Why reteaching the lesson is not part of CLR

In The Teaching Gap, which first brought Lesson Study to the attention of many educators outside Japan, Stigler and Hiebert include revising and reteaching the research lesson as steps 5 and 6 of Lesson Study. When Takahashi and I proposed Collaborative Lesson...

Representing vs. solving; and missing-addend problems

I have seen many lessons in which the distinction between how to model or represent a story problem and how to solve the story problem get confused. This happens especially with story problems in which either the starting value or the change is unknown, a type of...

Letting students in on the secret in a TTP lesson

The core of a Teaching Through Problem-solving (TTP) lesson involves presenting students with a problem that requires that they learn some new mathematics. For students to focus their energy productively, it helps them to know what that new mathematics is – at least...

Great article on division with remainders

One of Chicago’s Lesson Study Leaders, Joshua Lerner, wrote a terrific article in NCTM’s journal Mathematics Teacher: Learning and Teaching in PK-12. It is titled, “Recommendations for Teaching Division with Remainders.” From the introduction:...