The subject allows students to further develop their own personal philosophy on the teaching and learning of mathematics; examines the construction of sound methodological principles for the development of concepts in rational number, introductory algebraic concepts, elementary number theory, and basic ideas in probability and statistics; strengthens students' own concepts relating to the topics of rational number, introductory algebraic concepts, elementary number theory, and basic ideas in probability and statistics; identifies and analyses some of the critical issues in contemporary mathematics education, and develops an awareness of their implications for the teaching and learning of mathematics.