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# MCI Worchester State University Lecture 1 Yeap

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Plenary Lecture 1 on Fundamentals of Singapore Math. This MCI-WSU Singapore Math Institute is a collaboration between the US university and Marshall Cavendish Institute. 76 participants spent three days with three presenters learning about teaching of whole numbers and fractions.

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### MCI Worchester State University Lecture 1 Yeap

1. 1. Day 1 Program<br />Opening<br />Pedagogy Strand<br />Fundamentals o Singapore Math<br />Content Strand<br />Counting & Place Value<br />Classroom Sessions 1<br />Focus on Addition & Subtraction<br />Classroom Sessions 2<br />Focus on Multiplication & Division<br />Welcome<br />
2. 2. PLENARY LECTURE 1  YEAP BAN HAR<br />Fundamentals of<br />SINGAPORE MATH<br />This lecture provides an overview of the fundamental features of Singapore Math.<br />For teachers new to Singapore Math, it aims to provide a strong foundation to what makes mathematics accessible to all students, and helps students learn it in a way that is useful.<br />For teachers experienced in teaching Singapore Math, the examples are chosen to give subtle insights into the approach. <br />Slides are available at <br />www.banhar.blogspot.com<br />and <br />Marshall Cavendish Institute’s Facebook<br />Bukit View Primary School, Singapore<br />
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4. 4. 88<br />11 units = 88<br /> 1 unit = 88 ÷ 11 = 8<br /> 6 units = 6 x 8 = 48<br /> 5 units = 5 x 8 = 40<br />The two numbers are 40 and 48.<br />
5. 5. emphasis on<br />visualization<br />One third of a number is equal to one half of another. Their sum is 80. Find the two numbers.<br />5 units = 80<br />1 unit = 80 ÷ 5<br />80<br />1 unit = 10 + 6 = 16<br />3 units = 3 x 16<br />The two numbers are 32 and 48.<br />3 units = 30 + 18 = 48<br />2 units = 2 x 16 = 32<br />
6. 6. emphasis on<br />visualization<br />One third of a number is 2 less than one half of another. Their sum is 84. Find the two numbers.<br />2<br />84<br />
7. 7. emphasis on<br />visualization<br />One third of a number is 2 less than one half of another. Their sum is 84. Find the two numbers.<br />2<br />80<br />84<br />2<br />2<br />5 units = 80<br />1 unit = 80 ÷ 5 = 10 + 6 = 16<br />3 units = 3 x 16 = 45 + 3 = 48<br />2 units = 2 x 16 = 32 <br />The two numbers are 48 and 36.<br />
8. 8. 88<br />80<br />2<br />84<br />emphasis on<br />variations<br />
9. 9. The importance of pictorial representations preceding abstract representations<br />The importance of variations – mathematical and perceptual<br />Bruner<br />Dienes<br />Singapore Math as we call it today is simply the result of systematic and consistent application of synthesis of established learning theories.<br />
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19. 19. emphasis on<br />generalization<br />
20. 20. emphasis on<br />numbersense<br />96<br />80<br />16<br />3 x 16 = 30 + 18<br />96 = 80 + 16<br />3 x 16 = 32 + 16<br />3 x 16 = 45 + 3<br />4<br />96<br />8<br />16<br />
21. 21. school<br />mathematics<br />more than<br />functional<br />mathematics<br />JFK International Airport, USA<br />
22. 22. t<br />h<br />p<br />r<br />o<br />b<br />l<br />e<br />m<br />s<br />o<br />l<br />v<br />i<br />n<br />g<br />n<br /><ul><li>visualization
23. 23. generalization
24. 24. number sense
25. 25. metacognition</li></ul>k<br />i<br />n<br />g<br />