Course Overview
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Course Synopsis
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This course is designed to give the prospective teacher an overview of the scope and sequence of mathematics instruction in the secondary school. This course will help learners in developing problem solving skills, improving the learner''''''''''''''''''''''''''''''''s ability to reason mathematically, communicate effectively and make connections between different branches of science and mathematics.
This course will enable prospective teachers to use variety of instructional strategies such as guided discovery, teacher-led whole-class discussion, the use of manipulative, power points, SMART boards, calculators and computers, and the use of the textbook and other materials in the classroom to teach the subject of mathematics.
Guidelines for using cooperative learning groups will be discussed and practiced. Internet and library resources will be examined. The course is based on knowledge of theories of learning and instruction, including relevant research; knowledge of psychological concepts such as readiness and motivation. The course will also emphasize the increased use of technology in teaching of mathematics classroom.
This mathematics course is designed to give the student an insight into the nature of mathematics, to acquaint students with some of its fundamental principles, and to emphasize the cultural values of the arts and sciences. Each mathematics course emphasizes critical thinking, problem solving, and the ability to communicate basic concepts orally and in writing. This course serves the above mentioned purpose. Alternative forms of assessment will be discussed and modeled. A number of enrichment activities will be evaluated.
Here is some more information about this subject and its assessment.
Total Credit Hours = 3
Total Quizzes = 4
Total Assignments = 3
The grading scheme of this course is given under
Quizzes (4) = 5 Marks
Assignments (3) = 15 Marks
Mid Term = 35 Marks
Final Term = 45 Marks
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Course Learning Outcomes
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After completing this course: Prospective teachers will be able;
- 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
- Use appropriate mathematical concepts and skills to solve problems in both familiar and unfamiliar situations including those in real-life contexts
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Course Calendar
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Week 01
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1
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Aims of Teaching Mathematics
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2
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Educational Value of Mathematics
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3
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Place and Function of Mathematics
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4
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Mathematics in Everyday Life
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5
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Mathematics in Professions
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6
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Mathematics in Other Branches of Knowledge
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7
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Mathematical Equipment (Numeracy, Algebra)
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8
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Mathematical Equipment (Geometry)
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9
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Preparation of AV-aids(Projected)
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10
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Preparation of AV-aids(Non Projected)
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11
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Use of AV Aids in Teaching Mathematics
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12
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Mathematics Curriculum and Overview
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13
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Theorems of Mathematics Curriculum
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14
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Standards of Mathematics Curriculum
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15
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Benchmarks of Mathematics Curriculum
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Quiz 1
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16
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Student Learning Outcomes
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Week 02
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17
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Role of Teacher in Teaching Mathematics (Need and Importance)
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18
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Role of Teacher in Teaching Mathematics (A Planner)
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19
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Role of Teacher in Teaching Mathematics (An Organizer)
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20
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Role of Teacher in Teaching Mathematics (An Encourager)
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21
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Role of Teacher in Teaching Mathematics (A Negotiator)
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22
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Role of Teacher in Teaching Mathematics (A Mediator)
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23
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Effective Teaching Strategies in Mathematics
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24
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Investigation Method of Teaching Mathematics
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25
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Investigation Method in Mathematics
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26
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Lecture Discussion Method in Mathematics
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27
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Examples of Lecture Method in Mathematics
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28
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Problem Solving Method of Teaching Mathematics
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29
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Example Problem Solving Method of Teaching Mathematics
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30
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Inductive and Deductive Method in Teaching
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31
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Inductive and Deductive Method in Mathematics
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32
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Inductive and Deductive Method in Mathematics 2
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33
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Examples Deductive Method in Mathematics
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34
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Discovery Method in Mathematics
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Week 03
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35
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Illustration Discovery Method in Mathematics
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36
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Heuristic Method in Mathematics
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37
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Example of Heuristic Method in Mathematics
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38
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Analytic Synthetic Method in Mathematics
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39
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Analytic Synthetic Method in Mathematics 2
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40
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Example Analytical Method in Mathematics
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Assignment 1
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41
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Example Analytical Method in Mathematics 2
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42
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Dogmatic Method of Teaching Mathematics
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43
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Laboratory Method of Teaching Mathematics
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44
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Example of Laboratory Method of Teaching Mathematics
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45
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Project Method of Teaching Mathematics
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46
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Project Method of Teaching Mathematics 2
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47
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Examples Project Method of Teaching Mathematics
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48
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Cooperative and Collaborative Learning of Mathematics
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49
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Cooperative and Collaborative Learning of Mathematics 2
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50
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Models of Cooperative and Collaborative Learning in Mathematics
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Week 04
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51
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Jigsaw Method of Teaching Mathematics
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52
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Example of Jigsaw Method of Teaching Mathematics
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53
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Think Pair Share Method of Teaching Mathematics
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54
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Examples of Think Pair Share Method of Teaching Mathematics
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55
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Time Distribution in Mathematics
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56
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Assessment in Mathematics
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57
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Focus of Assessment in Mathematics
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58
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Types of Assessment in Mathematics
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59
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Evaluation and Testing in Mathematics
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61
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Types of Tests in Mathematics
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62
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Examples of Tests in Mathematics
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63
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Traditional Examination in Mathematics
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64
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Instructions for Mathematics Assessment
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65
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Unit Wise weightage in Mathematics Assessment
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66
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Illustration of Unit Wise weightage in Mathematics Assessment
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67
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Topic Wise Development in Mathematics
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Week 05
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68
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Lesson Planning in Mathematics
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69
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Steps of Lesson Planning in Mathematics
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70
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Six step Lesson Plan in Mathematics
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Quiz 2
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71
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Writing Lesson Plan (Template) in Mathematics
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72
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Examples of Writing Lesson Plan (Set, Union, Intersection)
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73
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Examples of Writing Lesson Plan (Sets DE morgen’s Law)
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74
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Examples of Writing Lesson Plan (Angle, Geometry)
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75
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Examples of Writing Lesson Plan (Tangent of Circle Geometry)
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76
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Examples of Writing Lesson Plan (Laws of Logarithm)
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77
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Examples of Writing Lesson Plan (Linear Equation)
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78
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Examples of Writing Lesson Plan (Quadratic Equation)
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79
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Examples of Writing Lesson Plan (Trigonometry)
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80
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Examples of Writing Lesson Plan (Trigonometry) 2
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81
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Problem Solving in Mathematics
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82
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Characteristics of good Problem
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83
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Examples of Good Problems for Young Children
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Week 06
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84
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Examples of Good Problems for Young Children 2
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85
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Example 01: Problem for the Beginning Stage
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86
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Example 02: problem for the Beginning Stage
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87
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Example 03: problem for the Beginning Stage
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88
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Example 04: problem for the Beginning Stage
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89
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Example 05: problem for the Beginning Stage
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90
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Problems for the Letter Stages
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91
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Example 01: Problems for the Letter Stages
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92
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Example 02: Problems for the Letter Stages
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93
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Example 03: Problems for the Letter Stages
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94
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Example 04: Problems for the Letter Stages
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95
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Example 05: Problems for the Letter Stages
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96
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Classroom Organization for Problem Solving
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97
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Working in Groups on the Same Problem
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98
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Working in Pairs in Same Problem
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99
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Working in Groups, Each Group on a Different Problem
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Week 07
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100
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Concluding Remarks on Problem Solving
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101
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Experiences for Young Children
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102
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Experience for Young Children Extended
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104
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Planning Instruction Continue
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105
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Prenumber Activites (Classify)
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106
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Classifying: Early Activities
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107
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Classifying: Latter Activities
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108
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Prenumber Activities (Comparing)
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109
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Comparing: Early Activities
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110
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Comparing: Latter Activities
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111
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Prenumber Activities (Ordering)
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112
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Ordering Early Activities 1
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113
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Ordering Early Activities 2
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114
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Ordering: Latter Activities
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115
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Developing the Concept of Number
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Week 08
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117
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Developing the Concept of Number (Awareness Continue)
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118
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Developing the Concept of Number (Awareness Continue) 2
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119
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Recognize the Spoken Name with other Spoken Word
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120
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Recognize the Spoken Name with other Spoken Word: Knowledge of Twoness and Threeness
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121
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Recognize the Spoken Name with other Spoken Word: Changing Sets from One to Two to Three to Four
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122
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Recognize the Spoken Name with other Spoken Word: Idea of Set Having No Number
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123
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Recognize the Spoken Name with other Spoken Word: Teaching Numbers Greater Than Four to Soon
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124
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Recognize the Spoken Name with other Spoken Word: Sets of Five as Element Set
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125
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Concepts Fundamental to Our Numeration System
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126
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Example Numeration System
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127
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Recognize the Spoken Name with other Spoken Word: Number 6-10
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128
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Number & Numeration: Early Stages with Number
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129
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Example Early Stages with Number
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130
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Activities for Number 0-10
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131
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Activities for Number Objectives
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132
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Matching Sets and Numbers 0 -10
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Week 09
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133
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Matching Sets and Numbers 0 -10 Corresponding
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134
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Activities Help a Child Distinguish Number from Size
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135
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Show Me: Numeral Cards
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136
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Show Me: Numeral Cards Continue
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137
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Comparing, Ordering and Ordinal Number
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139
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Recognize Sets Two through Five without Counting
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140
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Example: Recognize Sets Two through Five without Counting
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Mid Term
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141
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Separating Sets into Subsets and Naming in Numbers
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142
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Separating Sets into Subsets
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144
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Major Components of Numeration
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145
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A Sequence of Learning Two Digit Numerals
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146
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Unit 1: Grouping Once and Naming the Groups
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147
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Grouping Once and Naming the Groups: Grouping by Tens
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148
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Grouping by Tenses Experiences
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149
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Unit 2: Oral Number Names for Tens and Ones
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Week 10
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150
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Name for Tenses and Ones
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151
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Comments on the Sequence for Two-Digit Numerals
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152
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Sequence for Two-Digit Numerals
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154
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Comparing Three Tens and 5 Tens
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155
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Estimation and Approximation
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156
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Estimation and Approximation Continue
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157
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Operations on Whole Number
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158
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Properties to Develop Operations and their Properties via Lesson Plan
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159
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Idea for Addition, Subtraction and Multiplication of Whole Number
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160
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Properties of the Operation on the Multiplication
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GDB
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161
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Properties for Operation of Multiplication
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162
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Division Operation on Whole Number
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163
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Process to Develop Division Operation on Whole Number
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164
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Addition and Subtraction with One Digit Addends
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165
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Procedure and Sequence for Addition
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166
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Meaning of Set Sequence for Addition
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Week 11
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167
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Sequence suggested for Addition
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168
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Understanding Sequence for Addition
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169
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Procedure and Sequence for Subtraction
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170
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Sequence for Subtraction
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171
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Teaching Related Facts: Addition & Subtraction
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172
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Teacher Related Facts
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173
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Teacher Activities While Student Working on Addition & Subtraction
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174
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Teacher Responsibilities Concerning Addition and Subtraction
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175
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Using the Associative Property of Addition
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176
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Sequence for Associative Property of Addition
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177
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Using Partitions for Sums of 11-18
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178
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Learning Addition and Subtraction Facts
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179
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Games that Provide Practice for Addition and Subtraction
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180
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Practice Games for Addition and Subtraction
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181
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Games that Provide Practice for Multiplication
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Week 12
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183
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Fraction Number Explanation
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184
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Concrete Models and Activities for Fractional Number
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185
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Sequence for Learning Fractions
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Quiz 3
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186
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Learning Activities for Fractional Numbers (unit)
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187
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Identifying More or Less than a Unit
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188
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Part of Unit Using Concrete Materials
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189
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Identifying and Equal Sizes Piece
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190
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Oral Name for Parts of Unit
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191
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Using Fractions to Answer “How Much’
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192
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Written Fractions for Parts of Unit
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193
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Facts for Part of Unit
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194
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Fractional Understanding with Demonstration
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195
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Representing Fractions with Drawing
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196
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Extending Notions of Fraction
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197
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Extending Notions of Fraction (Example 1)
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198
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Extending Notions of Fraction (Example 2)
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Week 13
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199
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Notions of Fraction (Example 2)
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200
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Mathematics Promotion in Early Years
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201
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Importance Of Right Approach
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202
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Resources to Improve Mathematical Understanding
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203
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Numbers to Improve Mathematical Understanding
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204
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Colour to Improve Mathematical Understanding
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205
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Outdoor Activates to Improve Mathematical Understanding
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206
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Why Students Struggle with Math?
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207
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Basic Concepts are not Clear
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210
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Attention Disorder and ADHD
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211
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Need and Importance of Motivation for Learning Mathematics
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212
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Encourage Students with Positive Feedback
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213
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Promote Growth Mind-set In Students
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214
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Offering Rewards and Celebrate Achievements
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215
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Introduce New Learning Styles
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Week 14
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216
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Allow Students to Work as a Team
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217
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Techniques to Overcome Mathematics Difficulties
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218
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Help Them Understand the Why
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219
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Make it Positive Experience
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220
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Encourage Thinking Out Loud
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221
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Difficulties faced by Early Childhood Teachers
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222
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Difficulties at Planning Stages
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223
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Difficulties in Implementing Classroom Mathematical Activities
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224
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Difficulties Concerning Implementing Classroom Activities
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225
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Classroom Activities Implementation Difficulties
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226
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Difficulties in Class MATHEMATICAL Activity Evaluation Process
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227
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Difficulties at Planning Stage Outside of Classroom
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228
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Difficulties at Implementing Stage Outside of Classroom
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229
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Difficulties at Evaluation Stage Outside of Classroom
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230
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Difficulties Experienced due to Family Involvement
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Week 15
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231
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Child Development Theories
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233
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Erikson’s Psychosocial Development Theory
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234
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Behavioural Child Development Theory
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235
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Piaget’s Cognitive Development Theory
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236
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Piaget’s Stages of Development
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237
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Bowlby’s Attachment Theory
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238
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Bandura Social Development Theory
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239
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Vygotsky’s Sociocultural Theory
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240
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Maria Montessori Theory of Early Childhood
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241
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Montessori Idea of Conducive Learning
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242
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Conducive Learning Continue
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244
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Importance of Childhood Assessment
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245
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Different Child Assessment Method
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247
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Implement Assessment in Program
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Final Term
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