Course Contents

Course Content Unit 1 1.1 Nature of mathematics. 1.2 Constructing understanding. 1.3 Mathematical concepts. 1.4 Principles of constructivism. Unit2 2.1 Planning and effective instructional plan. 2.2 Teaching more effective lessons. 2.3 Assigning the homework. 2.4 Long term assignments 2.5 Format of homework assignment 2.6 Constructing and using mathematical models. Unit 3 3.1 Purpose of evaluation. 3.2 Plan for evaluation (a sample plan). 3.3 Characteristics of the evaluation program. 3.4 Diagnosis pupil difficulties. Unit 4 4.1 Definition, types and properties of sets. 4.2 Definition and role of logic in Mathematics. 4.3 Truth table. 4.4 Definition and concept of function. 4.5 Cartesian product. 4.6 Algebra of function and Transcendental functions (exponential and logarithmic). 4.7 Basic properties of integers. 4.8 Numeration system. Unit 5 5.1 Algebraic Identities. 5.2 Method of factorizing trinomial s. 5.3 Synthetic division. 5.4 The Euclidean Algorithm. 5.5 Elimination. Unit 6 6.1 Inequalities. 6.2 Equations (quadratic simultaneous linear). 6. 3 Matrices and types. 6.4 Determinants & properties. 6.5 Use of matrices solving the system of equations. Unit7 7.1 Trigonometric ratios of 30, 45 and 60 degrees. 7.2 Trigonometric ratios 7.3 Conversion of degree into radian. 7.4 Basic trigonometric identities (prove and application). 7.5 Pythagorean Theorem. 7.6 Solution of triangles / Word problems. Unit 8 8.1 Point, Line & Angles, 8.2 Constructing Angles, Perpendicular and Parallel lines. 8.3 Types of triangles and construction. 8.4 Constructing Perpendicular Bisector, Altitudes, Medians and Angle bisector. 8.5 Triangle Congruence. 8.6 Properties of proportion. Unit 9 9.1 The Metric system. 9.2 Area and circumference of circle. 9.3 Area of Rectangle, Parallelogram and Triangle. 9.4 Area of polygon and Sector. 9.5 Surface Area of Cylinder, Pyramid and Cone. 9.6 Volume of Cone and Sphere. Unit 10 10.1 Special techniques for clarifying problems. 10.2 Changing word problems into algebraic expressions. 10.3 Changing word problems into equations. 10.3.1 Money problems. 10.3.2 Ratio and rate problems. 10.3.3 Percent problems. Evaluation Criteria Students will be evaluated on the basis of following criteria. 1 Test 1 10 2 Test 2 10 3 Assignment 10 4 Attendance 5 5 Final Exams 65 6 Total 100 Suggested Books Rick, B. (1993). A problem Solving Approach to Mathematics for elementary School Teachers (5th ed.) MenlPark, California: Addison-Wesley publishing company. Johnston. (1988). Essential Algebra, California: Wadsworth publishing company. Mark, John, L. (1970). Teaching elementary school mathematics for understanding (3rded.) New York: McGrahall book company. Shanks et al. (1965).Pre calculus mathematic, New York; Addision-Weslay publishing company.Vigilante, Nicholas, J. (1969).Mathematics in elementary education, London: the macmillan company.

Course Learning Outcomes

After the completion of this course the students will be able to: • Establish a concept of different mathematical techniques and skills. • Plan effective lessons format. • Understand sets, functions and logic, • Differentiate equalities from inequalities. • Solve various types of equations by inequalities losing different mathematical techniques. • Understand and apply the various concepts of matrices, trigonometry and geometry.