Description : A Practical Guide to Teaching Mathematics in the Secondary School offers straightforward advice, inspiration and a wide range of tried and tested approaches to help you find success in the secondary mathematics classroom. Illustrated throughout, this fully updated second edition includes new chapters on using ICT in the classroom and promoting a positive learning environment, as well as fresh and easy to use ideas that can help you engage your pupils and inspire mathematical thinking. Covering all key aspects of mathematics teaching, it is an essential companion for all training and newly qualified mathematics teachers. Combining ideas and practical insights from experienced teachers with important lessons from educational research, this book covers key aspects of mathematics teaching, including: planning effective lessons using assessment to support learning encouraging mathematical activity integrating ICT into your teaching making lessons engaging building resilient learners. A Practical Guide to Teaching Mathematics in the Secondary School is an essential companion to the core textbook Learning to Teach Mathematics in the Secondary School. Written by expert practitioners, it will support you in developing imaginative and effective mathematics lessons for your pupils.
Description : This book is a collection of papers presented at the conference “Forum Math-for-Industry 2014” for which the unifying theme was “Applications + Practical Conceptualization + Mathematics = fruitful Innovation” in October 2014. This epigram encapsulates the dynamics of the process that takes an application through to an innovation. Industrial mathematics can be viewed as the causal engine that implements the epigram by taking an Application such as input and convolving it with a mixture of Practical Conceptualization and Mathematics to generate a fruitful Innovation as output. The book illustrates various aspects of the two-way interaction between applications and their association highlighting how practical conceptualization assists with the linking of the question that encapsulates the current application to the relevant mathematics. The contents of this volume address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.
Description : During the past 40 years, mathematical music theory has grown and developed in both the fields of music and mathematics. In music pedagogy, the need to analyze patterns of modern composition has produced Musical Set Theory, and the use of Group Theory and other modern mathematical structures have become almost as common as the application of mathematics in the fields of engineering or chemistry. Mathematicians have been developing stimulating ideas when exploring mathematical applications to established musical relations. Mathematics students have seen in Music in Mathematics courses, how their accumulated knowledge of abstract ideas can be applied to an important human activity while reinforcing their dexterity in Mathematics. Similarly, new general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain.The objective of this volume is to share the motivation and content of some of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials to interested readers.
Description : A Mathematician's Practical Guide to Mentoring Undergraduate Research is a complete how-to manual on starting an undergraduate research program. Readers will find advice on setting appropriate problems, directing student progress, managing group dynamics, obtaining external funding, publishing student results, and a myriad of other relevant issues. The authors have decades of experience and have accumulated knowledge that other mathematicians will find extremely useful.
Description : This book is the first subject-specific study guide for mathematics students (interpreted broadly to mean those who are studying for single- or joint-honours degrees). It includes practical information on managing oneself as a student but, unlike generic study guides, it applies this advice to a degree involving numerous lectures on technical material, regular homework assignments, and a variety of testing regimes. More importantly, the book begins with a broadand deep discussion of ways in which undergraduate mathematics differs from school mathematics. It discusses the typical skills, beliefs and expectations of an incoming undergraduate, and explainsways in which these will need to be adapted and extended. In particular, it provides detailed illustrations showing how to interact effectively with definitions, theorems and proofs. It takes the mystery out of the transition to undergraduate mathematics, and its friendly and conversational style makes challenging ideas accessible and provides the student with the information they will need to study successfully.
Description : Designed to enhance the math skills of students studying the field of drafting, this completely updated fourth edition of Practical Problems in Mathematics For Drafting and CAD presents a comprehensive overview of contemporary drafting problems, CAD drawings, and industry applications and practices. This text provides students with a variety of integrated math problems and CAD operations in order to facilitate critical thinking, problem solving, and basic mathematics literacy. Filled with real-world applications and designed to cover a range of skills and levels of difficulty, the fourth edition includes updated figures, illustrations, problem sets, examples, and solutions in order to give students the skills they need to succeed in the field of drafting. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Description : This volume is a result of mathematicians, cognitive scientists, mathematics educators, and classroom teachers combining their efforts to help address issues of importance to classroom instruction in mathematics. In so doing, the contributors provide a general introduction to fundamental ideas in cognitive science, plus an overview of cognitive theory and its direct implications for mathematics education. A practical, no-nonsense attempt to bring recent research within reach for practicing teachers, this book also raises many issues for cognitive researchers to consider.
Description : PRACTICAL PROBLEMS IN MATHEMATICS FOR ELECTRICIANS, 9E will give your students the math skills they need to succeed in the electrical trade. It introduces them to the important math principles through problems designed for the electrical profession and offers them an excellent opportunity to develop and practice problem-solving skills while at the same time providing a valuable review of electrical terminology. This new edition uses the same straightforward writing style and simple, step-by-step explanations that made previous editions so reader-friendly. It minimizes theory and emphasizes problem-solving techniques and practice problems. This new edition also includes updated illustrations and information for a better learning experience than ever before! The book begins with basic arithmetic and then, once these basic topics have been mastered, progresses to algebra and concludes with trigonometry. Practical problems with real-world scenarios from the electrical field are used throughout, allowing your students to apply key mathematical concepts while developing an awareness of basic electrical terms and practices. This is the perfect resource for students entering the electrical industry, or those simply looking to brush up on the necessary math. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.