Topic Study Group 31 (TSG 31) for ICME-12
Tasks Design and Analysis
The TSG 31 organizing committee is co-chaired by Team chairs: Xuhua Sun (China) and
Lalina Coulange (France) with team members: Eddie Chi-keung Leung (Hong Kong)
ckleung@ied.edu.hk, Nguyen Chi Tanh (Vietnam) thanhnc70@yahoo.com, Hea-Jin Lee
(Korea) lee.1129@osu.edu, along with IPC Liaison Masataka Koyama.
The organizing committee assembled the accepted papers for TSG 31 into four groups for
summary, presentation, and discussion:
Group A: Dynamic Geometry Environments and the Role of Representations
Group B: Categorizations of Tasks and Textbooks
Group C: Tasks Enacted by the Teacher and Students
Group D: Discoveries and Justifications
The following timetable for TSG 31 provides details on the schedule.
Timetable
Tuesday, 10th July
Session 1
10:30 – 12:00
Group A : Dynamic Geometry Environments and the Role of Representations
10:30 – 10:50
10:50 – 11:15
Opening remarks: Sun Xuhua susanna and Lalina
Coulange(20 min.)
Task Design and Analysis using the Measure-Trace-Algebratize
Approach (25 min.)
Mickael Edwards
11:15 – 11:40
20 minutes talk with 5 minutes discussion
Task design and analysis of on-to semiotic approach (25 min.)
Teresa B. Neto
11:40 – 12:00
20 minutes talk with 5 minutes discussion
Round-table discussion with the whole group on the 2 contributions
(20 min.)
Main discussant speakers: Eddie Chi-keung Leung, Hee-Jin
Lee, Sun Xuhua
Wednesday, 11th July
Session 2
10:30 – 12:00
Group B: Categorizations of Tasks and Textbooks
10:30 – 10:55
10:55 – 11:20
11:20 – 11:45
11:45 – 12:00
Eight target structure types of Tasks as background for learning
surroundings (25 min.)
Regina Bruder
An analysis of the mathematical tasks in the Korean 7th grade
mathematics textbooks and workbook (25 min.) Hyungmi Cho,
Jaehoon Jung, Ami Kim and Oh Nam Kwon
20 minutes talk with 5 minutes discussion
The Changes of Task Design for Development“ Two-Bases ”in
China after Ten-year Curriculum Reform (25 min.)
Lianzhong Fan, Jiali Yan, Xuhua sun
Round-table discussion with the whole group on the 3 contributions
(15 min.)
Main discussant speakers: Hee-Jin Lee, Nguyen Chi Tanh, Lalina
Coulange
Friday, 13th July
Session 3
11:00 – 12:30
Group C: Tasks Enacted by the Teacher and Students
11:00 – 11:25
11:25 – 11:50
11:50 – 12:15
12:15 – 12:30
On the Nature of Mathematical Tasks in the Sequence of Lessons
(25 min.)
Rina Namiki and Yoshinori Shimizu
20 minutes talk with 5 minutes discussion
Analysing tasks to describe teachers’ practices and link them to
pupils’ learning in mathematics (25 min.)
Julie Horoks
20 minutes talk with 5 minutes discussion
Multiple informal classifications of geometrical objects as an
ongoing process of developing young students' geometric insight (25
min.)
Marita Barabash, Raisa Guberman
20 minutes talk with 5 minutes discussion
Round-table discussion with the whole group on the 3 contributions
(15 min.)
Main discussant speakers: Eddie Chi-keung Leung, Nguyen Chi
Tanh, Lalina Coulange
Saturday, 14th July
Session 4
10:30 – 12:00
Group D: Discoveries and Justifications
10:30 – 10:55
10:55 -11:20
11:20 – 11:35
11:35 – 12:00
Forming concepts through discoveries and justifications (25 min.)
Michael Meyer
20 minutes talk with 5 minutes discussion
In search for a specific algebraic task design or how to elaborate a
situation highlighting algebraic techniques in second grade (25 min.)
Celine Constantin, Lalina Coulange
20 minutes talk with 5 minutes discussion
Round-table discussions of the session papers (15 min.)
Main discussant speakers: Eddie Chi-keung Leung, Nguyen Chi
Tanh, Hee-Jin Lee
Closing remarks: Whole group discussion on the work of the group
and conclusion (25 min.)
Sun Xuhua, Lalina Coulange
PAPER LIST:
Analysing Tasks to Describe Teachers' Practices and Link Them to Pupils' Learning in
Mathematics
julie Horoks, UPEC, France
julie.horoks@u-pec.fr
An Analysis of the Mathematical Tasks in the Korean 7th Grade Mathematics
Textbooks and Workbook
Hyungmi Cho, Seoul National University, Korea
earthan1@snu.ac.kr
Jaehoon Jung, Seoul National University, Korea
jungjh@snu.ac.kr
Ami Kim, Seoul National University, Korea
ami7@snu.ac.kr
Oh Nam Kwon, Seoul National University, Korea
onkwon@snu.ac.kr
Design and Analysis of Mathematical Tasks Using the Onto-Semiotic Approach
Teresa B. Neto, Department of Education, Portugal
teresaneto@ua.pt
Xuhua Sun, University of Macau, China
sunxuhua@gmail.com
Eight Target Structure Types of Tasks as Background for Learning Surroundings
Regina Bruder, University of Technology Darmstadt, Germany
bruder@mathematik.tu-darmstadt.de
Forming Concepts through Discoveries and Justifications
Michael Meyer, Seminar für Mathematik und ihre Didaktik, Germany
michael.meyer@uni-koeln.de
In Search for a Specific Algebraic Task Design or How to Elaborate a Situation
Highlighting Algebraic Techniques in Second Grade
Celine Constantin, Aix-Marseille Universite, France
celine.constantin@ac-montpellier.fr
Lalina Coulange, Universite de Bordeaux, France
lalina.coulange@gmail.com
Multiple Informal Classifications of Geometrical Objects as an Ongoing Process of
Developing Young Students' Geometric Insight
Raisa Guberman, Achva Academic College of Education, Israel
glebov@macam.ac.il
Task Design and Analysis using the Measure-Trace-Algebratize Approach
Michael Edwards, Miami University, United States
m.todd.edwards@gmail.com
The Changes of Task Design for Development “Two-Bases” in China after Ten-year
Curriculum Reform
Liangzhong Fan, North-east Normal University, China
fanlianzhong@126.com
Jiali Yan, Faculty of education, China
yanjiali86@126.com
Xuhua Sun, University of Macau, China
xhsun@umac.mo
The Cognitive Demand of Mathematical Tasks on Functions in the Middle Grades of
Korean Textbooks
Changjoon Hong, Sogang University, Korea
elegantnumber@gmail.com
Gooyeon Kim, Sogang University, Korea
gokim@sogang.ac.kr
The Nature of Mathematical Tasks in the Sequence of Lessons
Yoshinori Shimizu, University of Tsukuba, Japan
yshimizu@human.tsukuba.ac.jp
Rina Namiki, University of Tsukuba, Japan
s1020062@u.tsukuba.ac.jp