Eugène Charles Catalan made his famous conjecture – that 8 and 9 are the only two consecutive perfect powers of natural numbers – in 1844 in a letter to the editor of Crelle’s mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it.
Tensors, Differential Forms, and Variational Principles
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques, with large number of problems, from routine manipulative exercises to technically difficult assignments.
Learning and Teaching Early Math: The Learning Trajectories Approach
In this important new book for pre- and in-service teachers, early math experts Douglas Clements and Julie Sarama show how 'learning trajectories' help teachers become more effective professionals. By opening up new windows to seeing young children and the inherent delight and curiosity behind their mathematical reasoning, learning trajectories ultimately make teaching more joyous. They help teachers understand the varying level of knowledge and thinking of their classes and the individuals within them as key ...
Early Childhood Mathematics Education Research: Learning Trajectories for Young ChildrenThis important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. Detailed descriptions of children's thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking.
Improving Primary Mathematics: Linking Home and School (Improving Practice)How can teachers make use of the mathematics that takes place in everyday life outside school? This practical book provides the answers to key questions that are directly relevant to all primary teachers and to many parents in improving children’s understanding of mathematics. It presents a range of activities that can be used to share knowledge between children, parents and teachers, including teachers and children making videos, parents and children taking photos of the 'everyday' maths etc
