Curriculum and Assessment

The Royal Society Advisory Committee on Mathematics Education (ACME) has developed three curriculum Expert Panels spanning different phases of education:

  • Early years and primary
  • Secondary (ages 11-16
  • Post-16

These expert panels have expertise in teacher education, classroom practice and research. They inform RS ACME with perspectives on current education policy issues and look ahead to future needs across the mathematical education community.

Recent RS ACME work in this area:

Between 2023 and 2025, the Early Years and Primary Expert Panel members reviewed the evidence on the value of spatial reasoning from Reception to the end of primary education (age 11). Working with the ECMG – Early Childhood Maths Group (earlymaths.org) and Professor Emily Farran (Surrey University) they make the case for greater emphasis on spatial reasoning within mathematics for very young learners.

Based on this evidence, the Expert Panel has produced a learning trajectory mapping progression and suggested activities to support spatial reasoning development throughout the later phases of primary education.

Previous RS ACME work:

  • In preparation for the introduction of the new T level qualifications in 2020, RS ACME's post-16 expert panel developed a rationale for General Mathematical Competencies (GMCs) (PDF) designed to be embedded across the new courses.
    GMCs acknowledge the difficulties in transferring knowledge from one domain to another and are informed by, and sensitive to, research into the use of mathematics in workplaces. Importantly, they provide a common structure for all T Levels whilst allowing for adaptation to ensure student experiences in each T Level are authentic.
    The framework sets out ten GMCs:

    Measuring with precision
    Estimating, calculating and error spotting
    Working with proportion
    Using rules and formulae
    Processing data
    Understanding data and risk
    Interpreting and representing with mathematical diagrams
    Communicating using mathematics
    Costing a project
    Optimising work processes

  • GCSE Mathematics resits - In 2021, RS ACME undertook a programme of work to examine the existing policy on GCSE resits which resulted in two Working Papers.
  • Assessment - In 2016, the Society published Problem solving in mathematics: realising the vision through better assessment (PDF). It considers the assessment of problem solving in public tests and examinations across all key stages of mathematical development and describes the desirable characteristics of questions used to assess problem solving. It also sets out actions for policymakers, awarding organisations and the mathematics community to ensure that improvements in the quantity and quality of problem solving in mathematics tests and assessments are realised over time.
  • Curriculum - In 2014, the Royal Society and the Royal Statistical Society worked together on a project looking at the statistical content and assessment of a selection of A Level qualifications. The aim of the project was to investigate how statistics was embedded within these qualifications and to identify further steps to ensure that students gain statistical literacy as they move into higher education and employment. The report, Embedding Statistics at A level (PDF) was published in 2015.
  • Curriculum - In 2011, the Society published a report called Mathematical Needs (PDF) which analysed the mathematical content of a range of university courses and found that there was a marked discrepancy between the number of courses requiring mathematical skills beyond GCSE and the number of people with these skills that the UK is producing.