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Secondary mathematics: different representations

Teacher guide Secondary mathematics: different representations

TLF ID S4971

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations of the same mathematics to help students to 'see' that mathematics in different ways, and to make connections between those representations to deepen their understanding of mathematics concepts, processes and language.

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Educational details

Educational value
  • These are valuable resources for teachers of mathematics in years 7-10 who are looking for teaching and learning activities that are pedagogically sound, that address the Australian Curriculum in mathematics, and that use tools (software) and devices (hardware).
  • Each learning activity has been written to explicitly support specific strands and descriptors within the Australian Curriculum in mathematics. In most cases, an activity will cover a number of descriptors. This has value in that the educational content of the activities is current and relevant to the needs of Australian teachers and students.
  • These are useful learning activities in that they cater for a broad range of abilities. A number of the activities are short and focused, using few resources and tools. These tend to be more teacher-centred and allow for greater teacher guidance of student learning. Other activities include more student-centred learning and incorporate a more diverse set of tools. Less experienced teachers undertaking these activities might benefit from a team-teaching approach.
  • The learning and teaching of the mathematics content is supported by a focus on sound pedagogies and descriptions of the effective use of technological devices. The selection of the tools and devices reflects considerations such as accessibility and ease of implementation as well as their relevance to the content knowledge.
Year level

6; 7; 8; 9; 10

Topics Data representation Functions and relations Cartesian planes Critical thinking Parabolas Prisms Inequations Linear equations Exponential functions Transformation (Geometry) Gradients Teacher professional learning Parallel lines Perpendicular lines Cartesian coordinates Quadratics Rates (Ratios) Direct proportions Midpoints
Learning area
  • Mathematics

Other details

Contributors
  • Contributor
  • Name: Education Services Australia
  • Organization: Education Services Australia
  • Description: Data manager
  • Copyright Holder
  • Name: Commonwealth of Australia
  • Organization: Commonwealth of Australia
  • Address: ACT, AUSTRALIA
  • URL: http://www.deewr.gov.au/
  • Publisher
  • Name: Education Services Australia Limited
  • Organization: Education Services Australia Limited
  • Description: Publisher
  • Address: VIC, AUSTRALIA
  • URL: http://www.esa.edu.au/
  • Resource metadata contributed by
  • Name: Education Services Australia Ltd
  • Organisation: Education Services Australia Ltd
  • Address: AUSTRALIA
  • URL: www.esa.edu.au
Access profile
  • Generic
Learning Resource Type
  • Online
  • Interactive
Rights
  • © 2012 Commonwealth of Australia (except where otherwise indicated). With the exception of certain copyright material that is owned by third parties, and subject to any contrary statement on the relevant material, you may use this material in accordance with a Creative Commons Attribution 2.0 licence http://creativecommons.org/licenses/by/2.0/