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Topic Study Group 26:

Learning and cognition in mathematics: Students´ formation of mathematical conceptions, notions, strategies, and beliefs


A307 and A308 Rooms

Sections:

Organizing team composition

Proposals by

Program

Papers and discussion documents


Team chairs:

Gaye Williams (Australia)

Deakin University

Burwood Campus, 221 Burwood Hwy, Burwood, Victoria, Australia 3125.

Research: Creative thought processes, spontaneously developing mathematical insight (novel mathematical structures), and personal characteristics, social elements, and affective factors associated with these processes. 

gaye.williams@deakin.edu.au

Guershon Harel (USA)

University of California, San Diego

9500 Gilman Drive, La Jolla, California 92093-0112 USA

Research: Cognition and epistemology of mathematics and their applications in mathematics curricula and teacher education. www.math.ucsd.edu/~harel 

harel@math.ucsd.edu

Team members:

JeongSuk Pang (Korea)

Korea National University of Education

Darak-ri, Gangnae-myeon, Cheongwon-gun, Chungbuk 363-791, Korea

Research: Sociomathematical processes in students' learning, mathematics classroom microculture, students' understanding and misunderstanding of mathematical constructs

jeongsuk@knue.ac.kr

Despina Potari (Greece)

University of Athens

Research: Learning of geometry, teacher professional development,methodological models of analysing mathematics teaching.

potari@upatras.gr

Mariana Saiz (Mexico)

Universidad Pedagógica Nacional

Carretera al Ajusco 24 Col. Héroes de Padierna. México 

Research: Primary and Secondary Teachers‚ Mathematical conceptions and knowledge.

msaiz@upn.mx saizmar@yahoo.com

Proposals by

- Mirela Rigo mrigo@cinvestav.mx

- Therese Dooley Therese.Dooley@spd.dcu.ie

- Samuele Antonini samuele.antonini@unipv.it

- Marita Barabash maritab@013.net

- Matsuo Nanae matsuo@faculty.chiba-u.jp

- Silfverberg Harry harry.silfverberg@uta.fi

Program

Monday 13:00-14:00

Introduction and Overview

13:00-13:10 (10 Mins)

Gabriele Kaiser, Bjoern Schwarz, 13:10-13:40 (30 Mins)

“Beliefs and Professional Knowledge of Future Teachers – Qualitative Studies on Influences and Relations” (Gabriele Kaiser & Björn Schwarz)

JeongSuk Pang 13:40-13:52 (12 Mins)

“Prospective elementary teachers’ beliefs and knowledge: Division of fractions”

Reflecting 13:52-14:00:(8 Mins)

Including any papers on site linking to the day’s sessions 

Wednesday 12:00-13:30

Anna Sfard, Dani Ben-Zvi, 12:00-12:30 (30 Mins)

Topic associated with “The Learners’ Autonomy”

Gaye Williams 12:30-12:42 (12 Mins) “Optimism-building to increase problem solving capacity”

Thérèse Dooley 12:42-12:50 

(8 minutes) “How a performance glitch led to mathematical insight in a primary class

Reflecting and Connecting: 12:50-13:00 (10 Mins) Including today’s sessions, any papers from previous days linking to this, and papers on site linking to the day’s sessions.

Matuso Nanae & Harry Silfverberg 13:00-13:10 (10 minutes) “Similarities and differences between Japanese and Finnish 6th and 8th Graders’ ways to interpret and apply the definitions of geometric concepts”

Reflecting 13:10-13:20: (10 Mins)

Including papers on site linking to sessions

Preliminary Thoughts About Ways to Use Knowledge Gained 13:20-13:30: (10 Mins)

Friday 12:30-13:30

Masami Isoda 12:30-13:00 

(30 Mins) “Getting others’ perspectives through Hermeneutic Effort: A theory of understanding for planning the problem solving teaching approach.”

Despina Potari 13:00-13:12 

(12 Mins) “Prospective Primary Teachers’ Conceptions of Axial Symmetry”

Irene Biza, 13:12-13:20 (8 mins) “Models of students’ conceptions about tangent lines”

Reflecting:13:20-13:30 (10 minutes). 

Saturday 12:00-13:30

Dick Lesh 12:00-12:30 (30 Mins)

“Models & Modeling Perspectives on the Nature of Mathematical Knowledge”

Guershon Harel 12:30-12:42 (12 Mins) “Constituent Elements of Mathematical Knowledge”

Samuele Antonini 12:42-12:50 (8 minutes) “Student use of Reductio Ad Adsurdum”*

Reflecting 12:50-13:00 (10 minutes)

Plenary 13:00-13:30 (30 mins)

Developing and overview. Where to from here?

Top of page

Papers and discussion documents

Call For Papers (32.00 KB)

2 Rina Hershkowitz: Abstract (21.00 KB)

3 Terry Wood: Abstract (22.00 KB)

4 Anna Sfard: Abstract (36.00 KB)

5 Richard Lesh: Abstract (40.00 KB)

Numbering Key and Program Overview (23.00 KB)

Despina Portari P Abstract (20.00 KB)

Gaye Williams P Abstract (40.00 KB)

Guershon Harel P Abstract (52.00 KB)

JeongSuk Pang P Abstract (46.00 KB)

Information on Online Discussion (30.00 KB)

Panel_PangJ_Prospective Elementary Teachers’ Beliefs And Knowledge: Division Of Fractions (70.00 KB)

ECR_DooleyT_How A ‘performance glitch’ led to mathematical insight in a primary class (84.00 KB)

ECR_AntoniniS_STUDENTS’ USE OF REDUCTIO AD ABSURDUM (91.00 KB)

ECR_BarabashM_Characterization Of Mathematical-Cognitive Development Using Two Dimensional Model Of Insight (373.00 KB)

CFP_Mevarech & Armani_The Effects of Metacognitive Instruction on Students’ Mathematics Achievement and Regulation of Cognition (42.00 KB)

CFP_Ulep_Student Learning in Mathematical Interactions (83.00 KB)

CFP_Hagen_Raising Levels of Student Engagement through Imaginative Education – The Student Perspective (49.00 KB)

Welcome to TSG26 Online Discussion (2.00 KB)

CFP_Matsuo & Silfverberg_SIMILARITIES AND DIFFERENCES BETWEEN JAPANESE AND FINNISH 6TH AND 8TH GRADERS’ WAYS TO INTERPRET AND APPLY THE DEFINITIONS OF GEOMETRIC CONCEPTS (93.00 KB)

1 Gabriele Kaiser Abstract (20.00 KB)

Discussion Almost Starting (39.00 KB)

TonyGardiner_Uk_220208_RequestInfoGayePaper (26.00 KB)

TonyGardiner220208_Optimism (1.00 KB)

GayeResponseTonyGardiner_Optimism (4.00 KB)

ECR_BizaI_Models of Students' Conceptions About the Tangent Line (96.00 KB)

CFP_White&Mitchelmore_Teaching for Abstraction: Then and Now (74.00 KB)

Discussion:PaulWhite140408 (4.00 KB)

Discussion:Dick Lesh_Response To Paul White 1404 (8.00 KB)

Changes to Expert Team Composition (25.00 KB)

ECR_RigoM_Students’ beliefs within the context of elementary school mathematics classes (80.00 KB)

6. Masami Isoda: Getting Others' Perspectives Through Hermeneutic Effort (279.00 KB)

Program Final as at 5th July 2008 (75.00 KB)

Discussion_GayeWilliams_usage_of_'Insight' (50.00 KB)

Discussion_PamelaHagen_Usage_of_'Engagement' (39.00 KB)

Panel_WilliamsG_Links Between Optimism-Building and Problem Solving Capacity (68.00 KB)

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