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This lecture was given at the launch of the new edition of the New Syllabus Mathematics series. The Secondary 1 books for Express and Nornal (Academic) as well as the Additional Mathematics books will be used from 2013.
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Some Trends in Mathematics Education & Implications for Instruction and
Assessment| Dr Yeap Ban Har
ConsultantNew Syllabus Mathematics Series
www.banhar.blogspot.com
Outline Trends in Assessment
Mathematical Modelling Teaching Through Problem Solving
Trends in AssessmentProgramme for International Student
Assessment (PISA)
www.pisa.oecd.org
Trends in Assessment: Looking into the Crystal Ball
• More real-life context• More formulation of situations prior to
solving• More communication
ExampleStraits Times July 20, 2012
“The research ranks the preschool environment in 45 countries. Singapore ranks 29th, …”
How to compare preschool environments? Variables
IndexFinland has a good
preschool environment. Singapore does not.
ExampleStraits Times July 20, 2012
“The research ranks the preschool environment in 45 countries. Singapore ranks 29th, …”
How to compare preschool environments? Variables
IndexFinland has a good
preschool environment. Singapore does not.
Variables & WeightAvailability 25%
Affordability 25%Quality 45%
Social Context 5%
How to compare preschool environments? Variables
IndexFinland has a good
preschool environment. Singapore does not.
ExampleStraits Times July 20, 2012
“The median gross monthly preschool teacher wage ($1,840) was just 63 per cent of Singapore’s overall
median gross wage ($2,925) last year.”
How are pre-school teachers paid? Median
63%Pre-school teachers are poorly paid in
Singapore
ExampleStraits Times July 20, 2012
“The median gross monthly preschool teacher wage ($1,840) was just 63 per cent of Singapore’s overall
median gross wage ($2,925) last year.”
How are pre-school teachers paid? Median
63%Pre-school teachers are poorly paid in
Singapore
Try It!Develop a mathematical model to predict
the winning time for the men’s 200m race at the London Olympics.
Trends in Assessment: Suggestions for Instruction
• Provide extended mathematical modelling experience once a term
which can be part of continual assessment
• Assess sub-skills of mathematical modelling in written examination
• A balanced approach that emphasised both formulating, solving and
interpreting.
Teaching Through Problem SolvingThree-Part Mathematics Lessons
Problem Solving Guided Practice Independent
Practice
Problem Solving Guided Practice Independent
Practice
Use the play dough to make a cuboid.Cut it into two identical prisms.
What is the volume of each prism?
Problem Solving Guided Practice Independent
Practice
Problem 11.258 20th July 2012
Use the play dough to make a cuboid.Cut it into two identical prisms.
What is the volume of each prism?Method 1
Its volume is half that the corresponding cuboid.
Method 2
Its volume is the product of cross-section area and height.
Problem Solving Guided Practice Independent
Practice
Problem Solving Guided Practice Independent
Practice
Teaching Through Problem SolvingThree-Part Mathematics Lessons
Problem Solving Guided Practice Independent
Practice
Secondary 1 Sum of Interior Angles of a Polygon
Teaching Through Problem SolvingThree-Part Mathematics Lessons
Problem Solving Guided Practice Independent
Practice
Secondary 3 Angle Properties of Circles
Some Trends in Mathematics Education & Implications for Instruction and
Assessment| Dr Yeap Ban Har
Slides are available at www.banhar.blogspot.com
