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Teaching Your Kids New Math, 6-8 For Dummies
by Kris JamsaIt’s not too late to learn new math tricks—and help kids learn them, too! Teaching Your Kids New Math, Grades 6-8, For Dummies teaches you the new standard way of teaching kids math. It’s all about thinking through how to solve problems and using strategies, rather than just memorizing the procedures. In this book, parents, guardians, and tutors will learn how to use these methods and standards to effectively teach kids Common Core math for grades 6-8. Teaching Your Kids New Math, Grades 6-8, For Dummies shows you how schools are teaching kids math these days, and gives you tools to support kids through the homework and test prep process. You’ll love this book’s clear explanations and examples organized by grade level. With Teaching Your Kids New Math, Grades 6-8, For Dummies?? you’ll also get access to online tools, including dozens of math worksheets for additional support. Learn how to teach 6th through 8th grade math according to the Common Core Discover the new methods and formulas that are standard for math instruction Get best teaching practices, example problems, and tips about common math pitfalls Help your kids with math homework and enhance the homeschool journeyThis is the perfect Dummies guide for anyone who needs guidance on how to teach kids math using new methods and concepts—they’re different from what we learned in school! Future math teachers will also love this user-friendly guide to middle-grade math.
Teaching Your Kids New Math, K-5 For Dummies
by Kris JamsaHelp your child unlock their math potential with this intuitive guide to teaching new math Teaching Your Kids New Math, K-5 For Dummies makes it easy to understand the new math being taught to students in kindergarten to Grade 5, showing parents and guardians how to help their kids with the new methods and concepts that have been introduced since they finished school. You’ll discover the math-teaching basics you need to help your kids with their math homework while becoming familiar with the grids, arrays, diagrams, and arrows that math students use today. You’ll also get: A step-by-step walkthrough for teaching young students essential math concepts, even if you think you’re not a “math person” Best practices, example problems, and tips and tricks about specific math topics that will help your youngster move forward Ways to avoid common and typical math pitfalls and frustrations that trap math students and teachers Full of real-world examples and applications, Teaching Kids New Math, K-5, For Dummies is your essential companion to helping your child master their math assignments and have fun while you’re doing it!
Teaching and Learning About Whole Numbers in Primary School
by Terezinha Nunes Beatriz Vargas Dorneles Pi-Jen Lin Elisabeth Rathgeb-SchniererThis book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished - the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future. The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning.
Teaching and Learning Mathematics Online
by Ii James P. Howard John F. BeyersOnline education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses
Teaching and Learning Mathematics Online
by James P. Howard, II and John F. BeyersTeaching and Learning Mathematics Online, Second Edition continues to present meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with the community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content.New to the Second Edition Nine brand new chapters Reflections on the lessons of COVID-19 Explorations of new technological opportunities
Teaching and Learning Patterns in School Mathematics
by Ferdinand RiveraThis book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author's longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum.
Teaching and Learning Proof Across the Grades: A K-16 Perspective (Studies in Mathematical Thinking and Learning Series)
by Despina Stylianou Maria Blanton Eric KnuthA Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can support the development of students’ understanding of proof. Collectively these essays inform educators and researchers at different grade levels about the teaching and learning of proof at each level and, thus, help advance the design of further empirical and theoretical work in this area. By building and extending on existing research and by allowing a variety of voices from the field to be heard, Teaching and Learning Proof Across the Grades not only highlights the main ideas that have recently emerged on proof research, but also defines an agenda for future study.
Teaching and Learning Secondary School Mathematics: Canadian Perspectives in an International Context (Advances in Mathematics Education)
by Jennifer Holm Ann Kajander Egan J ChernoffThis volume brings together recent research and commentary in secondary school mathematics from a breadth of contemporary Canadian and International researchers and educators. It is both representative of mathematics education generally, as well as unique to the particular geography and culture of Canada. The chapters address topics of broad applicability such as technology in learning mathematics, recent interest in social justice contexts in the learning of mathematics, as well as Indigenous education. The voices of classroom practitioners, the group ultimately responsible for implementing this new vision of mathematics teaching and learning, are not forgotten. Each section includes a chapter written by a classroom teacher, making this volume unique in its approach. We have much to learn from one another, and this volume takes the stance that the development of a united vision, supported by both research and professional dialog, provides the first step.
Teaching and Learning Stochastics: Advances In Probability Education Research (ICME-13 Monographs)
by Carmen Batanero Egan J ChernoffThis book presents a collection of selected papers that represent the current variety of research on the teaching and learning of probability. The respective chapters address a diverse range of theoretical, empirical and practical aspects underpinning the teaching and learning of probability, curricular issues, probabilistic reasoning, misconceptions and biases, as well as their pedagogical implications. These chapters are divided into THREE main sections, dealing with: TEACHING PROBABILITY, STUDENTS' REASONING AND LEARNING AND EDUCATION OF TEACHERS.In brief, the papers presented here include research dealing with teachers and students at different levels and ages (from primary school to university) and address epistemological and curricular analysis, as well as the role of technology, simulations, language and visualisation in teaching and learning probability. As such, it offers essential information for teachers, researchers and curricular designers alike.
Teaching and Learning in Maths Classrooms: Emerging Themes in Affect-related Research: Teachers' Beliefs, Students' Engagement and Social Interaction (Research in Mathematics Education)
by Chiara Andrà, Domenico Brunetto, Esther Levenson and Peter LiljedahlThe book presents a selection of the most relevant talks given at the 21st MAVI conference, held at the Politecnico di Milano. The first section is dedicated to classroom practices and beliefs regarding those practices, taking a look at prospective or practicing teachers’ views of different practices such as decision-making, the roles of explanations, problem-solving, patterning, and the use of play. Of major interest to MAVI participants is the relationship between teachers’ professed beliefs and classroom practice, aspects that provide the focus of the second section. Three papers deal with teacher change, which is notoriously difficult, even when the teachers themselves are interested in changing their practice. In turn, the book’s third section centers on the undercurrents of teaching and learning mathematics, which can surface in various situations, causing tensions and inconsistencies. The last section of this book takes a look at emerging themes in affect-related research, with a particular focus on attitudes towards assessment. The book offers a valuable resource for all teachers and researchers working in this area.
Teaching and Learning of Calculus
by David Bressoud Imène Ghedamsi Victor Martinez-Luaces Günter TörnerThis survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Teaching and Research in Mathematics: A Guide with Applications to Industry
by Parisa FatheddinThis insightful Guide is meant to serve any and all interested in pursuing a career in mathematics education and research. The author’s goal and the book’s theme is to help students and others make a smooth transition to teachers and researchers of mathematics.Part I presents helpful techniques on teaching and conducting research. This innovative book also offers strategies on how to observe from and develop research methods, carry out research, and begin writing research papers. It includes an introduction to LaTeX, the most widely used mathematics typesetting and rendering computer program.Part II introduces some modern research in mathematics in various industries. The aim in is to expose the reader to modern applications and help him/her become acquainted with research papers and how to read and understand them.Authored by a young teacher and researcher, also beginning her career, this book is written by and for young mathematicians. Most graduate students as she experienced, are not given a proper transitory introduction to research and are not taught the "how" in teaching, attending conferences and collaborating. The book is based on the author’s own observations and on techniques she has found effective.Mathematics graduate students and those in related fields will find assistance to help them reflect on and advance their career pursuits. Advisors and mentors might also find useful suggestions here.
Teaching by Design in Elementary Mathematics, Grades 2–3
by Jennifer Stepanek Melinda Leong Linda Griffin Lisa LavelleStrengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.
Teaching by Design in Elementary Mathematics, Grades 4–5
by Jennifer Stepanek Melinda Leong Linda Griffin Lisa LavelleStrengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.
Teaching by Design in Elementary Mathematics, Grades K–1
by Jennifer Stepanek Melinda Leong Linda Griffin Lisa LavelleStrengthen mathematics lessons through collaborative learning with this research-based professional development program. Included are grade-appropriate number and operations topics aligned with the Common Core State Standards.
Teaching for Mathematical Understanding: Practical ideas for outstanding primary lessons
by Tony CottonTeaching for Mathematical Understanding develops the subject knowledge support and practical ideas from Tony Cotton's Understanding and Teaching Primary Mathematics into resources for full lessons. With an emphasis on developing outstanding lessons using a problem-solving approach, this highly practical guide is packed with activities that all trainee and practising teachers can use in the primary classroom. Covering each area of mathematics, every activity offers helpful step-by-step guidance, including teaching and learning objectives; resources; lesson outlines; ideas for differentiation; assessment for learning and key probing questions. Also featured in this text are call-outs to the information contained in the book's companion website, a shared site with a range of relevant resources to support and consolidate your learning. Teaching for Mathematical Understanding is an essential text for all trainee and practising teachers looking for inspiration and guidance towards outstanding mathematics teaching. Companion website features include: Video clips in which primary school teachers demonstrate concepts covered in the book through teaching to a real class PowerPoint presentations which provide support for those using the book as part of a teacher training course updated weblinks to external sites with useful teaching information and resources.
Teaching for Numeracy Across the Age Range: An Introduction (SpringerBriefs in Education)
by Peter Stuart WestwoodThis book provides an introduction to what it means to be numerate, and how numeracy can best be developed and nurtured in children and in adults. It also presents a cohesive coverage of numeracy development from early childhood to adulthood. This book draws on international research and practice to provide a comprehensive overview on the topic. It depicts and draws connections with the National Curriculum in the United Kingdom, the Australian Curriculum, and the Common Core State Standards in the United States. This book identifies skills and concepts involved in achieving functional numeracy, and provides practical advice on effective teaching, learning and assessment. It serves as a valuable guide to educators who teach mathematics in primary and secondary schools, but who are not specifically trained in the subject.
Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5
by Gary Robert Muschla Judith A. Muschla Erin Muschla-BerryHelping teachers prepare elementary students to master the common core math standards With the common core math curriculum being adopted by forty-three states, it is imperative that students learn to master those key math standards. Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 is the only book currently available that provides activities directly correlated to the new core curriculum for math. This text assists teachers with instructing the material and allows students to practice the concepts through use of the grade-appropriate activities included. Students learn in different ways, and Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 acknowledges that fact through the inclusion of suggestions for variations and extensions of each concept to be used for students with different abilities and learning styles. The activities and lessons are as diverse as the students in your classroom. Inside Teaching with Common Core Math Standards With Hands-On Activities Grades 3-5, you will find: Clear instructions to help you cover the skills and concepts for the new math core curriculum Engaging activities that enforce each core math standard for your students Various suggestions for ways to instruct the concepts to reach the diverse learning styles of your students Complete coverage of mathematical calculations, mathematical reasoning, and problem-solving strategies appropriate for grades 3-5 Teaching the Common Core Math Standards with Hands-On Activities, Grades 3-5 prepares students to achieve success in the important area of mathematics. As your students gain an understanding of the common core standards, they will build confidence in their ability to grasp and manipulate mathematical concepts as they move forward to the next level.
Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8
by Gary Robert Muschla Erin Muschla Judith A. MuschlaHelpful advice for teaching Common Core Math Standards to middle-school studentsThe new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies.Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractlyDescribes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real lifeThis practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.
Teaching the Common Core Math Standards with Hands-On Activities, Grades 6-8
by Gary Robert Muschla Erin Muschla Judith A. MuschlaHelpful advice for teaching Common Core Math Standards to middle-school students The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. Hands-on Activities for Teaching the Common Core Math Standards is designed to help teachers instruct their students so that they will better understand and apply the skills outlined in the Standards. This important resource also gives teachers a wealth of tools and activities that can encourage students to think critically, use mathematical reasoning, and employ various problem-solving strategies. Filled with activities that will help students gain an understanding of math concepts and skills correlated to the Common Core State Math Standards Offers guidance for helping students apply their understanding of math concepts and skills, develop proficiency in calculations, and learn to think abstractly Describes ways to get students to collaborate with other students, utilize technology, communicate ideas about math both orally and in writing, and gain an appreciation of the significance of mathematics to real life This practical and easy-to-use resource will help teachers give students the foundation they need for success in higher mathematics.
Teaching the Common Core Math Standards with Hands-On Activities, Grades 9-12
by Gary Robert MuschlaBring Common Core Math into high school with smart, engaging activities Teaching Common Core Math Standards with Hands-On Activities, Grades 9-12 provides high school teachers with the kind of help they need to begin teaching the standards right away. This invaluable guide pairs each standard with one or more classroom-ready activities and suggestions for variations and extensions. Covering a range of abilities and learning styles, these activities bring the Common Core Math Standards to life as students gain fluency in math communication and develop the skillset they need to tackle successively more complex math courses in the coming years. Make math anxiety a thing of the past as you show your students how they use math every day of their lives, and give them the cognitive tools to approach any math problem with competence and confidence. The Common Core Standards define the knowledge and skills students need to graduate high school fully prepared for college and careers. Meeting these standards positions American students more competitively in the global economy, and sets them on a track to achieve their dreams. This book shows you how to teach the math standards effectively, and facilitate a deeper understanding of math concepts and calculations. Help students apply their understanding of math concepts Teach essential abstract and critical thinking skills Demonstrate various problem-solving strategies Lay a foundation for success in higher mathematics The rapid adoption of the Common Core Standards across the nation has left teachers scrambling for aligned lessons and activities. If you want to bring new ideas into the classroom today, look no further. Teaching Common Core Math Standards with Hands-On Activities is the high school math teacher's solution for smart, engaging Common Core math.
Teaching with Tasks for Effective Mathematics Learning
by Peter Sullivan Doug Clarke Barbara ClarkeThis book is about how teachers can use classroom mathematics tasks to support student learning, and presents data on the ways in which teachers used those tasks in a particular research project. It is the product of research findings focusing on teacher practice, teacher learning and knowledge, and student learning. It demonstrates how teachers can use mathematics tasks to promote effective student learning.
Tech Fusion in Business and Society: Harnessing Big Data, IoT, and Sustainability in Business: Volume 2 (Studies in Systems, Decision and Control #234)
by Reem Khamis HamdanThis book embarks on a deeper exploration of the intersection of technology and business with Volume 2 of 'Tech Fusion in Business and Society: Harnessing Big Data, IoT, and Sustainability.' This book, divided into two parts—'Diving into the Nexus: Artificial Intelligence, Technology, and Societal Impact' and 'Unveiling Synergies: Artificial Intelligence, Blockchain, Security, and Business Impact'—offers a comprehensive look at how these elements shape our world. This book delves into a rich tapestry of insights from leading experts, each chapter meticulously reviewed to ensure academic excellence and practical relevance. This book discovers how AI, blockchain, security, and more converge to drive innovation and influence the future of industries and societies.
Technical Analysis of Stock Trends
by Robert D. Edwards John Magee W.H.C. BassettiThis revised and updated version of the best-selling book, Technical Analysis of Stock Trends, 10th Edition, presents proven long- and short-term stock trend analysis enabling investors to make smart, profitable trading decisions. The book covers technical theory such as The Dow Theory, reversal patterns, consolidation formations, trends and channels, technical analysis of commodity charts, and advances in investment technology. The book also includes a comprehensive guide to trading tactics from long and short goals, stock selection, charting, low and high risk, trend recognition tools, balancing and diversifying the stock portfolio, application of capital, and risk management. This sharpened and updated new edition offers patterns and charts that are tighter and more illustrative, including modifiable charts. Expanded material will be offered on Pragmatic Portfolio Theory as a more elegant alternative to Modern Portfolio Theory; and a newer, simpler, and more powerful alternative to Dow Theory is presented.
Technical Calculus with Analytic Geometry (Dover Books on Mathematics)
by Judith L. GerstingThis well-thought-out text, filled with many special features, is designed for a two-semester course in calculus for technology students with a background in college algebra and trigonometry. The author has taken special care to make the book appealing to students by providing motivating examples, facilitating an intuitive understanding of the underlying concepts involved, and by providing much opportunity to gain proficiency in techniques and skills.Initial chapters cover functions and graphs, straight lines and conic sections, new coordinate systems, the derivative, using the derivative, integration and using the integral. The last four chapters focus on derivatives of transcendental functions, patterns for integrations, series expansion of functions, and differential equations.Throughout, the writing style is clear, readable and informal. Examples are abundant and have complete worked solutions. Practice problems appear in the body of the text in each section; these are relatively easy and are intended to be worked by the student as soon as they are encountered. Each new type of example in the text is followed by a practice problem that allows the student to gain immediate reinforcement in applying the problem-solving technique illustrated by the example. Answers to all practice problems are given at the back of the book, many with worked-out solutions.Other learning aids include the division of complex problem-solving processes into a series of step-by-step tasks, numerous exercises at the end of each section and a Status Check at the end of each chapter that helps students review what they have learned. Additional review exercises and a glossary, with definitions and page references, round out the book.