Children's Mathematical Thinking in Primary Years
A&C Black, Oct 20, 2005 - Education - 192 pages
This popular Continuum series, intended chiefly for teachers and trainee teachers, places strong emphasis on practice but at the same time incorporates the latest research in the field. The book demonstrates a strong belief in the ability of children to learn, and in the ability of teachers to increase children's learning potential.
The series authors are distinguished practitioners in their fields who write with authority, but without jargon.
With the increasingly popular constructivist framework for learning, teachers are coming to recognize the limitations of taught procedures and to find ways to encourage children to generate their own knowledge and understanding in mathematics. The challenge for teachers is to promote an environment that encourages mathematical thinking in which pupils of all abilities are able to achieve their full potential. This text brings together experiences of teachers and researchers who examine the ways children work mathematically, in order to provide an enhanced learning environment within the classroom. It also addresses key issues in current maths teaching.
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1 Focus on Thinking
2 Emergent Mathematics or How to Help Young Children Become Confident Mathematicians
3 Investigational Starting Points and Childrens Thinking
The Languages of Mathematics
5 Making Sense of Symbols
6 CAN Calculators Make a Difference?
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ability able abstract activities adults algebra answer approach arithmetic asked Bruner calculators cards Carroll diagrams Cartesian product chapter child children learn children’s mathematical children’s thinking classroom colour conﬁdence constructivist contexts database develop diagrams diﬂiculties discussion divided division DON MACKAY ematics emergent mathematics equation example experiences explore ﬁle ﬁllers ﬁnal ﬁnd ﬁnding ﬁrst ﬁve four help children Homerton College iconic ideas important inductive reasoning interpret investigate involved Ishka Jerome Bruner knowledge leaming learning mathematics Lev Vygotsky loop machine math mathematical thinking Mathematics Education mathematics teaching meaning meta-language methods multiplication National Curriculum NCTM objects odd number pattem patterns primary problem solving procedures pupils question reﬂect relation relevant represent representation school mathematics sequence shared Shuard signiﬁcant situations skills Snackbar Task sorting speciﬁc square starting point strategies structure subtraction Susie symbols talk teachers understanding Welsh Office whole number words young children