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Teaching Algebra Conceptually in Years 9 and 10

Introduction Many students struggle with introductory algebra and teachers have little to guide them to assist their students learn this important component of mathematics. The project on teaching algebra conceptually (TAC) was designed to explore and create teaching approaches to assist students in Years 9 and 10 to develop a conceptual understanding of algebra. The effect of these teaching approaches was documented by use of a diagnostic tool that assessed and made students’ knowledge and strategic thinking in algebra explicit. Key findings Achievement in algebra can be enhanced by taking a structural perspective that provides high quality diagnostic assessment information to teachers. Effective teaching approaches that have an effect on student

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Early algebraic thinking: links to numeracy

1. Introduction Many students struggle with introductory algebra and teachers have little to guide them in assisting students to learn this important component of high school mathematics. Little is known about the effect of students’ numeracy on the learning of early algebra, or about the strategies that students use to solve equations. There is widespread agreement that algebra is not easily understood by many students. The Cockcroft Report in the United Kingdom highlighted the fact that algebra is a source of considerable confusion and negative attitudes among pupils (Cockcroft, 1982), while the title of Brekke’s (2001) paper, “School Algebra: Primarily Manipulations of Empty Symbols on a Piece of Paper?”, sums up

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