RICHARD HOSHINO N ATIONAL I NSTITUTE OF I NFORMATICS, T OKYO V ISIT TO ASIJ S EPTEMBER 14 TH,

Activity #1 Fill in the Blanks 24 H____ in a D__ = 24 H OURS IN A D AY 2

Problem-Solving Strategy #1 Start with what you know to uncover what you don’t know “True learning involves figuring out how to use what you already know in order to go beyond what you already think.” – Jerome Bruner 3

Sudoku and Crossword Puzzles 4

Canada Border Services Agency 5

Marine Container Shipping 6

Improving Risk-Assessment 7

Activity #2 Triangle Magic 8

Problem-Solving Strategy #2 Challenge all of your assumptions “Begin challenging your own assumptions. Your assumptions are your windows on the world. Scrub them off every once in awhile, or the light won't come in.” – Alan Alda 9

Euclid’s Five Axioms 10 Can draw a straight line from any point to any point. Can extend a finite straight line continuously. Can describe a circle with any centre and radius. All right angles are equal to one another. Two non-parallel lines have a point of intersection.

Activity #3 Game of Fifteen 11

Problem-Solving Strategy #3 Convert difficult problems into equivalent simpler problems “To raise new questions, new possibilities, to regard old problems from a new angle, requires creative imagination and marks real advance in science.” – Albert Einstein 12

Environmental Sustainability What is the optimal way to design a cylindrical can to minimize manufacturing waste? 13

Schedules for Pro Baseball 14

Graph Theory 15

Tokyo Subway System 16

Key Insight These two problems are equivalent! 17 =

Recap of Three Main Points Start with what you know to uncover what you don’t know. Challenge all of your assumptions. Convert difficult problems into equivalent simpler problems. 18