New Syllabus Mathematics 7th Edition Launch
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Transcript of New Syllabus Mathematics 7th Edition Launch
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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
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Outline Trends in Assessment
Mathematical Modelling Teaching Through Problem Solving
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Trends in AssessmentProgramme for International Student
Assessment (PISA)
www.pisa.oecd.org
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Trends in Assessment: Looking into the Crystal Ball
• More real-life context• More formulation of situations prior to
solving• More communication
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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.
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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.
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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.
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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
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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
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Try It!Develop a mathematical model to predict
the winning time for the men’s 200m race at the London Olympics.
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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.
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Teaching Through Problem SolvingThree-Part Mathematics Lessons
Problem Solving Guided Practice Independent
Practice
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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?
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Problem Solving Guided Practice Independent
Practice
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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.
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Problem Solving Guided Practice Independent
Practice
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Problem Solving Guided Practice Independent
Practice
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Teaching Through Problem SolvingThree-Part Mathematics Lessons
Problem Solving Guided Practice Independent
Practice
Secondary 1 Sum of Interior Angles of a Polygon
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Teaching Through Problem SolvingThree-Part Mathematics Lessons
Problem Solving Guided Practice Independent
Practice
Secondary 3 Angle Properties of Circles
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Some Trends in Mathematics Education & Implications for Instruction and
Assessment| Dr Yeap Ban Har
Slides are available at www.banhar.blogspot.com