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Changing Students’ Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos Mo Pak University of Texas at El Paso (UTEP) Department of Mathematical Sciences **MSP/NSF Sponsored

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A Pre-service Teacher’s Perception of Mathematics at the beginning of semester

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Page 1: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Changing Students’ Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics

Melinda RamosMo Pak

University of Texas at El Paso (UTEP)Department of Mathematical Sciences

**MSP/NSF Sponsored

Page 2: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Topics of Discussion

A pedagogical approach, An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics.

Preliminary results of a qualitative study: Documenting changes on students’ perception of mathematics due to the approach

Page 3: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

A Pre-service Teacher’s Perception of Mathematics at the beginning of semester

Page 4: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

A Pre-service Teacher’s Perception of Mathematics at the beginning of semester

“ math is a fear I have not been able to conquer; the fear of math has put a block on my brain; I don’t like math because I feel very dumb when after so many years I still don't comprehend it.”

Page 5: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Repeated academic failures frequently result in low self-esteem and passivity in mathematical learning (Cherkes-Julkowski, 1985), and result in confused thinking, disorganization, avoidance behavior, and math phobia (Conte, 1991; Zentall&Zentall, 1983).

Negativity towards math seems to determine pre-service teachers’ area of specialization. About 90% of our pre-service teachers choose to specialize in areas other than math.

These unhealthy beliefs suggest and imply study habits, test-taking strategies, and classroom behaviors that are very often ways of avoiding the demands of classroom mathematics (Cobb, 1986).

Consequences of Non-Constructive Beliefs in Math

Page 6: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Goal

To enhance preservice teachers’ mathematical knowledge by making positive changes on students’ attitude towards and perception of mathematics. Increase confidence in ability to do

mathematics. Motivate to learn and think mathematically.

Page 7: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

How Provide opportunities for preservice teachers to

experience importance of mathematics. Increase support preservice teachers receive from faculty, peers and their mentor

teachers (in-service teachers). Introduce constructivist teaching practices. Develop higher order thinking skills. Eliminate redundancy on course load. Model collaboration between faculty. Model integration of content.

Page 8: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Block vs. Non-block Block:

--consist of three courses: two courses are education courses 1) pedagogy of teaching & learning 2) methodology of mathematics educationthird course 3) mathematics content course

--pre-service teachers are asked to take the courses in a cohort setting within the same block

Page 9: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics

Page 10: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

State certification exam scores.

Post-Scores for pretestB students

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

1 2 3 4 5 6 7 8 9 10 11 12 13 14scores (ranging 68 to 94)

perc

enta

ges

Pilotintegratedmodelfall2001

controlgroupfall2001

Page 11: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

TEXES comp scores

0

2

4

6

8

10

12

14

16

18

60 70 80 90 100

scores <

Freq

uenc

y

f2001s2002

Page 12: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Differences from pre to post survey – block vs. non-block

-0.5

-0.1

-0.3

0.2

-0.1

0.1

-0.6

0.1

-0.7

-1.4

0.1

-0.1

-0.7

0.2

-0.3

-0.1

0.1

-0.1

0

-0.1-0.2

0.0

-0.3

-1.1

0.6

0.2

-0.5

0.1

-1.5

-1.0

-0.5

0.0

0.5

1.0

Com

puta

tiona

l Asp

ects

(Arit

hmet

ic)

App

licat

iona

l Asp

ects

Sig

ns &

Sym

bols

(Alg

ebra

ic A

spec

ts)

Pat

tern

s

Logi

cal

Geo

met

rical

Pro

blem

Sol

ving

Con

fiden

ce (p

ositi

ve)

Con

fiden

ce (n

egat

ive)

Con

fiden

ce (T

each

ing

-po

sitiv

e)

Con

fiden

ce (T

each

ing

-N

egat

ive)

Lear

ning

Sty

le (N

on-

tradi

tiona

l)

Lear

ning

Sty

le(T

radi

tiona

l)

Em

otio

n to

war

ds m

ath

(Pos

itive

)

Block Non-block

Page 13: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Pre-service teacher’s end of semester comment on what is math

“math is a way of expressing, explaining, & expanding your knowledge; by doing math, you can express how you feel, for example, if you don't understand, you may feel frustrated. math is a way of explaining because once you have an answer, you can explain why you came up w/that result; math expands your knowledge because understanding math can help you become a better critical thinker.”

Page 14: Changing Students Perception of Mathematics through An Integrated, Collaborative, Field-Based Approach To Teaching and Learning Mathematics Melinda Ramos

Questions and Comments?