Overview
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Course Contents

Unit 1 Anticipated Student Misconceptions ● Emergent o Mathematical Thinking o The Value of Student Errors Unit 2 Learning Mathematics with Manipulatives & Visual Aids • Mathematical Problem Solving Strategies • Mathematical Discourse: Learning by Talking • Seeing Connections between Units of the National Curriculum Unit 3 Cognitive Demand of Mathematical Tasks • The Balance Between Concepts & Skills, The Role of Drill & • Practice • Multiple Representations for a Single Mathematical Idea • Mathematical Learning Styles and Modalities, Mathematics & Multiple Intelligence Theory • Learning Mathematics by Writing • Precision in Mathematical Unit 4 Learning Mathematics with Available Technology ● Introduction and/or Review of Seminal Thinkers in Mathematics & Mathematics Education o Introduction and/or Review of Seminal Islamic Thinkers in Mathematics & Mathematics Education

Course Synopsis

This course will equip prospective teachers with the knowledge and skills to teach math in grades 1 through 8. They will become familiar with Pakistan’s National Mathematics Curriculum and expected student learning outcomes. Prospective teachers will learn to use a variety of instructional methods that promote active learning of math, including making and using teaching and learning materials. They will plan mathematics lessons and activities, and engage in practice teaching of math.

Course Learning Outcomes

Student Teachers will be able to: • demonstrate a deep understanding of key mathematical concepts in Pakistan’s National Curriculum for mathematics in elementary grades • identify and assess areas of youngsters’ understanding and misconceptions to inform their teaching practices • begin using the pedagogical skills and competencies required to teach mathematics in elementary grades • describe the nature, history, and development of mathematics education in Pakistan and internationally.


Course Syllabus and Guide

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Week 7: topic: Adding Fractions with Different Denominators

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Aims of Teaching Mathematics

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Week 8: topic: Fraction (Follow up week)

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Week 8: Equivalence Fraction (Follow up week)

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week 13: topic: Empirical relation b/w Mean, Median and Mode

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week 14: topic:Merits and demerits of Mean

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week 14: topic:Merits and demerits of Median

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week 14: topic:Merits and demerits of Mode

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week 13: topic:Symmetry

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week 13: topic:types of symmetry

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week 13: Symmetrical distribution and Skewness

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week 9: topic: Geometric ratio

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week 9: Direct ratio/ Variation

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week 11: topic: Pie chart

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week 9: topic: • Inverse ratio/ Indirect Variation

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week 10: topic: proportion

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week 10: topic: proportion terms/ word problems

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Week 8: topic: Types of fractions (Follow up week)

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week 1: Sets

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Week 1: Prime and composite numbers

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Week 1 :• Factors and Multiples

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Week 2: Division of whole numbers

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week 3: Prime factorization

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week 3: Prime factorization

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week 3: Greatest Common Factor

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Week 4: Operation with fraction- I (LCM)

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Week 5: Operation with fraction- II (Rules of addition and subtraction)

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Week 5: Operation with fraction- II (Division and multiplication)

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week 6: Fraction & Decimal

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Week 6: Percents

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week 7 : Converting between fractions, decimals and percentages

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week 11: Proportional thinking

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week 12: Linear functions

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week 12: Simultaneous linear equation

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Week 15: topic Volume and surface area

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week 16: Measurement and precision

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Week 16 : Estimation and large numbers

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Sem IV Complete notes

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Book Title : Funny & Fabulous Fraction Stories: 30 Reproducible Math Tales and Problems to Reinforce Important Fraction Skills
Author : Dan Greenberg
Edition : 1
Publisher : Scholastic
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Book Title : The really useful maths book: A guide to interactive teaching.
Author : Brown, T., & Liebling, H. (2004).
Edition : 2
Publisher : Routledge. Presbyterian Publishing Corp.
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Book Title : Interactive Maths Teaching in the Primary School (2006)
Author : Nick Pratt - 2006
Edition : 1
Publisher : Sage: Paul Chapman Publishing
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Title : Week 1: • Demerits of Mode
Type : Curriculum Book

View Week 1: • Demerits of Mode


Title : Week 1: • Merits and demerits of Mean
Type : Curriculum Book

View Week 1: • Merits and demerits of Mean


Title : Week 1: Empirical relation b/w Mean, Median and Mode
Type : Curriculum Book

View Week 1: Empirical relation b/w Mean, Median and Mode


Title : Week 1: • Merits and demerits of Mode
Type : Curriculum Book

View Week 1: • Merits and demerits of Mode


Title : Week 1: • Merits of Mode
Type : Curriculum Book

View Week 1: • Merits of Mode


Title : Week 2: • Define Symmetry
Type : Other

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Title : Week 2: • types of Symmetry
Type : Other

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Title : Week 2: • types of Symmetry/ Reflection Symmetry
Type : Other

View Week 2: • types of Symmetry/ Reflection Symmetry


Title : Week 2: • types of Symmetry/ Rational Symmetry
Type : Other

View Week 2: • types of Symmetry/ Rational Symmetry


Title : Week 2: • types of Symmetry/ Point Symmetry
Type : Other

View Week 2: • types of Symmetry/ Point Symmetry


Title : Week 2: • Symmetrical distribution
Type : Curriculum Book

View Week 2: • Symmetrical distribution


Title : Week 3: Geometric ratio
Type : Other

View Week 3: Geometric ratio


Title : Week 3: Direct and Inverse ratio
Type : Other

View Week 3: Direct and Inverse ratio


Title : Week 3: Direct and Inverse ratio related numericals
Type : Other

View Week 3: Direct and Inverse ratio related numericals


Title : week 4: topic Proportion
Type : Other

View week 4: topic Proportion


Title : week 4: topic Proportion related numerical
Type : Other

View week 4: topic Proportion related numerical


Title : week 4: topic Proportion related numerical
Type : Other

View week 4: topic Proportion related numerical


Title : week 4: topic Proportion related numerical
Type : Other

View week 4: topic Proportion related numerical


Title : week 5 : Fraction operation-I
Type : Other

View week 5 : Fraction operation-I


Title : week 5 : Fraction
Type : Other

View week 5 : Fraction


Title : week 5 : Fraction and its types
Type : Other

View week 5 : Fraction and its types


Title : week 5 : Types of fraction
Type : Other

View week 5 : Types of fraction


Title : week 5 : Equivalent Fraction
Type : Other

View week 5 : Equivalent Fraction


Title : week 4: topic Ratio & Proportion
Type : Presentation

View week 4: topic Ratio & Proportion