This research investigated how teachers express links between ideas in speech, gestures, and other modalities in middle school mathematics instruction. We videotaped 18 lessons (3 from each of 6 teachers), and within each, we identified "linking episodes"--segments of discourse in which the teacher connected mathematical ideas. For each…

This study examined how 4 middle school textbook series (2 skills-based, 2 Standards-based) present equal signs. Equal signs were often presented in standard operations equals answer contexts (e.g., 3 + 4 = 7) and were rarely presented in nonstandard operations on both sides contexts (e.g., 3 + 4 = 5 + 2). They were, however, presented in other…

This study compared flow of information and peer- and teacher-directed scaffolding evident in whole class discussions during Years 1 and 2 of a middle school mathematics teacher's efforts to change classroom practices. Results showed that in Year 2, the teacher removed herself as the analytic center to invite greater student participation.…