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Singapore Maths at Harris Workshop 2
The document discusses Singapore Math and its emphasis on visualization and multi-step word problems involving fractions. It provides examples from primary level textbooks showing how visuals are used to teach concepts like the distributive property without using formal terms. The examples illustrate multi-step fraction word problems and how they are visually represented and solved step-by-step to find the total number of coins or durians originally involved.
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Singapore Maths at Harris Workshop 2
- 1. Singapore Maths The Emphasis on Visuals Multi-Step Problems on Fractions Harris Federation, London October 2012 Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
- 2. Jerome Bruner • EnactiveRepresentation (Concrete) • Iconic Representation (Pictorial) • Symbolic Representation (Abstract) Reference http://www.theoryfundamentals.com/bruner.htm
- 3. Howard Gardner Theory ofMultiple Intelligences • Spatial • Linguistic • Logical-mathematical • Bodily-kinesthetic • Musical • Interpersonal • Intrapersonal • Naturalistic Gardner, 1983
- 4. Primary Mathematics (ThirdEdition) See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore Primary School Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey. See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore on Higher-Order Thinking Skills. Paper presented at International Conference on School Mathematics Textbooks Shanghai, China.
- 5. Visuals are usedto teach concepts – distributive property of multiplication – without using formal terms. Primary Mathematics (Third Edition)
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- 7. Example 1 Primary 5 Year 6 3 units = 18 1 units = 18 3 = 6 6 x 8 = 48 There were 48 coins at first.
- 8. Example 2 Primary 5 Year 6 Mr Chen had some durians for sale. He sold 24 durians in the morning. In the afternoon, he sold 2 of the remainder. 7 1 Then, he had of the total number of durians left. 2 My Pals Are Here! Maths Primary 5 3 units = 24 24 1 units = 24 3 = 8 How many durians did Mr Chen had at first? 10 units = 8 x 10 = 80 At first, Mr Chen had 80 durians for sale.