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Problem solving class

This dynamic problem-solving class for 6-7-year-olds focuses on inquiry-based learning. Kids will work in groups to explore various problems through creativity and critical thinking. Activities include sharing ideas, making diagrams, and engaging with problems like drying towels, weighing kittens, and playing the Nim game. Students will learn how to analyze problems, recognize patterns, and develop solutions while encouraging collaboration and metacognition. This class aims to inspire out-of-the-box thinking and flexibility in problem-solving.

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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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