This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan.
TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country.
Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.
The Japanese approach to developing math education through lesson study over the past five decades has yielded solid, coherent lessons and units of study. Even more than that is how to Teach Through Problems, TTP.
The main skill of a teacher is to lead class discussions skillfully. After carefully posting one problem, each student works on it individually as the teacher walks around the room taking notes. Next, a group discussion follows where the teacher chooses people to speak to allows all diverse approaches to be voiced and considered. This isn't group work - like Americans advocate.
Japan-Math (not affiliated with the professor from DePaul, but I assume he consults) offers the most tested and proved way to teach math. It has tried hard to meet Common Core Math, but CCM has some bureaucratic tricks that probably preclude it. Our loss.