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Chapter
A Review of the Mathematical Tasks Framework and Levels of Cognitive Demand
Over the past few decades, the impact of mathematical instructional tasks on student learning has been recognized and studied. Mary Kay Stein and a group of colleagues, including Edward Silver, proposed an ana...
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Chapter
Complexity of Geometry Problems as a Function of Field-Dependency and Asymmetry of a Diagram
Solving geometry problems is challenging for students of all ages. The complexity of geometry problems is multidimensional and is linked to visualization, auxiliary constructions required for solutions, comput...
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Chapter
Taiwanese Teachers’ Collection of Geometry Tasks for Classroom Teaching: A Cognitive Complexity Perspective
This chapter reports an investigation on Taiwan middle school teachers’ collection of mathematical instructional tasks. Specifically, the analysis focuses on geometry tasks from a cognitive-complexity perspect...
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Chapter
Using Mathematics-Pedagogy Tasks to Facilitate the Professional Growth of Pre-service Elementary Teachers
We used mathematics-pedagogy tasks (MPTs) to design content and methods (pedagogy) courses to professional growth of pre-service elementary teachers, especially those who did not study in mathematics-related...
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Chapter
Facilitating Professional Growth of Taiwanese In-service Mathematics Teachers Through an Innovative School-Based Program
The chapter begins with the present challenges that mathematics educators in Taiwan are facing. It outlines the hierarchical structure of in-service teacher development and highlights how the top-down approach...