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Mathematical Investigation

See also: teaching-mathematics, rich-mathematical-tasks, mathematical-thinking-tasks

The core of mathematics is problem-solving and modelling the world around us.

reSolve approach#

Goal of inquiry is to encourage students to

  • wonder,
  • ask questions,
  • seek patterns and explain solutions.

Seven components of mathematical inquiry (Inquiry maths)#

Question, notice and wonder#

  • Students attempt to understand the prompt by making an observation.
  • Think individually before pairing up to share.
  • Each pair feeds back a question or comment to the class.
  • Teacher aims to draw out relevant knowledge
Posing questions Notice and wondering
What does ... mean? We notice that ...
Is it right than ...? We know that .. because ...
How is it true that ...? We think that ... because ...
Why is ...? We wonder whether ...
Would it be ... if ... ? We can change ...

Establish aims and plan actions#

  • Reviews questions and observations, perhaps think aloud, perhaps commenting
  • Students in pairs select a regulatory card and justify to a class how they'll direct the inquiery

Explore and conjecture#

  • Students decided on period of exploration: generating more examples, find a case, make/test a conjecture
  • STudetns work toward forming a generalisation

Construct understanding#

...

Reason and prove#

Present results and findings#

Evaluate#

Sources#