The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.

This fully updated third edition looks at the fundamentals of mathematics teaching, how to plan lessons and assess learning, and how to promote an inclusive approach in the classroom. Key new features include: Updated content reflecting: the 2014 National Curriculum in England, the Teachers′ Standards and revised requirements for GCSE and A level mathematics Updated ′Evidence from research′ features, highlighting developments in the field An expanded section on mathematical misconceptions New coverage on teaching for mastery.

′All the ideas look easy to use and quick to prepare... This is a very interesting and thought provoking book - it manages to ask questions about how we teach able children but also provides some ideas and some materials to help′ - The Association of Teachers of Mathematics Finding stimulating and challenging maths activities for able pupils in a mainstream classroom can be demanding for the busy teacher, especially if maths is not your specialism. Based on her experience as an Advanced Skills Teacher and LEA Consultant, Anne Price explains the issues and theories surrounding the education of able pupils and links these to practical, creative examples to be used in the classroom. Useful resources include: - Photocopiable materials, - Advice on different teaching styles, - Activities and tasks for individuals, groups or the whole class GATCOs, Numeracy Consultants, Learning Support Teachers and Student and class teachers looking for new and creative ways of teaching maths activities to able students will find this book invaluable.

Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.

The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.