'This is an incredibly interesting and thought provoking book. Intended for anyone interested in developing their own mathematical thinking, or of the students they teach, whether at a primary level or right through to FE. The book is a delightful blend of theory and practice - encouraging the reader to participate, to solve problems and to develop their own thinking' - Peter Hall, Imberhorne School, East Grinstead‘ Mason, Graham, and Johnston-Wilder have admirably succeeded in casting most of school algebra in terms of generalisation activity? not just the typical numerical and geometric pattern-based work, but also solving quadratics and simultaneous equations, graphing equations, and factoring. The authors raise our awareness of the scope of generalization and of the power of using this as a lens not just for algebra but for all of mathematics!’ - Professor Carolyn Kieran, Departement de Mathematiques, Universite du Quebec a Montreal Algebra has always been a watershed for pupils learning mathematics. This book will enable you to think about yourself as a learner of algebra in a new way, and thus to teach algebra more successfully, overcoming difficulties and building upon skills that all learners have. This book is based on teaching principles developed by the team at The Open University's Centre for Mathematics Education which has a 20-year track record of innovative approaches to teaching and learning algebra. Written for teachers working with pupils aged 7-16, it includes numerous tasks ready for adaption for your teaching and discusses principles that teachers have found useful in preparing and conducting lessons. This is a 'must have' resource for all teachers of mathematics, primary or secondary, and their support staff. Anyone who wishes to create an understanding and enthusiasm for algebra, based upon firm research and effective practice, will enjoy this book. This book is the course reader for The Open University Course ME625 Developing Algebraic Thinking
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Develop algebraic thinking by exploring and conjecturing about patterns; verbalising relationships; making generalisations; symbolising relationships; working with functions and making connections between the real world and algebraic ...
The 2nd-grader Lena (8 years old) mentioned specific numbers for the amounts of marbles in both boxes: “In the green box are three marbles and in the orange box are two marbles.” Other children wanted to shake the boxes to hear how many ...
251, citing the work of Hershkowitz & Schwarz, 1999 as well as Heid, 1996 2 Lloyd & Wilson, 1998, p. 270 3 Lloyd & Wilson, 1998, p. 270. Based on Stein, Baxter, & Leinhardt, 1990 4 Hatisaru & Erbas, 2010; Hollar & Norwood, ...
Read a sample chapter from Fostering Algebraic Thinking (requires Adobe Acrobat Reader)! Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping...
Helps you formulate a solid foundation for understanding algebra.
This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand.
Developing Algebraic Thinking: Teacher's Guide
In Children's Mathematics: Cognitively Guided Instruction, Thomas Carpenter, Megan Franke, and Linda Levi helped tens of thousands of teachers understand children's intuitive problem-solving and computational processes. More important, the authors...
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra.