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What Makes a Good Mathematician? Reflection Tool

Age 5 to 16
Challenge Level Yellow star

The diagram below can be used for learners to reflect on their mathematical progress as suggested in the article Maths at Home - Nurturing Successful Mathematicians.

We have created some sheets for you to print off and use with your learners:

  • Two copies of the diagram
  • A sheet with space to write reflections on each of the five aspects 
  • A sheet which includes the diagram and descriptions of the five aspects

There are lots of ways this tool could be used in the classroom. Here are just a few ideas:

  • Learners could reflect on their mathematical profile after working on a task, and colour in sections of the path to capture a snapshot of their profile for that task.
  • Learners could award themselves a baseline score for each strand (perhaps up to a maximum of 2 or 3), and colour in those sections. Then every time they feel that they have worked towards improving their capabilities in a particular strand, they could colour in another section.
  • Learners could join together the furthest step they have reached on each path, and annotate it with the date, to show a series of pentagons growing outwards tracking their progress over time.
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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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