Mathematics

 

The joy of Mathematics lies in the ability to appreciate pattern and order in Mathematics and hence the universe; to solve puzzles that give the brain something to think about. We encourage an enthusiasm for Mathematics as a lively and exciting subject.

 

We achieve this by encouragement, by stimulation and by a practical approach with as little rote learning as possible. We hope that the work will challenge the pupils to think and that this practice will equip them well in life.

We recognise that children learn in a variety of ways and we will differentiate by input as far as possible. We will reinforce what children have covered in their study skills course.

Whilst examinations are important (the pupils may be tested by Senior Schools at 10, 11, 12 and 13 for entry at 13+) we must not let this override our teaching of Mathematics to the extent that we merely cram for exams. The syllabus should be covered at a comfortable pace so that the pupils can be entered for pre-tests as a matter of course.

The topics are built on, layer by layer, allowing each pupil to progress comfortably. The exercises test basic understanding and competence, give useful practice, and stretch the most able in the group.

 

 

Pupils’ Goals

Skills: The pupil should develop the ability to

  • Read and understand a piece of Mathematics
  • Communicate clearly and precisely using appropriate media
  • Work clearly and logically using appropriate language and notation
  • Use appropriate methods for manipulating numbers and symbols
  • Operate with shapes both in reality and in the imagination
  • Apply the sequence Do, examine, predict, test, generalise, prove
  • Construct and test mathematical models of real-life situations
  • Analyse problems and select appropriate techniques for their solution
  • Use mathematical skills in everyday life
  • Use mechanical, technological and intellectual tools efficiently

Perceptions: The pupil should increasingly

  • Recognise patterns and make generalisations
  • Recognise elegance or beauty in Mathematics
  • Become aware of the multicultural and historical origins of Mathematics
  • Become aware of the evolving nature of Mathematics and its applications
  • Be aware of Mathematics as a recreational activity
  • Appreciate the relevance of Mathematics in everyday life
  • Appreciate the uses of Mathematics in other subject areas
  • Appreciate the power and limitations of technology
  • Appreciate Mathematics as a universal language
  • Understand the idea of mathematical proof.

Attitudes: The pupil should

  • Be prepared to think clearly and logically
  • Be prepared to think creatively
  • Be prepared to work in co-operation with others
  • Value the contributions of others
  • Be prepared to contribute his/her own ideas to mathematical discussions
  • Be prepared to challenge unproved assertions and illogical arguments
  • Be prepared to search tenaciously for a solution to an unfamiliar problem
  • Approach Mathematics confidently and with enjoyment
  • Enjoy the pursuit and achievement of perfection
  • Want to continue to do Mathematics.