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Problem Solving is Fun and I Can Prove It!

Problem Solving is Fun and I Can Prove It!. October 14, 2004 David Rock www.faculty.umassd.edu/david.rock drock@umassd.edu University of Massachusetts Dartmouth. The Straight Line of Wonder. Mem Fox 1997. Frog in the Pond.

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Problem Solving is Fun and I Can Prove It!

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  1. Problem Solving is Fun and I Can Prove It! October 14, 2004 David Rockwww.faculty.umassd.edu/david.rock drock@umassd.edu University of Massachusetts Dartmouth

  2. The Straight Line of Wonder • Mem Fox • 1997

  3. Frog in the Pond There is a circular pond with a diameter of 200 feet. Dead in the center of the pond is a frog on a lily pad. The average leap of a frog is two feet, and there are plenty of other appropriately spaced lily pads in the pond on which to jump. What is the minimum number of leaps it will take the frog to jump completely out of the pond? 200 feet

  4. Strategies students use Repeated additionRepeated subtractionGroundwork for multiplication

  5. How Much Dirt • How many cubic inches of dirt are there in a hole that is one foot deep, two feet wide, and three feet long? • Multiple Levels. • Variety of Concepts.

  6. Why is it important to make problem solving fun? • Interest towards Mathematics • Mathematical Enthusiasm • Inspiration • Problem solving is one of our most important standards – key to success in other subjects • We tend to succeed at things we enjoy • We tend to enjoy things at which we succeed

  7. Cute Little Bookworm There is a three-volume set of books sitting on a shelf. The front and back covers of the books are each one-eighth inch thick. The page section inside each book spans exactly two inches. A cute little bookworm starts eating at page one of volume one and eats, in a straight line, through to the last page of volume three. How far will the little worm travel?

  8. Strategies • The answer is not six and one-half inches. • HINT: Try the problem! • Drawing a diagram is a great strategy – but you are not physically trying the problem!

  9. Card Tricks are Fun Pick a card and concentrate on that card!

  10. It’s Magic! I threw out your card!

  11. Handy Man • A man walks into a hardware store and buys:1 for $120 for $2 300 for $3 • What is the man buying?

  12. Not Tic-Tac-Toe • Toe-Tac-TicThe object of the game is to get three in a row! What skills are used to play this game? • Not-Toe-Tac-TicThe object of the game is to NOT get three in a row! What skills are used to play this game?

  13. Numeric Phrase • What number does the following phrase represent? TTTTTTT9 • Seven Ts and a 9 • Say it fast.

  14. Old Age • A person was born on September 28, 31 B.C. and died on September 29, 36 A.D. How many years did the person live? • What skills are needed?

  15. 19 – 1 = 20 How can you take one away from nineteen and get twenty?

  16. Roman Numerals? XIX is 19Take away the I and you get XX which is 20

  17. A Perfect Ten • Observe the four straight line segments below. Add 5 more straight line segments to make 10. T E N

  18. Problem Solving Board • Create a problem solving bulletin board for the classroom. • Post 1-2 weekly contest problems. • Provide incentives and recognition for correct work. • Encourage outside help.

  19. White House Math Challenge www.whitehouse.org/kids/math Four Distinct LevelsElementary SchoolMiddle School High School Open Challenge

  20. Math Curse • Scieszka, John Smith, Lane1995

  21. Seminar Materials • Web Addresswww.faculty.umassd.edu/david.rock Visit Seminar Materials • E-mail: drockd@umassd.edu

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