基本説明
Provides lots of examples from real classroom situations.
Full Description
How 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.
Contents
Zero: 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
