Problem solving and investigation

Use problem-solving heuristics, investigate conjectures and read, complete or critique mathematical texts.

  • GCE A-Level H3 Mathematics 2027

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Heuristics, conjectures and critique

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SEAB syllabus · 2027

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About this topic

Before you begin

Use problem-solving heuristics, investigate conjectures and read, complete or critique mathematical texts.

Learning goals
  • Choose and use heuristics such as working backwards, simpler cases and restating the problem
  • Formulate, test, extend and generalise conjectures
  • Read a mathematical text and complete or critique a solution
Syllabus statements covered
  • Include: Working backwards; Uncovering pattern and structure; Solving a simpler/similar problem; Considering cases; Restating the problem (e.g., contrapositive).
  • Include: Formulating a conjecture; Extension, generalisation, special cases; Complete or critique a solution.

In this topic

Heuristics, conjectures and critique

Work backwards, generalise from simpler cases, test conjectures and critique a written solution.