100%
FMT3701
EXAM PACK
DISTINCTION QUALITY
UNISA EXAM
,FMT3701 EXAM OCTOBER 2025
Question 1
1.1 Define the term mathematics in your own words. (5 marks)
Mathematics is the study of numbers, patterns, shapes, and relationships that help us
understand and solve problems in our everyday lives. It is a way of thinking and
reasoning that helps people make sense of the world around them (Learning Unit 1, p. 2).
Mathematics is not just about calculation it also teaches logical thinking and problem-
solving skills that we use in daily activities, such as measuring, planning, and budgeting.
1.2 List three key characteristics of the nature of mathematics. (6 marks)
According to Learning Unit 1 (p. 3), the nature of mathematics includes the following
characteristics:
Mathematics is creative and logical - It involves discovering new ideas and finding
logical solutions to problems.
Mathematics is developmental - Learners move from concrete to representational and
then to abstract understanding.
4- Mathematics is useful and relevant - It is part of daily life, such as measuring,
shopping, and time management.
,.
1.3 Name two child development theories relevant to mathematics learning. (4
marks)
Piaget’s Cognitive Development Theory - Emphasises that children build knowledge
through active exploration and problem-solving (Learning Unit 1, p. 1).
Vygotsky’s Socio-Cultural Theory - Highlights the role of social interaction and guidance
from others in learning through the Zone of Proximal Development (ZPD) and scaffolding
(Learning Unit 1, p. 2).
Both theories help teachers understand how to support children’s mathematical thinking
effectively.
1.4 Differentiate between in-context and context-free mathematical problems. (6
marks)
In-Context Problems Context-Free Problems
Linked to real-life situations and experiences Abstract problems without any real-
familiar to learners. world link.
Help learners understand how mathematics Focus mainly on numbers and symbols.
applies in daily life.
Example: “If you have 3 apples and buy 2 Example: “3 + 2 = ?”
more, how many do you have?”
(Learning Unit 1, p. 4) (Learning Unit 1, p. 4)
, 1.5 Explain why problem-solving is important in mathematics. (5 marks)
Problem-solving is important because it helps learners develop reasoning, logical
thinking, and creativity. It allows them to apply mathematical knowledge to real situations
and build confidence in tackling challenges (Learning Unit 1, p. 3). Through problem-
solving, learners also learn to make connections between concepts and to find different
strategies to reach a solution. This skill prepares them for lifelong learning and everyday
decision-making.
FMT3701
EXAM PACK
DISTINCTION QUALITY
UNISA EXAM
,FMT3701 EXAM OCTOBER 2025
Question 1
1.1 Define the term mathematics in your own words. (5 marks)
Mathematics is the study of numbers, patterns, shapes, and relationships that help us
understand and solve problems in our everyday lives. It is a way of thinking and
reasoning that helps people make sense of the world around them (Learning Unit 1, p. 2).
Mathematics is not just about calculation it also teaches logical thinking and problem-
solving skills that we use in daily activities, such as measuring, planning, and budgeting.
1.2 List three key characteristics of the nature of mathematics. (6 marks)
According to Learning Unit 1 (p. 3), the nature of mathematics includes the following
characteristics:
Mathematics is creative and logical - It involves discovering new ideas and finding
logical solutions to problems.
Mathematics is developmental - Learners move from concrete to representational and
then to abstract understanding.
4- Mathematics is useful and relevant - It is part of daily life, such as measuring,
shopping, and time management.
,.
1.3 Name two child development theories relevant to mathematics learning. (4
marks)
Piaget’s Cognitive Development Theory - Emphasises that children build knowledge
through active exploration and problem-solving (Learning Unit 1, p. 1).
Vygotsky’s Socio-Cultural Theory - Highlights the role of social interaction and guidance
from others in learning through the Zone of Proximal Development (ZPD) and scaffolding
(Learning Unit 1, p. 2).
Both theories help teachers understand how to support children’s mathematical thinking
effectively.
1.4 Differentiate between in-context and context-free mathematical problems. (6
marks)
In-Context Problems Context-Free Problems
Linked to real-life situations and experiences Abstract problems without any real-
familiar to learners. world link.
Help learners understand how mathematics Focus mainly on numbers and symbols.
applies in daily life.
Example: “If you have 3 apples and buy 2 Example: “3 + 2 = ?”
more, how many do you have?”
(Learning Unit 1, p. 4) (Learning Unit 1, p. 4)
, 1.5 Explain why problem-solving is important in mathematics. (5 marks)
Problem-solving is important because it helps learners develop reasoning, logical
thinking, and creativity. It allows them to apply mathematical knowledge to real situations
and build confidence in tackling challenges (Learning Unit 1, p. 3). Through problem-
solving, learners also learn to make connections between concepts and to find different
strategies to reach a solution. This skill prepares them for lifelong learning and everyday
decision-making.
