,Assignment 4
1. Read paragraph 1.4 of your Tutorial Letter 501 and answer the following
question:
Amongst the ideas of the early mathematics philosophers, which statement is
NOT true?
1) Aristotle uses empirical study emanating from experiments and
observations.
2) Plato reasoned that mathematics is based on experimentation and
abstraction.
3) Hilbert believed that mathematics can exist in the formal having
concrete representations in the mind.
4) Aristotle said that we can understand mathematics through
experimentation, abstraction, and observation.
Answer
2) Plato reasoned that mathematics is based on experimentation and
abstraction.
2. Aristotle's beliefs on the nature of mathematics are based on the following:
1) the objects of mathematics had an existence on their own
2) The physical, the mathematical, and the theological into which
knowledge could be divided.
3) Ideas of mathematics could be viewed as a subset of the ideas
4) 4) logicism, intuitionism, and experimentation.
Answer
3) Ideas of mathematics could be viewed as a subset of the ideas
3. In the “modern” view of mathematics, the following is true…
1) Mathematics exists in human creativity only.
2) Mathematical objects are not invented or created by humans.
3) A mathematics activity is not strictly governed by any one school of
thought
4) Learning mathematics is restricted to real-life connections, signs,
symbols, definitions, and rules
, Answer
3) A mathematics activity is not strictly governed by any one school of thought
4. People have different views about Mathematics and that it is important to be
learned at school. Which of the following is not how people view
mathematics.
1) Without special brains you cannot do Mathematics
2) Mathematics is made up of symbols and not words.
3) Mathematics does not require a good memory.
4) Mathematics’ goal is to find answers.
Answer
1) Without special brains you cannot do Mathematics
5. The Egyptians realised or practiced this content area first:
1) Arithmetic
2) Volume and area
3) Geometry
4) Measurement
Answer
3) Geometry
6. Pictographs were discovered in Egypt and Mesopotamia from 3 000BC.
The best definition of a pictogram is:
1) A form of abstract symbol used to represent quantities
2) A graph that displays complex statistical data
3) An ancient form of writing using abstract shapes
4) A visual representation using pictures that stand for quantities.
Answer
4) A visual representation using pictures that stand for quantities.
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