The mistakes children make in mathematics are usually not just ‘mistakes’ - they are often intelligent generalizations from previous learning. Following several decades of academic study of such mistakes, the phrase ‘errors and misconceptions’ has recently entered the vocabulary of mathematics teacher education and has become prominent in the curriculum for initial teacher education. The popular view of children’s errors and misconceptions is that they should be corrected as soon as possible. The authors contest this, perceiving them as potential windows into children’s mathematics. Errors may diagnose significant ways of thinking and stages in learning that highlight important opportunities for new learning. This book uses extensive, original data from the authors’ own research on children’s performance, errors and misconceptions across the mathematics curriculum. It progressively develops concepts for teachers to use in organizing their understanding and knowledge of children’s mathematics, offers practical guidance for classroom teaching and concludes with theoretical accounts of learning and teaching. Children’s Mathematics 4-15 is a groundbreaking book, which transforms research on diagnostic errors into knowledge for teaching, teacher education and research on teaching. It is essential reading for teachers, students on undergraduate teacher training courses and graduate and PGCE mathematics teacher trainees, as well as teacher educators and researchers.
The Fifth Edition fully integrates the text with MasteringChemistry to provide an interactive and engaging experience.
NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version.
The text also fosters development of problem-solving skills while helping students visualize and understand concepts through figures, sample problems, and concept maps.
Study Guide for General, Organic and Biological Chemistry: Structures of Life
New problem-solving tools in this edition, including Try it First and Connect, urge readers to think critically about problem-solving while learning best practices. Personalize learning with Mastering Chemistry.
Modified Masteringchemistry with Pearson Etext -- Standalone Access Card -- For General, Organic, and Biological Chemistry: Structures of Life
Chemistry: An Introduction to General, Organic, and Biological Chemistry, Books a la Carte Plus MasteringChemistry with EText -- Access Card...
Masteringchemistry With Pearson Etext Standalone Access Card for Chemistry: An Introduction to General, Organic, and Biological Chemistry
General, Organic, and Biological Chemistry: Structures of Life, Pearson Etext
0321832922 / 9780321832924 General, Organic, and Biological Chemistry: Structures of Life, MasteringChemistry with Pearson eText -- Valuepack Access Card and Study Guide for General, Organic, and Biological Chemistry: Structures of Life, ...