This paper is based on data gathered during visits to Uganda and Malawi, conducted by the International Math-teacher Professionalization Using Lesson Study (IMPULS) project and the Japanese International Cooperation Agency (JICA). The author's observations and experiences highlighted misconceptions about lesson study. The paper concludes that some…

There is no doubt that a lesson plan is a necessary product of Lesson Study. However, the collaborative work among teachers that goes into creating that lesson plan is largely under-appreciated by non-Japanese adopters of Lesson Study, possibly because the effort involved is invisible to outsiders, with our attention going to its most visible…

Algebraic structures are a necessary aspect of algebraic thinking for K-12 students and teachers. An approach for introducing the algebraic structure of groups and fields through the arithmetic properties required for solving simple equations is summarized; the collective (not individual) importance of these axioms as a foundation for algebraic…

Change is hard work, even when we are convinced it is worth the effort. Teachers are expected to change without clear explanations or evidence of how the changes will benefit them or their students. Meaningful change is most likely to occur when teachers' beliefs, feelings, and personality are taken into consideration. This book applies the latest…

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. NCTM's Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a teacher's career. The accompanying professional…

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. The National Council of Teachers of Mathematics' (NCTM's) Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a…