Solving Real Problems with Mathematics Volume 2
Volume two of two publications produced by the Spode Group with the aim of providing a useful set of examples that are convincing applications of mathematics and applications which can be taught in schools. This volume contains case studies with three distinct components: problem statement, teaching notes and possible solutions. Volume…
Statistics and Probability
This book, 'Finding out', from the Shell centre offers a range of materials designed to support students as they pursue extended tasks relating to statistical investigations. The analysis of real data which is of some personal significance can be much more rewarding for students than the completion of exercises containing…
Teacher's Guide and Impact
The teacher’s guide from the Shell Centre which accompanies the series of modules to support school-based assessment is the main guide to the materials. It makes some suggestions as to how the materials might best be used. It was not intended that this guide should be read from cover to cover at the first attempt but was designed…
Pure Investigations
These two books from the Shell centre focus on the pure investigations. The pure investigation tasks are, perhaps, rather different from the other two main types of extended task, those of a practical nature and those of an applied nature, in the sense that they allow students to seek out the pattern and beauty of mathematics without…
Applications
These two books from the Shell Centre focus on applications. The tasks are intended to stimulate students' interest in, and understanding of, the world in which they live. As they pursue these tasks students will be involved in selecting materials and mathematics to use for their chosen task, checking they have sufficient information,…
Practical Geometry
These two books from the Shell Centre are part of the Extended Tasks for GCSE Mathematics support material produced for students as they pursued practical geometry tasks within any mathematics scheme. The practical geometry tasks were intended to stimulate students' interest in, and understanding of, the three-dimensional world…
Solving Real Problems with Mathematics Volume 1
Volume one of two publications produced by the Spode Group with the aim of providing a useful set of examples that are convincing applications of mathematics and applications which can be taught in schools. This volume contains case studies with three distinct components: problem statement, teaching notes and possible solutions.…
Leapfrogs Action Books
This series of books from Leapfrogs offers a collection of explorations and investigations on a particular theme. In content they are less restricting than a simple work card. The Action Books are: Animations - slidescopes, flip sheets, zig zags, flick books, multi exposures transformations, enlargements, translations, rotations…
Investigations in Mathematics
This resource provides a wealth of ideas and inspiration for teachers looking to enrich the curriculum with investigative mathematics. There is a mix of examples drawing out the mathematics from a wide range of everyday objects and activities. The activities are split into six units. In Search of patterns: includes mathematical…
Problems for the Early Secondary Years
These four sets of problems, from the Nuffield Mathematics Project, have been designed for young secondary-school students. It was hoped that teachers would find them useful in conjunction with the main work described in the teachers' guides. The majority of the problems are investigative. It was felt that the majority of students…
More Ideas for Coursework Activities
This book followed the introduction of the Century Maths Scheme. It was published to give teachers and students the opportunity to choose an interesting context in which to use mathematics for GCSE coursework. Students may have had a special interest in, say, photography, boats or farming, in which case they could choose accordingly. There…
Engaging Mathematics 3
The third booklet in the Engaging Mathematics series, from the Mathematics Centre at the University of Chichester, invites the reader to consider different ways of looking at situations. Being able to relate to situations, experiences, structures, language and form is an important feature of learning. This is particularly so in mathematics…
Engaging Mathematics 2
Engaging Mathematics 2, produced the Mathematics Centre at the University of Chichester, invites the reader to reflect on their own mathematical activity. Do you tackle mathematics by turning to paper and pen, the computer, experimental apparatus or think in images and/or symbols? It is likely that the reader uses each process at…
Engaging Mathematics 1
Engaging Mathematics 1, produced by the Mathematics Centre at the University of Chichester, first invites the reader to ask questions that relate to given situations. Mathematical growth often mirrors the questions and problems posed at the time. The reader is taken through some past developments in order to reflect on how aspects…
Making a Start
This booklet, the Mathematics Centre at the University of Chichester, is about beginnings. Here teachers and students are tackling unfamiliar interactions as the students are playing games, investigating, discussing and problem solving. The contributing teachers all met initially as members of courses run by the Mathematics Centre,…
Mathematics with Eight and Nine Year Olds
This booklet, from the Mathematics Centre at the University of Chichester, contains accounts of how some students aged eight and nine became involved in starting to carry out some of their own mathematical explorations. The accounts focus on the first hour or so of five different sessions. A range of examples of students'…
Openings
This booklet, the Mathematics Centre at the University of Chichester, contains some ideas that Marion Bird has used with reception children, aiming to involve them in activities and encouraging them to participate in steering the direction of their early mathematical activities. The teacher's role in using and developing…
Section 4: Getting Started
This section of the Teachers Evaluating and Assessing Mathematics (TEAM) project, produced by the Mathematics Centre at the University of Chichester, contains ideas, approaches, lists of useful resources and teachers' comments about their personal experiences. The aim is to develop a whole approach and attitude to learning…
Fashion Entrepreneur
Scheduling jobs in a fashion workshop is the context for this Nuffield exploration. There are six people in the workshop and a series of jobs to be completed in one day. The key processes which developed include: • Representing - identifying factors that affect decisions, producing a clear plan for the six people who contribute…
Paper Sizes
In this Nuffield investigation students study paper sizes in the A and B international series, exploring relationships within each series and between the series. The key processes are: • Representing - identifying the mathematics involved in the task and developing appropriate representations. • Analysing - working…
Corner to Corner
In this Nuffield activity students investigate how different numbers of squares can be joined corner to corner and the effect their arrangement has on the area of the rectangle that encloses the squares. The key processes developed in this activity are: • Representing - determining which aspects to investigate and record,…
5/5- Publication year: 2010 to date
- Interactive resource
Ferries
This Cre8ate maths activity allows the opportunity to discuss the modelling function of mathematics. The tasks allow students to develop their own strategies and to consider the idea of an ‘efficient’ algorithm. In addition, 'First fit and full bins' activity involves work on ratio and pie charts.
Brush Loads
This NRICH maths activity is a very practical as well as a visual situation. It can help pupils' development of the concepts associated with area - surface area. Pupils will need to imagine they have a whole collection of cubes and they 're going to paint the outside that's visible once they 've put them together.…
Chocolate
This NRICH maths problem is an excellent problem for helping youngsters to develop their concepts of fractions It's not so much to do with arithmetical manipulation of fractions but more to do with youngsters exploring and developing their ideas of fractions. It involves visualising and calculating mentally. Reasoning skills…
- 5/5
- Publication year: 2000 - 2009
- Open-ended task
Make 37
This NRICH maths investigation offers learners the chance to apply basic number properties and operations, and will challenge the idea of mathematical problems having one right answer. This activity is an opportunity to encourage children to generalise and, even at this level, they can be asked to prove these generalisations. They…
- 5/5
- Publication year: 2000 - 2009
- Open-ended task
Magic Vs
In this maths activity from NRICH children will have to place each of the numbers 1 to 5 in a V shape so that the two arms of the V have the same total. This problem gives opportunities for children to make conjectures, prove these conjectures and make generalisations. They will be practising addition and subtraction, and applying…
- 5/5
- Publication year: 2000 - 2009
- Open-ended task
Of All the Areas
This NRICH mathematical problem is about the areas of equilateral triangles. Students will need to measure the area different triangles but in triangles rather than squares. They will need to look for any emerging patterns which might lead to non-linear sequences that need explanation. They will need to use their visualising skills…
Passport
This resource, provided by the Association for Science Education (ASE) and part of the SYCD Science Year Who am I? collection, is a template for successful bridging projects.It is designed as transition activity for students moving from primary to secondary school. By collecting visas for skills and investigations to carry forward…
Eggnaut
In this resource from ESA, students' mission is to design and build a vehicle that will protect their Eggnaut from the perils of re-entry from space. The objective is to have your Eggnaut survive the fall without a crack. The project can be adpated for either primary or secondary students. The resource was produced by Spaceweek…
Nappy Changing Challenge
The Nappy Changing Challenge from Cre8ate maths provides real data about students for analysis. They undertake a timed, practical, exercise of folding a towelling nappy and putting it onto a toy baby doll. Throughout the task students complete a form for the Nappy challenge and record their completed data in an excel file. The…
More Miles for Your Money
Based on information and guides provided by the Department of Transport, this Cre8ate maths activity introduces the cost benefits of improving the aerodynamics of the cab section of a truck. Mathematical connections involve using calculators and spreadsheets to work on conversions and percentages in the context of a complex multi-step…
Playground Design
This activity from Cre8ate maths involves students in designing a playground. They will have to decide upon a suitable outdoor space and consider key features relevant to their design. Scaled templates can be used to trial several layouts giving consideration to safety needs, sight lines for supervisors, buffer zones between different…
- 4/5
- Publication year: 2010 to date
- Activity sheet