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Problem solving class

Problem solving class. For 6-7 year olds Art of Inquiry, LLC www.artofinquiry.net. Work in groups. Share ideas! Make diagrams and pictures! For each problem: State the problem in your own words. Is it a tricky problem? Why/why not? How many solutions are there? Which one is the best?.

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Problem solving class

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  1. Problem solving class For 6-7 year olds Art of Inquiry, LLC www.artofinquiry.net

  2. Work in groups • Share ideas! Make diagrams and pictures! • For each problem: • State the problem in your own words. • Is it a tricky problem? Why/why not? • How many solutions are there? • Which one is the best?

  3. Count triangles! Fractals – self-similar in all scales. http://www.shodor.org/interactivate/activities/SierpinskiTriangle/

  4. Drying towels • 3 volunteers • 3 “towels” • Three friends went to splash in a pool, and took their bath towels with them. It takes 10 min for a towel to dry. How long will it take for 3 towels?

  5. Weighting cats • It is known that two kittens weight less than their cat mom. Do three kittens weight more than their mom?

  6. Nim game ( play with a partner) • A fairy-tale prince wants to save a princess from a dragon. The dragon suggests a game. If the prince wins the game, the princess may go. If not, the princess stays with dragon forever. • ( Try this with 12 counters at home!) • Two players take turns crossing off 1, 2, or 3 circles. The player who crosses off the last circle loses. • Easy: • Harder:

  7. Extra problems ( take home) • Make a knot on the rope while holding both ends of the rope. • Is it possible to put 5 checkers in such a way that each checker touches 2 others? • 3 others?

  8. For teachers and parents • Counting triangles: • Out of the box thinking • Pattern recognition • On deeper level – introduction to fractals • More on fractals for kids: http://www.moebiusnoodles.com/2011/10/halloween-fractals/ • Analysis • Synthesis • Flexibility • Metacognition Math 2.0 Objectives:

  9. For teachers and parents • Drying towels: • Open-ended problem • On deeper level – introduction to parallel processes • More on open-ended problem solving for kids: http://www.mathwire.com/archives/enrichment.html#problem • Flexibility • Fluency • Originality • Collaboration • Metacognition Math 2.0 Objectives:

  10. For teachers and parents • Weighting cats • Problem evaluation • Accepting uncertainty • Problem analysis • On deeper level – introduction to ill-defined problems • More on puzzles for kids: http://www.aimsedu.org/Puzzle/ • Evaluation • Analysis • Intellectual Risk Taking • Elaboration • Metacognition Math 2.0 Objectives:

  11. For teachers and parents • Nim game • “Backward” problem solving approach • Strategy analysis • On deeper level – introduction to strategic math games • More on math games/math manipulatives for kids: http://nlvm.usu.edu/en/nav/vlibrary.html • Flexibility • Analysis • Synthesis • Intellectual Risk Taking • Metacognition Math 2.0 Objectives:

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