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Experiencing  Singapore Math Singapore Math Administrators Symposium  Chicago  27 – 29 January 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],[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 Method Used in Singapore Textbooks
Experiencing  Singapore Math A C B In the diagram, ACEG and BDFH are squares. AB, CD, EF and GH are of the same length. The ratio of AB : BC is 2 : 1. What fraction of square ACEG is shaded? Grade 6 National Test Item  Singapore Examination and Assessment Board 2010 H D G E F
Experiencing  Singapore Math A C B H D G E F
Experiencing  Singapore Math A C B  H  D G E F
concrete introduction
   “… 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
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math Traditional Gift from Singapore ‘Five Stones’
Experiencing  Singapore Math Session    From Concrete to Pictorial
emphasis  visualization
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 Session  ,[object Object]
Where Does It All Lead To?,[object Object]
Experiencing  Singapore Math
Experiencing  Singapore Math
Experiencing  Singapore Math Dolphin show 1235 275 Bird show 960  1235 – 275 = ?  1235 – 235 – 40  =   960  1235 + 960 = ?  2235 – 40  = 2235 – 35 – 5 =    2195  2195 people attend both shows.
Experiencing  Singapore Math 2 units = $24 2 units = $24 1 unit = $12 The book costs $12.
Experiencing  Singapore Math
Experiencing  Singapore Math 3 units = $24 3 units = $24 1 unit = $8 The book costs $16. 2 units = $16
Experiencing  Singapore Math 3 units = $24 1 unit = $8 4 units = $32 The book costs $32 ÷ 3 = $10.67.  $24
emphasis  variation
emphasis  variation
Experiencing  Singapore Math Session  ,[object Object]
Teach Less, Learn More,[object Object]
emphasis  variation connections
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
Experiencing  Singapore Math
How to make sure the butterfly cannot flyHow do you get a butterfly?First there is the egg which hatches into a caterpillar. The caterpillar eats and grows. At the right time, it makes a cocoon out of its own body. While in the cocoon, the caterpillar changes into a butterfly.When the butterfly is ready, it starts to break through the cocoon. First a hole appears. Then the butterfly struggles to come out through the hole. This can take a few hours.If you try to "help" the butterfly by cutting the cocoon, the butterfly will come out easily but it will never fly. Your "help" has destroyed the butterfly.The butterfly can fly because it has to struggle to come out. The pushing forces lots of enzymes from the body to the wing tips. This strengthens the muscles, and reduces the body weight. In this way, the butterfly will be able to fly the moment it comes out of the cocoon. Otherwise it will simply fall to the ground, crawl around with a swollen body and shrunken wings, and soon die.If the butterfly is not left to struggle to come out of the cocoon, it will never fly.We can learn an important lesson from the butterfly.If we do not have struggles and challenges in our work, we will never grow strong and capable. If life has no difficulties, we will become weak and helpless.Lim Siong GuanHead, Civil Service
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
Singapore Math Summer Institute Worchester State University, MA      6-8 July 2011 where content meets pedagogy DrYeap Ban Har Dr Richard Bisk  Several Other Singapore Presenters  Contact melissaooi@sg.marshallcavendish.com
Singapore Math Administrators Symposium, Chicago

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Blake Institute June 2014 complete
Blake Institute June 2014 completeBlake Institute June 2014 complete
Blake Institute June 2014 complete
 

Singapore Math Administrators Symposium, Chicago