Abstract

This study aims to investigate the learning opportunities for students provided by middle-school mathematics textbooks. Apropos this, we identified learning opportunities as constructs consisting of levels of cognitive demand, types of contexts, types of student response, and big ideas of functions. We analyzed mathematical tasks in “Function” chapters or units from three Korean textbooks and Connected Mathematics_3[CMP3]. The analysis suggests the following: a) Korean textbooks provide students with learning opportunities that emphasize representing functions as tables, graphs, and equations, and finding answers to tasks; b) the tasks in Korean textbooks present big ideas of functions as fragmented or isolated procedures; c) tasks in the function unit in Korean textbooks provide little support for students to develop mathematical competencies; and d) tasks in CMP3 provide learning opportunities for students to understand functions conceptually and achieve learning goals that are established in detail.

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