Topic Study Group 26:
Learning and cognition in mathematics: Students´ formation of mathematical conceptions, notions, strategies, and beliefs
A307 and A308 Rooms
Sections:
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.
    [email protected]
  • 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. http://www.math.ucsd.edu/~harel
    [email protected]
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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
    [email protected]
  • Despina Potari (Greece)
    University of Athens
    Research: Learning of geometry, teacher professional development,methodological models of analysing mathematics teaching.
    [email protected]
  • Mariana Saiz (Mexico)
    Universidad Pedagógica Nacional
    Carretera al Ajusco 24 Col. Héroes de Padierna. México
    Research: Primary and Secondary Teachers‚ Mathematical conceptions and knowledge.
    [email protected] [email protected]
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Proposals by
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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?
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Papers and discussion documents
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