MTE1501 ASSIGNMENT 2
QUESTION 1
Are the following statements true or false? Where is false make it true.
1.1 True
1.2 False- The true statement is Zero of Elea proposed that a unit does not have magnitude
and is indivisible.
1.3 False- the true statement is Base 100 was not the ancient Greek numeral system, it was
the Attic or Herodianic numeral system.
1.4 True
1.5 False- the true statement is Socrates did not deal in details with mathematical questions
in early 4th century 300 BCE.
Question 2
Match each statement with the appropriate explanation or statement.
statement Appropriate explanation statements
2.1According to Plato, it is rough f. Mathematics Make sense when there is a
characterisation of real mathematics. connection structure and is independent of
human thinking.
2.2 Socrates ‘view of the ordinary a. someone who deals with abstract
arithmetician in Plato‘s meno. concepts.
2.3 powers of 10 from 100 to a trillion were c.Decimal place value number system
evoked in mantras.
2.4 What school was founded by Thales, E.lonian school –every triangle is a
who discovered the five basic theorems in semicircle is a right –angle triangle.
plane geometry?
2.5 The sulba sutras listed Pythagorean d. simplified Pythagorean theorem
triples and provided a simplified
Pythagorean theorem.
QUESTION 3
, 3.1What are primary focus of mathematics as described in the passage below?
• Primary focus of mathematics is to study how people learn and engage in
mathematics activities
• This includes understanding how teaching methods, media, representations, and
social structures influence the learning and practice of mathematics.
• The goal is to investigate the mathematical activities of individual at different levels
and in various contexts, including the role of professional mathematics in developing
theories and applying them.
3.2 Provide a brief answer to the question: How does Ziegler (2010) define mathematics
according to the passage? Do not copy the definition but describe it according to your
understanding. (8)
• Ziegler (2010) perspective mathematics is not merely about numbers and
calculations but rather a fundamental way of thinking and problem-solving.
• It involves logical reasoning, pattern recognition, and abstraction to make sense of
the world around us.
• Mathematics serves as a universal language that helps us describe and understand
complex phenomena in various fields such as science, engineering, economics, and
even art.
• Ziegler emphasizes that mathematics is not just a set of rules to be memorized but a
dynamic and create process of exploration and discovery.
• It allows us to formulate conjectures, test hypothesis, and derive conclusions based
on evidence and logic.
• By studying mathematics, we develop critical thinking skills, analytical abilities, and a
deeper appreciation for the beauty and elegance of the logical structures that
underlie the universe.
3.3 Give a concise response to the following question: What does the term "mathematics
education" encompass according to section 2.3.2 in the study guide? (12)
• The teaching and learning of mathematical concepts, principles, and problem-solving
techniques within formal educational settings.
• The development and implementation of effective curriculum, instructional
methods, and assessment strategies to support student learning and achievement in
mathematics.
• The exploration of pedagogical approaches that promotes mathematical
understanding and proficiency among learners of diverse backgrounds and abilities.
• The study of cognitive processes involved in mathematical reasoning, including how
students construct knowledge and make connections between mathematical ideas.
• The consideration of real-world applications of mathematics to enhance student’s
motivation and engagement in learning the subject.
• The examination of factors influencing the effectiveness of mathematics instruction,
such as teacher training, resources, and classroom environment.
QUESTION 1
Are the following statements true or false? Where is false make it true.
1.1 True
1.2 False- The true statement is Zero of Elea proposed that a unit does not have magnitude
and is indivisible.
1.3 False- the true statement is Base 100 was not the ancient Greek numeral system, it was
the Attic or Herodianic numeral system.
1.4 True
1.5 False- the true statement is Socrates did not deal in details with mathematical questions
in early 4th century 300 BCE.
Question 2
Match each statement with the appropriate explanation or statement.
statement Appropriate explanation statements
2.1According to Plato, it is rough f. Mathematics Make sense when there is a
characterisation of real mathematics. connection structure and is independent of
human thinking.
2.2 Socrates ‘view of the ordinary a. someone who deals with abstract
arithmetician in Plato‘s meno. concepts.
2.3 powers of 10 from 100 to a trillion were c.Decimal place value number system
evoked in mantras.
2.4 What school was founded by Thales, E.lonian school –every triangle is a
who discovered the five basic theorems in semicircle is a right –angle triangle.
plane geometry?
2.5 The sulba sutras listed Pythagorean d. simplified Pythagorean theorem
triples and provided a simplified
Pythagorean theorem.
QUESTION 3
, 3.1What are primary focus of mathematics as described in the passage below?
• Primary focus of mathematics is to study how people learn and engage in
mathematics activities
• This includes understanding how teaching methods, media, representations, and
social structures influence the learning and practice of mathematics.
• The goal is to investigate the mathematical activities of individual at different levels
and in various contexts, including the role of professional mathematics in developing
theories and applying them.
3.2 Provide a brief answer to the question: How does Ziegler (2010) define mathematics
according to the passage? Do not copy the definition but describe it according to your
understanding. (8)
• Ziegler (2010) perspective mathematics is not merely about numbers and
calculations but rather a fundamental way of thinking and problem-solving.
• It involves logical reasoning, pattern recognition, and abstraction to make sense of
the world around us.
• Mathematics serves as a universal language that helps us describe and understand
complex phenomena in various fields such as science, engineering, economics, and
even art.
• Ziegler emphasizes that mathematics is not just a set of rules to be memorized but a
dynamic and create process of exploration and discovery.
• It allows us to formulate conjectures, test hypothesis, and derive conclusions based
on evidence and logic.
• By studying mathematics, we develop critical thinking skills, analytical abilities, and a
deeper appreciation for the beauty and elegance of the logical structures that
underlie the universe.
3.3 Give a concise response to the following question: What does the term "mathematics
education" encompass according to section 2.3.2 in the study guide? (12)
• The teaching and learning of mathematical concepts, principles, and problem-solving
techniques within formal educational settings.
• The development and implementation of effective curriculum, instructional
methods, and assessment strategies to support student learning and achievement in
mathematics.
• The exploration of pedagogical approaches that promotes mathematical
understanding and proficiency among learners of diverse backgrounds and abilities.
• The study of cognitive processes involved in mathematical reasoning, including how
students construct knowledge and make connections between mathematical ideas.
• The consideration of real-world applications of mathematics to enhance student’s
motivation and engagement in learning the subject.
• The examination of factors influencing the effectiveness of mathematics instruction,
such as teacher training, resources, and classroom environment.
