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Experiencing  Singapore Math Singapore Math Symposium  Birmingham 15 April 2011 Yeap Ban Har		 banhar@sg.marshallcavendish.com www.marshallcavendish.com/education/mci
Experiencing  Singapore Math Session    Mathematics as a Thinking Tool   Importance of Initial Concrete Experiences ,[object Object]
Slides are available at www.banhar.com,[object Object]
Revision of the Curriculum  1992 2001 2007 2013 thinking curriculum and standards
TIMSS 2007 Trends in International Mathematics and Science Studies Indonesia Thailand Malaysia Singapore International Grade 8 Advanced 2 3 0 40 2 High 15 12 4 70 18 Intermediate 46 44 14 88 50 Low 75 66 48 97 82 Woodlands Primary School
TIMSS 2007 Trends in International Mathematics and Science Studies Indonesia Thailand Malaysia Singapore International Grade 8 Advanced 2 3 0 40 2 High 15 12 4 70 18 Intermediate 46 44 14 88 50 Low 75 66 48 97 82 Woodlands Primary School
TIMSS Trends in International Maths and Science Studies Sweden Median U S A Japan Singapore Grade 4 Advanced 3 10 5 41 23 High 24 40 26 74 61 Intermediate 69 77 67 92 89 Low 93 95 90 98 98 TelokKurau Primary School, Singapore
TIMSS Trends in International Maths and Science Studies Average Hong Kong Singapore Korea Taiwan Grade 8 Advanced 2 40 31 45 40 High 15 70 64 71 71 Intermediate 46 88 85 86 90 Low 75 97 94 95 98 Northlight School, Singapore
PISA 2009 Program for International Student Assessment 14.6% Shanghai and 12.3% Singapore students were at Level 5 and above for all three domains. The international average is 4.1%.
Experiencing  Singapore Math See Page 13 E A B ABCD and EFGH are squares. AE, BF, GC and HD are equal in length. AE is twice as long as EB. What fraction of square ABCB is shaded? Grade 6 National Test Item  Singapore Examination and Assessment Board H F D C G
Experiencing  Singapore Math
Experiencing  Singapore Math  
concrete introduction
See Page 2
See Page 2
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Princess Elizabeth Primary School    “… in which at some simple level a set of ideas or operations were introduced in a rather intuitive way …”  Bruner 1975, p.3-4
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math Session  ,[object Object]
The Role of Visuals & Visualization,[object Object]
Experiencing  Singapore Math See Page 9
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math See Page 8 Show 2 ½. How many halves is equal to 2 ½?
Experiencing  Singapore Math See Page 8
Experiencing  Singapore Math See Page 6
Experiencing  Singapore Math See Page 7
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math Da Qiao Primary School
Experiencing  Singapore Math Session  ,[object Object]
Focus on Thinking and Problem Solving,[object Object]
Experiencing  Singapore Math Singapore Math in Chile
Experiencing  Singapore Math
Experiencing  Singapore Math After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book. 2 units = $18 2 units = $18 1 unit = $9 The book costs $9.
Experiencing  Singapore Math After spending 1/4 of his allowance on a book and 1/3 of the remainder on stationery, Jon has $18 left. Find the cost of the book.
Experiencing  Singapore Math After spending 1/4 of his allowance on a book and 1/2 of the remainder on stationery, Jon has $18 left. Find the cost of the book. 3 units = $18 3 units = $18 1 unit = $6 The book costs $12. 2 units = $12
Experiencing  Singapore Math After spending 1/4 of his allowance on a book and 1/4 of the remainder on stationery, Jon has $18 left. Find the cost of the book. 3 units = $18 1 unit = $6 4 units = $24 The book costs $24 ÷ 3 = $8.  $18
Experiencing  Singapore Math Session  ,[object Object],in Mathematics Instruction in Singapore
Revision of the Curriculum  1992 2001 2007 2013 thinking curriculum and standards
thinking textbooks
thinking pedagogy
PERI Report 2010 engagement pedagogy
engagement pedagogy
thinking national test     of a group of children are boys.       of the boys and 210 girls chose to go on a school trip.       of the children chose not to go on the school trip.  How many children chose to go on the school trip?  210 960 children chose to go.
technology national test A type of candy costs 40 cents each. Find the largest number of candies that can be bought with $95. $95 ÷ 40 cents = 367.5 The largest number of candies that can be bought is 367.
struggling learners system-wide strategies learning support programs foundation programs
lessonstudy professional development
TIMSS Trends in International Mathematics and Science Studies Grade  4   2003 Grade  8   2007 Grade  4   1995 Grade  8   1999 38 40 Advanced 38 42 73 70 High 70 77 91 88 Intermediate 89 94 97 97 Low 96 99
Attitude Achievement Taiwan 37 45 Grade 8 S Korea 33 40 Singapore 60 40 Hong Kong 47 31 Japan 30 26 Hungary 30 10 England 40 8 International 54 2
Singapore Math Summer Institute Worchester State University, MA      6-8 July 2011 where content meets pedagogy DrYeap Ban Har Dr Richard Bisk  Other Singapore Presenters  Contact melissaooi@sg.marshallcavendish.com This institute is modeled after teacher professional development in Singapore.

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