Topic: Problem Solving Hueristics

1. Decanting Puzzle (also known as the 3-Jug problem)
http://www.subtangent.com/maths/jugs.php

Maths topic: Problem Solving or Group Theory (Upper Sec/JC level)

  • Given the condition (ie. The size of the jugs) and the target (ie. Amount of water required), pupils drag and drop to figure out how to get the required amount of water.
  • In this activity, pupils can problem solve using the trial and error method whereas at upper secondary/JC, pupils can be asked to look at the thinking behind (ie. Group Theory – see the pdf file downloadable from website).
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2. Cross the River
http://pbskids.org/cyberchase/allgames.html

Maths topic: Problem Solving
  • The objective is to move a number of people from one end of the river to the other. There are some conditions set (eg. in one instance, only the person is so heavy that the boat can only take him/her).
  • Planning/Strategy is required to accomplish the task with the least number of moves.

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3. Bike Route
http://pbskids.org/cyberchase/webisode_3/web_game3.html

Maths topic: Problem Solving

  • Pupils are to cover a number of places, on the way to the “library”.
  • Planning/Strategy is required to accomplish the task with the least number of moves.

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4. Pour to Score
http://pbskids.org/cyberchase/games/hardproblems/

Maths topic: Problem Solving

  • Given the condition (ie. The size of the jugs) and the target (ie. Amount of water required), pupils drag and drop to figure out how to get the required amount of water.
  • In this activity, pupils can problem solve using the trial and error method

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5. Leap Frog Investigation
http://www.woodlands-junior.kent.sch.uk/maths/leapfrog/index.htm

Maths topic: Problem Solving Heuristic

  • Starting from 2 frogs and 3 leaves, pupils find out the least number of possible steps to move the frogs to the opposite end.
  • They will increase the number of frogs to try again. After several attempts, they will be able to develop a strategy to move the frogs physically.
  • They will record down the number of frogs and moves.
  • By observing the sets of data, they will be able to derive a number pattern.

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6. Sudoku
http://www.counton.org/sudoku/

Maths topic: Number patterns

  • Based on the given numbers on the grid, pupils figure out what are the missing numbers.
  • This activity can used to sharpen one’s observation and analysis skills.

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7. Maths Mysteries
http://www.counton.org/mathsmysteries/

Maths topic: Number patterns

  • In the first activity, pupils first learn about number patterns (so as to unlock the cages).
  • After several illustrations, pupils attempt a few problems where they complete the number patterns.
  • The second activity introduces symmetry. Pupils click at the tiles to complete the other half of the image, given the line of reflection.

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Main website - Novel Games - Small Flash Games: http://www.novelgames.com/flashgames/

  1. Penguin Family: In this game you need to help the penguins cross the river. The penguins come in pairs of father and son. When the father is not around, the son will be scared and fly away if adults from other families are there. Plan carefully to let all the penguins cross the river. Click on the penguins to move them to and from the floating ice, the floating ice can hold at most two penguins. Click the ice to move to the opposite shore, the ice can move only when there are penguins on it.
  2. Water Jars: In this game you are given a 5 litre water jar and a 7 litre water jar, your task is to measure out 6 litres of water using these two jars. This problem is actually not very difficult.
  3. Hourglass Problem: In this game you are given 2 hourglasses one of 7 minutes and the other of 11 minutes. Your task is to use these 2 hourglasses to measure times of 15 minutes and 24 minutes. Can you do that?
  4. Bridge Crossing: In this game you help the people cross the bridge. A lamp must be carried when crossing the bridge and it can only last for 30 minutes. The bridge can only take 2 persons at the same time and each person walks at different speeds. So you need to plan the combinations of the persons crossing the bridge carefully.
  5. Missionaries and Cannibals: In this game you need to move the missionaries and the cannibals to the opposite shore by using a boat. The boat cannot move by itself, and it cannot hold more than 2 passengers. When there are more cannibals than missionaries on one side, the cannibals will eat the missionaries!
  6. Wolf, Sheep and Cabbage: Move the wolf, sheep and cabbage to the opposite shore using the boat. Each time the boat can only take one item and so multiple crosses is necessary. Be careful, when the man is not around, the wolf will eat the sheep, and the sheep will eat the cabbage. Plan your moves carefully so that all three items are put on the opposite shore.
  7. Tower of Hanoi: The object of this game is to move all the rings from the first column to the third column. The rings should be moved one by one and a ring cannot be placed on top of a smaller ring. This game tests your organizational ability to see if you can systematically move the rings. (Note: Can set up to 10 pieces)
  8. Sudoku: Sudoku is a popular logical game with easy rules. In this game you will be given a grid of numbers and you should finish the grid by putting numbers into it. The numbers in a row or column or group cannot repeat, you can use your logical thinking to deduce what number should be in a given place. This puzzle provides excellent training for the logical mind.
  9. Four Piece Tangram: This is an ancient puzzle game. In this game you arrange the four tiles to form the shape that is given to you. The elegance of the game is in its small number of pieces and its ability to create some very challenging puzzles. You need to think laterally in order to solve the puzzles.
  10. Math Search: This is a traditional word search game with a mathematical twist. Instead of searching for words, you search for numbers representing the answers to an equation. You need to be able to calculate the answer to the equation and then search the answer in a grid of numbers.