TSG 19: Reasoning, proof and proving in
mathematics education
Team Chairs
Guershon Harel, Department of Mathematics –
0112,
Address:
harel@math.ucsd.edu
Sri Wahyuni, Department of Mathematics,
Faculty of Mathematics and Natural Science, Gadjah Mada University
Address: Sekip Utara, Yogyakarta, 555281, Indonesia
swahyuni@indosat.net.id
Team Members
Gudmundur Birgisson, Iceland University of
Education, Iceland
gudmundur@birgisson.com
Christine Knipping,
knipping@uni-hamburg.de
David A. Reid,
david.reid@acadiau.ca
Aims and Focus
We aim to provide opportunity for TSG-19
participants to share their research in reasoning and proving in mathematics
education. Our focus is on the following themes:
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An international perspective on research on
reasoning and proof, with particular emphasis on research conducted outside of
Europe and North America
§
Transition from informal argumentation to
formal proof in mathematics classrooms, including classrooms where technology
is used.*
* This does
not exclude discussions of cases where formal proofs did not arise naturally
from informal arguments.
Note: The current focus is the second theme since
all the papers that were submitted centered on the second theme.
Call for Papers
We encourage interested participants to
submit their paper in the form of a short discussion (< 2000 words).
There will be two rounds of paper submission so that papers could be realigned
to form a coherent body of work. We will post all submitted papers on
this site. In addition, we will post some guiding questions to help
authors realign their papers with other submitted papers. We will put
together a programme based on these revised papers. Significant papers
related to the above themes will be presented in one of the three 1-hour
slots. However, we couldn’t guarantee that all revised papers will be presented.
Nevertheless, the programme will be designed so that the ideas and issues
raised in the revised papers are tabled for discussion during the conference.
Practical Information
§
§
§
Please
e-mail your paper as word documents to:
1. The organizing chair Guershon Harel at harel@math.ucsd.edu
2. The organizing co-chair Sri Wahyuni at swahyuni@indosat.net.id
3.
Harel's in-house associate Kien Lim at kienlim@mail.sdsu.edu.
List of Accepted
Papers
The papers are
listed in the order in which they will be presented.
1A.
Mathematicians’
perspectives on the transition to formal proof
Presenter: Lara Alcock
1B.
A
pilot study on five mathematicians’ pedagogical views on proof (Full Paper)
Presenter: Kirsti Nordström
2A.
Proofs
as a tool to develop intuition
Presenter: Alexander Khait
2B.
Key
ideas in the context of a proof from collegiate calculus
Presenter: Manya Raman
3A.
The
role of logic in teaching proof (This article was first published by the
American Mathematical Monthly, which holds the copyright with all rights
reserved.)
Presenter: Susanna Epp
3B.
Improving
reasoning abilities of 5th-6th grade pupils using a specially designed teaching
unit in pre-formal logic
Presenters: Raisa Guberman,
Marita Barabash
4A.
Polyminos:
A way to teach the mathematical concept of implication
Presenter: Virginie
Deloustal-Jorrand
4B.
The
nature of students’ rule of inference in proving: The case of reflective
symmetry
Presenter: Takeshi Miyakawa
Updated Information
Authors need not resubmit their papers in
response to guiding questions as initially announced. Instead, the authors are encouraged to communicate
with each other about the research reported in their papers. Please include other
authors, team chairs, and team members in your correspondence.
TSG-19 will meet four times, three 1-hour
and one 90-minute sessions. Two papers
will be presented on each session. On
the final session the discussant, Gudmundur Birgisson, will speak for 15 minutes,
followed by a 15 minutes of general discussion among all participants.
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July
6 (Tues) |
July
7 (Wed) |
July
9 (Fri) |
July
10 (Sat) |
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1A L. Alcock |
2A A. Khait |
3A |
4A V. Deloustal-Jorrand |
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Question & Answer |
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1B K. Nordström |
2B M. Raman |
3B R. Guberman and M. Barash |
4B T. Miyakawa |
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Question & Answer |
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Discussant |
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Discussion |