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Catherine Pearn

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The Importance Of Fractional Thinking As A Bridge To Algebraic Reasoning, Catherine Pearn, Max Stephens Jun 2015

The Importance Of Fractional Thinking As A Bridge To Algebraic Reasoning, Catherine Pearn, Max Stephens

Catherine Pearn

This presentation will discuss how Year 6 primary school students create algebraic meaning and syntax through their solutions of standard fraction problems. Sample solutions will show how students use best available symbols to move beyond arithmetic calculation and to create innovative chains of algebraic reasoning. Several efficient and successful multiplicative methods are used to achieve this goal—in contrast to less efficient methods, usually additive, which may work only with simple fractions. Teachers need to recognise the underlying algebraic meaning emerging from students solutions and help all students use more efficient strategies and build their own bridges to algebra.


Creative Activities In Mathematics : Problem-Based Maths Investigations For Lower And Middle Primary : Book 1., Derek Holton, Catherine Pearn Dec 2014

Creative Activities In Mathematics : Problem-Based Maths Investigations For Lower And Middle Primary : Book 1., Derek Holton, Catherine Pearn

Catherine Pearn

Problem-based learning is a powerful alternative to drill-and practice or skills-based learning, especially within maths, but it can be difficult to source rich materials that engage an entire class. The Creative Activities in Mathematics series provides a wealth of investigations and open-ended active learning activities, designed to engage students with mathematics and develop their problem-solving, collaboration and mathematical skills. Book One provides 12 different class activities suitable for students in lower and middle primary school (Foundation to Year 4), along with teaching notes and staged lesson plans. Each activity is a whole-class investigation with open-ended answers that takes a particular …