Mathematics seems, on the face of it, a cut and dried subject. But does being able to do mathematics mean: Being competent at techniques Understanding how ideas and techniques fit together Using basic principles in problemsolving Something else or all of these? This book addresses these questions through a definition of learning as transformation in the way that learners perceive or think. Learners increase their choice of actions and develop their powers to think mathematically and their competence and fluency in using specific techniques and language and their appreciation of how ideas fit together.
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Contributors
Douglas Butler, Oundle School has taught secondary Mathematics for many years, where he served as Head of Mathematics and then Head of Careers Education. He also chaired the MEI project in the 1980s. He founded the ICT Training Centre in 2000. This is based at Oundle School, and runs courses all over the UK and abroad, with the aim of helping teachers get to grips with the many possibilities of using computers in the classroom. This Centre also researches and creates resources for the educational use of ICT. He is author of Using the Internet - Mathematics (2000) and co-author of the software Autograph 3 (2004).
Alison Clark-Jeavons, University College Chichester, was formerly an 'advanced skills' teacher of mathematics and is now a senior lecturer at University College Chichester. Alison is researching the effective use of the interactive whiteboard in the mathematics classroom in collaboration with colleagues and teachers and has a particular interest in teachers' professional development with respect to ICT.
Jenny Gage, University of Cambridge, is the co-ordinator of the Motivate videoconferencing project for schools, which is part of the Millennium Mathematics Project. Before this, she was a secondary maths teacher for 15 years. She is also doing research into the use of graphics calculators in the teaching and learning of algebra 11-14.
Dave Hewitt, University of Birmingham, Dave is a Senior Lecturer in Mathematics Education at the University of Birmingham. Before that Dave taught in secondary schools for 11 years including being Head of Mathematics for five of those years. Dave's research interests relate to ways in which the powers all of us possess and used as young children in our early pre-school learning can be accessed and utilised more frequently and effectively within the mathematics classroom. Recently this has led to a particular interest in the teaching and learning of algebra and the use of computer software.
Nicholas Jackiw is the inventor of The Geometer's Sketchpad. He also works as the Chief Technology Officer at KCP Technologies, where Sketchpad and Fathom are under continual development.
Peter Johnston-Wilder, The Open University, has been a secondary maths teacher and a lecturer on courses for intending and in-service teachers. He was jointly editor of MicroMath for six years and is currently conducting research in statistical education.
Sue Johnston-Wilder, The Open University, has been involved with ICT for many years. She was Director of one of the NOF-funded ICT providers. She now works on new courses for teachers of mathematics, and her current research is related to using ICT to meet diverse needs in mathematics education.
Kate Mackrell, Queen's University, Kingston, Ontario, has specialised in the use of interactive geometry software. She worked in computing before going into secondary mathematics teaching. She taught in a variety of contexts before starting to work in teacher education at the University of Brighton. A particular interest has been in the development of mathematical thinking through the use of ICT. She contributed to the development of the ATM Active Geometry files. She is currently studying for a PhD at Queen's University in Ontario, Canada, exploring the use that teachers make of interactive geometry in their detaching.
John Mason, Professor, The Open University, is well known for many books including Thinking Mathematically with Leone Burton and Kaye Stacey and Learning and Doing Mathematics. More recently he has published Practitioner Research Using the Discipline of Noticing. He has a wealth of experience of helping practitioners to develop their own practice, and to turn that into research.
John Monaghan is a lecturer in mathematics education at Leeds University. He has a special intere
"Beginning and established teachers of mathematics as well as teacher educators will all find this book a rich resource when focusing on the crucial issue of designing and using tasks to provoke real learning in mathematics. It has become a central feature of our course in mathematics." — David Wright, Tutor in mathematics education, University of Newcastle.
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