TMN3704 Assignment 5 (ANSWERS) 2023 - DISTINCTION GUARANTEED

Well-structured TMN3704 Assignment 5 (ANSWERS) 2023 - DISTINCTION GUARANTEED. (DETAILED ANSWERS - DISTINCTION GUARANTEED!). PART A: MULTIPLE CHOICE QUESTIONS [20] This section consists of 10 multiple-choice questions. Read the questions carefully. In each question, you are provided with four options from which one correct answer must be selected. These options are given in terms of alphabets, and when answering you should only write the alphabet A, B, C or D 1. 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/ideas in a human form. Which of the following statements is correct: A. I am a rectangle, a special kind of square. B. I am a cone; a two-dimensional shape. C. I am a triangle; I have three faces. D. I am a square, a special kind of rectangle. 2. The Diketo game can teach learners the following mathematical concept(s): A. Estimation B. Measurement C. Force D. All of the options are correct. 3. Choose the most appropriate scenario that could be used to illustrate the area model. A. A triangle is divided into three equal parts, one part is a third. B. A collection of whole numbers less than 20. C. A 20 cm tool or device used to measure the length. D. Diketo_ an indigenous and coordination game played mostly by young girls. TMN3704_ASSIGNMENT 5_2023 6 4. The following scenario explains how mathematics could be applied in our everyday life. If you share an eight-bar chocolate equally among (i) 2 people, (ii) 4 people, and (iii) 5 people, how much will each person get? Select the option that is not appropriate. This scenario allows learners to explore each of the following key concepts and skills: A. relationship between different kinds of numbers B. the relative size of different numbers C. understanding fractional parts D. different situations have different probabilities of occurring. 5. Cooperative learning: A. Refers to the facilitation of learning by a group of teachers. B. Encourages small groups of learners to work together to achieve common goals. C. Focuses on learners working individually to achieve a common goal. D. Is mainly cooperation between learners and their teacher. 6. Metacognition is_____________ A. a regulatory system that helps a person understand and control their own cognitive performance. B. concerned with managing emotions, both negative and positive. C. a strategy that aims at lowering anxiety levels with relaxation techniques. D. more about thinking and analysing assessment practices. 7. Cognitive strategy is one type of learning strategy that learners use in order to learn more successfully. These include: A. repetition B. organising new language C. guessing meaning from context D. All the options are correct TMN3704_ASSIGNMENT 5_2023 7 8. Choose the inappropriate option. The National Curriculum Statement Grades R-12 serves the purpose of: A. equipping learners with the knowledge, skills and values necessary for self-fulfillment, and meaningful participation in society as citizens of a free country B. providing access to higher education. C. facilitating the transition of learners from education institutions to the workplace; and D. providing employers with sufficient information on how to trim the curriculum. 9. Which role of mathematics teachers encourage them to use local context in CAPS? A. Make learners aware of learning goals. B. Link concepts with real-life situations. C. Help learners build their knowledge. D. Allow learners’ responses to drive the lessons. 10. The weighting of the content area, Space and Shape, in the Intermediate Phase___________ A. is the same for each grade in this phase. B. ranges between 20% and 30% in all the grades C. has been increased to 50% in all the grades. D. is determined by teachers when they plan their lessons. PART B: SHORT QUESTIONS Read the questions carefully before attempting to answer. 2.1 The National Curriculum Statement Grades R-12 encourages an active and critical approach to learning, rather than rote and uncritical learning of given truths. What are your thoughts on this view? (3) 2.2 Use two different contexts to design an activity on fractions that shows the incorporation of mathematics in our everyday lives. (This is aimed at encouraging flexibility within the problem context so that learners can make connections to real-life situations.) (6) TMN3704_ASSIGNMENT 5_2023 8 2.3 How could you, as the teacher, use Figure 1 as an instructional tool within the mathematics classroom? (Provide three examples and explain) (6) Figure 1: Ndebele Painting Source: 2.4 If Mpho, the Grade 5 learner, in learning mathematics, could a) use the diagrams to illustrate the fraction b) give related examples, c) use equivalence and approximate the size of a fraction, then he has the ability to connect ideas and thoughts (relational understanding of the fraction concept). What more activities (provide two) could Mpho do to reinforce her learning? Motivate (4) 2.5 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. (4) 2.6 The lack of significant change in learner performance might, in part, be due to the teachers deeply held traditional beliefs about the teaching and learning of Mathematics serving as an obstacle to implementing the reforms (Kleve 2010). If teachers continue to use the traditional approaches that yield only instrumental understanding, then the learners will continue to perform badly in tasks that focus on higher order thinking and on the acquisition of critical analytic skills. How would you facilitate the learning of mental mathematics in a grade 5 class without promoting rote learning? Use two different approaches to illustrate your answer. (6) TMN3704_ASSIGNMENT 5_2023 9 2.7 As the numbers learners work with get larger, learners may begin to lose track of some numbers when they break up numbers to do calculations. Using brackets is helpful to show the grouping of numbers and helps learners keep track of what they are doing. Closely look at the following calculations done by Seipati and answer questions 2.6.1 and 2.6.2(Explain fully and use the correct mathematical language when interpreting your facts) Table 1: Multiplication of two-digit whole numbers Question Seipati’s Response Calculate 47 × 45 47 × 45 = 4 × 4 + 7× 5 = 220 2.7.1 What is the common error that Seipati made? (4) 2.7.2 What is the possible remediation? Explain and illustrate. (4) 2.8 Describe five advantages of using media in teaching mathematics. (5) 2.9 Explain and illustrate how you could use base ten blocks to help learners learn the addition of a two-digit number and a three-digit number. (6) 2.10 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) Problem-solving approach (4) b) Learning pathways (4) c) Integrated technique (4) d) Demonstrated approach (4) 2.11 How do you differentiate skills-based teaching and learning from concept-based teaching and learning? Provide an example in each case (4) TMN3704_ASSIGNMENT 5_2023 10 2.12 As a teacher, you will be faced with the challenge of choosing the most effective media resources to reach your learners. But you can also design your own media to convey knowledge effectively and efficiently. An example of a teacher-centred media resource is when you bring a clock face to your classroom and use it to demonstrate, show and tell 24-hour time. What media resource could you use within a mathematics lesson to stimulate your learners’ interest and to develop the angle concept? Explain fully how you would use the resource. (6) 2.13 It is always important to introduce the mathematics concept to your learners in such a way that they are able to make connections and apply what they learned to real-life situations. In this way, you will be making Mathematics a hands-on subject, as your learners will be ‘doing the mathematics’ (CAPS, 2011). How would you assist the learners to make connections (teaching for conceptual understanding) with the derived area formula such as A = L x B, where A is area, L is length and B is breadth of the rectangle. Use Figure 2 to illustrate and fully answer this question.