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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 Singapore Math Presentation Transcript

  • 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]
    • Survival-Driven Education (1959-1978)
    • Mass Education for all- 3rd grade literacy average
    • Merged language schools into national system.
    • Bilingual policy for all schools-English and Mother Tongue
    • Vocational and technical institutions started
    • Efficiency-Driven Education (1979-1996)
    • Ability-based streaming begun
    • Recognition of independent schools and autonomous schools
    • Merger of Singapore University and the National University
    • Ability-Driven Education (1997-present)
    • Flexibility and diversity.
    • Top-down support for ground-up initiatives.
    • Nurturing every child: developing further peaks of excellence in different areas, including the arts and sports
    • Mottos: “Thinking Schools, Learning Nation” “Teach Less, Learn More”
    Education System Development
    • Mission : “To mould the future of the nation…”
      • “ Imbued with values, able to live in society, prepared for work and open to growth throughout their lives”
    • System Data
      • Budget of S$6.5 billion—3.5% of GDP (USA: 5.9% of GDP)
      • 535,000 students, 28,000 teachers, 360 schools
    • Structure
      • Preschool PK1-2, K1-2 from ages 3-6 (Private)
      • Primary school for grades 1-6
      • Secondary school for 4-5 years
      • Postsecondary options
    Current Education System
  • International Benchmarking                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
  • Focus on Students and Teachers
    • Focus on every student as a national resource
      • Do whatever it takes to help students succeed
      • Learning Support System in Grade One in English and/or math based on entry skills
      • Fewer than 1% in special ed schools, rest mainstreamed with assistance
    • Selective Teacher Entry, Continuous Learning
      • Selected from top third of graduating class
      • Mentored for first five years of teaching with mentors prepared by NIE
      • On-going professional development-100 hours per year
      • Choice of three career paths: master teacher, content specialist, or leadership (principal)
  • Lessons from Singapore
    • Teachers as professionals
      • Work to get the job done—7:00am-5:00pm includes teaching, planning, tutoring and co/extra-curricular activities
    • Alignment of standards, curriculum, professional development and assessment
    • Resource allocation ensures students’ needs met
      • Opportunity funds at each school
    • Alignment of primary, secondary, postsecondary ad universities through single ministry
      • Teacher and postsecondary student places based on manpower needs
      • ITEs work closely with industry
      • Leadership development based on needs
  • Lessons from Singapore
    • Systematic approach to instruction
      • Benchmark against high performing nations
      • Systematic approach to low performance
      • Connection of efforts across system
    • Holistic approach to educating students
      • Affective and cognitive domains stressed
      • Taught to use “Hearts, Minds and Heads”
    • Commitment to continuous improvement
      • Identification of best practices
      • Benchmarking
      • Research into what other systems are doing
  • TIMSS 2003
  • Mathematics Topics Intended at Each Grade: Top performing countries in TIMSS 1995 From Schmidt et al.: ustimss.msu.edu
  • Mathematics Topics Intended at Each Grade: U.S. States Adapted from Schmidt et al.
  •  
  • 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
  • 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?
  • Sample Problem: VA, Grade 4
    • 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?
    • 4/4 yard
    • 6/8 yard
    • 5/12 yard
    • 2/6 yard
  • Sample Problem: MA, Grade 6
    • Carrie’s rectangular garden has the dimensions shown above.
    • What is the area, in square feet, of the garden? Show your work.
    • 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.
    • 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.
    10 feet 14 feet
  • Singapore Primary School Leaving Exam, Grade 6 (Basic and Routine)
    • 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?
    • 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?
    Singapore Primary School Leaving Exam, Grade 6 (Problem Solving)
    • 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?
    Singapore Primary School Leaving Exam, Grade 6 (Problem Solving)
    • 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?
    Total = $6
    • 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?
    $4
  • Singapore Primary School Leaving Exam, Grade 6
    • 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?
  • 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)
  • 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)
  •  
  •  blue: shared topics;  magenta: A+ countries’ topics;  : Focal Points topics Mathematics Topics Intended at Each Grade: Top performing countries compared with Focal Points
  • Resources
    • Rethinking Human Capital in Education: Singapore as a Model for
    • Teacher Development - www.aspeninstitute.org/policy-work/education-
    • society/program-publications
    • The website, www.singaporemath.com , offers the following resources:
    • Singapore Primary Mathematics, U.S. ed.,
    • Elementary Mathematics for Teachers,
    • Elementary Geometry for Teachers,
    • Singapore Ministry of Education’s The Model Method, and
    • various high school texts
    • A site to practice the model method: www.thesingaporemaths.com/
    • Singapore Ministry of Education primary education curriculum:
    • www.moe.gov.sg/education/primary/curriculum/
    • Singapore Ministry of Education secondary education:
    • www.moe.gov.sg/education/secondary/
    • Singapore MOE subject syllabi:
    • www.moe.gov.sg/education/syllabuses/sciences/