HED4813 Assignment 1 (COMPLETE ANSWERS) 2024 (211784) - DUE 22 June 2024 ;100 % TRUSTED workings, explanations and solutions. For assistance call or W.h.a.t.s.a.p.p us on ...(.+.2.5.4.7.7.9.5.4.0.1.3.2)........... Question 1 1.1. In not more than 1500 words, critically discuss the relationship between cognition and modelling, drawing from the cognitive modelling of the learning process and the subjective perception of cognition. Furthermore, investigate the role of modelling in the formulation of pedagogical content knowledge, considering the perspectives presented in the textbook 'Elementary and Middle School Mathematics: Teaching Developmentally' by Van De Walle, JA. (2013) and its impact on teacher knowledge and learner learning. (40) Question 2 2.1. Discuss the dimensions of understanding mathematics as presented by Usiskin (2012) and analyse how cognitive development, as described by Ausubel and Ausubel (1966), influences the pedagogical content knowledge of teachers, as discussed in the article 'Teachers' integration of subject matter, pedagogy, students, and learning environments.' Your answer to this question should not be more than 1500 words. (40) 2.2. The following statements are designed to test your understanding of the complex relationship between cognition, modelling, and pedagogical content knowledge in the context of teaching and learning mathematics. Drawing from the cognitive modelling of the learning process and the subjective perception of cognition, state whether the statement is true or false: a) Piaget's theory of cognitive development emphasizes that children progress through a series of stages of cognitive development. b) According to Rivera Vega's work, Piaget's theory directly applies to the professional practices of individuals working in the field of information and communications technology. c) The application of Case Teaching has been shown to promote the sound development of course construction in mathematical disciplines. d) Piaget's theory of cognitive development has been critically analysed in the context of language development theories. e) The use of progressive visualization teaching methods has been shown to improve learning motivation in calculus courses. f) Piaget's theory of cognitive development has been compared with Vygotsky's theory. g) The enhancement of pre-service mathematics teachers’ mathematical understanding ability has been achieved through the ACE teaching cyclic. h) The evaluation of religious educational studies in Turkey has led to critiques directed at Jean Piaget’s language and conceptual development theories. i) The impact of contextual teaching and learning (CTL) has been studied in relation to students' understanding of mathematical concepts. j) Piaget's theory of cognitive development has influenced the development of key skills in foundation mathematics through problem-based learning. (10) 2.3. The following questions are designed to assess your understanding of the intricate relationship between cognition, modelling, and pedagogical content knowledge in the context of mathematics education. Drawing from the cognitive modelling of the learning process and the subjective perception of cognition, select the best option that answers the question. 2.3.1. What is the impact of the approach Contextual Teaching and Learning (CTL) on the ability of students' understanding of mathematical concepts? a) No impact b) Negative impact c) Positive impact d) Inconclusive impact 2.3.2. How does Piaget's theory of cognitive development relate to the professional practices of individuals working in the field of information and communications technology? a) Directly applies b) Indirectly applies c) No relation d) Contradicts 2.3.3. What is the essence of the pre-service primary mathematics education programme according to 's work? a) Learning mathematics relationally b) Teaching mathematics procedurally c) Focusing on memorization d) Emphasizing mathematical rules 2.3.4. What is the role of theories of mathematical learning and understanding in enhancing the teaching of mathematics according to the work of Rivera Vega? a) No role b) Limited role c) Significant role d) Inconclusive role 2.3.5. How does Piaget's theory of cognitive development relate to language development theories? a) It contradicts them b) It aligns with them c) It has no relation to them d) It has been critiqued in relation to them (10)
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