Singapore MathsTHE ESSENTIALSLondon  June 2011DrYeap Ban Harbanhar@sg.marshallcavendish.comMarshall Cavendish Institute SingaporePresentation slides are available at www.banhar.blogspot.com
Kembangan PCF Kindergarten
Curriculum for all learnersStruggling students learn enough
Average students perform advanced skills
Advanced students are challengedKembangan PCF Kindergarten
TIMSSTrends in International Mathematics and Science StudiesGrade  4   2003Grade  8   2007Grade  4   1995Grade  8   19993840Advanced38427370High70779188Intermediate89949797Low9699
Singapore Mathematics: Focus on Thinkinganexcellentvehicleforthe development&improvement ofa person’s intellectualcompetenciesMinistry of Education Singapore 2006
Allan puts some brown sugar on a dish.The total weight of the brown sugar and the dish is 110 g.Bella puts thrice the amount of brown sugar that Allan puts on an identical dish, and the total weight of the brown sugar and the dish is 290 g.Find the weight of the brown sugar that Bella puts on the dish.an identical
Allan puts some brown sugar on a dish.The total weight of the brown sugar and the dish is 110 g.Bella puts thrice the amount of brown sugar that Allan puts on an identical dish, and the total weight of the brown sugar and the dish is 290 g.Find the weight of the brown sugar that Bella puts on the dish.an identical110 g2 units = 180 g1 unit = 90 g110 g180 g3 units = 270 gBella puts 270 g brown sugar on the dish.290 g
110 g3 units = 180 g1 unit = 60 g110 g180 g3 units = 180 gBella puts 180 g brown sugar on the dish.290 g
Singapore MathVisualization
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Professional Development in Santiago de Chile
Singapore MathPatterns
ArchipelschoolDe Tweemaster – KameleonThe Netherlands
BeliefsInterestAppreciationConfidencePerseveranceMonitoring of one’s own thinkingSelf-regulation of learningAttitudesMetacognitionNumerical calculationAlgebraic manipulationSpatial visualizationData analysisMeasurementUse of mathematical toolsEstimationMathematical Problem SolvingReasoning, communication & connectionsThinking skills & heuristicsApplication & modellingSkillsProcessesConceptsNumericalAlgebraicGeometricalStatisticalProbabilisticAnalyticalIn Singapore, a curriculum that focuses on mathematical problem solving was introduced in 1992.
Professional Development in ARK Schools, London
Problem Solving in Learning Basic Concepts and SkillsProfessional Development in Santiago de Chile
Reference: Primary Mathematics (Standards Edition)
Reference: Primary Mathematics (Standards Edition)
Singapore MathLearn New Concept Through Problem Solving
Singapore MathDrill-and-Practice Through Problem Solving
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Singapore MathApplying Knowledge in Problem Solving
makes abstract concepts accessible to learners who are not  yet  ready  for  abstractionThe CPA ApproachFocus on Thinkingbuilds fundamental intellectual competencies required for learners to handle abstraction
Textbook
Reference: My Pals Are Here! Maths
1. Setting Up the TaskEach person should get 12 animals. I have given you some. How many more do you need?Pupils had opportunities to work independently as the teacher attended to other pupils.
2. Development (1)Put four animals into one cup. Note only one cup is given.This mirrors drawing rings around four objects.
Students should have positive experiences during the lesson.Put four animals into a second cup.
How many animals are there altogether? How many animals are there in one cup? How many cups do we use?
3. Development (2)This is like the workbook tasks except that the magnets can be moved. Built-in remedial strategy.
Pupils needs to monitor the number of magnets as well as to manage their visualization process.Variations on the arrangements of magnets to increase the level of visualization required.
4. Extension
5. Development (3) The use of colour to show the group. Built-in remedial strategy.
CPA ApproachLinks between concrete and pictorial representation must be carefully constructed.Remedial steps are built into instruction
Reference: Primary Mathematics (Standards Edition)
51 – 1751 x 351 + 26

ARK Schools, London