Advisory Committee on Mathematics Education Advisory Committee on Mathematics Education www.acme-uk.org MEI Conference 2012 www.acme-uk.org What is ACME? • Established in January 2002 by the Royal Society and the Joint Mathematical Council with the explicit backing of all major mathematics organisations Mathematical Needs • Supported by the Department for Education, the Royal Society, the Wellcome Trust, the Gatbsy Charitable Foundation and a range of other organisations across the STEM landscape. • ACME is an independent committee hosted at the Royal Society Roger Porkess • Current chair: Professor Stephen Sparks FRS Advisory Committee on Mathematics Education www.acme-uk.org ACME’s work Aims • ACME provides a two-way channel between the mathematics community and the Government and its agencies on mathematics education policy issues in English schools and colleges. Advisory Committee on Mathematics Education Advisory Committee on Mathematics Education www.acme-uk.org • Responsive: – Responding to consultations – Providing advice • Proactive: – Setting out position papers and policy reports on issues of current and future interest in mathematics education Advisory Committee on Mathematics Education www.acme-uk.org Mathematical Needs • The Mathematical Needs of Learners • Mathematics in the Workplace and in Higher Education www.acme-uk.org Methodology for the Needs of Learners • Collating evidence from research and reports • Meetings with policy makers, classroom teachers and leading academics in mathematics education • Seminars and workshops exploring key aspects of good mathematics learning and teaching 1 Advisory Committee on Mathematics Education Advisory Committee on Mathematics Education www.acme-uk.org www.acme-uk.org Summary of mathematical needs of learners Proficiency in Mathematics (1) • To be proficient in mathematics, ... Learners need: • To learn mathematics well, ... • Procedural recall: accuracy and fluency in familiar routines • To engage successfully in lessons, ... • To develop procedural, conceptual and utilitarian aspects of mathematics together • Learners also need ... • The ability to interpret and use representations • A range of mathematical knowledge and experience Advisory Committee on Mathematics Education Advisory Committee on Mathematics Education www.acme-uk.org Proficiency in mathematics(2) www.acme-uk.org The Workplace and Higher Education Learners also need : ACME Leads Dr Jack Abramsky Dr Roger Porkess Professor Alice Rogers Senior Researcher Assistant Huw Kyffin Sabrina Paneels Funding The Clothworkers Foundation The Nuffield Foundation • Strategies for problem-solving and hypothesis-testing, including working with current digital technology • Mathematical reasoning • Appreciation of the purpose and usefulness of mathematics, and willingness to use it. Advisory Committee on Mathematics Education Higher Education Methodology • • Advisory Committee on Mathematics Education www.acme-uk.org 15 Universities chosen – By group: 5 each from Russell, 1994, University Alliance, Million+ and Unaffiliated 9 Courses – Physics, Chemistry, Economics, Accounting, Computer Science, Biosciences, Psychology, Criminology, Sociology www.acme-uk.org Higher Education: Key questions • What are the course entry requirements in mathematics? • What mathematics does a course need if it is to achieve international standard? • What mathematics (including statistics) do students need if their are to be successful in their university course? 2 Advisory Committee on Mathematics Education Mathematics Entry Requirements GCSE C GCSE B Advisory Committee on Mathematics Education • The differences in entry requirements for degrees with the same title raises questions. – Are these really the same subject? – Are all the degrees consistent with international standards? • Why has this situation arisen? A Level A Chemistry GCSE C www.acme-uk.org Requirements and Course content Computer Science None Advisory Committee on Mathematics Education www.acme-uk.org GCSE B Advisory Committee on Mathematics Education www.acme-uk.org Key findings from Higher Education Workplace methodology Number of people entering higher education each year who would benefit from recent experience of post-GCSE mathematics • 25 companies chosen – By sector – By size of organisations • Multiple interviewees chosen: – Type of job (9 categories) 330,000 www.acme-uk.org Number of such people supplied by the school/college system 125,000 Advisory Committee on Mathematics Education www.acme-uk.org Workplace : Key questions • How has the jobs profile changed in recent years? • What general mathematical skills are needed by those in employment? • What are the particular mathematical needs for particular areas of employment? Advisory Committee on Mathematics Education www.acme-uk.org Jobs: changing profiles In the workforce there is a steady shift towards jobs with higher skill levels 3 Advisory Committee on Mathematics Education Jobs: changing profiles Fewer jobs 1982 Elementary Skilled Trades 2012 More jobs 1982 4.5m 2.8m Managers 2.7m 4.9m 4.4m 2.8m Professionals 2.0m 4.0m Admin & clerical 3.9m 3.4m 2.4m 4.9m Transport & machines 3.0m 2.2m Associate professionals Sales 1.6m 2.7m Personal services 0.9m 2.9m • To be effective employees need to have studied mathematics at a higher level than they will actually use in the workplace • Many employees have difficulty in applying the mathematics they know • Employees have difficulty in communicating mathematical ideas • Many people lack basic skills in mathematics (and literacy) 2012 www.acme-uk.org Important areas of mathematics in the workplace Mathematical modelling Use of software packages and coping with problems Costing (including allocation and disputes) Performance indicators and the use of ratios Risk Quality control and statistical process control Advisory Committee on Mathematics Education www.acme-uk.org Key findings from the workplace Advisory Committee on Mathematics Education • • • • • • Advisory Committee on Mathematics Education www.acme-uk.org Advisory Committee on Mathematics Education www.acme-uk.org Recommendation 1 Policy on mathematics post-16 should ensure that a large majority of young people continue with some form of mathematics post-16 www.acme-uk.org Recommendation 2 A wider curriculum and provision than exists at present should be developed in order to ensure that all young people are well placed to benefit from their studies in mathematics. Advisory Committee on Mathematics Education www.acme-uk.org Recommendation 7 Additional courses should be developed for the post-16 cohort, so as to extend the current provision to cover the full range of students both in terms of their career aspirations and also their prior attainment in mathematics. The major elements in such new courses should include statistics, problemsolving and working with mathematical models. Sufficient time also need to be allocated for study and assimilation of fundamental concepts. 4 Advisory Committee on Mathematics Education www.acme-uk.org For more information or to send your views • To read ACME’s publications and to sign up to our newsletter: – Website: www.acme-uk.org • Email: acme@royalsociety.org 5