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 behaviour 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. With the implementation of NESP in 1971, the college of education at Tribhuvan University was restructured in 1972. Under the Institute of Education, Mathematics Instruction Committee at Kirtipur conducted different academic programmes with training for in-service and pre-service mathematics teachers of different levels of schools. In 1976 two years M.Ed. programme of mathematics education specialization courses of 400 marks was started. The Nepali Mathematical Science Report was published with the initiation of the Mathematics Instruction Committee. Nowadays it conducted M.Ed. Programme with semester systems.

In this way, the Department of Mathematics Education is established by crossing various ups and downs. And ICT Education is conducted in this department in 2071.

Present Faculties

1. Lekhnath Sharma, PhD,

Professor 

2. Binod Prasad Dhakal, PhD

Professor

3. Bed  Raj  Acharya,  PhD 

Professor 

4. Eka Ratna Acharya, PhD

Professor

5. Ram Chandra Ghimire Reader

6. Bimala Mishra

Lecturer

7. Abatar Subedi,

Lecturer and Head

8. Bed Prasad Dhakal, PhD

Lecturer

9. Hom Kumari Adhikari

Lecturer

10. Ganesh Prasad Adhikari, PhD,

Lecturer

11. Krishna Bhatta

Lecturer

12. Lok Nath Bhattarai

Lecturer

13. Krishna Prasad Adhikari

Lecturer

14. Sarala Luitel

Lecturer

15. Arjun Prasad Neupane Lecturer
16. Shiva Prasad Dawadi Lecturer

Staff

1. Rita Rijal

2. Unish Mainali

Courses Offered

First Semester

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

 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

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

Ed. 542 Teaching Practice

Ed. 544 Thesis Writing

Math Ed. 546 Operation Research/ (Elective)

Math Ed.547 ICT in Mathematics Education/         (Elective)


Courses of M.Ed. Programme in ICT Education

First Semester

ICT. Ed. 515 Computer Architecture

ICT. Ed. 516 Java Programming

ICT. Ed. 517 Discrete Structure

ICT. Ed. 518 Operating System

Second Semester

ICT. ED. 525 Advanced Database Management System

ICT. Ed. 526 Network Security

ICT. Ed. 528 Software Engineering

ICT. Ed. 545 Reading in ICT Education

Third Semester

ICT. Ed. 535 Visual Programming

ICT. Ed. 536 Learning Management System

ICT. Ed. 537 Software Project Management

ICT.Ed. 538. ICT Education Theories and Practices

Fourth Semester

ICT. Ed. 546 Network and System Administration (Elective)

ICT. Ed. 547 Advanced Web Technology  (Elective)

 

 

 

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.

For any queries:

Abatar Subedi, Lecturer and Head

abatar.subedi@cded.tu.edu.np