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The Importance Of Fractional Thinking As A Bridge To Algebraic Reasoning, Catherine Pearn, Max Stephens
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.
Mathematics Recovery : Frameworks To Assist Students' Construction Of Arithmetical Knowledge, Catherine Pearn
Mathematics Recovery : Frameworks To Assist Students' Construction Of Arithmetical Knowledge, Catherine Pearn
Catherine Pearn
Mathematics Recovery was the outcome of a three-year research and development project at Southern Cross University, conducted in 1992-5. The project received major funding from the Australian Research Council and major contributions in the form of teacher time, from regional government and Catholic school systems. Over the 3-year period, the project involved working in 18 schools with 20 teachers and approximately 200 participating first-grade students. MR can be regarded as consisting of two distinct but interrelated components. One component concerns an elaborated body of theory and practice for working with students, that is, teaching early number knowledge. The second component …
Mathematics Intervention, Marguerite Merrifield, Catherine Pearn
Mathematics Intervention, Marguerite Merrifield, Catherine Pearn
Catherine Pearn
A Mathematics Intervention program has been established at Boroondara Park Primary School for children 'at risk' of not succeeding with Grade 1 mathematics. The program is based on current research that shows that children become numerate by progressing through five counting stages. The development and results of clinical interviews used for testing will be discussed along with strategies that have been used to assist children overcome common difficulties identified by the testing. The importance for classroom teachers to be able to identify each child's strategies and thus their counting stage will be stressed as a starting point for numeracy teaching …