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Exploring Concepts in Algebraic Patterning

Exploring Concepts in Algebraic Patterning. Workshop presented at National Numeracy Facilitators Conference February 2008 Teresa Maguire and Jonathan Fisher. Outline. Supporting teachers with the ARBs (10 min) Patterns (35 min) Basic facts (35 min) Discussion (10 min).

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Exploring Concepts in Algebraic Patterning

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  1. Exploring Concepts in Algebraic Patterning Workshop presented at National Numeracy Facilitators Conference February 2008 Teresa Maguire and Jonathan Fisher

  2. Outline • Supporting teachers with the ARBs (10 min) • Patterns (35 min) • Basic facts (35 min) • Discussion (10 min)

  3. Supporting teachers with the ARBs How the ARBs can be used to support teachers? • Animation / CD • Next steps booklet • Support material • Teacher information pages • Concept maps

  4. Animation CD/exe

  5. Next steps booklet

  6. Support materials

  7. Teacher information pages  To do • Task administration • Answers/responses • Calibration easy (60-79.9%) • Diagnostic and formative information (common wrong answers and misconceptions) • Strategies • Next steps • Links to other resources/information and to concept maps

  8. Concept maps • Provide information about the key mathematical ideas involved • Link to relevant ARB resources • Suggest some ideas on the teaching and assessing of that area of mathematics • Are “Living” documents

  9. Concept maps For example, currently on ARBs • Computational estimation • Fractional thinking • Algebraic thinking

  10. Concept Maps

  11. Concept maps

  12. Concept maps Under development for ARBs • Algebraic patterns • Basic facts

  13. Patterns A bit about our research Shapes Beads Sticks Machines

  14. Shapes

  15. Beads

  16. Sticks Beds Flats Xmas Trees

  17. Machines

  18. Assessment Resource Banks www.arb.nzcer.org.nz Username: arb Password: guide

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