Description
Book SynopsisHow do children relate to numbers and mathematics? How can they be helped to understand and make sense of them? People are rarely ambivalent towards mathematics, having either a love or hate relationship with the subject, and our approach to it is influenced by a variety of factors. How we are taught mathematics as children plays a big role in our feelings towards it. Numbers play a large part in our lives, and it is therefore beneficial to inspire a positive attitude towards them at a young age.
With contributors comprised of teachers, teacher educators, mathematicians and psychologists, Mathematical Misconceptions brings together information about pupils′ work from four different countries, and looks at how children, from the ages of 3 - 11, think about numbers and use them. It explores the reasons for their successes, misunderstandings and misconceptions, while also broadening the reader′s own mathematical knowledge. Chapters explore:
- the seemingly paradoxical number zero
- the concept of equality
- children′s perceptions and misconceptions of adding, subtracting, multiplying and dividing
- the learning process
- the ways in which children acquire number concepts.
This unique book will transform the way in which primary school teachers think about mathematics. Fascinating reading for anyone working with children of this age, it will be of particular interest to teachers, trainee teachers and teaching assistants. It will show them how to engage children in the mysteries and delights of numbers.
Trade Review′This book is a really interesting and useful volume...Each chapter has many questions, helpfully highlighted in boxes, so that the reader has the opportunity to pause and reflect. For me these questions turn this book from being good to excellent. Encouragingme to take the time to think about my own practice helps this book ask difficult but interesting questions. [It] is clearly aimed at primary teachers but I′m sure that secondary teachers would benefit hugely from this as well...I′m sure it will prompt useful and interesting discussions′ -
Association of Teachers of Mathematics ′As a secondary teacher of mathematics I′ve found this a remarkable insight into the student′s thinking - giving me clear background information to help me think about my classes and their misconceptions and how I could help the children develop their thinking′ -
Association of Teachers of Mathematics
-- H.P. Koirala * CHOICE magazine *
′This book is a really interesting and useful volume...Each chapter has many questions, helpfully highlighted in boxes, so that the reader has the opportunity to pause and reflect. For me these questions turn this book from being good to excellent. Encouragingme to take the time to think about my own practice helps this book ask difficult but interesting questions. [It] is clearly aimed at primary teachers but I′m sure that secondary teachers would benefit hugely from this as well...I′m sure it will prompt useful and interesting discussions′ -
Association of Teachers of Mathematics ′As a secondary teacher of mathematics I′ve found this a remarkable insight into the student′s thinking - giving me clear background information to help me think about my classes and their misconceptions and how I could help the children develop their thinking′ -
Association of Teachers of Mathematics
Table of ContentsZero: understanding an apparently paradoxical number - Anne d Cockburn and Paul Parslow-Williams Equality: Getting the right balance - Paul Parslow-Williams and Anne D Cockburn Beginning to unravel misconceptions - Sara Hershkovitz, Dina Tirosh and Pessia Tsamir Insights into children′s intuitions of addition, subtraction, multiplication and division - Dina Tirosh, Pessia Tsamir and Sara Hershkovitz Right or Wrong? Exploring misconceptions in division - Pessia Tsamir, Sara Hershkovitz and Dina Tirosh Developing an understanding of children′s acquisition of number concepts - Anne D Cockburn Highlighting the learning processes - Graham Littler and Darina Jirotkova Everyday numbers under a mathematical magnifying glass - Carlo Marchini and Paoloa Vighi
