MTE1501
Assignment 2 2025
Unique #:
Due Date: 12 June 2025
Detailed solutions, explanations, workings
and references.
+27 81 278 3372
, SCENARIO 1: REFLECTING ON THE NATURE OF MATHEMATICS AND
TEACHING (3 ESSAYS PROVIDED)
Understanding Mathematics and Its Influence on Effective Teaching
Introduction
Mathematics is more than numbers, formulas, and the pursuit of the correct answer,
it is a human endeavour rooted in discovery, logic, and the search for patterns in the
world around us. As a student teacher preparing to speak at a community education
seminar, I have come to appreciate mathematics not simply as a school subject, but
as a vital cultural and cognitive tool. My studies in Units 1 and 2 have profoundly
reshaped how I understand mathematics and how I intend to teach it. This reflection
discusses the nature of mathematics, its essential role in society, and how this
understanding will guide my teaching to promote meaningful learning.
What is Mathematics?
Mathematics can be defined as a human activity involving problem-solving, logical
reasoning, abstraction, and pattern-seeking. It is not merely a rigid collection of rules,
facts, and memorised procedures; rather, it is a dynamic discipline that evolves
through human interaction with real-world problems and ideas. Ernest (1989)
described mathematics as a field that can be understood through different lenses—
the instrumentalist view (a toolbox of skills), the Platonist view (a static, objective
body of knowledge), and the problem-solving view (a dynamic and creative human
invention). My personal view aligns strongly with the latter: mathematics is a process
of constructing knowledge through reasoning, exploration, and application.
As outlined in Unit 1, mathematical thinking is not exclusive to a certain elite group of
people but can be cultivated in all learners when they are actively involved in sense-
making. Mathematics requires conceptual understanding, which involves connecting
ideas, rather than relying on rote memorisation of algorithms. Thus, mathematics is
not a fixed body of truths to be transmitted, but a vibrant system of interrelated
concepts that can be constructed, deconstructed, and applied in countless ways.
Mathematics in Society
Varsity Cube 2025 +27 81 278 3372
Assignment 2 2025
Unique #:
Due Date: 12 June 2025
Detailed solutions, explanations, workings
and references.
+27 81 278 3372
, SCENARIO 1: REFLECTING ON THE NATURE OF MATHEMATICS AND
TEACHING (3 ESSAYS PROVIDED)
Understanding Mathematics and Its Influence on Effective Teaching
Introduction
Mathematics is more than numbers, formulas, and the pursuit of the correct answer,
it is a human endeavour rooted in discovery, logic, and the search for patterns in the
world around us. As a student teacher preparing to speak at a community education
seminar, I have come to appreciate mathematics not simply as a school subject, but
as a vital cultural and cognitive tool. My studies in Units 1 and 2 have profoundly
reshaped how I understand mathematics and how I intend to teach it. This reflection
discusses the nature of mathematics, its essential role in society, and how this
understanding will guide my teaching to promote meaningful learning.
What is Mathematics?
Mathematics can be defined as a human activity involving problem-solving, logical
reasoning, abstraction, and pattern-seeking. It is not merely a rigid collection of rules,
facts, and memorised procedures; rather, it is a dynamic discipline that evolves
through human interaction with real-world problems and ideas. Ernest (1989)
described mathematics as a field that can be understood through different lenses—
the instrumentalist view (a toolbox of skills), the Platonist view (a static, objective
body of knowledge), and the problem-solving view (a dynamic and creative human
invention). My personal view aligns strongly with the latter: mathematics is a process
of constructing knowledge through reasoning, exploration, and application.
As outlined in Unit 1, mathematical thinking is not exclusive to a certain elite group of
people but can be cultivated in all learners when they are actively involved in sense-
making. Mathematics requires conceptual understanding, which involves connecting
ideas, rather than relying on rote memorisation of algorithms. Thus, mathematics is
not a fixed body of truths to be transmitted, but a vibrant system of interrelated
concepts that can be constructed, deconstructed, and applied in countless ways.
Mathematics in Society
Varsity Cube 2025 +27 81 278 3372
