MERU UNIVERSITY OF SCIENCE AND TECHNOLOGY P.O. Box 972-60200 – Meru-Kenya. Tel: +254 (0)799529958, +254 (0)799529959, +254 (0)712524293 Website: www.must.ac.ke Email: info@must.ac.ke University Examinations 2021/2022 FIRST YEAR, SECOND SEMESTER EXAMINATION FOR THE POST GRADUATE DIPLOMA IN EDUCATION ECG 4151: MATHEMATICS SUBJECT METHODS DATE: JANUARY 2022 TIME: 2 HOURS INSTRUCTIONS: Answer question one and any other two questions QUESTION ONE (30 MARKS) a) Suppose that you are intending to teach the topic on measurement to form one class students. To be more specific the sub-topic to be covered is circumference of a circle. i. Develop two lesson objectives for teaching circumference of a circle. (4 marks) ii. Explain systematically the steps you would take the learners through while using a practical method to teach the concept of circumference of a circle. (4 marks) iii. Discuss three factors the teacher has to put into consideration when choosing the method of teaching indicated in (ii) above. (6 marks) b) Describe two considerations when judging a good textbook for teaching secondary school mathematics (4 marks) c) Explain any two limitations of the KCSE mathematics syllabus. (4 marks) d) Explain two benefits of micro-teaching to a teacher trainee. (4 marks) e) Discuss any five roles of the mathematics laboratory in teaching of mathematics (4 marks) Meru University of Science & Technology is ISO 9001:2015 Certified Foundation of Innovations Page 1 QUESTION TWO (20 MARKS) a) Discuss the challenges faced by teachers of mathematics in secondary schools in Kenya. (10 marks) b) The influence of mathematics education has been fundamental and widespread that being numerate is becoming more important than being literate. Discuss educational values of teaching mathematics to secondary school students. (10 marks) QUESTION THREE (20 MARKS) a) Examine the evolution of secondary school mathematics curriculum since 1963 (10 Marks) b) Discuss five reasons why mathematics should be taught to all youth of this country. (10 marks) QUESTION FOUR (20 MARKS) a) Assessment should enhance learning of mathematics. Explain any four reasons in support of this argument. (8 Marks) b) “Despite its implications, the lecture method can be an effective tool of instruction of instruction”. Giving relevant examples, explain six measures a teacher can take to ensure effective utilization of lecture method in teaching of a mathematics lesson. (12 marks) QUESTION FIVE (20 MARKS) a) State and explain any five components of quality schemes of work. (10marks) b) Discuss the contributions of Jean Piaget in teaching and learning mathematics. (10marks) Meru University of Science & Technology is ISO 9001:2015 Certified Foundation of Innovations Page 2