Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties developing it in the classrooms.This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.
Hatsumon is a Japanese word for "posing a problem”. Teachers know that the way in which the problem is posed influences students' learning significantly. A teachers' considered hatsumon will orient a students' thinking so that the answer and learning appears to the student to be from within ̶ a discovery ̶ as compared to a more occidental approach of a step-by-step recipe intended to funnel the student toward a solution that becomes understanding after practice. The authors here offer a two-part work composed of first a largely high level view of this approach that is buttressed with a final part of low-level, detailed classroom examples.