M.Ed. Semester II Course
Math Ed 525: Trends in Mathematics Education
An advanced study of global trends, curriculum reforms, issues, and research in Mathematics Education
Course Introduction
This course has been designed and prepared to trace the trends of various aspects of teaching/learning (T/L) mathematics education. It deals with the recent trends of T/L mathematics practices at different levels, from school to university.
It focuses on the reforms of major areas of school mathematics along with their T/L issues and problems. It also assesses the rationale of T/L applied mathematics and illustrates some mathematical modeling.
Besides this, it provides an updated overview of the themes, issues, and recommendations made by different international conferences on mathematics education. The social, cultural, and inclusive educational issues and problems are also critically assessed. Further, this course presents the trends of research in mathematics education.
General Objectives
- 1 Sketch global trends in mathematics education from school to university levels (curriculum, content, methods, materials, evaluation, and research).
- 2 Analyze developmental trends, reform, and teaching/learning issues in three basic areas of school mathematics (geometry, arithmetic, and algebra).
- 3 Elucidate changing concepts of applied mathematics over time and verify rationale for school level application.
- 4 Trace trends of mathematical bodies (IMU, ICMI, ICMEs, IMO) and professional Nepalese mathematical organizations.
- 5 Address critical issues like culture, popularization, gender differences, ethnomathematics, and inclusion in mathematics education.
- 6 Understand historical and modern trends of knowledge in the area of research in mathematics education.
Syllabus Breakdown
Click on any unit to view its learning objectives, contents, and resources.
Learning Objectives
- Discuss briefly the roles of philosophy and learning theory to trace the trends in mathematics education.
- Sketch global trends of mathematics education at different levels with respect to curriculum, content, methods and materials, evaluation system, research, and sociological components.
Learning Content
- Introduction
- Trends in Mathematics Education (TME) at the basic level
- TME at the secondary level
- TME at the tertiary level
Learning Resources
Learning Objectives
- Sketch trends of the three basic areas of school mathematics.
- Review the trends of school geometry, arithmetic, and algebra (with reference to curriculum, content, methods, materials, and evaluation system).
- Give comprehensive views on the issues and problems of teaching/learning school mathematics.
Learning Content
- Introduction
- Reforms in Geometry
- Reforms in Arithmetic
- Reform in Algebra
- Issues and problems in the teaching/learning of the three basic areas of mathematics for the 21st century
Learning Objectives
- Explain the trends showing how the concept of applied mathematics changes with time.
- Clarify the reason for teaching the application of mathematics at different levels of schooling.
- State the issues and problems of applied mathematics in mathematics education.
- Analyze the impact of applied mathematics on mathematics education.
- Use practical knowledge and skills in the area of mathematical modeling.
Learning Content
- Introduction
- Rationale to teach application of mathematics
- Trends in teaching applied mathematics
- Issues and problems of teaching/learning applied mathematics
- The impact of teaching/learning applied mathematics
- Some examples of mathematical modeling
Learning Objectives
- Sketch the different trends of Union, Commission, Study groups, Conferences, and Olympiads.
- Describe the aims, activities, and responsibilities of IMU and ICMI.
- Describe the achievements of different international congresses (ICMEs).
- Explain different formalities (selection of Jury, conditions of participation, and topics asked) in IMO.
- Describe the aims and activities of professional organizations of mathematics in Nepal.
- International Mathematical Union (IMU) ↗
- International Commission on Mathematical Instruction (ICMI)
- International Congress on Mathematical Education (ICME)
- Organization of ICME in different countries
- International Mathematical Olympiad (IMO)
- Nepalese mathematical organizations (NMO)
Learning Objectives
- Give critical comments on the social issues and problems in teaching/learning mathematics.
- Appraise the role of culture in teaching/learning mathematics.
- Discuss the assessment system of mathematics education.
- Give critical appraisal to address different issues (popularization, gender differences, ethnomathematics, and inclusion) in mathematics education.
- Give critical comments on tensions occurring while dealing with mathematics education for the stakeholders of the 21st century.
Learning Content
- Social issues and problems in teaching/learning mathematics education
- Cultural role in teaching/learning mathematics education
- Issues and problems in students' evaluation system
- Challenges of teaching/learning mathematics in the 21st century
- Popularization of mathematics education
- Gender difference in mathematics education
- Ethnomathematics
- Individual difference of students
- Special needs of students
Learning Resources
Explore detailed content summaries and supplementary materials for Unit V.
Content Details: Unit 5 ↗Learning Objectives
- Sketch the historical and modern trends of knowledge observed in the area of research in mathematics education.
- Discuss the different philosophical views, paradigms, and areas of research in mathematics education.
Learning Content
- Introduction to research in mathematics education
- Historical and modern trends in mathematics education research
- Philosophical views and research paradigms (positivist, interpretivist, critical, etc.)
- Key areas of research in mathematics education (curriculum, learning, teaching, technology, assessment)
Instructional Techniques
The course utilizes both general and topic-specific instructional approaches to maximize student involvement and practical understanding.
General Instructional Techniques
Lecture, mini-lecture, brainstorming, group works, presentation, and classroom discussion methods.
Specific Instructional Techniques
| Unit | Specific Instructional Techniques |
|---|---|
| Unit I | Reading, discussing, reflecting, and presenting different aspects of mathematics education at different levels from school to tertiary levels. |
| Unit II | Internet browsing and classroom presentations on basic areas of school mathematics. |
| Unit III | Peer-study, classroom discussion, comparison, and presentations on the applied aspects of mathematics. |
| Unit IV | Net browsing, reading text, searching academic journals, and reporting on resolutions from international conferences. |
| Unit V | Critical discourse on different sociological/cultural issues, group presentations, and reflective writing. |
| Unit VI | Mini-lecture followed by student group presentations on philosophical views and academic research areas in mathematics education. |
Internal Evaluation (40 Marks)
Conducted continuously throughout the semester by the subject teacher.
| Evaluation Activity | Marks |
|---|---|
| Attendance | 5 Marks |
| Participation in learning activities | 5 Marks |
| First assignment / assessment | 10 Marks |
| Second assignment / midterm exam | 10 Marks |
| Third assignment / assessment | 10 Marks |
| Total Internal Marks | 40 Marks |
External Examination (60 Marks)
Final written exam conducted by the Office of the Dean, Faculty of Education.
| Question Type | Marks |
|---|---|
| Objective questions (multiple choice 10 x 1) | 10 Marks |
| Short answer questions (6 questions x 5 points) with two OR questions | 30 Marks |
| Long answer questions (2 questions x 10 points) with one OR question | 20 Marks |
| Total External Marks | 60 Marks |
Test Your Understanding
यस MCQ Quiz मा Unit 1 देखि Unit 5 सम्मका विषयवस्तुमा आधारित MCQ प्रश्नहरू सोधिने छन्। आफ्नो इच्छा अनुसार कुनै एक Unit छनोट गरी Quiz सुरु गर्नुहोस्। प्रत्येक Unit मा 10 वटा Random MCQ प्रश्नहरू सोधिने छन्। तपाईंले आफ्नो Score सुधार गर्न Quiz लाई एकभन्दा बढी पटक Attempt गर्न सक्नुहुन्छ, र सबैभन्दा Highest Score गणना हुनेछ।
Old Questions
Access the university final examination question archives for Math Ed 525. Review questions from previous academic years to analyze examiner patterns, mark weightings, and prepare effectively for exams.
No comments:
Post a Comment