The approaches to teaching and learning of mathematics have been changed significantly in the last few years. Challenges posed by the declining interests and performance of students in mathematics are multifaceted and indeed, are of the domain of pedagogical discussion. Research studies in mathematics learning have shown that creative teaching/learning strategies are the sources of intrinsic motivation towards learning mathematics. Considering these as a major part, the proposed course aims at enhancing the skills and practice of novice teachers through a series of planning sessions and modern approaches of teaching and learning. The course also deals with the recent learning approaches in mathematics giving much emphasis on cognitive, constructivist, culturally relevant theories and practices of mathematics learning. Rather than focusing on only theoretical issues, the course emphasizes developing skills and attitudes for effective and meaning mathematics teaching and learning at various levels.

This course is designed to offer the students to create more effective ways of teaching mathematics with the help of ICT. Some areas are visualizing and animating mathematical experiments and concepts, searching strategies, developing reports, sharing, and designing assessment methods in the age of the 4.0 industrial revolution. Likewise, it helps to develop the ability to interlink the ICT and mathematics teaching in preparing teaching-learning materials and enhances the access opportunity. In general, this course develops the ability to design audio/visual teaching aids and effective presentations with the help of some basic software. In particular, this course develops an understanding of the basic ICT tools, techniques and approaches, and their application for quality mathematics teaching and learning. This course enables the learners to utilize educational technologies as enablers of big pedagogical ideas by connecting ICT with mathematics through experiencing active technology-enhanced engagement as learners by designing and implementing technology-enhanced educational materials and/or tools that serve meaningful pedagogical purposes.

Dear Students,

You are welcome in this course. This course, EDME 412: Discrete Mathematics, in general, aims at providing the basic ideas and skills about different discrete fundamental areas of mathematics. Discrete mathematics is a branch of mathematics devoted to the study of discrete objects that uses arithmetic and algebra, in contrast to other branches, such as calculus and analysis, whose main concern is with a continuous function. Discrete mathematics is a rapidly growing and increasingly used area of mathematics with many practical and relevant applications. More importantly, this course offers different techniques of logical and mathematical thinking and the application of these techniques in problem-solving. To achieve this goal, students will learn logic and proof, sets, functions, relations, number theory, sequences, mathematical induction, correlation, regression and their implication, sampling distribution and hypothesis testing, and mathematical modeling areas the key learning areas. Additionally, this course mostly covers different statistical tools and techniques used in real-world practices and the ideas of mathematical modeling. With the completion of this course, students will be assured to develop the ideas of appropriate using various statistical skills (descriptive and inferential) in classroom teaching as well as in research activities. And, students will develop skills in generating mathematical models for the various daily problems and solving those problems. It is an excellent tool for improving reasoning and problem-solving skills, and is appropriate for all at all levels and of all abilities. There is no universally agreed-upon set of topics included in discrete mathematics. However, there is general agreement that various branches of mathematics are clearly part of this mathematics. A brief description of these branches which are included in this course is discussed below.

The general objective of the course:

After completion of this course, students will be able

i.               To construct mathematical arguments and test their validity using logical connectives.

ii.             To solve problems involving recurrence relations and generating functions including identifying their types.

iii.            To develop the skill in solving the problem related with sequences and to construct proofs using different forms of proof (direct proof, proof by contradiction, proof by contrapositive)

iv.            To use SPSS in computing correlation, regression, and their implication.

v.              To use SPSS for sampling distribution and hypothesis testing.

vi.            To develop the mathematical model from the real-world problems and solve the problems by using mathematics modeling.