MTE1501
ASSIGNMENT 3 (SEMESTER 0)..
DUE DATE: 15 JULY 2025..
PREVIEW:
QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
Differences between the three views used to outline the mathematics consideration
The study guide’s section 1.3.1 explains three main views on defining mathematics. These views differ in
focus and emphasis, reflecting how mathematics is understood and applied in society.
The first view is Mathematics as a body of knowledge. This perspective considers mathematics as a
collection of facts, procedures, and concepts—such as numbers, shapes, formulas, and methods—that
people learn and use. It sees mathematics as a fixed, static discipline made up of truths and rules to be
mastered, emphasizing memorization and procedural fluency.
The second view is Mathematics as a process. Here, mathematics is not just facts but also involves
reasoning, problem-solving, inquiry, and discovery. This view highlights mathematics as a dynamic,
creative human activity involving thinking skills like analyzing, hypothesizing, and communicating. It
stresses the importance of understanding how mathematical ideas develop and are connected, rather
than just the end results.
The third view is Mathematics as a social and cultural activity. This broader perspective situates
Disclaimer: within human society and culture, emphasizing that mathematics evolves through human
mathematics
The materials provided are intended for educational and informational purposes only. They should not be
interaction
submitted asand reflects
original cultural
work or usedpractices and
in violation ofneeds. It recognizes
any academic the role
institution's of mathematics
policies. The buyer is in technology,
solely
responsibleand
economy, for how
dailythelife
materials are used.
and values diverse mathematical contributions from different cultures and
historical periods.
In summary, the three views differ in their focus: the first is about mathematical content as knowledge
,QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
Differences between the three views used to outline the mathematics consideration
The study guide’s section 1.3.1 explains three main views on defining mathematics. These
views differ in focus and emphasis, reflecting how mathematics is understood and applied in
society.
The first view is Mathematics as a body of knowledge. This perspective considers mathematics
as a collection of facts, procedures, and concepts—such as numbers, shapes, formulas, and
methods—that people learn and use. It sees mathematics as a fixed, static discipline made up
of truths and rules to be mastered, emphasizing memorization and procedural fluency.
The second view is Mathematics as a process. Here, mathematics is not just facts but also
involves reasoning, problem-solving, inquiry, and discovery. This view highlights mathematics
as a dynamic, creative human activity involving thinking skills like analyzing, hypothesizing,
and communicating. It stresses the importance of understanding how mathematical ideas
develop and are connected, rather than just the end results.
The third view is Mathematics as a social and cultural activity. This broader perspective
situates mathematics within human society and culture, emphasizing that mathematics
evolves through human interaction and reflects cultural practices and needs. It recognizes the
role of mathematics in technology, economy, and daily life and values diverse mathematical
contributions from different cultures and historical periods.
In summary, the three views differ in their focus: the first is about mathematical content as
knowledge to be learned, the second focuses on mathematical thinking and processes, and
the third views mathematics as a cultural and social construct shaped by human contexts.
Together, they offer a comprehensive understanding of what mathematics is and how it
functions in society.
3.2 LU2: TEACHING AND LEARNING MATHEMATICS
3.2.1 Mathematics as a Science Based on Order and Pattern
A topic that clearly demonstrates connections across multiple mathematical content areas is
"Symmetry and Transformations." This topic involves concepts from geometry, algebra,
measurement, and number patterns, showing how mathematics is based on order and
pattern.
In geometry, symmetry relates to the balanced arrangement of shapes or figures.
Transformations such as reflections, rotations, translations, and dilations manipulate these
shapes while preserving certain properties. This connects to measurement when calculating
distances, angles, and areas before and after transformations. Algebraic expressions and
functions describe these transformations precisely, such as using coordinate rules to translate
, or reflect points. Patterns emerge when transformations are repeated or combined, leading
to tessellations or fractals that show ordered repetition.
Thus, "Symmetry and Transformations" integrates geometric reasoning, algebraic
representation, measurement, and pattern recognition, demonstrating how mathematics
unites various content areas through the concepts of order and pattern.
ASSIGNMENT 3 (SEMESTER 0)..
DUE DATE: 15 JULY 2025..
PREVIEW:
QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
Differences between the three views used to outline the mathematics consideration
The study guide’s section 1.3.1 explains three main views on defining mathematics. These views differ in
focus and emphasis, reflecting how mathematics is understood and applied in society.
The first view is Mathematics as a body of knowledge. This perspective considers mathematics as a
collection of facts, procedures, and concepts—such as numbers, shapes, formulas, and methods—that
people learn and use. It sees mathematics as a fixed, static discipline made up of truths and rules to be
mastered, emphasizing memorization and procedural fluency.
The second view is Mathematics as a process. Here, mathematics is not just facts but also involves
reasoning, problem-solving, inquiry, and discovery. This view highlights mathematics as a dynamic,
creative human activity involving thinking skills like analyzing, hypothesizing, and communicating. It
stresses the importance of understanding how mathematical ideas develop and are connected, rather
than just the end results.
The third view is Mathematics as a social and cultural activity. This broader perspective situates
Disclaimer: within human society and culture, emphasizing that mathematics evolves through human
mathematics
The materials provided are intended for educational and informational purposes only. They should not be
interaction
submitted asand reflects
original cultural
work or usedpractices and
in violation ofneeds. It recognizes
any academic the role
institution's of mathematics
policies. The buyer is in technology,
solely
responsibleand
economy, for how
dailythelife
materials are used.
and values diverse mathematical contributions from different cultures and
historical periods.
In summary, the three views differ in their focus: the first is about mathematical content as knowledge
,QUESTION 1
3.1 LU1: MATHEMATICS IN SOCIETY
Differences between the three views used to outline the mathematics consideration
The study guide’s section 1.3.1 explains three main views on defining mathematics. These
views differ in focus and emphasis, reflecting how mathematics is understood and applied in
society.
The first view is Mathematics as a body of knowledge. This perspective considers mathematics
as a collection of facts, procedures, and concepts—such as numbers, shapes, formulas, and
methods—that people learn and use. It sees mathematics as a fixed, static discipline made up
of truths and rules to be mastered, emphasizing memorization and procedural fluency.
The second view is Mathematics as a process. Here, mathematics is not just facts but also
involves reasoning, problem-solving, inquiry, and discovery. This view highlights mathematics
as a dynamic, creative human activity involving thinking skills like analyzing, hypothesizing,
and communicating. It stresses the importance of understanding how mathematical ideas
develop and are connected, rather than just the end results.
The third view is Mathematics as a social and cultural activity. This broader perspective
situates mathematics within human society and culture, emphasizing that mathematics
evolves through human interaction and reflects cultural practices and needs. It recognizes the
role of mathematics in technology, economy, and daily life and values diverse mathematical
contributions from different cultures and historical periods.
In summary, the three views differ in their focus: the first is about mathematical content as
knowledge to be learned, the second focuses on mathematical thinking and processes, and
the third views mathematics as a cultural and social construct shaped by human contexts.
Together, they offer a comprehensive understanding of what mathematics is and how it
functions in society.
3.2 LU2: TEACHING AND LEARNING MATHEMATICS
3.2.1 Mathematics as a Science Based on Order and Pattern
A topic that clearly demonstrates connections across multiple mathematical content areas is
"Symmetry and Transformations." This topic involves concepts from geometry, algebra,
measurement, and number patterns, showing how mathematics is based on order and
pattern.
In geometry, symmetry relates to the balanced arrangement of shapes or figures.
Transformations such as reflections, rotations, translations, and dilations manipulate these
shapes while preserving certain properties. This connects to measurement when calculating
distances, angles, and areas before and after transformations. Algebraic expressions and
functions describe these transformations precisely, such as using coordinate rules to translate
, or reflect points. Patterns emerge when transformations are repeated or combined, leading
to tessellations or fractals that show ordered repetition.
Thus, "Symmetry and Transformations" integrates geometric reasoning, algebraic
representation, measurement, and pattern recognition, demonstrating how mathematics
unites various content areas through the concepts of order and pattern.
