Course Contents

Time Lesson Theory Related Material Week 1 1-3 Operations on Sets Theory Define union, intersection and difference of two sets. i) Find • union of two or more sets, • intersection of two or more sets, • difference of two sets. ii) Define and identify disjoint and overlapping sets. iii) Define a universal set and complement of a set. Learning through work sheets Week 2 4-6 Perfect Square and its properties (i)Define perfect squares (ii) Identify and apply the properties of perfect square (iii) Solve real life problems Inquiry method, learning through worksheets Week 3 7-9 Square roots of positive number (i). Define Square roots of natural number and its notion (ii) Fine Square roots by division method (iii) Define nth roots of whole numbers. Demonstration Method Week 4 10-12 Direct & Inverse Variation (i)Define and recall direct and inverse variations (ii) Practice theory and numerical Lecture note Week 5 13-15 Continue Ratio (i)Define continued ratio, (ii). Solve real life related problems Lecture notes Week 6 16-18 Time, Speed and Distance i) Solve real life problems related to time and work using proportion. ii) Find relation (i.e. speed) between time and distance. iii) Convert units of speed (kilometer per hour into meter per second and vice versa). Learning through work sheets Week 7 19-21 Ist Midterm Test I Week 8 22-24 Financial Arithmetic (i)Define taxes (ii) Proper tax. (iii) Solve tax related problems Teaching and learning activities Week 9 25-27 Profit and Markup i) Explain profit and markup. ii) Find the rate of profit/ markup per annum. iii)Solve real life problems involving profit/ markup Demonstration method Week 10 28-30 Zakat and Ushr (i). Define zakat and ushr. ii) Solve problems related to zakat and ushr. Inquiry Method Week 11 31-33 Operations with Polynomials (i). Add and subtract two or more polynomials. (ii)Find the product of •monomial with monomial, •monomial with binomial/trinomial, •binomials with binomial/trinomial. iv)Simplify algebraic expressions involving addition, subtraction and multiplication Teaching and learning activities Week 12 34-36 Factorization of Algebraic Expressions (i). Factorize an algebraic expression (using algebraic identities). (ii). Factorize an algebraic expression (making groups).(iii) Solve problems Lecture notes Week 13 37-39 2nd Midterm Test I Week14 40-42 Mathematics is the mother of all subjects. This course will help in creating awareness of the history of mathematics as well as its scope and significance. Also Student Teachers will be able to design plans for integrating Information and Communications Technology (ICT) to develop students’ mathematical learning. The importance of designing effective assessment items to facilitate students’ learning is also considered. Information handling Frequency distribution i) Demonstrate data presentation. ii) Define frequency distribution (i.e. frequency, lower class limit, upper class limit, class interval, and tally bar). Power point presentation Week 15 43-45 Measures of Central tendencies (i)Mean,(ii)median, (iii)mode through group and ungroup data problems Demonstration Method Week16 46-48 Measures of dispersion (i)Range (ii)Variance (iii)Standard deviation. Lecture notes, worksheets. Week 17 Final term

Course Synopsis

Mathematics learning can inculcate problem solving, logical thinking and reasoning skills in students only when the teachers teach them in such a way that they learn conceptually instead of learning by drill and practice. Therefore, this course intends to build prospective teachers’ understanding of the nature of mathematics, mathematics teaching and learning as well as create awareness about mathematics history and the scope and significance of mathematics. This course will equip Student Teachers with the knowledge and skills to teach mathematics in elementary grades. They will become familiar with the mathematics content in Pakistan’s National Curriculum and expected student learning outcomes. Student Teachers will learn to use a variety of instructional methods that promote active learning of maths, including making and using teaching and learning materials. They will plan mathematics lessons and activities, and engage in practice teaching of mathematics.

Course Learning Outcomes

After completing this, Student Teachers will be able to: Explore different schools of thought, such as fallibility, constructivist, and social constructive identify possible connections between and influences of perspectives on the nature of mathematics and its teaching and learning, relate the importance of mathematics in daily life, explain the relationship of mathematics to other subjects, critically analyses mathematics content and students’ learning outcomes in light of the mathematics philosophy proposed in the National Curriculum for Mathematic.