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Mathematics

Lorraine Day

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From Arrays To Algebra, Lorraine Day May 2016

From Arrays To Algebra, Lorraine Day

Lorraine Day

By identifying the learning experiences that need to be developed in the primary school, and how secondary teachers can build on these experiences, ensures solid algebraic understanding and a smooth transition between primary and secondary mathematics. Using concrete materials, within a concrete-representational-abstract pedagogical approach, may be seen as one among many methods that contribute to the overall process of developing algebraic skills. Linking an area-based model to previous understandings involving numbers should assist the conceptual understanding of algebraic expansion and factorisation to ensure that students are not just fluent in algebraic manipulation but also understand how the processes work.


Australian Curriculum Linked Lessons: Reasoning In Number And Algebra, Lorraine Day May 2016

Australian Curriculum Linked Lessons: Reasoning In Number And Algebra, Lorraine Day

Lorraine Day

In the Australian Curriculum: Mathematics "Number and Algebra are developed together as each enriches the study of the other". The content strands indicate what students should be learning and the proficiency strands indicate the types of learning experiences students should be exposed to in order to learn the content. Most of the content descriptors in Years F-6 algebra refer to a progression of patterning and finding unknowns in number sentences. We could see from this that there are two major themes running through the curriculum; that of patterns and relationships, and that of equations and expressions. These two aspects of …


An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell May 2016

An Explanation For The Use Of Arrays To Promote The Understanding Of Mental Strategies For Multiplication, Lorraine Day, Derek Hurrell

Lorraine Day

This article provides a convincing argument for using arrays to promote students’ understandings of mental computation strategies for multiplication. Also a range of different examples that illustrate the benefits of arrays in the primary classroom are provided.