Studies in Algebraic Thinking No 2 Sums to One: A Study in Generalisation and in the Use of Fundamental Constructs from Mathematics Education (original) (raw)

AI-generated Abstract

This study explores the evolution of a mathematical task designed to illustrate the principles of generalization and the pedagogical constructs that enhance mathematical thinking. Through a series of task variations, it highlights the importance of active learning and encourages students to engage in conjecturing and structuring their mathematical understanding. The work draws on foundational theories in mathematics education, demonstrating how tasks can serve both exploratory and pedagogical functions.

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