learning to read; (b) Cognition of Figur ,q Classes (CFC) which is
the abili ty to identify the cla ss or c lasses to whi ch a presented
figure belongs ; (c) Cognition of Figural Systems (CFS) which is the
ability to perceive a system from any viewpoint; ed) Cog~ition of
Fi gural Transformations (eFT) which 10:: the ability to transform
figures and to recognize a figure when it has been rotated into a
new orientation; ee) Cognition of Symbolic Relation (CSr.) which is
the abi l ity to find the relationship between letters embedded In
pairs of words and select the correct word to complete the third pair;
( f ) Cognition of Symbolic Systems (CSS) which is the ability to find
the rule that is generating a number series; (9) Cognition of Semantic
Units (CMU) which Is the ability to comprehend the meaning of ideas
or words; (h) Cognit i on of Semantic Relatlof's (C'IR) which Is the
ability to see relationships between meanings of words or Ideas; and
(i) Cognit ion of Semantic Systems (CII.:) Which Is the a', lllty to under
stand relatively complex and difficult ideas.
23
Memory. There al"e four subtests in the SOl /LA which purport to
measure the operation defi ned as memory. These four subtests measu re
Ca) Memory of Figural Units (MFU) whi ch Is the ab ility to remember
given figu ral objects; (b) Memo ry of Symbo li c Un its (~'SUl which is
the ability to remember iso lated items of symbolic infonnat ion. such
as sy llables and words; ecl Memory of Symbolic Systems (MSS) whi ch
is the ability to remember the order of symbo li c Information; and
Cd) Memory of Symbo li c Imp l ications (NS!) whi ch is the ability to
remember arbitra ry connect ions between symbo ls.
Evaluation. The SOl /LA contai ns four tests whi ch seek to measure
the operation of eva luati on. These four tests measu re Ca) Evaluation
of Figural Units (EFUl which is t he abi lity to j udge uni ts of figural
information as being simi lar or different; (b) Evaluati..f-. ~Jf Figural
Classes (EFC) which is the ability to classify units spetifi 0d In
some way; ec) Evaluation of Symbo li c Classes (ESC) whi ch is the
ab ility to j udge app l icabi li ty of class properties of symbolic in~
formation; and (d) Eval uat ion of Symbolic Systems CESS) which Is t he
abi lity to estimate appropriateness of aspect s of a symbo l ic system.
Convergent Production. For the operati on of Convergent Production,
there are four subtests contained within the SOl / LA. The four sub
tests measure (a) Convergent Production of Figural Units (tWU) which
is the abi I i ty to cool'di na te eye t o hand; e b} Convergent PrOduct I on
of Symbolic Systems (NSS) whi ch is the ability to produce a fully
determined or sequence of symbols; ec} Convergent Production of
Symbol ic Transformati ons (NST) which is the abi l ity to produce new
symbo l ic items of information by rev ising given items; and
••
(d) Convergent Production of Symbol ic Impl ications (NSI) which Is
the abi l ity to produce a comp letely determined symbolic deduction
from given symbolic infonmation, where the implication has not been practiced as such.
Divergent Production. There are three subtes ts which measure
the operation of Divergent Production in the SOl/LA. These three
measure (a) Divergent Production of Figural Units eOFU) which is
the ability to produce many figures conforming to Simp le specJfica~ tions; (b) Divergent Production of Semantic Units (DMU) which is the
ab1JJty to produce many elementary ideas appropriate to given require_
ments; and ec) Divergent Production of Symbolic Relations (OSR) which
is t~e ability to relate letters or numbers in many different ways.
These twenty-four subtests were selected (from the comp lete model
of ninety identified abilities) for their established relationship
to school learning--particu larly reading, arithmeti c , writing and creatlvJty.
Procedures
Tlds study assumed a pretest posttest control group desi gn.
Subjects in both the treatment and control groups were selected using
the same four criteria , i.e. , teacher reCOtmlendation, GPA, CTDS/S
test scores and SFTAA test SCores.
Using the four criteria, two groups of Subjects were selected
by the experimenter during the first two weeks of September 1981.
Each group conSisted of 34 students. FOllowing group placement,
both treatment and control subjects were administered Meeker's
24
SOl/LA test between SepteRmer 14 and October 7, 1991 . The test
was administered in groups of not more than fifteen students and in
from two to four sittings. Each subject had at least one morning
~nd one afternoor. testing period. Tests were administered by the
experimenter and teachers in the gifted program, all of whOOl had
been instructed In the administration of the SOl/LA test by repre
sentatives of the 501 Institute. All subjects were given the
opportunity to complete all portions of the SOl/LA test.
Following administration of the SOl/LA test, the tests of
both treabnent group subjects and control group Subjects were
Scored by the experimenter. To control for experimenter bias
all test protocols ~ere placed in random sequencing; the experi _
menter/scorer remained blind regarding the group identity of each
protocol. Al l SCOring on al l sections of the pretest administration
of the SOl /LA test was done by the experimenter to Control for
interrater consistency. Intrarater stability was established by
ha~ing the experimenter rescore Six randomly selected tests from
each group_ Rescoring was done after an interval of three weeks.
There were no changes In Scores upon resCoring; hence Intra rater
stabi l ity for Six cases across three weeks was 1.00.
The independent variable in this study was the type of educa
tional program {instruction in SOl ski ll s vs no specia l ized instruc_
tion in SOl skilJs}. Children who Qualified for the gJfted program
in the treatment County were given the SOl/LA test as a diagnostic
and evaluative test upon their entrance to the program. Once the
SOl/LA test had been scored and evaluated. a "profile" was generated
25
for each student based on the SOIILA test, and Indlvidu a~ strengths
and weaknesses were pinpointed. The specialized areas of instruction
In Gui lford's five operations were used to set up the course of study
to be followed wJthin the gl fled program.
~ducators and teachers working wi t hin the gifted program re
ce ived training from representatives of the 501 Institute In the
summer of 1980. Each teacher In the gifted program received five
manuals, each manual contained instructions for teachi ng one specific
Sf operation. Each manual was subdivided by products and contents
wi thin each operation. The four teachers met once a week routinely
as a group to establish curriculum and select activi ties . In those
meetings, the program director evaluated the direction and p'-Jress
of the program, made suggestions, and so licited feedback fro~ the teachers.
The gifted program used a pull-out technique to segregate
academically gifted children into special classes for a period of
time each week. Subjects in the treatment group met with the gifted
teacher in specia l sessions whi ch lasted from one to three hours
a week. These meetings OCCurp.d during normal school hours. Each
student in the gifted program was required to complete regular
school work mi ssed while that student participated in the gifted program.
In this resource program, the teacher se lected activities from
the Sal workbook to correspond with skills that needed improvement
(as Indicated by results on tne SOIILA test). If all the students In a
particular group needed work In a certain operation , then I~structlon was given in a group sitting. If individualized Instruction
••
26
was ca lled for, then the Instruction was tailored for a specific
Child. Groups nOrmally ranged In size from four to seven; USually
all children in a group were In the same grade. At any given time
during the Instruction, the ratio of gifted s tudents to teacher Was about five to one.
This SOl program Is Used as a reSOurce Prog,.am In the treat_
ment county for educating children Identif ied as gifted. The 1981-82
school year was the second year in which a program based specifically
on the SI model and the SOl/LA test and corresPOnding Workbooks was
Used. SUbjects In the COntrol group received no speCi al Instruc_
tion, Since no gifted program was avai labl e to them. A placebo
pull-out Program was not feasible for the contrOl group Subjects
because the treatment group schaal system had neither the money,
personnel, nOr inC l ination to prOvide Such a Program.
About four weeks prior to the end of the school year, the
SOl /LA test was a~ain administered to all Subjects in both the treat_
ment and contro l groups. The procedures Used dUring the pretesting
were repeated. All Subjects in both groups were tested USing the
same form of the SOl/LA test which had been Used in the pretest.
Personnel administering the tests remained the same. P.II tests
Were again SCored by the experimenter, USing procedUres Identical
to those Used at the time of pretesting to establish Interrater and
Intrarater reliability. POsttestlng was completed for all 68 Sub_ jects by May 7, 1982.
••
27
CflAPTfR IV
Resu J ts
USi ng an analysIs of variance (AI/OVA). significant di fferences
between the two groups Were found to eX ist at the onse t of the study.
There was a sIgnifIcant effect for the groups x subsca l es interactIon
(~.320 ~ 3.571. £ ~. 05). Because the interact I on was s Ign I f/can t
the main effects could not be direct ly interpreted. Th e Signifi _
cant interaction indicated Significant (£ ~ .05) between group differ_
ences on the Convergent PrOduction and Oi vergent Product ion subsca l es.
To increase preCision and maintain conSistency . analyses of Covariance
(AI/COVAs). Using the general I inear mode l procr ';': re of the Stat Istica l
Ana lYSis Systems (Helwig. 197B). were computed tor each of the five
subsca les USing pretest Scores as the cOvariates. The resu l ts of t he
initial 2 X 5 (group x subscale SCore) repeated measures ANOVA I, pre_ sented in Table 2.
Table 2
SOurce Tab le for ANOVA On
Pretest FindIngs
Source df SS /IS F P Groups
.136a . 136 19.429 .05 SUbscil les
4 I. BI4 .454 64 . B57 . 05 Groups x SubscaJes
4 . 098 .025 3.571 .05 Error
320 2.130 .007 Total 329
a Note:
Ana JyS j S was based upon percent correct rather than
raw SCores . • • 28
Cognition
ANCOVA of the scores obtained on the cognition subscaJe of
the SO I ILA test shows that the treatment effect for groups. after
adjusting for Initial between group differences. was sign ifi cant.
£(1. 64) = 12. 86 . E. =.0006. The covariate effect Is .Iso slgnlfl_
eant. £(1. 64) - 4S. 79. E. =.0001. sUbstantiating the need to re
move Its effect usi ng ANCOVA. The nonslgnlflc.nt interact ion.
£(1. 64) = 1.86. E. =.1769 •• ll ows fo r direct Inte rp retation of
the adjusted t reatment effect for groups. The results of the
ANCOVA for the cognition variab le are Shown On Table 3. Obta ined
mea ns and means adjusted for Initial be t ween group differences are shown in Appendix B.
Tab le 3
Cogniti on: SUlMla ry of Analysi s of Covariance
Source df SS F P
Explained Variance 3 4357.594 1 20.17 .0001 Covariate
3297.0J32 45.79 . 0001 Adjusted Treatment 926.3079 12.86 .0006 Interaction 134.2530 I. 86 . 1769 Residual within
64 4608.5235 Total Residuals
67 8966.1176
••
29
30
Memorl
ANCOVA of the SCores obtained On the memory Subsca le of the
SOl / LA shows that the effect for groups. after adjusting for Initia l
between group differences. was nonSignificant. £(1.64), 2.S0. J!.,
. II gO. The cOvariate effect was significant. £(1 . 64) , 19.07. J!.,
.oonl. sUbstantiating the need to remove Its effect USing ANCOVA.
The nonsignificant Interactlon. £(1 . 64) , 0.36. J!. '.5520. allows for
direct Interpretation of the adjusted treatment effect for groups.
The results of the ANCOVA for the memory variab le are Shown in Table 4.
Obta ined means and means adjus ted for Initial between group differ_ ences are shown in Appendix B.
rabl e 4
Memory: Surrmary of Analysis of Covariance
Source df SS F P
EXPlained Variance 3 931. 5622 7.31 .0003 Covariate 810. 2889 19.07 .0001 Adjusted Treatment 106. 0826 2.50 . 11 90 Interaction 15.1907 0.36 .5520 Residual within
64 2719.2025 Total ReSiduals
67 3650. 7647
31
Evaluation
ANCaVA of the Scores obtafned on the evaluation subseale of the
SOI / LA test shows that the treatment effect for groups, after adjust_
ing for initial between group differences, was significant , f,(l. 64)
8.32, £ =.0053. The covariate effect is also significant [(I, 64 =
20.74, £ =.0001, substantiating the need to remove Its effect using
ANCOVA. The nonsignificant Interaction, [(J, 64) = 0.14 , £ =. 7091,
allows for direct Interpretation of the adjusted treatment effect
for groups. The results of the ANCOYA for the eva lua tion variable
are shown on Table 5. Obtained means and means adjusted for initial
between group differences are shown in Appendix B.
Table 5
Evaluation: Summary of AnalYSis of Covariance
Source df 55 F P
Explained Varj ~nce 3 934.06 19 9.73 .0001 Covariate
663.3030 20.74 .0001 Adjusted Treatment
266. 2660 8.32 .0053 Interaction
4.4930 0.14 .7091 Rt!siduaJ within 64 2047. 1586 Tota l Residua ls 67 2981. 2206
32
Convergent Production
ANCOVA of the Scores obtained on the convergent production sub.
sca le of the SOl/LA test Shows that the treatment effect for groups.
aftel' adjusting for initial between group difference. was signJ .
flcant !O, 64) • 17.36, E. ·.0001. The covariate effect accOunted
for slgnlfican, amount of exp lained !O, 64) • 43.61, E. •• 0001,
Substantiating the need to remove its effect using ANCOVA. The
nonsignificant interaction, !O, 64) • 0.03, E. •• 8592, allows for
direct Interpreta tion of the adjusted treatment effect for groups.
The results of the ANCOVA for the convergent production variable
are shown on Table 6. Obtained means and means adjusted for initial
between group differences are shown in Appendix 8.
Table 6
Convergent PrOduction: Summary of AnalysiS of Covariance
Spurce df SS F P
14877.9574 20.34 .0001
Explained Variance 3
Covariate
Adjusted treatment 10635.7952 43.61 .0001
Interaction 4234.4272 17.36 .0001
7.7350 0.03 .8592 15607.5721
30485.5294
Residual within 64
Total Residuals 67
.-
33
Divergent Production
ANCOVA of the scor~s obtained on the divergent production sub
scale of the SO l/LA test shows that the treatment effect fo r groups,
after adjusting for initial between group differences. was signifi
ca nt £.(1, 64) = 16.89 , £ =.0001. The covariate e ffect is also s igni
ficant [(I, 64) = 11.23 , £ =.0014, substantiating the need to remove
Its effect using ANCOVA. The nons igni f icant Interac tion, [(I, 64)
1.66, £ =.2017, allows for direct interpretation of the adj us ted
treatment effect for groups. The resul ts of the ANCOVA for the
divergent production variable are shown on Table 7. Obtained means
and means adjusted for Initial between group differences are shown
in Appendix 8.
Table 7
Divergent Production: Summary of Analysis of Covariance
Source df SS F P
Explained Variance 3 29663. 507~ 9.93 .0001 Covariate 11188.3140 II. 23 .0014 Adjusted treatment 16817. 7100 16.89 .0001 Interaction 1657.4833 1. 66 . 2017
Residual within 64 63742.7721
Total Residual s 67 93406.2794
CHAPTER V
Discussion
Analysis of initial pretest scores of the SOIILA indi ca ted 5lgol-
ficant differences on some variables between the treatment group and
the contro l group at the onset of the study. This difference can
perhaps be explained. Although all subjects In both groups sat is
fied the same four criteria. an Investigation of the Socio-Economlc
Status (SES) of the two counties from which the two groups were drawn
may provide some useful insights (Urban Studies Center, Louisville,
Kentucky, 1982) . SES data is presented In Table 8.
Table a Socia-Economic Status
%. Fam! lies Median Years of School Group Median House- Below ?overty (25 and over) hold Income leve l Males Females
Treatment County $7867 9. 2 11.8 12.2 Control County $5003 24 . 5 8. 7 8.9
34
••
35
Average SES differs between the two counties. MedJan educati on
level of adu lts over age 25 is more than three years lower in the
treatment county than in the cont rol county. Also. 24.5'; of the
families in the contro l county live below the pove r ty level com
pared to only 9.2% In the treatment county.
The home environment in which a child Is raised is not a factor
which can be totally disregarded. Parents serve as role mode ls for
their offspring. The social and cultural facto rs of the home often
influence children's goals and motivations. It may be that the signi
ficant difference found between the two groups on the basis of the
pretest scores is a difference due main ly to the differences in SES
level s of the two groups.
In order to obtain both ;:"djchion and consistency, posttest
data were submitted to ANCOVA. The signif icant treatment effect
for the cogn iti on variable support the hypothesis that the speci
fied and described training in the 51 program was positively re
lated to improvement on the SOI/LA test in the area of cognition.
There are nine subtests within the SOI/LA which are speci fi cal ly
designed to measure the components of the operation of cognition.
The treatment program does place emphasis on improving cognitive
skills as defined by the 51 program and, hence, the SOI/LA test.
The control group also improved their scores on the SOl/LA test
area of cognition. but the improvement was not s ignificant when
compared to the Improvement made by the treatment group.
No s ignificant treatment eff~ct was demonstrated for the
memory subscale of the SOIlLA test. Thi s finding might be ex
plained in two ways. In the pretest finding!, it was noted that
••
most subjects in both testing groups rece ived high scores on the
Questions in the memory sections. In the pretest. nume rous sub.
jects In both groups rece ived perfect scores on one or more of
the four memory subtests. In effect. most students ' scores on
the memory subtests had little room for improvement.
36
A second explanation for a lack of improvement in "memory"
scores by the treatment group may be that the treatment program
did not emphasize memory skil ls per se. Rather, the treatment
program attempted to broaden cognit ive , eval uative and creative
skil ls. The findi ngs of this study appeared to justify the
direct ion that the treatment program had taken with regard to not
specifically teaching memory ski ll s. Apparently students identi
fied as academ ically gifted, re-j,(\JI.'!ss of group , already had well
developed memory ski ll s.
The s ignificant treatment effect for the evaluation variable
indicated that use of the SI program was positiv~ly related to im
provement on the SOl/LA test In the orea of evaluation. There ar~
four subtes ts In the SOl/LA which are used to measure evaluation.
The treatment program emphasized improving evaluative ski lls as de
fined by the 51 program and. hence. the SO l /LA test . The control
group also improved their scores on the SOl/LA test in the area of
evaluation. but the improvement was not significant when compared
to the improvement i n the scores of the treatment group.
The significant effect for the convergent production variable
suggests that use of the St program was Positively re lated to im
provement on the SO l / LA test in the area of convergent production •
••
37
There are fcur subtests In the SOl /LA which deal specifically with
the operation of con't'ergent production; the treatment program did
place emphasis on improving conve rgent production skills. While the
contro l group made some improvement in scores in the area of con
vergent product i on. the i r improvement in scores was not s Ignl fj cant
when compared to improvements made in scores by the treatment group
in the area of convergent production.
The significant effect for the divergent production variable
suggests that use of the 51 program wa s positively related to improve
ment on the SOl/LA tes t in the area of divergent production. There
are three subtests in the SOl/LA which dea l specifica lly with the
operation of divergent production; the treatment program did place
emphasi s on improving d l .,.~ .-gent production skills. While the con~
trol group made some improvement In scores in the area of divergent
production, their improvement in scores was not significant when
compared to improvements made In scores by the treatment group in
the area of divergent production.
In summary. the treatment, whi ch was composed of specified in
struction in th ~ SI program, was positively related to a signifi
cant increase in scores on the SOl/LA test In four of the five aredS,
Le., cognition, evaluation, convergent production and divergent
production. Improvements made by the control group in these four
areas were not signifIcant when compared to improvements made by the
treatment group. At the time of the posttest, all students were
taking the SOl/LA for the second time. Also, all students had com
pleted an additional year of schooling (the fourth grade). This
.-
familiarity with the test and additiona l education was expected to
increase all subjects scores to some degree. However, the obtained
means for the treatment and control groups support the hypothesis
that Improvements by the control group were not significant when
compared to improvements in scores made by the treatment group on
the SOl/LA.
Based on this study, It may be concluded that academically
gifted students in the treatment group did significantly increase
their scores on the SOl/LA test after being exposed to specific
treatment in the 51 model . These increases were noted in the
areas of cognition, eva luation. convergent production and divergent
production. The 51 model appears to have particular impl ications
for educating academical ly gifted students. Ba ~~~ Upon the results
of this study . it can be concluded that a program of instruction,
based on the SI model, posit ively influenced the development of
particular cognitive skills among academically gifted students in
the treatment group as measured by the SOl/LA test. Results of
38
this study objectively supported use of the 51 program of instruction
as a resource program with gifted chi ldren in the treatment population.
39
PIU)CWt FOil Ctl'TEO "''10 TALOITEO
Studlllt o.uaeterlulu
Thl fo11_l nl Iht of chaueterhtlu, whih by no _ an. a l l Indudve, upu .. nt. Erdu fOUlUS 111 ,HEed/ tallnuJ cllUdnn. Con. l de r utll fu il y thue ehe u c urhUe. t hat -.lilht bl lVilbiud by children, t hen not. t he .. of uch c~ tld In your chll reo. by ch.ckln, t he approp rht ft bou. o n t ht Iccot:lJl.ny l ns: .hn t.
ctSElAl. ,nSOSALlt y
I . hhlb l U phuur. In Inrnlnl fo r lnrnln,' . uk e: 111 enthll. lntl c about dl,co ... rl ll. 2. llud, lell outdde control . I . 110ft ulf-.t I,c l pJined , h ... con,c ~ entlo .. , WtlteL 1. H., a .. Ide r ans. o f In terllt. 4. b Vln t .. rll" ::Ie , ee'ltt t o l!o n ... t hln, . --. rtlk t;lke r . ~. II Itull y boud "'It ll r ouUne ta.h. 6. [\eMnnr"' t .. . p.t ,!! ,·ulnu In I ccoq>ltlhln" I loal <b p.,lhunt. h .. l on, l"entl Cln , pln). i. I. hl llhl)' !!l!.-D;\t IVl t ed . Ii . Hu h l ,h "ner~y lev,) <!,ollllll y t o the point of settllli I nto troU!)h). S. Loto . ",at.:nu. of tlce ..m.n InYoly,d In II t u k of I r .,t " Iuon_t I n t l u l e.
10. Hu _ ,""'ltlan! nc IttHud. ' ''' lI nti the tellan, ! Cl r t hi n , . h ,elllral),
CEMEP.AL INf[LlEcrUAI.
1. 11 . Ie rt, :lIpond, r.lltH,. t n • qLllltton-,n''''1t il t vilion . 2. te lln. ul1l,. and \11th li t tle r.pet l tlon . 1 . ShOVl .'clll In .buuet thl nUn, ( fltc ollnl u . re!atlon.hlp., o r •• n ... UUU It'd efhel.
or h., • kiln unll of hu!>O r ) . 4, k co,nlt .... 111 1111.1', Ilvl n~ u",ctvu t o o t her"l .. :H.o r a. lltzed t nfomnlon , ~ . C~:'I;:ILlnteH" dhellve1 ,. .nd flu.ntl ,. ; h ... n outl:undlnl youbular,.. b. I. 'n .", Id re.d. r who eon,tn.llt ly u~d. on . n .;!vlnc • ..J lay. 1.
SP [ CI riC ACAD[~C
1. Fl u cenlleln, t ntunt Inon. o f the four , c;ld.""l c , ubjtc t .u .. (indicae. b,. .. r kina on, of t he fo llO\l1nl: l.A ro r Lin, ... . . Artl , 11 for Kith,S for 5chn;., SS for SccJ..I1 Stu;! l lI).
l . HOI n eelv, li . p. c:hl n Colli t t lon 1n t hl ' U.I , l . H ... cqo.:! red knO\olhd,. b.~ ond th U .'M eh II IXpltcud It thh Iud. bYeI . - . II e.,u to .h.lu kllO",ltl!.e , Id ••••• nd Inll!ht. "ith oth.fI. ) , Hat tuk ::la..ltnrnt: ""nt. to ( ht.h • proJ .ct one. it 1. b.,,,".
I.
,. .. s. ,. 1.
a .
•• 10.
11.
:2.
13.
". lS .
16.
11 .
". It.
~ Q.
B .
u .
~r\.tb..u lor Moal •• ta, St .... U C;Uud/T.hat.d 'rol'_
40
n.~". ____________________ __ SCllOOL, ____________________ C ... ,, _____ _
'lat.. a check s. the col..- vttlch corr •• pond_ to the charact.rllti.c:. d._an.t.d II,. ,.e" thUd .
CLUS 1.OLl. . ".ft.r~~ ~~ ... &l "o;W<
A.I:..t,nd I , J I, S 6 1 • 910 1 , • S ~ lib . 2 1 ' 15 ''''"''''.
II I J
I I I J
J
I I I
II I
I
I
-
41
Co. e ral GenerAl SptJ!!'C ClASS lOLL Ptu onllltty 'ntclhu •• 1 C~'l'tS
1 2 ) 4 S 6 , -, 91 11 2 ) 1" ) ' 6 1 Slib . 2 ) , , n . I I ~4. I , ". , I I . 16. I II I 1.1
" I I H . , ZI. I I I :9. I II I
)0. I II I 1
I U I )). ..
! 1 I I n . 1
ll. I \I I ]4. I I I I I lI. I I 1111 I "
': ~iS r.JJJ: IS COl>rtD~'I"L. Pi .... ntufn 1t pe ... oQ,1,U, to ttl. ofUc • .
. -
Obtained and Adjusted Means
Pretest Posttest Posttest Operation Group Obtained Mean Obtained Mean Adjusted Mean
Treatment 96. 5882 117.5588 117.3977 Cogni tion Control 96. 0294 109.8529 110.0140
Treatment 48. 4118 54.1471 53.8541 Memory Control 46.8529 5.n );706 51. 2636
tVllluation Treatment 44.5294 50.5294 50.1575 Control 43.2647 45 . 7941 46. 1660
Convergent Treatment 165.3529 194.6176 186.3202
Production Contro l 146. 0589 170.0882 178.3856
Divergent Treatment 167. 5000 176.2353 173.4344
Production Control 132.7059 136.5588 139. 3597
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••