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With the continued advance of computing power and accessibility, the view that "real mathematicians don't compute" no longer has any traction for a newer generation of mathematicians. The goal in this book is to present a coherent variety of accessible examples of modern mathematics where intelligent computing plays a significant role and in so doi
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
Find out how Math Workshops engage students and increase learning. This practical book from bestselling author Dr. Nicki Newton explains why Math Workshops are effective and gives you step-by-step instructions for implementing and managing your own workshop. You’ll find out how to... create a math-rich environment; use anchor charts effectively; manage the workshop; begin a workshop with activities; lead whole-group mini-lessons; make workstations meaningful and engaging; create guided math groups; implement "the Share" effectively; and ensure balanced assessments. Each chapter offers a variety of charts and tools that you can use in the classroom immediately, as well as reflection questions and key points. The book also features a handy Quick-Start Guide to help you as you implement your own workshop.
All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work
Written by an expert Scottish author team, this market-leading pupil book will help you deliver the Curriculum for Excellence.
This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.
This is a differentiated course with a systematic and thorough approach suitable for students of all abilities. It was written specifically for standard grade, through is appropriate for other UK Curricula. Chapters begin with looking back exercises for consolidation of the work. The fully differentiated contents have graded exercises. Review sections enable students to develop mathematical competence and confidence. There are photocopiable resource for general and credit students.
The Maths in Action series is a complete revision of the Scottish maths course Mathematics in Action. It provides a differrentiated course in mathematics that delivers the 5-14 guidelines and the National Curriculum in England and Wales, and Northern Ireland.
This is a series of five books each covering a separate unit of the Advanced Higher course. This unit structure gives you the flexibility to put together a complete course or to offer separate units of study.