Concrete, Pictorial, Abstract, Language


This full-day CPD event will include a broad discussion of the importance of connecting learning through multiple representations of concepts and ideas when modelling and teaching.

In order to secure greater depth of understanding and to give the highest possible chance for pupils to make meaning of mathematical structure, new learning should always include opportunities to explore ideas through concrete and image based manipulatives, all the time making connections to efficient symbolic and abstract approaches with explicit and precise mathematical language.

During this hands-on event, we will take a look at several mathematical ideas and how they might be taught through a CPAL approach.

  • A range of manipulatives for teaching mathematics
  • Detailed exploration of addressing some of the most important concepts in maths through a CPAL approach
  • How to increase pupils' understanding and attainment

Course Leader - Mark McCourt

Mark is the UK's leading authority on teaching for mastery. He has trained over 2000 schools in mastery models for schooling in the UK and overseas.

A leading figure in mathematics education, Mark has led many large-scale government education initiatives, both in the UK and overseas. Mark was a Director at the National Centre for Excellence in the Teaching of Mathematics (NCETM) and has also been a school leader, an Advanced Skills Teacher, a school inspector and a teacher trainer. He founded and was Chairman of the Teacher Development Trust.

Mark has extensive experience of mathematics teaching and learning across all age and ability groups, having taught students from age 3 to PhD!

Delegates will take away:

  • An appreciation of the research and evidence behind CPAL approaches.
  • Deep understanding of using manipulatives to teach across the age and attainment range.
  • Lots of example resources and manipulatives to use in the classroom.
  • Ways to embed CPAL approaches in programmes of study and individual lessons.
  • An approach to teaching, learning and assessment resources for all key stages.

Outline Programme:

  • Time

  • 10:00 - 10:15

    An introduction to CPAL, its history and the evidence
  • 10:15 - 11:15

    Using Cuisenaire Rods from Early Number to Trigonometry
  • 11:15 - 12:30

    Algebra Tiles from Counting to Algebraic Long Division
  • 12:30 - 13:00

  • 13:00 - 14:00

    Approaches to Equations
  • 14:00 - 15:00

    Using Paper Folding for Geometrical Proof

Locations and Dates:

  • Bedford

    Bedford Free School (MK42 9AD)

    Wednesday, 23rd January 2019

  • Liverpool

    Deyes High School (L31 6DE)

    Tuesday, 29th January 2019

  • Coventry

    President Kennedy School (CV6 4GL)

    Wednesday, 30th January 2019

Course Fees



After the first delegate, any subsequent delegates are only charged £80



All Complete Mathematics members benefit from free access to courses and conferences from La Salle Education
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