Mathematics Education

Mathematics Education

 

Introduction

Mathematics education is becoming more dedicated to contents and pedagogy based stream of education. It relates the courses from new perspectives with influences from the different disciplines as diverse as psychology, philosophy, sociology, anthropology, feminism and mathematical sciences.

The distinction between mathematics and mathematics education lies on the nature of enquiry is made by mathematicians and mathematics education researchers. Mathematicians established the pattern, structure and theory in the physical world and the mental world of forms, relationships, and try to convince others that they too can see the same things whereas Mathematics Education researchers established pattern and structure in the socio-psychological behavior of students and the teachers of mathematics explore whether the phenomenon directs the future actions, and try to provide frameworks for enabling others to notice the same as well.

Courses Offered

First Semester (12 Credits)
Ed. 511	Foundations of Education
Ed. 513	Advanced Psychology
Math Ed. 515	Foundation of Mathematics Education
Math Ed. 516	Abstract Algebra
Math Ed. 517	Mathematics Statistics
Math Ed. 518	History of Mathematics
Second Semester  (12 Credits)
Ed. 521	Curriculum Practice
Ed. 522	Education Development
Math Ed. 525	Trends in Mathematics
Math Ed. 526	Linear Algebra
Math Ed. 527	Projective Geometry
Math Ed. 528	Complex and Numerical Analysis
Third Semester (12 Credits)
Ed. 531	Measurement and Evaluation
Ed. 532	Research Methodology in Education
Math Ed. 535	Teaching Undergraduate Mathematics
Math Ed. 537	Differential Geometry
Math Ed. 538	Measure and Topology
Math Ed. 538	Studies in Maths Education
Fourth Semester (12 Credits)
Math Ed. 546	Operation Research/ (Elective)
Math Ed.547	ICT in Mathematics Education/(Elective)
Ed. 542	Teaching Practice
Ed. 544	Thesis Writing

Mathematics Education: Courses and Description

Course Title: Foundation of Mathematics Education 

This course is designed to provide a broader and deeper understanding of the state of the art of mathematics education. Mathematics education draws upon three main foundations: mathematical foundation, psychological foundation, cultural foundation and recently technological foundation. This course has been updated and modified to meet the changing needs of mathematics education.

Course Title: Abstract Algebra 

This is a specialization course designed for the students majoring Mathematics Education at M.Ed in ODL. This course deals with abstract algebra covering axiomatic structures such as group theory, ring theory and field theory including Galois Theory of fields. It also focuses on Sylow′s Theorem and classification of finite groups as well as nilpotent and solvable groups and series of groups. This course can also be implemented in open and distance mode (ODL mode) with different instruction strategies and different assessment techniques.

Course Title: Mathematical Statistics

This course explains how statistics most accurately communicate/describe the nature of attitude, achievements and events and also explains how it condenses opinions, performances and comparisons through summary numbers that can be understood at a glance through chart and graph. Through test of significance using the theory of probability, it also explains how statistics draws inferences, make decisions and form opinions about the evens in our day-to-day life. It covers the major contents like sampling techniques, hypothesis testing (parametric and non-parametric) and correlation and regression (Partial as well as multiple).

Course Title: History of Mathematics 

Mathematics begins with the history anecdote in different papyrus, in different archives and in different temples/artifacts found in different civilizations such as Hindu, Egyptian, Babylonian, Greek, Mayan, Roman, and Chinese. In different periods (from antiquity through medieval to modern) mathematicians created different branches of mathematics while they tried to answer/solve antiquity problem/puzzles/paradoxes. This course gives a comprehensive overview of ubiquitous nature of applied and applicable mathematics.

Course Title: Trends in Mathematics Education

This course deals with skill and knowledge in various aspects of mathematics education at different levels of the school and the University.  Besides this, it also provides an overview on the themes, issues and the recommendations made by different international education conferences. This course deals with the present status and trends of research in mathematics education too. 

Course Title: Linear Algebra 

This course covers Vector spaces, Inner product Spaces, linear mapping & their algebraic properties, bilinear form & Standard operators, Spectral Theorem & primary decomposition theorem with Jordan Canonical Form and Module Theory.

Course Title: Projective Geometry

Projective Geometry examines those properties of geometric figures that remain unchanged by a central projection. Perspective in art, images of conic section under projection analyzed through point at infinity and duality are the beauty of projective geometry.

Course Title: Complex and Numerical Analysis 

The topics on complex analysis deal with the basic properties of complex numbers, functions of complex variables, complex differentiations, Integration, series and residues. Furthermore, the numerical analysis deals with the numerical techniques to the solution of system of linear equations through matrix computations and solution of non-liner equations through interpolation and iterative method of differentiation and integration

Course Title: Teaching Undergraduate Mathematics

This course is designed for Master’s in mathematics education. It is expected that this course shall sharpen students in content knowledge for teaching in secondary and undergraduate level and provide knowledge in pedagogies. Basically, abstract algebra, analysis and geometry are considered as the foundation for learning other advance mathematics. This course is focused especially on these foundation course of mathematics to provide meaningful content learning and pedagogical skills and competencies necessary to run the courses in higher secondary and undergraduate level. Competent mathematics teachers are those who are able to reduce the learning contents into organized and reduced form of abstraction to make the student able to understand the abstraction. Therefore, this course intends to impart the students the mathematics that is particularly necessary to the teachers who are teaching at undergraduate level as well as at secondary level.  This course is an enrichment course to the teachers to make them fit into dealing contents of schools mathematics and undergraduate mathematics meaningfully. The contents for this enrichment course will be the simplified and made meaningful for the purpose of teaching. Besides the content enrichment it provides undergraduate mathematics teaching instructional models to the students – an appropriate pedagogy for actionable learning. This course makes students able to design lessons for undergraduate courses using different instructional strategies.

Course Title: Differential Geometry 

An analytical geometry is a great breakthrough in the advancement of synthetic geometry occurred through the work of Descartes and Fermat and later to differential geometry where application of calculus and vector are heavily used to study shapes and surfaces. The study of curvature for space curves and fundamental forms for surface are the complex and broad in scope in representing local and global geometry.

Course Title: Measure Theory and Topology

This course is designed to provide students with the sound knowledge of measure theory and topology. The topics on measure theory deal with the theory of measure and integration in the simple setting of Euclidean and abstract space. As a preliminary step, students study the Lebesgue measure and outer measure, measurable functions, Lebesgue integral, classes and integration in Euclidean and abstract spaces. The topics in topology deal with the definition of metric spaces as topologies, generalized topological spaces and their properties. 

 

Course Title: Studies in Mathematics Education 

This course aims at giving exposure to students about some of the books written in mathematics education that are used all over the world extensively. It also aims to let students pick up global   issue which is locally important, write an essay and give seminar related to components of mathematics education, like nature of mathematics, pedagogies for mathematics, teacher development, assessment strategies and research agenda.

Course Title: Operation Research

The course is designed for the M. Ed. students in Education majoring in Mathematics Education. It provides various methods and techniques of operations research for prospective math-educators and researchers. The content intends to equip the prospective teachers of mathematics to become a good time researcher and educators.

Course Title: ICT in Mathematics Education

This course in intended for perspective mathematics teachers as well as mathematics educators who place a high value on successful students learning through the use of computer as an instructional tool. It comprises a wide range of skills varies from basic literacy to advance skills of handling instructional technology software while teaching various courses of mathematics of tertiary and graduate levels.