Singapore Math

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  • www.timss.org
  • Note upper triangular matrix. Topics are emphasized over several grades, not repeated year after year.
  • Even lower performing Singapore students outperform U.S. students.
  • Singapore Math

    1. 1. Singapore Math Putting the World into World-Class Education Asia Society: Partnership for Global Learning 10 July 2009 Susan Sclafani National Center on Education and the Economy [email_address] Patsy Wang-Iverson Gabriella and Paul Rosenbaum Foundation [email_address]
    2. 2. <ul><li>Survival-Driven Education (1959-1978) </li></ul><ul><li>Mass Education for all- 3rd grade literacy average </li></ul><ul><li>Merged language schools into national system. </li></ul><ul><li>Bilingual policy for all schools-English and Mother Tongue </li></ul><ul><li>Vocational and technical institutions started </li></ul><ul><li>Efficiency-Driven Education (1979-1996) </li></ul><ul><li>Ability-based streaming begun </li></ul><ul><li>Recognition of independent schools and autonomous schools </li></ul><ul><li>Merger of Singapore University and the National University </li></ul><ul><li>Ability-Driven Education (1997-present) </li></ul><ul><li>Flexibility and diversity. </li></ul><ul><li>Top-down support for ground-up initiatives. </li></ul><ul><li>Nurturing every child: developing further peaks of excellence in different areas, including the arts and sports </li></ul><ul><li>Mottos: “Thinking Schools, Learning Nation” “Teach Less, Learn More” </li></ul>Education System Development
    3. 3. <ul><li>Mission : “To mould the future of the nation…” </li></ul><ul><ul><li>“ Imbued with values, able to live in society, prepared for work and open to growth throughout their lives” </li></ul></ul><ul><li>System Data </li></ul><ul><ul><li>Budget of S$6.5 billion—3.5% of GDP (USA: 5.9% of GDP) </li></ul></ul><ul><ul><li>535,000 students, 28,000 teachers, 360 schools </li></ul></ul><ul><li>Structure </li></ul><ul><ul><li>Preschool PK1-2, K1-2 from ages 3-6 (Private) </li></ul></ul><ul><ul><li>Primary school for grades 1-6 </li></ul></ul><ul><ul><li>Secondary school for 4-5 years </li></ul></ul><ul><ul><li>Postsecondary options </li></ul></ul>Current Education System
    4. 4. International Benchmarking                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
    5. 5. Focus on Students and Teachers <ul><li>Focus on every student as a national resource </li></ul><ul><ul><li>Do whatever it takes to help students succeed </li></ul></ul><ul><ul><li>Learning Support System in Grade One in English and/or math based on entry skills </li></ul></ul><ul><ul><li>Fewer than 1% in special ed schools, rest mainstreamed with assistance </li></ul></ul><ul><li>Selective Teacher Entry, Continuous Learning </li></ul><ul><ul><li>Selected from top third of graduating class </li></ul></ul><ul><ul><li>Mentored for first five years of teaching with mentors prepared by NIE </li></ul></ul><ul><ul><li>On-going professional development-100 hours per year </li></ul></ul><ul><ul><li>Choice of three career paths: master teacher, content specialist, or leadership (principal) </li></ul></ul>
    6. 6. Lessons from Singapore <ul><li>Teachers as professionals </li></ul><ul><ul><li>Work to get the job done—7:00am-5:00pm includes teaching, planning, tutoring and co/extra-curricular activities </li></ul></ul><ul><li>Alignment of standards, curriculum, professional development and assessment </li></ul><ul><li>Resource allocation ensures students’ needs met </li></ul><ul><ul><li>Opportunity funds at each school </li></ul></ul><ul><li>Alignment of primary, secondary, postsecondary ad universities through single ministry </li></ul><ul><ul><li>Teacher and postsecondary student places based on manpower needs </li></ul></ul><ul><ul><li>ITEs work closely with industry </li></ul></ul><ul><ul><li>Leadership development based on needs </li></ul></ul>
    7. 7. Lessons from Singapore <ul><li>Systematic approach to instruction </li></ul><ul><ul><li>Benchmark against high performing nations </li></ul></ul><ul><ul><li>Systematic approach to low performance </li></ul></ul><ul><ul><li>Connection of efforts across system </li></ul></ul><ul><li>Holistic approach to educating students </li></ul><ul><ul><li>Affective and cognitive domains stressed </li></ul></ul><ul><ul><li>Taught to use “Hearts, Minds and Heads” </li></ul></ul><ul><li>Commitment to continuous improvement </li></ul><ul><ul><li>Identification of best practices </li></ul></ul><ul><ul><li>Benchmarking </li></ul></ul><ul><ul><li>Research into what other systems are doing </li></ul></ul>
    8. 8. TIMSS 2003
    9. 9. Mathematics Topics Intended at Each Grade: Top performing countries in TIMSS 1995 From Schmidt et al.: ustimss.msu.edu
    10. 10. Mathematics Topics Intended at Each Grade: U.S. States Adapted from Schmidt et al.
    11. 12. Mathematical Problem Solving Attitudes Metacognition Processes Concepts Skills Numerical Algebraic Geometrical Statistical Probabilistic Analytical Reasoning, communication & connections Thinking skills & heuristics Application & modelling Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Monitoring of one’s own thinking Self-regulation of learning Beliefs Interest Appreciation Confidence Perseverance
    12. 13. Sample Problems: NAEP, Grade 4 Sam can purchase his lunch at school. Each day, he wants to have juice that costs 50¢, a sandwich that costs 90¢, and fruit that costs 35¢. His mother has only $1.00 bills. What is the least number of $1.00 bills that his mother should give him so he will have enough money to buy lunch for 5 days?
    13. 14. Sample Problem: VA, Grade 4 <ul><li>Mrs. Thomas bought 5/6 yard of red fabric and 1/2 yard of green fabric. How much more red fabric than green fabric did Mrs. Thomas buy? </li></ul><ul><li>4/4 yard </li></ul><ul><li>6/8 yard </li></ul><ul><li>5/12 yard </li></ul><ul><li>2/6 yard </li></ul>
    14. 15. Sample Problem: MA, Grade 6 <ul><li>Carrie’s rectangular garden has the dimensions shown above. </li></ul><ul><li>What is the area, in square feet, of the garden? Show your work. </li></ul><ul><li>Carrie wants to put a fence around the garden perimeter. She will pay $15 per foot of the fence. What is the amount of money in dollars Carrie will pay for the fence? Show your work. </li></ul><ul><li>Roberto has a garden in the shape of a square. The perimeter of his garden is equal to the perimeter of Carrie’s garden. What is the area, in square feet, of Roberto’s garden? Show your work. </li></ul>10 feet 14 feet
    15. 16. Singapore Primary School Leaving Exam, Grade 6 (Basic and Routine) <ul><li>From January to August last year, Mr Tang sold an average of 4.5 cars per month, He did not sell any car in the next 4 months. On average, how many cars did he sell per month last year? </li></ul>
    16. 17. <ul><li>Siti started saving some money on Monday. On each day from Tuesday to Friday, she saved 20 cents more than the amount she saved the day before. She saved a total of $6 from Monday to Friday. How much money did she save on Monday? </li></ul>Singapore Primary School Leaving Exam, Grade 6 (Problem Solving)
    17. 18. <ul><li>Siti started saving some money on Monday. On each day from Tuesday to Friday, she saved 20 cents more than the amount she saved the day before. She saved a total of $6 from Monday to Friday. How much money did she save on Monday? </li></ul>Singapore Primary School Leaving Exam, Grade 6 (Problem Solving)
    18. 19. <ul><li>Siti started saving some money on Monday. On each day from Tuesday to Friday, she saved 20 cents more than the amount she saved the day before. She saved a total of $6 from Monday to Friday. How much money did she save on Monday? </li></ul>Total = $6
    19. 20. <ul><li>Siti started saving some money on Monday. On each day from Tuesday to Friday, she saved 20 cents more than the amount she saved the day before. She saved a total of $6 from Monday to Friday. How much money did she save on Monday? </li></ul>$4
    20. 21. Singapore Primary School Leaving Exam, Grade 6 <ul><li>Berm and Mei saved B800 altogether. </li></ul><ul><li>A quarter of Berm’s savings was B65 more than a fifth of Mei’s savings. How much was Berm’s savings? </li></ul>
    21. 22. Berm and Mei saved B800 altogether. A quarter of Berm’ s savings was B65 more than a fifth of Mei’s savings. How much was Berm’s savings? Singapore Primary School Leaving Exam, Grade 6 (Problem Solving)
    22. 23. In Figure 1, Tank A is completely filled with water and Tank B is empty. Water is poured from Tank A into Tank B without spilling. The heights of the water level in the two tanks are now equal as shown in Figure 2. What is the height of the water level in Tank A in Figure 2? Singapore Primary School Leaving Exam, Grade 6 (Problem Solving)
    23. 25.  blue: shared topics;  magenta: A+ countries’ topics;  : Focal Points topics Mathematics Topics Intended at Each Grade: Top performing countries compared with Focal Points
    24. 26. Resources <ul><li>Rethinking Human Capital in Education: Singapore as a Model for </li></ul><ul><li>Teacher Development - www.aspeninstitute.org/policy-work/education- </li></ul><ul><li> society/program-publications </li></ul><ul><li>The website, www.singaporemath.com , offers the following resources: </li></ul><ul><li>Singapore Primary Mathematics, U.S. ed., </li></ul><ul><li>Elementary Mathematics for Teachers, </li></ul><ul><li>Elementary Geometry for Teachers, </li></ul><ul><li>Singapore Ministry of Education’s The Model Method, and </li></ul><ul><li>various high school texts </li></ul><ul><li>A site to practice the model method: www.thesingaporemaths.com/ </li></ul><ul><li>Singapore Ministry of Education primary education curriculum: </li></ul><ul><li>www.moe.gov.sg/education/primary/curriculum/ </li></ul><ul><li>Singapore Ministry of Education secondary education: </li></ul><ul><li>www.moe.gov.sg/education/secondary/ </li></ul><ul><li>Singapore MOE subject syllabi: </li></ul><ul><li>www.moe.gov.sg/education/syllabuses/sciences/ </li></ul>

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