teaching of fractions day 1
DESCRIPTION
MAP202 This is a 12-hour course spread over two days.TRANSCRIPT
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where mindsets are changedknowledge is constructedand the capacity to learn, enhanced
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F R A CT I O N in singapore
m a t hDr Yeap Ban HarMarshall Cavendish Institute [email protected]
Slides are available at www.banhar.blogspot.com
Hall County SchoolsGainesville, GeorgiaFebruary 2012
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F R A CT I O N in singapore
m a t hAgendaMAP202 Teaching of Fractions20 & 21 February 2012MAP111 Bar Model Method in Primary Mathematics21 February 2012 The course book for MAP101 Fundamentals in Singapore Mathematics Curriculum is given as a reference.
Slides are available at www.banhar.blogspot.com
Hall County SchoolsFebruary 2012
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Day 1 Agenda0800 – 1100 • Introduction• Fundamental Ideas in Fractions• Revisiting the Basics of Singapore Math
1200 – 1530 • Division of Fractions
Day 2 Agenda0800 – 1100 • Review
• Other Fraction Ideas & Multiplication of Fractions• Revisiting the Basics of Singapore Math
1200 – 1530 • Bar Model Method Across Topics
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Singapore Ministry of Education 1997
THINKING SCHOOLSLEARNING NATION
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Singapore Ministry of Education 2006
“Mathematics is an excellent vehicle for the development
and improvement of a person’s intellectual competencies”
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21st Century Competencies FrameworkSingapore Ministry of Education 2011
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MAP201 TEACHING OF FRACTIONSincorporating fundamentals of singapore math
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F R A CT I O N the C P Aapproach
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F R A CT I O N the C P Aapproach
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F R A CT I O N mathematical
variability
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F R A CT I O N conceptualapproach
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F R A CT I O N teaching for
meaning3 fourths 3
4
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St Edward’s School, Florida
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St Edward’s School, Florida
Grade 2concrete pictorial abstract
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It does not show half. What does it
show then?
It does not show fourth. What does it
show then?
F R A CT I O N opportunities for differentiation
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Singapore Examination & Assessment BoardPrimary School Leaving Examination
1 fourth
4 eighteenths
+ 8 36
9 36
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We discussed the three-part lesson plan comprising whole-class problem solving, supported small-group consolidation and individual consolidation using workbook. In Singapore, teacher supplement textbooks and workbook materials with further problem solving or further basic practice depending on student needs
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F R A CT I O N spiralapproach
fourth as a noun
3 fourths3 pieces3 pencils
3 fifths + 1 fifth
3 fifths + 1 tenth
3 fifths + 9 tenths
3 fifths + 1 half
Primary 2
Primary 3
Primary 4
Primary 5
We discussed the importance of fundamentals ideas such as knowing that we count objects in a set and we do not count, add or subtract quantities with different unit.
There is also an emphasis on the idea of fifths as a noun.
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Lim Siong GuanHead, Civil Service
Singapore
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We discussed teaching mathematics versus
teaching the ability to learn mathematics.
We discussed visualization, looking for patterns and number sense. Also we discussed generic competencies
including communication, metacognition and collaboration.