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Totally Problem Solving! Totally Learning! Totally Fun!

Totally Problem Solving! Totally Learning! Totally Fun!. York University October, 2010. Totally Problem Solving! Totally Learning! Totally Fun!. Agenda Introductions ( Favourite Shape) Elastic bands Math Path (Problem Posing) Biggest? Tangrams Debrief.

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Totally Problem Solving! Totally Learning! Totally Fun!

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  1. Totally Problem Solving! Totally Learning! Totally Fun! York University October, 2010

  2. Totally Problem Solving! Totally Learning! Totally Fun! Agenda • Introductions (Favourite Shape) • Elastic bands • Math Path (Problem Posing) • Biggest? • Tangrams • Debrief

  3. Totally Problem Solving! Totally Learning! Totally Fun! Elastic Band Geometry • Triangle • Square • Rhombus • A Figure with a Line of Symmetry • Triangular Pyramid (Tetrahedron) • Rectangular Prism

  4. Totally Problem Solving! Totally Learning! Totally Fun! Math Path Measurement Kit: • Ruler • String • Centimeter Grid • Pipe Cleaners • Meter Stick • Cups • Piece of Paper • Stop Watch • Weights

  5. Totally Problem Solving! Totally Learning! Totally Fun! Which is the biggest? Justify your answer. • Oak Leaves • Cosmos • Pine Cones

  6. Totally Problem Solving! Totally Learning! Totally Fun! Constructing Your Own Set of Tangrams by Tom Scavo Materials • a rectangular piece of paper suitable for folding • a pair of scissors • a ruler (optional) A complete set of tangrams consists of seven pieces: • a small square • two small congruent triangles • two large congruent triangles • a medium-size triangle • a parallelogram You can make your own set of tangrams from a single piece of paper.

  7. Totally Problem Solving! Totally Learning! Totally Fun! http://www.tangrams.ca/

  8. Totally Problem Solving! Totally Learning! Totally Fun! • What is problem solving? • How are the processes of mathematics embedded in problem solving? • What is a problem solving approach to teaching? (Generating Curiosity in Mathematics Learning) • Why use a problem solving approach? • Sources: OAME Gazette, NCTM Teaching Children Mathematics

  9. Totally Problem Solving! Totally Learning! Totally Fun! Questions Wikispaces.com Invitation to Join – I need your email address.

  10. Totally Problem Solving! Totally Learning! Totally Fun! One more idea - Polyhedra Investigation Use the Polydron® provided to determine which solids can be constructed given these characteristics: • faces are all regular polygons • they are convex solids • and all faces are congruent Make a convincing argument as to why the solids that you have discovered are the only ones which can be made given the above constraints. Your explanation may be in the form of a series of drawings.

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