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