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TMN3704 Assignment 2 Memo | Due 4 June 2025. All questions fully answered. 1.1 The National Curriculum Statement Grades R-12 serves to equip learners, irrespective of their socio-economic background, race, gender, physical ability or intellectual ability, with the knowledge, skills and values necessary for self-fulfilment, and meaningful participation in society as citizens of a free country. What are your thoughts on this view? In other words, you need to state your opinion, provide reasoning and present a balanced perspective. (4)
1.2 One strategy that you could use to connect mathematical ideas is personification. It is 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. Select a topic in Mathematics from a specific grade and demonstrate how you can illustrate this strategy. Provide three examples (6)
1.3 a.Using examples from mathematics, differentiate between relational andInstrumental understanding and explain how they differ. (4)
b.Although relational understanding is often thought to be a better alternativeto instrumental understanding, when do you regard each type of understanding as useful, particularly in Mathematics? Provide one example in each case to support your discussion.
1.4
a.Discuss the significance of integrating societal context into mathematicsteaching and how this approach can influence learners’ perspectives on the subject. (2)
b.The indigenous games should focus on practical application and societalrelevance. What is your opinion on this statement? (2)
c.What challenges do you anticipate in incorporating indigenous games toenhance the teaching of Mathematics? Mention three. (3)
d.How could these challenges impact learners’ perspectives on the subject? (2)
1.5
Develop an activity for the intermediate phase learners that covers ‘routine procedures and problem-solving’ cognitive assessment levels. Choose any topic from the content area, Measurement. (8)
1.6
Thematic teaching, which focuses on themes such as celebrations, current issues, and learners’ interests or hobbies, can promote and enhance students’ understanding of various phenomena or concepts. Design an activity to illustrate how you could build awareness of the natural disasters that normally occur in the world. Your activity should be guided by the mathematics concepts and skills you want to develop. Refer to Section 3 of the CAPS document. (6)
1.7 Evaluate the statement that “teachers should identify their learners’ individual learning styles and design instruction accordingly”. Use three examples to illustrate how a particular mathematical concept may be taught using different learning styles. (9)
1.8 a.Compare and contrast problem-solving and demonstration approaches todescribe their pedagogical technique in mathematics teaching and learning. (6)
1.9 TMN3704/ASSESSMENT 2/0/2025 The teachers implement the following activity to support learners in constructing knowledge. Learners are required to count all the triangles of any size they can identify in Figure A.
Each teacher approached the activity in a manner he/she believed would be most effective in promoting conceptual understanding.
Teacher 1 provides her learners with a formula for determining the number of triangles
Teacher 2 allows her learners to actively engage in exploring, experimenting, and discovering concepts to determine the number of triangles
Teacher 3 puts his learners into groups of five and have them discuss the best strategy to solve this problem, providing clarity during the discussion and encouraging them to report what the group discovers.
Teacher 4 brings scissors, coloured pencils demonstrating how to count the number of triangles and highlight to them what is given. He asked them to use the given information to solve the problem.
Discuss each teacher’s view on what constitutes effective learning. (8)
1.10 The general view is that there is no preferred method or approach to teaching and learning Mathematics. What is important is to ensure that you, as the teacher differentiate your lesson/teaching based on ability and provide sufficient support so that all learners in your lesson make good progress. Use examples to demonstrate how you can use a practical work approach to enhance the teaching of fractions. (10)
TMN3704/ASSESSMENT 2/0/2025
9
1.11 According to Hiebert et al. (1997), effective Mathematics teaching begins with learners’ understanding and knowledge of the topic. What is the implication of this statement? Motivate your answer. (4)
1.12 How could you, as the teacher use social/affective strategies to build a positive atmosphere in a mathematics classroom? Mention three ways. (3)
1.13 Briefly discuss how brainstorming as the teaching approach could support the effective learning of ‘Transformation’(mathematics concept). Provide examples to justify your argument. (6)
1.14 What are the advantages of using media when teaching and learning mathematics? Mention five. (5)
1.15 How can you, as the teacher, help learners use a clock or watch as a learner-centered resource to develop their understanding of percentages? Additionally, it is essential to include a sketch of a clock/watch for reference. (6)
Total [100]
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