yp seminar maths
DESCRIPTION
mathsTRANSCRIPT
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Mathematical Concepts & Skills
in Primary 1 Mathematics
Yeap Ban Har
National Institute of Education
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Singapore Mathematics
Curriculum
What is the Focus?
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Mathematics Curriculum 2007
Mathematical Problem Solving
Attitu
des
Metacognition
Pro
cess
es
Concepts
Skills
NumericalAlgebraic
GeometricalStatistical
ProbabilisticAnalytical
Reasoning, communication & connectionsThinking skills & heuristicsApplication & modelling
Numerical calculationAlgebraic manipulation
Spatial visualizationData analysisMeasurement
Use of mathematical toolsEstimation
Monitoring of ones own thinkingSelf-regulation of learning
BeliefsInterest
AppreciationConfidence
Perseverance
Mathematical Problem Solving
Attitu
des
Metacognition
Pro
cess
es
Concepts
Skills
Mathematical Problem Solving
Attitu
des
Metacognition
Pro
cess
es
Concepts
Skills
NumericalAlgebraic
GeometricalStatistical
ProbabilisticAnalytical
Reasoning, communication & connectionsThinking skills & heuristicsApplication & modelling
Numerical calculationAlgebraic manipulation
Spatial visualizationData analysisMeasurement
Use of mathematical toolsEstimation
Monitoring of ones own thinkingSelf-regulation of learning
BeliefsInterest
AppreciationConfidence
Perseverance
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Singapore Mathematics Curriculum focuses on
mathematical problem solving.
Primary 1 children solving a problem based on addition of three
one-digit numbers .
Princess Elizabeth Primary School
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The Problem
Put numbers 1 to 5 in this
arrangement so that the
vertical total is the same as
the horizontal total.
Do it for 2 to 6.
Predict the total for 3 to 7.
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The Solution
Children, later, made predictions for the case of using 3 to 7.
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VisualizationVisualizationVisualizationVisualization
PatternsPatternsPatternsPatterns
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It is recognized that mathematics is
an excellent vehicle for the
development and improvement of a
persons intellectual competence
in logical reasoning, spatial
visualization, analysis and abstract
thoughtMinistry of Education Singapore 2006
Wellington Primary School
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What Children Learn?
What are the Basics?
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Counting
3 and 2 make 5
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Connection
Connection is the goal.
Counting, adding and multiplying are
vehicles to achieve the goal.
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Regrouping
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An Example
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An Example
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Visualization
Visualization is the goal.
Mathematics is just a vehicle to
achieve the goal.
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Word Problems
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Communication
Communication is the goal.
Word problems are just vehicles to
achieve the goal.
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How Children Learn?
Schools use a variety of strategies to
engage children better.
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Children learn in a relaxed environment.
St Anthonys Cannosian Primary School
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Children learn in a structured environment.
St Anthonys Cannosian Primary School
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Children learn in a social environment.
National Institute of Education
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Children learn to be independent.
Catholic High School (Primary)
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Children learn to work with people.
Wellington Primary School
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Children learn through concrete materials before
proceeding to pictorial and abstract
representations.
Princess Elizabeth Primary School
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10 5 = 2
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Teachers are trained to teach in these ways.
National Institute of Education
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If you have questions about mathematics learning, please send your questions to [email protected]. The replies will be posted on www.askyeapbanhar.blogspot.com
www.askyeapbanhar.blogspot.com is a platform to help parents and international teachers understand the way mathematics is taught in Singapore schools. Parents may want to visit this blog regularly to read the replies to questions asked by other people.
www.singaporemathz4kidz.blogspot.com is on more general issues connected with mathematics education.
www.banhar.blogspot.com contains the reflection of the courses taught throughout the year and a glimpse into the activities used in these courses.
www.singaporelessonstudy.blogspot.com is on lesson study in Singapore schools and information related to lesson study.
math.nie.edu.sg/T3 is the website for the Think-Things-Through Project.