Skip to content
Skip to main content

About this free course

Download this course

Share this free course

Working mathematically
Working mathematically

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

1.4  The nature of mathematics

Activity 5  The nature of mathematics

Complete the following prompts:

  • Mathematical ideas come from …
  • Mathematics is important in schools because …

Comment

The first prompt is often answered in terms of where mathematical ideas in the classroom come from:

  • books (used in classroom), magazines, colleagues, my brain
  • teachers, parents, TV, environment
  • surroundings, books, everyday life
  • human activity, the world around us.

Other answers are more global, such as:

  • within
  • people
  • experience
  • life, anywhere and everywhere.

Reasons given for the importance of mathematics (prompt 2) often portray a more personal view of what mathematics is ‘about’. They include:

  • its beauty and the support it gives to other disciplines
  • it gives a different perspective on things
  • it is cross-curricular and, in general, learners will need some mathematics in the world of work
  • it promotes logical thought and approaches
  • it is involved in so many areas of life
  • it is a type of thinking not experienced in many other subjects, as well as a tool for some
  • it is a language used across the curriculum and it trains disciplined thinking.

Other reasons are more instrumental. Mathematics is important in schools because:

  • it is seen as a measure of academic ability
  • a qualification in mathematics is normally a requirement to enter tertiary education.

When you considered your learning of mathematics, did you see it predominantly as a collection of topics (mathematical content) or as a way of thinking (mathematical process)?