TMN3704 Assignment 2 2023 (719453)

TMN3704 Assignment % TRUSTED workings, explanations and solutions. for assistance. ........................................ 1.1 The National Curriculum Statement Grades R-12 gives expression to the knowledge, skills and values worth learning in South African schools. This curriculum aims to ensure that children acquire and apply knowledge and skills in ways that are meaningful to their own lives. In this regard, the curriculum promotes knowledge in local contexts, while being sensitive to global imperatives. What are your thoughts on this view? (3) 1.2 One strategy that you could use to connect mathematical ideas is personification: A figure of speech in which human qualities/attributes are given to inanimate (non-human) objects or the representation of an abstract quality/idea in a human form. It is advisable to use this strategy for grade 4 learners. Use Figure 1 to illustrate what personification entails. Justify your arguments with two examples. (4) Figure 1: Ndebele beadwork patterns . Source: ASSIGNMENT 02: COMPULSORY FOCUS: SHORT QUESTIONS ON TEACHING AND LEARNING MATHEMATICS CONTRIBUTES 20% TO YOUR YEAR MARK UNIQUE NUMBER: DUE DATE: @ 20:00 NO EXTENSION WILL BE GRANTED TMN3704/102/0/2023 7 1.3 Do Activity 1.4.1 from your Study Guide. Give a concise account (do not copy and paste) of the main points of the principle of “Caring about the development of students’ mathematical proficiency”. (6) 1.4 "The teaching and learning of Mathematics aims to develop a critical awareness of how mathematical relationships are used in social, environmental, cultural and economic relations" (DBE 2011, p.8). Design an activity that could help learners recognise that percentages can be applied across social situations (relating to activities in real life) and fully explain how you would use it in teaching and learning. (6) 1.5 In Grade 5, learners are expected to demonstrate knowledge and skills in adding and subtracting two-digit numbers. The skill assessed in Table 1 was the ability to break down numbers according to place value parts. Closely look at how Miranda and Pauline solved the problems and answer the questions that follow. Table 1: Subtraction of whole numbers Pauline’s attempt Miranda’s attempt =83−37 =80−30−3−7 =50−3−7 =47−7 =40 4 687 – 2 143 = 4 000 + 600 + 80 + 7– 2 000 – 100 – 40 – 3 = = = =2 544 1.5.1 What is the common error that Pauline made? Explain fully and use the correct mathematical language when interpreting your facts. (4) 1.5.2 Where do you think the main problem is (root cause)? Explain (2) 1.5.3 What is the possible remediation? Explain and illustrate. (4) 1.5.4 Complete the steps missed out by Miranda to make the solution true. (3) 1.6 What is the difference between relational understanding and instrumental understanding? (4) TMN3704/102/0/2023 8 1.7 Although relational understanding is often thought to be a better alternative to instrumental understanding, when do you regard each type of understanding as useful, particularly in Mathematics? Justify your argument with examples. (4) 1.8 Describe four advantages of using media in teaching mathematics. (4) 1.9 Identify two mathematical concepts that you can explore using the base ten blocks. Explain how you could use these blocks to help learners learn the identified concepts. Provide an example in each case to illustrate your answer. (6) 1.10 How would you use a teacher-centred media resource to explain the meaning of (6 × 7) to a Grade 5 leaner? Use two different illustrations to show your understanding. (6) 1.11 According to Hiebert et al (1997), effective Mathematics teaching begins with the learners’ understanding and knowledge of the topic. What is your comment on this statement? (2) 1.12 What is your understanding of cognitive strategies? (2) 1.13 The general view is that there is no preferred method or approach to teaching and learning mathematics. The important thing is to make sure that you as the teacher differentiate your lesson/teaching based on ability and ensure that you provide sufficient support to learners in your class. Briefly discuss the following approaches to teaching mathematics and explain how each supports the effective teaching of mathematics. a) Learning pathways (4) b) Problem-solving (4) c) Brainstorming (4) d) Cooperative learning (4) 1.14 What are the advantages of using media when teaching and learning mathematics? (4) TMN3704/102/0/2023 9 1.15 The use of multimedia and computing technologies for teaching and learning mathematical concepts helps learners to learn with understanding. For example, when introducing the concept of fractions, instead of first introducing abstract terms such as numerator and denominator, you could use manipulatives, often referred to as teaching and learning aids. How could you use the manipulatives to enhance grade 4 learners’ understanding of the fraction concept? (6) 1.16 Complete Activity 2.18 from your Study Guide. (8) 1.17 The integrated curriculum mode, sometimes referred to as integrative teaching, is both a method of teaching and a way of organising the teaching programme so that many subject areas and skills provided in the curriculum can be linked to one another. Provide an example of how you, as the teacher, could use the content in Social Sciences as a vehicle for mathematical skills development. (6)