Rationale
Understanding the meaning of numbers is crucial at this level of education and hence this course is grounded on the premise of providing fundamental concepts and principles of mathematics to the students. Based on these principles students will explore concepts, develop problem-solving skills and mathematical reasoning. Furthermore, the course is designed to introduce students to the teaching and learning of mathematics in the primary school.
Learning Outcomes
At the end of the course students will be expected to:
i. Explain the number systems that make up the real numbers.
ii. Explain the key elements of the mathematics teacher’s repertoire, such as questioning, using errors and misconceptions to inform teaching, and assessment for learning.
iii. Determine the rules for calculating equivalent fractions which are based on the equivalence of certain rational numbers.
iv. Explain the similarities and differences between the current numeration system and those used in ancient times.
v. Evaluate the multi-base counting systems for teachers.
vi. Apply inductive reasoning to develop generalisations about number patterns and algebraic thinking.
vii. Explain and use the algorithms for addition, subtraction, multiplication and division.
viii. Illustrate the use of various apparatus for conceptual development of the algorithms for addition, subtraction, multiplication and division.
ix. Discuss the role of problem-solving in the teaching of operations in primary school.
x. Illustrate and use language patterns in conjunction with concrete activities to extend the fraction concept of learners.
xi. Compare and contrast different fractions to demonstrate an understanding of the relative sizes of different rational numbers.