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Innovations for Teaching and Learning Mathematics in Different Cultures II (2007 Conference)

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This conference, part of the APEC Education Network (EDNET) project Classroom Innovations Through Lesson Study, was managed by the Center for Research in Mathematics Education (CRME) at Khon Kaen University (Thailand) and the Center for Research on International Cooperation in Educational Development (CRICED) at the University of Tsukuba in 2007.  It was approved in 2006 at the APEC Ministerial Meeting held in Hanoi, Viet Nam. The contributors acknowledged that mathematical thinking is the base for "science, technology, economic growth, and sustainable development in a knowledge-based society" and our global economy and thus we must explore new avenues of teaching and learning such as lesson study. To access the Conference website, click here

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Contents


The Goals and Structure of the Conference

  1. Sharing ideas and methods of mathematical thinking
  2. Develop teaching methods in mathematical thinking through lesson study within APEC member economies.


APEC economies' specialists attended four lectures discussing mathematical thinking, four Japanese classrooms conducting research lessons, and group discussions to debate the framework of mathematical thinking.

Each specialist at the conference presented his/her report and related to the following three questions through examples:

  1. How is mathematical thinking defined in your curriculum documents and your lesson?
  2. What is your key window for considering mathematical thinking?
  3. How can we develop mathematical thinking through the lesson?

The purpose of these reports was to develop ideas about teaching techniques so that teachers could utilize them and create more effective lessons.

Conference attendees met in working groups and discussed mathematical thinking. The working groups produced the following recommendations for developing teaching approaches:

  • Specify the mathematical thinking
  • Select a task for the lesson that develops the specified mathematical thinking
  • Consider teachers' activities and anticipated pupil responses
  • Identify indicators of mathematical thinking

Program

Speaker

Economy

Document

Kaye Stacey

Australia

What is Mathematical Thinking and Why is it Important?

David Tall

The United Kingdom

Encouraging Mathematical Thinking that Has Both Power and Simplicity

Fou Lai Lin

Chinese Taipei

Designing Mathematics Conjecturing Activities to Foster Thinking and Constructing Actively

Yeap Ban Har

Singapore

Developing Mathematical Thinking in Singapore Elementary Schools

Lin Chap Sam & Hwa Tee Yong

Malaysia

Promoting Mathematical Thinking in the Malaysian Classroom: Issues and Challenges

Soledad A. Ulep

Philippines

Enhancing Elementary School Mathematics Teachers' Mathematical Thinking through In-servics

Shiego Katagiri

Japan

Mathematical Thinking and How to Teach It

Peter Gould

Australia

"Developing mathematical reasoning through argumentation"

Madihah Khalid

Brunei Darussalam

"Mathematical Thinking in Brunei curriculum: implementation issues and challenges"

Marsigit, Atmini Dhouri, Sugiman & Ali Mahmudi

Indonesia

"Lesson study: promoting student thinking on the concept of least common multiple (LCM) through realistic approach in the 4th grade of primary mathematics teaching"

Masami Isoda

Japan

"Developing mathematical thinking in classroom"

Kazuyoshi Okubo

Japan

"Mathematical thinking from the perspectives of problem solving and area of learning contents"

Inchul Jung

The Republic of Korea

"Perspectives on mathematical thinking in Korea"

Maitree Inprasitha & Suladda Loipha

Thailand

"Developing student's mathematical thinking through lesson study in Thailand"

Soledad A. Ulep

The Philippines

"Developing mathematical thinking through problem-based lessons"

Patsy Wang-Iverson

The United States of America

"Developing mathematical thinking through lesson study: overcoming barriers to effective implementation"

Shangzhi Wang, Dan Zhang &Siming Zhang

The People's Republic of China

"Mathematical thinking in primary school and junior high school"

Chang-Shou Lin & Su-Chin Lin

Chinese Taipei

"Some remarks on mathematical thinking in education"

Cheng Chun Chor Litwin

Hong Kong, China

"Development of mathematical thinking in Hong Kong schools"

Tenoch Cedillo & Marcela Santillan

Mexico

"Mexican perspective on mathematical thinking"

Mag. Francisco Cerdo Bonomo

Chile

"Mathematical thinking like angular stone in the understanding of real world phenomenon"

Tran Vui

Viet Nam

"Developing mathematical reasoning through argumentation"


Lesson Study Videos

Video

Economy

Summary

"Area of the Circle"

Grade 5

Japan

This research lesson was presented at the University of Tsukuba Elementary School in Tokyo. Its purpose is to strengthen students' academic ability through relishing the joy of thinking. The teacher challenges students to use, multiple approaches to calculate, the area of a circle.

"Placing Plates"

Grade 2

Japan  

"Multiplication Algorithm"

Grade 3

Japan

This 50-minute research lesson was presented at Sapporo City Maruyama Elementary School to a class of 40 students. It is the fourth in a series of 13 lessons. The preceding lesson considered the product "20 times 3," and the students were encouraged to calculate the number of black circles in the array.

"Thinking Systematically"

Grade 6

Japan

This research lesson was presented at Sapporo City Hokuto Elementary School to a class of 27 students. It focuses on finding the value of two quantities that satisfy two conditions.


 
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