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The First Five Years of Teaching Mathematics (FIRSTMATH)

The First Five Years of Teaching Mathematics (FIRSTMATH) PDF Author: Maria Teresa Tatto
Publisher: Springer Nature
ISBN: 3030440478
Category : Education
Languages : en
Pages : 168

Book Description
This book reports on an innovative study into the first five years of mathematics teaching: FIRSTMATH. For the first time, the study has developed a viable methodology to analyze the knowledge, skills, and dispositions of beginning mathematics teachers as well as instruments to explore the contexts where they work. The book provides a step by step account of this exploratory (proof-of-concept) research study, using a comparative and international approach, and introduces readers to the challenges entailed. The FIRSTMATH study promises the development of methods and strategies to make it possible for teacher educators and future teachers to examine (and improve on) their own practices in an important STEM area.

The First Five Years of Teaching Mathematics (FIRSTMATH)

The First Five Years of Teaching Mathematics (FIRSTMATH) PDF Author: Maria Teresa Tatto
Publisher: Springer Nature
ISBN: 3030440478
Category : Education
Languages : en
Pages : 168

Book Description
This book reports on an innovative study into the first five years of mathematics teaching: FIRSTMATH. For the first time, the study has developed a viable methodology to analyze the knowledge, skills, and dispositions of beginning mathematics teachers as well as instruments to explore the contexts where they work. The book provides a step by step account of this exploratory (proof-of-concept) research study, using a comparative and international approach, and introduces readers to the challenges entailed. The FIRSTMATH study promises the development of methods and strategies to make it possible for teacher educators and future teachers to examine (and improve on) their own practices in an important STEM area.

Used Math

Used Math PDF Author: Clifford E. Swartz
Publisher:
ISBN: 9780735420854
Category :
Languages : en
Pages : 282

Book Description
Here is a helpful reference work designed for the college science student needing a quick explanation of the mathematics found in the first two years of the college science curriculum. Rather than giving lengthy explanations of abstract mathematical theory, this useful handbook focuses on math as a scientist's working tool. Part reference and part reminder-the volume reinforces the student's previous knowledge of math and guides the reader through the many unfamiliar mathematical computations that are part of his or her science requirements. Numerous examples throughout the book are drawn from actual situations encountered in science courses. The chapters may be used in any sequence and are extensively cross-indexed for user convenience. Demonstrating how formal course work in chemistry, physics, astronomy, and the other sciences employ certain vital areas of mathematics, the book covers a broad range of important subjects, including reporting and analyzing uncertainty, units and dimensions, graphs, the simple functions of applied math, statistics, quadratic and high power equations, and simultaneous equations. Other chapters are devoted to determinants, vectors, complex numbers, calculus-differentiation, integration, series and approximations, common differential equations, and differential operators. The book contains many useful reference tables and summaries of formulas and techniques. A valuable study aid for every science student and an auxiliary reference work certain to be used frequently, USED MATH gives solid explanations and examples of the "old and used" math fundamental to all science courses.

Mathematics in the Early Years

Mathematics in the Early Years PDF Author: David Clemson
Publisher: Routledge
ISBN: 1134864531
Category : Education
Languages : en
Pages : 280

Book Description
The Clemsons' clear and readable book takes the reader from debates about how children learn and what children know and can do when they start school; through to a discussion of how mathematics can be managed, assessed and evaluated in the school and classroom. Linking these two parts of the book is a section on the subject of mathematics itself, from which the non-specialist reader can gain a view of what mathematics is, what needs to be thought about in planning and offering a curriculum and the special dilemmas faced in teaching and learning mathematics as a subject. A bank of case studies offers an opportunity to see mathematics in action in a variety of classrooms.

Success from the Start

Success from the Start PDF Author: Kathy Ernst
Publisher: Mitchell Beazley
ISBN: 9780873536783
Category : Mathematics
Languages : en
Pages : 269

Book Description
This book highlights how students learn math and the pedagogy behind it. Using vignettes based on real classroom discussions, the authors illustrate effective teaching practices to support math learning. Success from the Start: Your First Years Teaching Elementary Mathematics acts as a supportive and reassuring companion that you can return to throughout your journey as an elementary mathematics teacher. As a beginning elementary mathematics teacher you might already be asking yourself these questions: How can I differentiate my teaching to meet the diverse needs of my students? What assessments best advance student learning? How can students understand math if I do not show them different strategies and tell them about the underlying mathematical structures and properties? What advice do I give parents about how to support their children’s math learning?

Problem Book for First Year Calculus

Problem Book for First Year Calculus PDF Author: George W. Bluman
Publisher: Springer Science & Business Media
ISBN: 1461211328
Category : Mathematics
Languages : en
Pages : 396

Book Description


Mathematics Through Play in the Early Years

Mathematics Through Play in the Early Years PDF Author: Kate Tucker
Publisher: SAGE
ISBN: 1446244016
Category : Education
Languages : en
Pages : 178

Book Description
Teaching mathematics to young children in creative ways is made easy with this second edition of a wonderful book, which offers the reader clear advice and lots of exciting ideas to use in any early years setting. By showing how to introduce mathematical concepts through play-based activities, this book is in tune with current thinking about best practice in teaching, and with the requirements of the Early Years Foundation Stage and current Primary National Strategy. New material includes: - an additional chapter on creative recording - a whole new chapter on ways to involve parents - discussion of policy throughout the UK - more on using ICT - case studies covering the whole birth to eight age range Essential reading for any practitioner who wants to develop their mathematics teaching, this book is equally important for all trainee teachers and early years students. Kate Tucker is an early years teacher, trainer and writer based in Exeter; she has over 20 years of experience, and has written widely on early years mathematics and Foundation Stage practice.

First Steps for Math Olympians

First Steps for Math Olympians PDF Author: J. Douglas Faires
Publisher: MAA
ISBN: 9780883858240
Category : Mathematics
Languages : en
Pages : 344

Book Description
A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

Developing Research in Mathematics Education

Developing Research in Mathematics Education PDF Author: Tommy Dreyfus
Publisher: Routledge
ISBN: 1351625403
Category : Education
Languages : en
Pages : 526

Book Description
Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Big Ideas of Early Mathematics

Big Ideas of Early Mathematics PDF Author: The Early Math Collaborative- Erikson Institute
Publisher: Pearson Higher Ed
ISBN: 0133259951
Category : Education
Languages : en
Pages : 209

Book Description
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.

How Mathematics Happened

How Mathematics Happened PDF Author: Peter S. Rudman
Publisher: Prometheus Books
ISBN: 1615921761
Category : Mathematics
Languages : en
Pages : 316

Book Description
In this fascinating discussion of ancient mathematics, author Peter Rudman does not just chronicle the archeological record of what mathematics was done; he digs deeper into the more important question of why it was done in a particular way. Why did the Egyptians use a bizarre method of expressing fractions? Why did the Babylonians use an awkward number system based on multiples of 60? Rudman answers such intriguing questions, arguing that some mathematical thinking is universal and timeless. The similarity of the Babylonian and Mayan number systems, two cultures widely separated in time and space, illustrates the argument. He then traces the evolution of number systems from finger counting in hunter-gatherer cultures to pebble counting in herder-farmer cultures of the Nile and Tigris-Euphrates valleys, which defined the number systems that continued to be used even after the invention of writing. With separate chapters devoted to the remarkable Egyptian and Babylonian mathematics of the era from about 3500 to 2000 BCE, when all of the basic arithmetic operations and even quadratic algebra became doable, Rudman concludes his interpretation of the archeological record. Since some of the mathematics formerly credited to the Greeks is now known to be a prior Babylonian invention, Rudman adds a chapter that discusses the math used by Pythagoras, Eratosthenes, and Hippasus, which has Babylonian roots, illustrating the watershed difference in abstraction and rigor that the Greeks introduced. He also suggests that we might improve present-day teaching by taking note of how the Greeks taught math. Complete with sidebars offering recreational math brainteasers, this engrossing discussion of the evolution of mathematics will appeal to both scholars and lay readers with an interest in mathematics and its history.