This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom.
This book presents the basic skills of Mathematics appropriate for Year 7 students. There is good coverage of core skills and concepts, clear worked examples and well graded exercises. Review sets appear at the end of each chapter. The book offers a sound foundation in mathematics in preparation for secondary level education.
The book treats probability and statistics as mathematical disciplines and with the same degree of rigour as is adopted for other branches of applied mathematics at the level of a British honours degree. They contain the minimum information about these subjects that any honours graduate in mathematics ought to know. They are written primarily for general mathematicians, rather than for statistical specialists or for natural scientists who need to use statistics. No previous knowledge of probability or statistics is assumed, though familiarity with calculus and linear algebra is required.
Elementary and Middle School Mathematics: Teaching Developmentally
This leading K-8 math methods text has the most coverage of the NCTM standards, the strongest coverage of middle school mathematics, and the highest student approval of any text currently available. Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help students develop a real understanding of the mathematics they will teach.
This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's laws. Unnecessary abstraction has been avoided to produce an account suitable for students in mathematics or physics who have taken courses in advanced calculus.
