This paper deals with the nature of teaching mathematical thinking and presents a case
study of a single Japanese lesson where the characteristics of mathematical thinking and …

As a young student, I have experienced mathematics classrooms at the elementary and
secondary school level and at the university level in Argentina. After that, I have experienced …

In my presentation at the Tokyo 2006 APEC symposium I demonstrated that mathematical
thinking is important in three ways.• Mathematical thinking is an important goal of schooling.• …

Mathematics education community in Japan has continuously and extensively developed
'mathematical thinking'as an educational value. In this paper, the historical review was …

This paper and the accompanying presentation has a simple message, that mathematical
thinking is important in three ways.• Mathematical thinking is an important goal of schooling.• …

The introductory Chapter 1 explains the pedagogical approach, which is referred to as
''Problem Solving Approach''. The approach is presented in five phases: Posing the Problem …

Contributing to a scientific field is not always a scenic route. One cannot always act in the
world according to the posted signs others have thought constituted relevant information. In …

This paper investigates how Japanese mathematics teachers produce and share didactic
knowledge together. It is a case study of a post-lesson reflection meeting socalled open …

A review of literature shows that during the history of mathematics education at school the
answer of what counts as 'real mathematics' varies. An argument will be given here that …

In Chap. 2, we posed questions about the differences in several national curricula, and
some of them were related to the definition of multiplication. In Chap. 3, several problematics …