where mindsets are changedknowledge is constructedand the capacity to learn, enhanced

F R A CT I O N in singapore

m a t hDr Yeap Ban HarMarshall Cavendish Institute Singaporeyeapbanhar@gmail.com

Slides are available at www.banhar.blogspot.com

Hall County SchoolsGainesville, GeorgiaFebruary 2012

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

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

Singapore Ministry of Education 1997

THINKING SCHOOLSLEARNING NATION

Singapore Ministry of Education 2006

“Mathematics is an excellent vehicle for the development

and improvement of a person’s intellectual competencies”

21st Century Competencies FrameworkSingapore Ministry of Education 2011

MAP201 TEACHING OF FRACTIONSincorporating fundamentals of singapore math

F R A CT I O N the C P Aapproach

F R A CT I O N the C P Aapproach

F R A CT I O N mathematical

variability

F R A CT I O N conceptualapproach

F R A CT I O N teaching for

meaning3 fourths 3

4

St Edward’s School, Florida

St Edward’s School, Florida

Grade 2concrete pictorial abstract

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

Singapore Examination & Assessment BoardPrimary School Leaving Examination

1 fourth

4 eighteenths

+ 8 36

9 36

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

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.

Lim Siong GuanHead, Civil Service

Singapore

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.