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ESM733 - Exploring Space and Number

Note: You are seeing the 2012 view of this unit information. These details may no longer be current. [Go to the current version]
Offering information:

Offered in alternate years 2013, 2015

Offered at:(X)
Credit point(s):1
Offerings: Trimester 2
Unit chair:S Groves
Incompatible with: ESM433, SIT197, SIT198

Content

This unit explores two fundamental areas of mathematics, space and number, and provides participants with ideas for teaching that exploit this knowledge. Topics covered include: the natural, rational and real numbers; the role of written, mental and calculator computation; using mental computation as a vehicle for enhancing number sense and developing explanation skills; the potential of the calculator to foster children's exploration of number; using geometry in art and design, including paper engineering and the work of M. C. Escher, as a vehicle for meaningfully engaging students from prep to year 10 with the space content of the curriculum. Participants will be expected to reflect on issues related to pedagogical approaches that enhance students' construction of their knowledge and understanding of mathematical concepts.

Assessment

Portfolio of tasks related to natural numbers, computational techniques and number sense, and patterns in the plane (1200 words equivalent) (20%); essay on the role of mental, calculator and pencil-and-paper methods of computation (1200 words) (20%); portfolio of tasks related to regular and semi-regular solids, paper engineering, and rational and irrational numbers; (1200 words equivalent) (20%); two reports on the development and teaching of classroom sessions on number and space (1200 words each) (20% each).

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8th June 2007