MEI Newsletter Mathematics in Education and Industry From the Chief Executive ► A level developments ► Core Maths ► GCSE Mathematics Sample Assessment Materials ► New professional development courses for Key Stage 3 and 4 teachers Inside this issue: ► MEI conference A level developments Now the election is over, we can be sure that the new mathematics A levels will start for first teaching from September 2017. We are hard at work preparing the new MEI specification and developing extensive, enhanced new resources for Integral. Read more about this in Stella Dudzic’s (page 6) and Richard Lissaman’s articles later in this newsletter (pages 6 and 7). The ‘Cambridge Maths Education Project’ is developing free online enrichment resources to enhance A level Mathematics teaching; MEI is running free professional development courses to promote their use. Please see Bernard Murphy’s article (page 5) for more details. Core Maths If you are not aware of it, ‘Core Maths’ is an important new qualification aimed at June 2015 students who pass GCSE Maths by age 16 but who do not choose to take AS/A level Maths. You can find out more on the Core Maths Support Programme’s website. The first examinations in Core Maths take place in summer 2016. ‘Early Adopter’ schools and colleges are already teaching Core Maths and many more will start to do so from this September. MEI has developed a large bank of free resources to support Core Maths, along with CPD courses to help teachers. Please see Stella Dudzic’s and Terry Dawson’s articles (pages 6-7) to find out more. I think Core Maths is a really important development that can improve the maths education of the nation and I hope that it quickly becomes established as an important qualification that is highly valued by higher education and employers. GCSE Mathematics Sample Assessment Materials There has been considerable controversy over the Sample Assessment Materials (SAMs) for the new mathematics GCSE that were published by the awarding organisations during the Autumn term. The SAMs seemed to be inconsistent with one another, both in terms of difficulty and in how they had interpreted the new curriculum. Serious concerns were expressed to Ofqual by the maths community, including by MEI. I am pleased to say that these concerns were taken seriously by Ofqual, who undertook detailed research to compare the different SAMs. As a result of this research, the awarding bodies have been given additional guidance and asked to develop new SAMs by the end of June. Continued on page 2 MEI Conference 2 Teaching Advanced Maths 2015-16 4 FRESH professional development 5 The Cambridge Mathematics Education Project 5 New A levels in Mathematics and Further Mathematics 6 Core Maths and Core 6 Maths CPD New Integral online resources for A level 7 Trialling resources for 7 MEI FP1 Teaching Statistics 8 Post-16 GCSE Maths 8 contextualisation toolkit Maths Pipeline 8 NANAMIC conference 8 London Maths Hubs conference 9 Douglas Quadling OBE 9 FMSP Update 10 Page 2 MEI Newsletter GCSE Mathematics Sample Assessment Materials (con tin ued fro m page 1) I advise schools not to rush into a decision about which GCSE Mathematics specification to choose (the decision does not need to be made for some time since the new qualifications will not be examined until summer 2017), and to base their decisions on the level of service offered by the awarding body, rather than on any perceived differences in difficulty of published SAMs. New professional development courses for Key Stage 3 and 4 teachers MEI conference This year’s MEI Conference is at the University of Bath and the programme is looking very exciting. MEI has developed a new suite of ‘FRESH’ CPD courses aimed at secondary maths teachers. Places and sessions are filling fast! Like all MEI courses they are both practically focused on the classroom and mathematically inspiring! See Debbie Barker’s article (page 5) for more details. See Bernard Murphy’s article below for more details. Charlie Stripp Chief Executive Email Charlie MEI Conference sponsored by It’s best to register for sessions online in advance—many are filling up fast! Here’s just a taster of what’s on offer: KS3 and KS4: ► Planning for The MEI Conference is coming up and this year we’ll be at The University of Bath from June 25 to 27. The deadline for registration is 15 June, and website registration is now closed, so if you wish to register please email Lynn Baldock at the MEI office to enquire about availability. Assessment for learning ►Problem solving at KS3&4 Pure Mathematics: ►The aspirational grade E student As ever we’re excited about the programme. In addition to plenaries from David Bedford, Hugh Hunt and Neil Sheldon, and an after dinner speech from the ever-entertaining Colin Wright, we believe there’s something to appeal to every mathematics teacher. ►5 STEP and MAT questions that could be used in any A level Mathematics class Continued on page 3 Page 3 J une 2 0 1 5 MEI Conference (continued from page 4) Mathematics: ►The mathematics of sailing ►Revisiting Mechanics in Action Core Maths: ►Don't believe everything you read in the papers ►Statistical insight through data visualisation tools ►Using graphing technology in GCSE Maths ►Teaching calculus using graphing technology ►Active learning with GeoGebra ►Statistical insight The Delegate Challenge will take place on Friday, in and around the exhibition. We are grateful to Hodder Education, Science Studio, Purple Office and OCR, who have each sponsored aspects of the conference, in addition to our main conference sponsor, Casio. For further details please see: conference.mei.org.uk We look forward to seeing you at the University of Bath. through data visualisation tools Education and Training Sector: ►Connecting learning to the world of work ►Improving student attitudes to maths A few of the comments we received at the 2014 conference: Mathematicians: ►Florence Nightingale ►John Conway ► Leonhard Euler Current Issues in Mathematics Education: ►New linear A levels in Mathematics ►Girls & Maths: issues and solutions The Exhibition provides a valuable opportunity to meet representatives from organisations supporting mathematics teaching, and to view demonstrations and samples of new products and services. “Thank you for an excellent conference. I feel as if I have been on an illuminating journey of mathematical discovery!” “The MEI Conference is always inspirational and every session I attended was great!” Beauty and Harmony “Very impressed with everything – food, venue, talks, organisation, accommodation. Fantastic!!” We’ll also have a series of sessions to support you in developing the use of graphing technology in your teaching: “I have had a fantastic 3 days at the conference so thank you all very much. I’ve learned so much and had fun too.” Enrichment: ► 17 wallpaper patterns ►Music, Maths, Bernard Murphy Programme Leader (Teacher Support) Email Bernard Page 4 MEI Newsletter T e a c h i n g Ad v a n c e d M a t h e m a t i c s ( T AM ) i n 2 0 1 5 - 1 6 “The TAM days always give me something to think about and apply to my teaching and always help me to teach in a way that joins the dots in A level in ways I have never seen.” “The observations have been supportive and given me confidence in my own teaching as well as areas to work on.” “Rather than just specific resources/ activities, I am appreciating the new way of approaching encouraging students to deepen their understanding.” “By far the best CPD I've ever been involved with.” “The course changed my thinking about the way of A level teaching. I would truly recommend this course to all of my colleagues.” These are just a few of the comments shared with us by teachers who are currently studying the TAM course. We are, therefore, excited to announce that we are now recruiting for the Masters version of the 2015-16 course. TAM is run by MEI in partnership with universities from around the country and provides sustained high quality professional development focussed on A level Mathematics subject knowledge and pedagogy. The course includes the following elements. ►8 course days hosted by one of 6 different universities; ►approximately 20 online sessions focussed on subject knowledge enhancement in the core units of AS/A level Mathematics; ►2 developmental The course costs just £600 but with a £1200 refund upon completion as well as free Masters-level credits it is clearly excellent value for money! The application form can be found at mei.org.uk/tam along with further information and frequently asked questions. lesson observations conducted by experts in A level Maths teaching; ►3 years’ free access to the ‘Integral’ online resources; ►the opportunity to participate in Applied Mathematics course days (Mechanics, Statistics & Decision Maths) and online follow-up sessions; ►unlimited email support. Simon Clay TAM Co-ordinator Email Simon Page 5 J une 2 0 1 5 FRESH professional development for mathematics teachers specific areas of practice. The new family is called FRESH. MEI is pleased to announce the exciting development of a new family of professional development courses for teachers of mathematics at Key Stages 3 and 4. These courses have been developed in response to requests from experienced teachers wanting the opportunity to meet with others for a day of inspiring training in Five one-day courses are in development. Each day is standalone but can be combined with other titles to form a complementary and bespoke programme of professional development. For information about courses available from Autumn 2015, please go to mei.org.uk/fresh or contact course leader Debbie Barker. Please also contact Debbie if your school, college or Hub is interested in hosting a FRESH day in 2015/16. Debbie Barker CPD Coordinator for KS3 & 4 Email Debbie The Cambridge Mathematics Education Project (CMEP) The Cambridge Mathematics Education Project (CMEP) is a new initiative, funded by a grant from the DfE, which aims to enhance advanced post-16 mathematics education. A p r o b l e m f r o m t h e C ME P r e s o u r c e s The diagonals of the square ABCD meet at O. The bisector of angle OAB meets BO and BC at N and P respectively. The length of NO is 24. Currently in the development phase, the project will provide innovative resources to help support and inspire at mei.org.uk/cmep. Dates for next term will be published shortly. If you would like to host this 2-day course for teachers in your region please contact me. Bernard Murphy How long is PC? How many ways can you find to answer this question? Programme Leader (Teacher Support) Email Bernard Page 6 MEI Newsletter New A levels in Mathematics and Further Mathematics for teaching from September 2017 New A levels in Mathematics and Further Mathematics are due for first teaching from September 2017. MEI has produced a downloadable PowerPoint to lead you through the changes – this is also available on YouTube. You will also find Ofqual’s timelines for GCSE and AS and A level change useful; there is further information in the Ofqual blog where you will also find the opportunity to sign up to receive the Ofqual newsletter. We are currently developing new MEI specifications in Mathematics and Further Mathematics. If you would like to trial some of the new assessment questions we are working on, please contact Keith Proffitt. Keith Proffitt Curriculum Developer for MEI Email Keith Thinking of teaching MEI Core Maths qualifications? MEI and OCR will be running free network events to provide information about our Core Maths qualifications and introduce teachers to the free resources available for teaching them. The events will take place in the afternoon or in twilight sessions and will last approximately two hours. We could run an event at your school or college – as well as the convenience of us coming to you, OCR is willing to pay a small fee to cover your expenses in hosting the event. If you are interested in hosting an event in the summer term, please contact Stella Dudzic. Video presentations from the national launch of the qualifications and lesson videos are available on the OCR Core Maths playlist on YouTube. Free resources for teaching the MEI Core Maths qualifications are available thanks to sponsorship from OCR. If you are intending to teach the qualifications, register to gain access to the resources; these will be finalised by September but are already proving to be a valuable resource for the early adopters of Core Maths. OCR is running a series of free half-day expo events giving updates about changes to qualifications. Presentations about Core Maths and the EPQ are included. Details are on the OCR CPD hub. Stella Dudzic Programme Leader (Curriculum and Resources) Email Stella Some thoughts on assessment emerging from the Starting to Teach Core Maths CPD I have written in previous newsletters about some of the resources MEI has developed as part of the Critical Maths project. You can see how these free resources link to the new Core Maths qualifications on the website. Now that the new Core Maths Qualifications are being taught, this raises the question of how to formatively assess the progress and development of learners. The practice of assessment is well established at GCSE and A level but Core Maths is different. Many of the Core Maths questions require students to be able to do calculations or make estimates and then use these to draw conclusions. Firstly this raises the question, what constitutes a good answer? Is it the one which demonstrates the most complicated maths? Is it the one which uses the least complicated maths and reaches a valid conclusion? Continued on page 7 Page 7 J une 2 0 1 5 Some thoughts on assessment emerging from the Starting to Teach Core Maths CPD (continued from page 6) When considering this question at a recent professional development session we came up with the following list of attributes: ►Assumptions should be explained and there should be a commentary which allows the reader to follow the reasoning behind the estimate. ►A quick, “good enough” solution was better than an overcomplicated timeconsuming calculation. ►There should be some flexibility in the magnitude of the answer for an estimate - one student may think a large city has a population of 250 000 whilst to another it would be 2 or 3 million. One approach which you may wish to consider when assessing a topic such as estimation is to decide on the key properties of a strong solution. Then decide on the minimum you would expect from a weak solution in order to show any understanding. Now decide how an intermediate solution would appear and you have three levels of progression. This approach can be used with many such topics to provide formative assessment. We are hoping to run some more ‘Starting to Teach Core Maths’ CPD at the end of the summer term. This is suitable for any Core Maths qualification and we have been able to offer the CPD free of charge this academic year thanks to DfE funding and generous cooperation from hosting schools. See mei.org.uk/coremaths-cpd for dates. Terry Dawson Curriculum Developer for MEI Email Terry Developing online resources for the new A levels in M athematics and Further M athematics Work is well underway to develop Integral online resources ready for the new A levels in Mathematics and Further Mathematics for teaching from 2017. As you will be aware, MEI has a significant role in keeping teachers up to date with such curriculum change and its implications. This knowledge and experience is feeding into our work to develop Integral. As well as the restructuring of Integral to match the 2017 specifications and their new requirements, expect to see new teaching activities, more problem-solving exercises and some brand new interactive resource types appearing in Integral soon. Subscribers will be able to access selected new resources in Integral when they are developed. For more information about Integral, please visit integralmaths.org. Richard Lissaman Online Resources Coordinator Email Richard Trialling resources for M EI FP1 We would like to trial some new resources for MEI FP1 from September 2015. These are in the form of videos and interactive worksheets. They will be ideal for teachers who want to try a flipped-classroom/ blended learning approach or to support students who are selfstudying. If you are interested in trialling these materials, or want to find our more, please email Tom Button. Tom Button Student Support Leader (FMSP) Email Tom Page 8 MEI Newsletter Teaching Statistics Teaching Statistics (TS) is a new professional development course starting in July 2015 for teachers wishing to develop their own subject knowledge and classroom practice. The course aims are as follows: ►to gain a deep understanding of statistics as a problemsolving discipline ►to develop statistical modelling skills ►to develop confidence in working with real data using software ►to improve statistical subject knowledge ►to build on existing pedagogical skills The course will run from July 2015 to January 2016 with two study days, online sessions and Integral resources written specifically for the course. There is also an optional opportunity to study at Masters level and gain 30 credits. Further information and a link to the booking form can be found on the FMSP website or by contacting Sue de Pomerai. Sue de Pomerai Deputy Programme Leader (Further Mathematics Support Programme) Email Sue New post-16 GCSE Mathematics contextualisation toolkit MEI has produced a new toolkit designed for teaching practitioners involved in planning and delivering post-16 GCSE Mathematics. This is available at mei.org.uk/ contextualisationtoolkit. The toolkit encourages greater use of contexts in post- 16 GCSE maths teaching and learning. It supports practitioners in developing and using their own contextualised resources, and encourages them to share these and to adapt and use those that others have developed. The toolkit was developed with funding from the Department for Education and in partnership with the Association of Employment and Learning Providers. In developing the toolkit, we worked closely with a range of providers from the Education and Training sector. This programme is funded by the Education and Training Foundation, and includes post-16 GCSE Mathematics and the maths embedded in vocational teaching and learning. AELP has produced a similar toolkit for post16 GCSE English teaching practitioners, which is available on the AELP website. Maths Pipeline MEI is currently working with on the development of guides and video clips to accompany a programme of maths CPD workshops that is currently being rolledout by the NCETM. Details of the workshops are available on the NCETM website. The guides and video clips will be available by the end of July. Janice Richards Programme Leader (Business Development and Communications) Email Janice N AN AM I C An n u a l C o n f e r e n c e a n d C P D W o r k s h o p s ►City and Islington College, London Thurs 2 July 2015 ►National STEM Centre, York Wed 8 July 2015 Both conferences will run from 10:00-16:00. Keynote Speaker: Rachael Horsman, Comberton Village Academy. Rachael is an Advanced Skills Teacher, a Subject Leader in Education and well known for creating interesting resources which make students think. Booking forms and further information are available from the NANAMIC website. Page 9 J une 2 0 1 5 London Maths Hubs conference incorporating the second MEI LSEF problem solving conference curriculum and raising standards in school mathematics. A conference showcasing the way London’s six Maths Hubs and MEI are working together with maths teachers across the capital, supporting maths teaching, addressing the challenges of the new This event will take place on 9 July at Chobham Academy, Newham. For more information and to register please visit the event web page. Phil Chaffé Central Coordinator (Further Mathematics Support Programme) Email Phil Douglas Quadling OBE Though Douglas Quadling was not specifically an "MEI man", it is fitting that we should record, with much regret, his death on 25 March 2015 after a short illness. His funeral took place in Cambridge in April. Douglas was a truly great man in mathematical education, particularly at school and college level. The ideals he espoused and those of MEI are largely identical. Douglas enjoyed a long career, notably at Marlborough School where he was Senior Mathematics Master for many years. He was the author, on his own or with others, of countless mathematics books: far too many to name even a small proportion, but those of us who are old enough will particularly fondly remember 'Quadling and Ramsay' – which Douglas, with typical modesty, always referred to as "Ramsay's book". But he is likely to be best remembered as one of the four original progenitors of the School Mathematics Project, which truly revolutionised mathematics teaching in Britain. The SMP can be traced to conferences at Oxford in 1959 and Southampton in 1961, but the impetus for driving it forward famously came from a meeting in a garden in Winchester in 1961 between Douglas, H Martyn Cundy, Tom Jones and Professor (later Sir) Bryan Thwaites. The 1960s became a heady period for innovative curriculum development; it was also of course when MEI was born, among several other Projects. Over the years, these Projects have mostly served their purpose and ceased to operate – MEI being of course the great and glorious exception – and the SMP itself eventually turned into something rather different. But this does not in any way detract from the astonishing innovative insight of Douglas and the others in setting it up. Douglas became a senior examiner and eventually Chairman of Examiners for the Oxford and Cambridge Schools Examination Board and its successor bodies which led to our present OCR. In this capacity he became very close to MEI. Several of us, in our various capacities as examiners, have worked with him. Meetings chaired by Douglas were always an intellectual adventure. It is fair to say that they sometimes strayed from the narrow point under discussion, but always to go on a journey that would take you to unanticipated rich veins of mathematical thought and ideas. No-one can know how many examination questions started out in this way! He was also in great demand by the regulatory authorities as a leader of research teams, and was renowned as an afterdinner speaker at many mathematical events. School-level mathematical education is the poorer for his passing. Gerald Goodall Chair of MEI’s Board of Trustees Douglas Quadling had a direct impact on my mathematical development. He was involved in setting the SMP A level Mathematics examinations that I took in 1983. I was fortunate enough to be introduced to him about 15 years later. Incredibly, he was able to remember some of the questions from the 1983 examination papers! Charlie Stripp Page 10 MEI Newsletter Further Mathematics Support Programme Senior Team Mathematics Challenge 2014/15 60 STMC regional heats took place during November 2014, organised by FMSP Area Coordinators and Associates and by the UKMT, with sponsorship from Rolls-Royce plc. Each year the competition grows and this year 1150 schools/colleges entered a team. Teams consist of four students, with no more than two from year 13. Of these around 175 schools/colleges were entering the competition for the first time, of which 150 were state-funded schools. The challenges and problems produced for the STMC provide excellent materials to help students to develop mathematical problem solving skills. Past materials are available from the FMSP and the UKMT websites. The National Final of the STMC took place at the Royal Horticultural Halls in London on February 3 2015. The final got underway with the poster competition. This year the theme was ‘Mathematics of the Solar System’. Details about the topic were sent to schools a few weeks before the final to enable students to research and think about their poster design. In the main competition the standard was very high, with several teams picking up maximum marks in at least one of the three rounds. The Crossnumber proved to be the most challenging round this year, but even it could not separate the teams at the top and the final result was a three-way tie for first place. The prizes were presented by Dr David Acheson of Oxford University, who congratulated all the finalists on their outstanding achievements and warned them against dividing by zero. Prizes were donated by Dr Andrew Jobbings of Arbelos Designs, who also helped judge the poster competition. STMC 2014/15 National Final Results 1st – Hampton School, London 1st – King Edward's School, Birmingham 1st – Harrow School Poster Competition Results 1st – Dunblane High School 2nd – Oakham School 3rd – Reading School Paul Chillingworth FMSP Central Coordinator Email Paul Continued on page 11 Page 11 J une 2 0 1 5 Better access to A level F urther Mathematics and problem-solving support There has been a great improvement in the access to Further Mathematics teaching over the last 10 years. Ten years ago the proportion of all statefunded schools and colleges in England offering A levels that had students taking A level Further Mathematics was only 40%. DfE data show that last year this proportion had risen to 66%. The actual number of institutions offering A level Further Mathematics has risen by 80% in ten years. Through a programme of support to schools and colleges, professional development for teachers and promotion of the benefits of studying Further Mathematics to thousands of students each year, the FMSP has helped many institutions to set up courses and sustain the teaching of Further Mathematics. In an article in Mathematics Today Kevin Lord and Charlie Stripp describe in more detail the improvement in access to Further Mathematics teaching. Teachers are now more aware of the requirements for students who aspire to study mathematics and other STEM subjects at leading universities. In addition to supporting the establishment of Further Mathematics, the FMSP has increased its support for students who wish to improve their mathematical problem solving skills either as preparation for the STEP, AEA or MAT examinations or as preparation for university study. This year the FMSP has started a number of regular problemsolving courses. These take place either weekly or fortnightly and use specially prepared materials including starting activities, worked examples and student workbooks. Students attending these classes are also provided with the UKMT book “The Problem Solver’s Handbook”. These courses run for between 8 and 15 weeks and are often organised in partnership with a university. The year 12 classes focus on developing mathematical problem solving skills from the ground up and feature sample problems from the UKMT, NRICH, the Liverpool Fun Maths Roadshow and the FMSP. These courses lead up to students tackling problems from the MAT examination. The year 13 classes focus on the STEP and AEA examination materials with additional content from the FMSP. These classes have been based in 16 universities and one school around the country and have been attended by more than 250 students. The FMSP is working with the NCETM and the Maths Hubs to increase participation in A level Mathematics and Further Mathematics. In March, the FMSP organised a meeting of the work group leaders of the Hubs’ National Collaborative Project to increase level 3 participation in mathematics. Recommendations from the UCL Institute of Education research into encouraging more girls to take mathematics were shared; this is an important issue – only 40% of those taking A level Maths are girls. For Further Maths, the proportion is only 30%. The initial case study information has been published and is available from the FMSP website. The FMSP has also prepared a briefing document summarising the findings which includes DFE participation data and this can also be found on this web page. Kevin Lord Programme Leader (FMSP) Email Kevin Mathematics in Education and Industry Monckton House Epsom Centre White Horse Business Park Trowbridge Wiltshire BA14 0XG Phone: 01225 776776 Fax: 01225 775755 E-mail: office@mei.org.uk Company registration number: 3265490 Websites: MEI: mei.org.uk FMSP: furthermaths.org.uk MEI conference: conference.mei.org.uk Integral mathematics resources: integralmaths.org Facebook: facebook.com/MEIMaths Twitter: twitter.com/MEImaths twitter.com/MEIConference About MEI Mathematics in Education and Industry (MEI) is a membership organisation and a charity. Since the 1960s, MEI has worked to support mathematics teaching and learning. Any income generated through MEI’s work is used to support mathematics education. MEI emphasises understanding and enjoyment of mathematics and also highlights the importance of mathematics in industry and commerce. MEI pioneers the development of innovative teaching and learning resources, including extensive online materials to support all major examination syllabuses. MEI offers teachers of all GCSE and A level specifications a range of continuing professional development (CPD) courses, provides specialist tuition for students and works with industry to enhance mathematical skills in the workplace. There is a network of MEI branches around the country, offering local support for teachers. MEI’s popular A level specification is administered by OCR, with MEI taking responsibility for the curriculum, and providing course textbooks published by Hodder Education. support for teachers of AS/A level Mathematics and Further Mathematics in schools and colleges throughout England. MEI manages the government-funded Further Mathematics Support Programme, providing advice and © MEI 2015