Linda Levi - Böcker

The bestselling first edition of Children’s Mathematics  helped hundreds of thousands of teachers understand children’s intuitive mathematical thinking and use that knowledge to help children learn mathematics with understanding.  The highly anticipated Second Edition provides new insights about Cognitively Guided Instruction based on the authors’ research and experience in CGI classrooms over the last 15 years. Highlights include: how children solve problems using their intuitive understanding of addition, subtraction, multiplication, and division the development of children’s mathematical thinking throughout the primary grades instructional practices that promote children’s active engagement in mathematics connections between children’s strategies and powerful mathematical concepts A new expanded collection of over 90 online video episodes illustrating children’s mathematical thinking, interactions between students and teachers, and classroom instruction that builds on children’s mathematical thinking. Together, the Second Edition and videos provide a detailed research-based account of the development of children’s mathematical thinking and problem solving, and how teachers can promote this development in ways that honor children’s thinking.

Like algebra at any level, early algebra is a way to explore, analyse, represent and generalise mathematical ideas and relationships. This book shows that children can and do engage in generalising about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential understandings for developing algebraic thinking in grades 3-5. The big ideas relate to the fundamental properties of number and operations, the use of the equals sign to represent equivalence, variables as efficient tools for representing mathematical ideas, quantitative reasoning as a way to understand mathematical relationships and functional thinking to generalise relationships between covarying quantities. The book examines challenges in teaching, learning and assessment and is interspersed with questions for teachers’ reflection.