EDU510 : Teaching of Mathematics

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Course Info

Course Category

Humanities Distribution

Course Level

Undergraduate

Credit Hours

3

Pre-requisites

N/A

Instructor

Sagheer Ahmad
MPhil

Course Contents

1 Aims of Teaching Mathematics 2 Educational values of Mathematics 3 Place and Functions of Mathematics 4 Mathematics in Everyday Life 5 Mathematics in Profession 6 Mathematics in Other Branches of Knowledge 7 Mathematical Equipment (Algebra & Numeracy) 8 Mathematical Equipment (Geometry) 9 Preparation of AV Aids (Projected) 10 Preparation of AV Aids (Non Projected) 11 Use of AV Aids in Teaching Mathematics 12 Mathematics Curriculum and Overview 13 Theorems of Mathematics Curriculum 14 Standards of Mathematics Curriculum 15 Benchmarks of Mathematics Curriculum 16 Student Learning Outcomes 17 Role of Teacher in Teaching Mathematics (Need and Importance) 18 Role of Teacher in Teaching Mathematics (A Planner) 19 Role of Teacher in Teaching Mathematics (An Organizer) 20 Role of Teacher in Teaching Mathematics (An Encourager) 21 Role of Teacher in Teaching Mathematics (A Negotiator) 22 Role of Teacher in Teaching Mathematics (A Mediator) 23 Effective Teaching Strategies in Mathematics 24 Investigation Method of Teaching Mathematics 25 Investigation Method in Mathematics 26 Lecture Discussion Method in Mathematics 27 Examples of Lecture Method in Mathematics 28 Problem Solving Method of Teaching Mathematics 29 Example Problem Solving Method of Teaching Mathematics 30 Inductive and Deductive Method in Teaching 31 Inductive and Deductive Method in Mathematics 32 Inductive and Deductive Method in Mathematics 33 Examples Deductive Method in Mathematics 34 Discovery Method in Mathematics 35 Illustration Discovery Method in Mathematics 36 Heuristic Method in Mathematics 37 Example of Heuristic Method in Mathematics 38 Analytic Synthetic Method in Mathematics 39 Analytic Synthetic Method in Mathematics 40 Example Analytical Method in Mathematics 41 Example Analytical Method in Mathematics 42 Dogmatic Method of Teaching Mathematics 43 Laboratory Method of Teaching Mathematics 44 Example of Laboratory Method of Teaching Mathematics 45 Project Method of Teaching Mathematics 46 Project Method of Teaching Mathematics 47 Examples Project Method of Teaching Mathematics 48 Cooperative and Collaborative Learning of Mathematics 49 Cooperative and Collaborative Learning of Mathematics 50 Models of Cooperative and Collaborative Learning in Mathematics 51 Jigsaw Method of Teaching Mathematics 52 Example of Jigsaw Method of Teaching Mathematics 53 Think Pair Share Method of Teaching Mathematics 54 Examples of Think Pair Share Method of Teaching Mathematics 55 Time Distribution in Mathematics 56 Assessment in Mathematics 57 Focus of Assessment in Mathematics 58 Types of Assessment in Mathematics 59 Evaluation and Testing in Mathematics 60 Tests in Mathematics 61 Types of Tests in Mathematics 62 Examples of Tests in Mathematics 63 Traditional Examination in Mathematics 64 Instructions for Mathematics Assessment 65 Unit Wise weightage in Mathematics Assessment 66 Illustration of Unit Wise weightage in Mathematics Assessment 67 Topic Wise Development in Mathematics 68 Lesson Planning in Mathematics 69 Steps of Lesson Planning in Mathematics 70 Six step Lesson Plan in Mathematics 71 Writing Lesson Plan (Template) in Mathematics 72 Examples of Writing Lesson Plan (Set, Union, Intersection) 73 Examples of Writing Lesson Plan (Sets DE morgen’s Law) 74 Examples of Writing Lesson Plan (Angle, Geometry) 75 Examples of Writing Lesson Plan (Tangent of Circle Geometry) 76 Examples of Writing Lesson Plan (Laws of Logarithm) 77 Examples of Writing Lesson Plan (Linear Equation) 78 Examples of Writing Lesson Plan (Quadratic Equation) 79 Examples of Writing Lesson Plan (Trigonometry) 80 Examples of Writing Lesson Plan (Trigonometry) 81 Problem Solving in Mathematics 82 Characteristics of good Problem 83 Examples of Good Problems for Young Children 84 Examples of Good Problems for Young Children 85 Example 01: Problem for the Beginning Stage 86 Example 02: problem for the Beginning Stage 87 Example 03: Problem for the Beginning Stage 88 Example 04: Problem for the Beginning Stage 89 Example 05: Problem for the Beginning Stage 90 Problems for the Letter Stages 91 Example 01: Problems for the Letter Stages 92 Example 02: Problems for the Letter Stages 93 Example 03: Problems for the Letter Stages 94 Example 04: Problems for the Letter Stages 95 Example 05: Problems for the Letter Stages 96 Classroom Organization for Problem Solving 97 Working in Groups on the Same Problem 98 Working in Pairs in Same Problem 99 Working in Groups, Each Group on a Different Problem 100 Concluding Remarks on Problem Solving 101 Experiences for Young Children 102 Experience for Young Children Extended 103 Planning Instruction 104 Planning Instruction Continue 105 Prenumber Activites (Classify) 106 Classifying: Early Activities 107 Classifying: Latter Activities 108 Prenumber Activities (Comparing) 109 Comparing: Early Activities 110 Comparing: Latter Activities 111 Prenumber Activities (Ordering) 112 Ordering Early Activities 1 113 Ordering Early Activities 2 114 Ordering: Latter Activities 115 Developing the Concept of Number 116 Number Awareness 117 Developing the Concept of Number (Awareness Continue) 118 Developing the Concept of Number (Awareness Continue) 119 Recognize the Spoken Name with other Spoken Word 120 Recognize the Spoken Name with other Spoken Word: Knowledge of Twoness and Threeness 121 Recognize the Spoken Name with other Spoken Word: Changing Sets from One to Two to Three to Four 122 Recognize the Spoken Name with other Spoken Word: Idea of Set Having No Number 123 Recognize the Spoken Name with other Spoken Word: Teaching Numbers Greater Than Four to Soon 124 Recognize the Spoken Name with other Spoken Word: Sets of Five as Element Set 125 Concepts Fundamental to Our Numeration System 126 Example Numeration System 127 Recognize the Spoken Name with other Spoken Word: Number 6-10 128 Number & Numeration: Early Stages with Number 129 Example Early Stages with Number 130 Activities for Number 0-10 131 Activities for Number Objectives 132 Matching Sets and Numbers 0 -10 133 Matching Sets and Numbers 0 -10 Corresponding 134 Activities Help a Child Distinguish Number from Size 135 Show Me: Numeral Cards 136 Show Me: Numeral Cards Continue 137 Comparing, Ordering and Ordinal Number 138 Reproducing Symbols 139 Recognize Sets Two through Five without Counting 140 Example: Recognize Sets Two through Five without Counting 141 Separating Sets into Subsets and Naming in Numbers 142 Separating Sets into Subsets 143 Numeration 144 Major Components of Numeration 145 A Sequence of Learning Two Digit Numerals 146 Unit 1: Grouping Once and Naming the Groups 147 Grouping Once and Naming the Groups: Grouping by Tens 148 Grouping by Tenses Experiences 149 Unit 2: Oral Number Names for Tens and Ones 150 Name for Tenses and Ones 151 Comments on the Sequence for Two-Digit Numerals 152 Sequence for Two-Digit Numerals 153 Order 154 Comparing Three Tens and 5 Tens 155 Estimation and Approximation 156 Estimation and Approximation Continue 157 Operations on Whole Number 158 Properties to Develop Operations and their Properties via Lesson Plan 159 Idea for Addition, Subtraction and Multiplication of Whole Number 160 Properties of the Operation on the Multiplication 161 Properties for Operation of Multiplication 162 Division Operation on Whole Number 163 Process to Develop Division Operation on Whole Number 164 Addition and Subtraction with One Digit Addends 165 Procedure and Sequence for Addition 166 Meaning of Set Sequence for Addition 167 Sequence suggested for Addition 168 Understanding Sequence for Addition 169 Procedure and Sequence for Subtraction 170 Sequence for Subtraction 171 Teaching Related Facts: Addition & Subtraction 172 Teacher Related Facts 173 Teacher Activities While Student Working on Addition & Subtraction 174 Teacher Responsibilities Concerning Addition and Subtraction 175 Using the Associative Property of Addition 176 Sequence for Associative Property of Addition 177 Using Partitions for Sums of 11-18 178 Learning Addition and Subtraction Facts 179 Games that Provide Practice for Addition and Subtraction 180 Practice Games for Addition and Subtraction 181 Games that Provide Practice for Multiplication 182 Fractional Numbers 183 Fraction Number Explanation 184 Concrete Models and Activities for Fractional Number 185 Sequence for Learning Fractions 186 Learning Activities for Fractional Numbers (unit) 187 Identifying More or Less than a Unit 188 Part of Unit Using Concrete Materials 189 Identifying and Equal Sizes Piece 190 Oral Name for Parts of Unit 191 Using Fractions to Answer “How Much’ 192 Written Fractions for Parts of Unit 193 Facts for Part of Unit 194 Fractional Understanding with Demonstration 195 Representing Fractions with Drawing 196 Extending Notions of Fraction 197 Extending Notions of Fraction (Example 1) 198 Extending Notions of Fraction (Example 2) 199 Notions of Fraction (Example 2) 200 Mathematics Promotion in Early Years 201 Importance Of Right Approach 202 Resources to Improve Mathematical Understanding 203 Numbers to Improve Mathematical Understanding 204 Colour to Improve Mathematical Understanding 205 Outdoor Activates to Improve Mathematical Understanding 206 Why Students Struggle with Math? 207 Basic Concepts are not Clear 208 Method of Teaching 209 Lack of Practice 210 Attention Disorder and ADHD 211 Need and Importance of Motivation for Learning Mathematics 212 Encourage Students with Positive Feedback 213 Promote Growth Mind-set In Students 214 Offering Rewards and Celebrate Achievements 215 Introduce New Learning Styles 216 Allow Students to Work as a Team 217 Techniques to Overcome Mathematics Difficulties 218 Help Them Understand the Why 219 Make it Positive Experience 220 Encourage Thinking Out Loud 221 Difficulties faced by Early Childhood Teachers 222 Difficulties at Planning Stages 223 Difficulties in Implementing Classroom Mathematical Activities 224 Difficulties Concerning Implementing Classroom Activities 225 Classroom Activities Implementation Difficulties 226 Difficulties in Class MATHEMATICAL Activity Evaluation Process 227 Difficulties at Planning Stage Outside of Classroom 228 Difficulties at Implementing Stage Outside of Classroom 229 Difficulties at Evaluation Stage Outside of Classroom 230 Difficulties Expereinced due to Family Involvement 231 Child Development Theories 232 Learning Theories 233 Erikson’s Psychosocial Development Theory 234 Behavioural Child Development Theory 235 Piaget’s Cognitive Development Theory 236 Piaget’s Stages of Development 237 Bowlby’s Attachment Theory 238 Bandura Social Development Theory 239 Vygotsky’s Sociocultural Theory 240 Maria Montessori Theory of Early Childhood 241 Montessori Idea of Conducive Learning 242 Conducive Learning Continue 243 Childhood Assessment 244 Importance of Childhood Assessment 245 Different Child Assessment Method 246 Assessment System 247 Implement Assessment in Program 248 Assessment Cycle