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- 1. Teaching Fundamental Concepts in Fractions~ using Problem Solving Approach~ Peggy Foo Marshall Cavendish Institute
- 2. Focus of Singapore Math The central focus is on mathematical problem solving Reasoning, communication and connections
- 3. Exercise vs Problem Find the sum How many ways can I get 3? 275 + 418 = ___ −
- 4. Exercise vs Problem Exercise Problem Complex Simple, straightforward Novel Familiar Do not have routine Use routine procedures procedures
- 5. Problem Solving Approach Does not always have to come after teaching of basic concepts and skills Can take place at the beginning of a topic to teach basic concepts Teaching through problem solving
- 6. Teaching through Problem SolvingProblem 1 Find different ways to represent halves and quarters?
- 7. Who is correct?Problem 2Allen thinks that ¼ of the rectangle is shaded. Sherlynthinks that Allen is wrong because the triangles are different?
- 8. Learning Points Allen is correct. Each equal part can be identical (same size and shape) Each equal part can also be of the same size but different shape
- 9. Example 4 parts are in equal size when the shapes are different.
- 10. Who is correctProblem 3: From the previous task, Allen concludes that ½ is bigger than ¼. Sherlyn thinks Allen is wrong again.
- 11. Learning Points Allen is wrong. ½ may not be bigger than ¼. It depends on the quantity of the whole used.
- 12. Equivalent FractionsFold a piece of paper into 4 equal partsShow 3 fourthsFold the same strip into 8 equal parts.How many eighths are equal to 3 fourths?How many twelfths are equal to 3 fourths?
- 13. Mixed NumbersShare 1 cake equally among 4 childrenShare 3 cakes equally among 4 childrenShare 5 cakes equally among 4 children

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