Explaining, convincing and proving

  • Road maker 2
    problem

    Road Maker 2

    Age
    16 to 18
    Challenge level
    3 out of 3

    Can you work out where the blue-and-red brick roads end?

  • Transformations for 10
    problem

    Transformations for 10

    Age
    16 to 18
    Challenge level
    3 out of 3

    Explore the properties of matrix transformations with these 10 questions.

  • Dodgy proofs
    problem

    Dodgy Proofs

    Age
    16 to 18
    Challenge level
    3 out of 3

    These proofs are wrong. Can you see why?

  • Interpolating polynomials
    problem

    Interpolating Polynomials

    Age
    16 to 18
    Challenge level
    3 out of 3

    Given a set of points (x,y) with distinct x values, find a polynomial that goes through all of them, then prove some results about the existence and uniqueness of these polynomials.

  • Mathdoku demonstration
    page

    Mathdoku Demonstration

    This video of Charlie and Liz solving a 6 by 6 Mathdoku may give you ideas for strategies to try.

  • Primary Proof?
    article

    Primary Proof?

    Proof does have a place in Primary mathematics classrooms, we just need to be clear about what we mean by proof at this level.

  • Take one example
    article

    Take One Example

    This article introduces the idea of generic proof for younger children and illustrates how one example can offer a proof of a general result through unpacking its underlying structure.

  • Reasoning: Identifying Opportunities ( Article )
    article

    Reasoning: Identifying Opportunities

    In this article for primary teachers we consider in depth when we might reason which helps us understand what reasoning 'looks like'.