Course Contents
Time Lesson Theory Related Material
Week 1 1-Numeracy,
2-Rational and Irrational numbers
3- whole , natural and real numbers (i)Concept of unit, tenth, hundred, thousands.
(ii) Define rational and irrational numbers.
(iii) terminating and non terminating decimals. (iv) Even, odd and prime numbers Number games, cards and use of worksheets
Week2 4-Fractions
5-Decimals,Percents
6-Division of whole numbers
(i) Improper and proper fractions (ii) Define decimals and percents. (iii) Define remainder Use of shapes, activities with charts and cards.
Week 3 7-Factorization
8-Least common factor (LCF)
9-Greatest Common Factor (GCF)
(i)Define factor and division of an whole numbers into its factors (ii)Define difference between LCF and GCF
Inquiry method, learning through worksheets
Week 4 10-Ratios
11- Proportion
12-use of ratios and proportions. (i)Define ratios, and proportions(ii)Use of ratios and proportions to solve real life problems Use of research papers to identify new methods of teaching ratios and proportions
Week 5 13-15
Geometry
Square, rectangle, triangle and circle (i)define geometry, shapes
(ii) define that how a shape can be converted into another shape,(iii) area of square, rectangle, triangle and circle, (iv) describe, sector, secant, chord and Semi circle. A point lying in the interior and exterior of a circle. Use of shapes from real life, worksheets and use of ICT.
Week 8 16-18
Pythagoras theorem, Hero’s formula (i)State Pythagoras theorem and give its informal proof.
(ii)Solve right angled triangle by using pythagoras. theorem
(iii)State and apply hero’s formula to find the area of a trainglular and quadrilateral regions Lecture notes, Use of worksheets.
Week 9 19-21
Mid Term
Week 10
22-24
Algebra
Addition, multiplication and division of algebraic expressions.
Define history of algebra and its usefulness in real life. (ii) define algebraic expression to find out unknown values by using known quantities.(iii) Define basic algebraic formulas and their logical explanation. Teaching and learning activities
Week 11 25-27
Exponents, Laws of Exponent (i)Identify base, exponent.
(ii)Define product law of exponent for same bases and when bases are different
(i) Quotient law when bases are same and different Use of cards, charts and puzzles
Week 12 28-30
Polynomial (i)Define polynomial, degree of polynomial (ii) polynomial in one and more variables (iii)Rreorganization of linear, quadratic and cubic polynomials. Power point presentation
Week 13 37-39
Functions (i)Define functions, binary functions.(ii)the range and domain of the function. (iii)Differentiate between onto and one-to one function. Lecture notes, worksheets.
Week 14 40-42
Trigonometric ratios
(i)Define trigonometric identities and ratios. (ii)Define trigonometric ratios for acute angles(30,60,90,45,180) Worksheets, power point presentation.
Week 15 43-45
Trigonometric identities
(i)Define different trigonometric relations. (ii) Use these relations to solve the problems Teaching learning activities
Week 16 46-48
Surface area and volume (i) Find the volume of sphere
(ii) Find the volume of a cone
(iii) Use different shapes from real Use of charts and lecture notes.
Course Synopsis
Mathematics has always a compulsory and major subject in elementary classes, but the existing teachers’ beliefs and perceptions of teaching mathematics at elementary level in our context are not promising; we are rather more focused towards transmission of knowledge by engaging students in memorizing mathematical rules and formula, rather engaging them in constructing mathematical knowledge and understanding of mathematical concepts .Therefore, it is very important for elementary teachers need to make what seem to be mathematical contradictions clear to their students from early age. This course will equip Student Teachers with the knowledge to teach mathematics in elementary grades. They will plan mathematics lessons and activities, and engage in practice teaching of mathematics.
This course intends to extend prospective teachers’ content knowledge as well as building their understanding of the nature of mathematics, teacher beliefs and perceptions and mathematics teaching and learning. This will enable prospective teachers to develop students’ problem solving, logical thinking and reasoning skills. The importance of designing effective assessment items to facilitate students’ learning is also considered
Course Learning Outcomes
Learning Outcomes:
After completion of this course prospective teachers will be able to:
• Attain a better understanding of mathematical ideas;
• Revisit beliefs, ideas and perceptions towards teaching and learning of mathematics;
• Acquire the skills and competencies required for the teaching of mathematics at
elementary level.
• Apply effectively the various methods, techniques and strategies of teaching mathematics
• Appreciate mathematical processes and discover the power of mathematical thinking.
• Appreciate learning by doing rather than instrumental learning.
• Develop a positive attitude towards teaching of mathematics.
• Design unit plan for teaching and manage a classroom effectively.
• Design assessment for/of/as learning to facilitate students learning.
• Use ICT in teaching and learning of mathematics
week 1 Absolute Value of Integers
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week 1 Absolute Value of Real Numbers
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week 1 Rational and Irrational Numbers
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week 1 Rational and Irrational Numbers
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week 1 Decimals
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week 1 Decimals
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week 1 Approximate value
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week 1 Approximate value
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week 2 Functions
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week 2 Functions
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week 2 Functions
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week 3 Exponents and its Laws
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week 3 Exponents and its Laws
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week 4 Ratios
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week 4 Proportions
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week 4 Ratios and Proportions
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week 6 Polynomial
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week 6 Polynomial
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week 8 Algebra & algebraic operations
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week 8 Algebra & algebraic operations
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week 8 Algebra & algebraic operations
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week 9 Algebraic Expressions
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week 9 Algebraic Expressions
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week 10 Linear Equations
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week 10 Linear Equations
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week 10 Linear Equations
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week 11 Area
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week 11 Perimeter
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week 14 Circumference and area of circles
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week 14 surface
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week 15 Arithmetic Mean, Harmonic Mean and Geometric Mean
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week 16 Types of Data
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week 16 Types of Data
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week 16 Pie Graph
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week 16 Pie Graph
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week 16 Pie Graph
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Book Title : Speed math for kids : the fast, fun way to do basic calculations
Author : Bill Handley
Edition : 1
Publisher : Josey Bass
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Title : Absolute value of Integers and real numbers week 1
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Title : Absolute value of Integers and real numbers week 1 (handout 2)
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Title : Absolute value of Integers and real numbers week 1 (handout 3)
Type : Other
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Title : Rational and Irrational Numbers week 1
Type : Other
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Title : Rational and Irrational Numbers week 1 (handout 2)
Type : Other
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Title : Decimals Week 1
Type : Other
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Title : Operations with Decimals week 1
Type : Other
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Title : Approximation week 1
Type : Other
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Title : Approximation week 1 (handout 2)
Type : Other
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Title : Functions week 2
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Title : Functions week 2 (handout 2)
Type : Other
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Title : Exponents week 3
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Title : Exponents week 3 (handout 2)
Type : Other
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Title : Exponents and its laws week 3
Type : Other
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Title : Exponents and its laws week 3 (handout 2)
Type : Other
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Title : Ratio and proportion week 4
Type : Other
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Title : Ratio and proportion week 4 (handout2)
Type : Other
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Title : Pathagorean Theorem week 5
Type : Other
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Title : Hero's Formula week 5
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Title : Hero's Formula week 5
Type : Other
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Title : Polynomial
Type : Other
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Title : week 6 Polynomics
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Title : week 6 Polynomics
Type : Other
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Title : week 8 Algebra & algebraic operations
Type : Other
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Title : week 8 Algebra & algebraic operations
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Title : week 8 Algebra & algebraic operations
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Title : week 8 Algebra & algebraic operations
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Title : week 8 Algebra & algebraic operations
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Title : week 9 Algebraic Expressions
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Title : week 10 Linear Equations
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Title : week 10 Linear Equations
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Title : week 10 Linear Equations
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Title : week 11 Area and Perimeter
Type : Other
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Title : week 11 Area and Perimeter
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Title : week 12 Geometry
Type : Other
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Title : week 14 Surface, area and volume
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Title : week 14 Surface, area and volume
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Title : week 14 Surface, area and volume
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Title : week 15 Arithmetic Mean, Harmonic Mean and Geometric Mean
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Title : week 15 Arithmetic Mean, Harmonic Mean and Geometric Mean
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Title : week 16 Types of Data
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Title : week 16 Types of Data
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Title : week 16 Types of Data
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