Fundamental Concepts in Fractions

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  • Which is your favourite answer? How do you know they are halves? They are of the same size and shape (identical)
  • Give paper strips But the equivalent fractions together Multiplying and dividing the numerator and denominator by the same number
  • Fundamental Concepts in Fractions

    1. 1. Teaching Fundamental Concepts in Fractions~ using Problem Solving Approach~ Peggy Foo Marshall Cavendish Institute
    2. 2. Focus of Singapore Math The central focus is on mathematical problem solving Reasoning, communication and connections
    3. 3. Exercise vs Problem Find the sum  How many ways can I get 3? 275 + 418 = ___ −
    4. 4. Exercise vs Problem Exercise Problem  Complex Simple, straightforward  Novel Familiar  Do not have routine Use routine procedures procedures
    5. 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. 6. Teaching through Problem SolvingProblem 1 Find different ways to represent halves and quarters?
    7. 7. Who is correct?Problem 2Allen thinks that ¼ of the rectangle is shaded. Sherlynthinks that Allen is wrong because the triangles are different?
    8. 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. 9. Example 4 parts are in equal size when the shapes are different.
    10. 10. Who is correctProblem 3: From the previous task, Allen concludes that ½ is bigger than ¼. Sherlyn thinks Allen is wrong again.
    11. 11. Learning Points Allen is wrong. ½ may not be bigger than ¼. It depends on the quantity of the whole used.
    12. 12. Equivalent FractionsFold a piece of paper into 4 equal partsShow 3 fourthsFold the same strip into 8 equal parts.How many eighths are equal to 3 fourths?How many twelfths are equal to 3 fourths?
    13. 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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