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Shape

Shape. Child’s world is 3-d but 3-d shapes ( polyhedra ) are defined by their 2-d characteristics Representations of 2-d shapes ( polygons ) only true if drawn or shadows. Visualisation. 2-d. Polygons. Polygons. Triangles. Sorting triangles. Quadrilaterals. Quadrilaterals. 3-d shapes.

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Shape

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  1. Shape

  2. Child’s world is 3-d but 3-d shapes (polyhedra) are defined by their 2-d characteristics • Representations of 2-d shapes (polygons) only true if drawn or shadows.

  3. Visualisation 2-d

  4. Polygons

  5. Polygons

  6. Triangles

  7. Sorting triangles

  8. Quadrilaterals

  9. Quadrilaterals

  10. 3-d shapes Reception cube pyramid sphere cone Year 1 cuboid cube Year 2 Year 3 hemi-sphere prism Year 4 tetrahedron octahedron Year 5 octahedron Year 6 dodecahedron

  11. Visualisation 3-d

  12. Today’s schedule

  13. Independent Study Task • Read Askew, M. and Wiliam, D (1995) ‘Careful choice of examples improves children’s concept formation’ in Askew, M. and , Wiliam, D. Recent research in mathematics education 5-16 London: HMSO • Devise a set of at least 20 shape playing cards. Outline an activity that could be undertaken in the classroom to support children’s understanding of either right angles or polygons using your set of 20 cards. (P- Task design) • Read Fujita, T. and Jones, K. (2007) ‘Learners Understanding of the Definitions and Hierarchical Classification of Quadrilaterals: Towards a Theoretical Framing’. Research in Mathematics Education, 9 (1), 3-20 What are the key points from their research? What are the implications for teaching and learning?

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