Although positive effects of lesson study on teachers learning are reported, only some studies have investigated teacher noticing as an analytical tool for supporting teachers with an explicit focus, as in LS, and more empirical evidence is needed. This qualitative interpretive case study design aims to investigate the noticing processes of a…

The grounding of cognition in embodied actions has resulted in both theoretical formulations of encoding of information and instructional applications of these encodings. Actions on objects typically occur within matched formats: physical actions on physical objects, virtual actions on virtual objects, or mental actions on mental objects. Instead,…

This article discusses the rationale for the classroom use of manipulative materials. Selection criteria are presented for the guidance of teachers, together with advice on how and how not to use the materials. (MM)

Detailed instructions are given for the construction of a line segment of length cube root of two. A proof is also given. (MP)

The author strongly questions the arbitrary and random usage of diverse experiences, labs, games and activities in the mathematics classroom. He urges that teachers not substitute these activities for carefully planned, sequential mathematics instruction. (CT)