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MTE1501
ASSIGNMENT 3 – YEAR MODULE
DUE: 15 JULY 2025
THOROUGH ANSWERS, PROPERLY REFERENCED
QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
In defining mathematics, three views are outlined in section 1.3.1 of the study guide. Firstly,
mathematics as a body of knowledge refers to viewing mathematics as a set of concepts, rules,
theorems, and procedures developed over time. It is seen as a subject with its own structures and
truths, such as algebraic laws and geometric properties.
Secondly, mathematics as a process views mathematics as an activity of problem-solving,
reasoning, and logical thinking. Here, emphasis is on skills such as analysis, deduction, and
discovering patterns to solve real-life problems, meaning learners engage in active construction of
knowledge rather than memorisation.
Thirdly, mathematics as a product sees it as the outcomes produced by the processes, such as
solutions, graphs, models, or formulas that are applied in daily life and other disciplines. The
differences among these views lie in focus: one emphasises content (body of knowledge), another
emphasises thinking and doing (process), and the last focuses on the results or outcomes
Disclaimer:
100% QUALITY
(product). Together, these three views shape how mathematics is taught and understood in
The materials provided are intended for educational and
society, moving
informational from mere
purposes acquisition
only. of factsnot
They should to active application and
be submitted as production of solutions.
original work or used in violation of any academic institution's Unlocking Success;
policies. The buyer is solely responsible for how the materials are One Document at a Time!
used.
, For more assistance and exclusive, unique assignments, contact us on Telegram:
https://t.me/premiumeducators
QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
In defining mathematics, three views are outlined in section 1.3.1 of the study guide. Firstly,
mathematics as a body of knowledge refers to viewing mathematics as a set of concepts, rules,
theorems, and procedures developed over time. It is seen as a subject with its own structures and
truths, such as algebraic laws and geometric properties. Secondly, mathematics as a process views
mathematics as an activity of problem-solving, reasoning, and logical thinking. Here, emphasis is on
skills such as analysis, deduction, and discovering patterns to solve real-life problems, meaning
learners engage in active construction of knowledge rather than memorisation. Thirdly, mathematics
as a product sees it as the outcomes produced by the processes, such as solutions, graphs, models,
or formulas that are applied in daily life and other disciplines. The differences among these views lie
in focus: one emphasises content (body of knowledge), another emphasises thinking and doing
(process), and the last focuses on the results or outcomes (product). Together, these three views
shape how mathematics is taught and understood in society, moving from mere acquisition of facts
to active application and production of solutions.
3.2 LU2: TEACHING AND LEARNING MATHEMATICS
3.2.1 Mathematics as a science based on order and pattern (10)
For this question, I choose the topic “Fractions and Geometry (Area)” to show connections across
three content areas:
I would teach learners how fractions relate to area (measurement) and geometry (shapes). For
example, learners cut a rectangular paper into halves, quarters, and eighths, and shade portions to
represent fractions. This connects:
• Numbers (fractions as parts of a whole)
• Measurement (calculating area of each fraction part)
• Geometry (recognising shapes like rectangles and subdividing them into equal parts).
If extending to a fourth area, I would integrate Data Handling, by letting learners record the fractions
shaded by classmates and represent this data in a bar graph, thus showing connection to Statistics.
Finally, to link to Patterns, I would let them explore fraction sequences such as 1/2, 1/4, 1/8,
, For more assistance and exclusive, unique assignments, contact us on Telegram:
https://t.me/premiumeducators
identifying the doubling pattern in denominators. This topic shows knowledge, understanding, and
connections across Number, Measurement, Geometry, Data Handling, and Patterns by integrating
them in one practical lesson about fractions, area, shape division, data representation, and number
patterns.
3.2.3 LU3
a. Represent the problem with two different representations and number sentences (6)
Problem recap:
There are 7 boxes. Each box contains five red apples and four green apples. How many apples are
there?
https://t.me/premiumeducators
MTE1501
ASSIGNMENT 3 – YEAR MODULE
DUE: 15 JULY 2025
THOROUGH ANSWERS, PROPERLY REFERENCED
QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
In defining mathematics, three views are outlined in section 1.3.1 of the study guide. Firstly,
mathematics as a body of knowledge refers to viewing mathematics as a set of concepts, rules,
theorems, and procedures developed over time. It is seen as a subject with its own structures and
truths, such as algebraic laws and geometric properties.
Secondly, mathematics as a process views mathematics as an activity of problem-solving,
reasoning, and logical thinking. Here, emphasis is on skills such as analysis, deduction, and
discovering patterns to solve real-life problems, meaning learners engage in active construction of
knowledge rather than memorisation.
Thirdly, mathematics as a product sees it as the outcomes produced by the processes, such as
solutions, graphs, models, or formulas that are applied in daily life and other disciplines. The
differences among these views lie in focus: one emphasises content (body of knowledge), another
emphasises thinking and doing (process), and the last focuses on the results or outcomes
Disclaimer:
100% QUALITY
(product). Together, these three views shape how mathematics is taught and understood in
The materials provided are intended for educational and
society, moving
informational from mere
purposes acquisition
only. of factsnot
They should to active application and
be submitted as production of solutions.
original work or used in violation of any academic institution's Unlocking Success;
policies. The buyer is solely responsible for how the materials are One Document at a Time!
used.
, For more assistance and exclusive, unique assignments, contact us on Telegram:
https://t.me/premiumeducators
QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
In defining mathematics, three views are outlined in section 1.3.1 of the study guide. Firstly,
mathematics as a body of knowledge refers to viewing mathematics as a set of concepts, rules,
theorems, and procedures developed over time. It is seen as a subject with its own structures and
truths, such as algebraic laws and geometric properties. Secondly, mathematics as a process views
mathematics as an activity of problem-solving, reasoning, and logical thinking. Here, emphasis is on
skills such as analysis, deduction, and discovering patterns to solve real-life problems, meaning
learners engage in active construction of knowledge rather than memorisation. Thirdly, mathematics
as a product sees it as the outcomes produced by the processes, such as solutions, graphs, models,
or formulas that are applied in daily life and other disciplines. The differences among these views lie
in focus: one emphasises content (body of knowledge), another emphasises thinking and doing
(process), and the last focuses on the results or outcomes (product). Together, these three views
shape how mathematics is taught and understood in society, moving from mere acquisition of facts
to active application and production of solutions.
3.2 LU2: TEACHING AND LEARNING MATHEMATICS
3.2.1 Mathematics as a science based on order and pattern (10)
For this question, I choose the topic “Fractions and Geometry (Area)” to show connections across
three content areas:
I would teach learners how fractions relate to area (measurement) and geometry (shapes). For
example, learners cut a rectangular paper into halves, quarters, and eighths, and shade portions to
represent fractions. This connects:
• Numbers (fractions as parts of a whole)
• Measurement (calculating area of each fraction part)
• Geometry (recognising shapes like rectangles and subdividing them into equal parts).
If extending to a fourth area, I would integrate Data Handling, by letting learners record the fractions
shaded by classmates and represent this data in a bar graph, thus showing connection to Statistics.
Finally, to link to Patterns, I would let them explore fraction sequences such as 1/2, 1/4, 1/8,
, For more assistance and exclusive, unique assignments, contact us on Telegram:
https://t.me/premiumeducators
identifying the doubling pattern in denominators. This topic shows knowledge, understanding, and
connections across Number, Measurement, Geometry, Data Handling, and Patterns by integrating
them in one practical lesson about fractions, area, shape division, data representation, and number
patterns.
3.2.3 LU3
a. Represent the problem with two different representations and number sentences (6)
Problem recap:
There are 7 boxes. Each box contains five red apples and four green apples. How many apples are
there?
