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…
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…
This mathematics book from the Shell Centre, The Language of Functions and Graphs, is now regarded as a classic book on the teaching and assessment of graph interpretation skills. The Language of Functions and Graphs focuses on developing fluency in using various mathematical representations to describe and analyse the real world,…
This box of mathematics materials from the Shell Centre on Problems with Patterns and Numbers has become an influential book on the teaching of problem solving. Problems with Patterns and Numbers focuses on non-routine problem solving in mathematics, and the teaching strategies needed to handle it in the classroom. It is aimed…
In this Shell Centre activity students design make and evaluate 3D paper products including gift boxes and pop-up greetings cards. They explore 3D shape-and-space, making generalisations using words and algebra. In groups, students make a wide variety of pop-up cards, gift boxes and envelopes in order to familiarise themselves with…
In this Shell Centre module, groups carefully design and produce their own board games. These games are then played and evaluated by other class members. This involves developing ideas from 2-dimensional shape-and-space, together with basic concepts of probability. Students play a number of games which have been devised by someone…
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…
In this Shell Centre module students plan and undertake a class trip using costings, scheduling, surveys and everyday arithmetic. In a card game simulation, groups undertake and record imaginary trips, encounter problems and errors of judgement, then seek to correct them by better planning. Groups share ideas of possible places…
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…
In this Shell Centre modlue, Produce a Quiz Show, students devise, schedule, run and evaluate their own classroom quizzes. This involves preparing, timing and testing questions using number and statistical concepts, planning room layouts, and scoring systems. Groups of students take it in turns to act out a number of quizzes, devised…
In this Shell Centre activity, students research and provide expert consumer advice for clients in their class. Students listen to a radio show on audiotape which contains a number of interviews with people who have just bought different items, and an interview with two students who have been involved in producing a consumer report…
This NRICH maths problem offers students a chance to develop strategies for organising and understanding such situations. This is all done within the context of calculating areas and perimeters of rectangles. Mathematics lessons can sometimes feel neatly packaged, with information, techniques, patterns all readily accessible. But…
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,…
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