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| discovery education math techbook: Home Learning Year by Year, Revised and Updated Rebecca Rupp, 2020-01-21 A comprehensive guide to designing homeschool curriculum, from one of the country’s foremost homeschooling experts—now revised and updated! Homeschooling can be a tremendous gift to your children—a personalized educational experience tailored to each kid’s interests, abilities, and learning styles. But what to teach, and when, and how? Especially for first-time homeschoolers, the prospect of tackling an annual curriculum can be daunting. In Home Learning Year by Year, Rebecca Rupp presents comprehensive plans from preschool through high school, covering integral subjects for each grade, with lists of topics commonly presented at each level, recommended resource and reading lists, and suggestions for creative alternative options and approaches. Included, along with all the educational basics, are techniques and resources for teaching everything from philosophy to engineering, as well as suggestions for dealing with such sensitive topics as sex education. Now revised throughout with all-new updates featuring the most effective and up-to-date methods and reading guides to homeschool your child at all ages, Home Learning Year by Year continues to be the definitive book for the homeschooling parent. |
| discovery education math techbook: Digital Education Pedagogy Souvik Pal, Ton Quang Cuong, R. S. S. Nehru, 2020-12-08 This volume brings together advanced concepts from leading academic scientists, educationalists, administrative policymakers, and researchers on their experiences and research results on many aspects of digital educational methods and teaching practices. It provides an interdisciplinary compilation of recent innovations, trends, and concerns as well as the challenges encountered and solutions adopted in the fields of digital pedagogies and educational design. It is becoming increasingly important to develop adaptive, robust, scalable, and digital teaching-learning mechanisms in academics. This volume addresses this need by discussing the advancements in flipped and blended learning, student- and teacher-centric learning in technical institutes, critical digital pedagogies, and the complex analyses and collaborations with organizations outside the academy. This book also deals with protocols for educational and administrative policies, IoT-based teaching-learning methodology, teaching education and the process of assessment, testing and evaluation, integration of technology with digital education, and different case study-based approaches in digital teaching-learning methodology. |
| discovery education math techbook: Mathematics for Machine Learning Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, 2020-04-23 Distills key concepts from linear algebra, geometry, matrices, calculus, optimization, probability and statistics that are used in machine learning. |
| discovery education math techbook: Teaching Mathematics at Secondary Level Tony Gardiner, 2016-02-08 Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important. |
| discovery education math techbook: Educational Excellence Everywhere Great Britain: Department for Education, 2016-03-17 Dated March 2016. Print and web pdfs available at https://www.gov.uk/government/publications Web ISBN=9781474130165 |
| discovery education math techbook: Bringing Project-Based Learning to Life in Mathematics, K-12 Maggie Lee McHugh, 2023-05-04 Go beyond problem-solving and performance tasks. Bring project-based learning to life! Do you want your students to be more engaged in their mathematics lessons while also amplifying cultural relevancy and equity? If so, proceed to the next level of instruction with project-based learning (PBL)! This book provides the whole PBL game plan designed by an experienced, award-winning teacher and researcher. Whether you want to start with small steps or you are ready for full implementation in your classroom, project-based learning experiences can lead to forever memories and deeper learning for your students. Answering the why, what, and how of embarking on the journey toward PBL, readers will find Need-to-Know questions to open each chapter Student and educator vignettes to identify stumbling blocks and successes PBL Plus Tips that identify those small steps teachers can make to gradually shift toward PBL Your Turn prompts to actively connect ideas to your practice This approachable guide includes everything you need to move from tasks to memorable project-based experiences that leverage student voice and choice and build a welcoming classroom culture! |
| discovery education math techbook: A Framework for K-12 Science Education National Research Council, Division of Behavioral and Social Sciences and Education, Board on Science Education, Committee on a Conceptual Framework for New K-12 Science Education Standards, 2012-02-28 Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments. |
| discovery education math techbook: Introduction to Mathematical Analysis William R. Parzynski, Philip W. Zipse, 1982 |
| discovery education math techbook: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
| discovery education math techbook: Fundamentals of Mathematics Denny Burzynski, Wade Ellis, 2008 Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who: have had previous courses in prealgebra wish to meet the prerequisites of higher level courses such as elementary algebra need to review fundamental mathematical concenpts and techniques This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: to provide the student with an understandable and usable source of information to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations to give the students the ability to correctly interpret arithmetically obtained results We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject. |
| discovery education math techbook: Proofs and Refutations Imre Lakatos, 1976 Proofs and Refutations is for those interested in the methodology, philosophy and history of mathematics. |
| discovery education math techbook: Discovering Our Past: A History of the United States - Modern Times, Student Edition (print only) McGraw-Hill Education, 2015-03-03 |
| discovery education math techbook: Applied Discrete Structures Ken Levasseur, Al Doerr, 2012-02-25 ''In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the favorite examples that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''-- |
| discovery education math techbook: Math in Society David Lippman, 2012-09-07 Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well. |
| discovery education math techbook: Counterexamples in Analysis Bernard R. Gelbaum, John M. H. Olmsted, 2012-07-12 These counterexamples deal mostly with the part of analysis known as real variables. Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition. |
| discovery education math techbook: Digital Social Studies William B. Russell, 2013-12-01 The world is ever changing and the way students experience social studies should reflect the environment in which they live and learn. Digital Social Studies explores research, effective teaching strategies, and technologies for social studies practice in the digital age. The digital age of education is more prominent than ever and it is an appropriate time to examine the blending of the digital age and the field of social studies. What is digital social studies? Why do we need it and what is its purpose? What will social studies look like in the future? The contributing authors of this volume seek to explain, through an array of ideas and visions, what digital social studies can/should look like, while providing research and rationales for why digital social studies is needed and important. This volume includes twenty-two scholarly chapters discussing relevant topics of importance to digital social studies. The twenty-two chapters are divided into two sections. This stellar collection of writings includes contributions from leading scholars like Cheryl Mason Bolick, Michael Berson, Elizabeth Washington, Linda Bennett, and many more. |
| discovery education math techbook: Exploring Mathematics Daniel Grieser, 2018-05-21 Have you ever faced a mathematical problem and had no idea how to approach it? Or perhaps you had an idea but got stuck halfway through? This book guides you in developing your creativity, as it takes you on a voyage of discovery into mathematics. Readers will not only learn strategies for solving problems and logical reasoning, but they will also learn about the importance of proofs and various proof techniques. Other topics covered include recursion, mathematical induction, graphs, counting, elementary number theory, and the pigeonhole, extremal and invariance principles. Designed to help students make the transition from secondary school to university level, this book provides readers with a refreshing look at mathematics and deep insights into universal principles that are valuable far beyond the scope of this book. Aimed especially at undergraduate and secondary school students as well as teachers, this book will appeal to anyone interested in mathematics. Only basic secondary school mathematics is required, including an understanding of numbers and elementary geometry, but no calculus. Including numerous exercises, with hints provided, this textbook is suitable for self-study and use alongside lecture courses. |
| discovery education math techbook: Book of Proof Richard H. Hammack, 2016-01-01 This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. |
| discovery education math techbook: Mathematics for Secondary School Teachers Elizabeth G. Bremigan, Ralph J. Bremigan, John D. Lorch, 2011 Discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement. This volume is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers. |
| discovery education math techbook: Writing Math Research Papers - 5th Ed. Robert Gerver, 2017-12-01 Mathematics research papers provide a forum for all mathematics enthusiasts to exercise their mathematical experience, expertise and excitement. The research paper process epitomizes the differentiation of instruction, as each student chooses their own topic and extends it as far as their motivation and desire takes them. The features and benefits of the research paper process offer a natural alignment with all eight Common Core State Standards for Mathematical Practice. Writing Math Research Papers serves both as a text for students and as a resource for instructors and administrators. The Writing Math Research Papers program started at North Shore High School in 1991, and it received the 1997 Chevron Best Practices in Education Award as the premier high school math course in the United States. Author Robert Gerver’s articles on high school mathematics research programs were featured in the National Council of Teachers of Mathematics publication Developing Mathematically Promising Students, the NCTM’s 1999 Yearbook, Developing Mathematical Reasoning in Grades K – 12, and in the September 2017 issue of the Mathematics Teacher. |
| discovery education math techbook: Introduction to Proof in Abstract Mathematics Andrew Wohlgemuth, 2014-06-10 The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses. |
| discovery education math techbook: Basic Analysis I Jiri Lebl, 2018-05-08 Version 5.0. A first course in rigorous mathematical analysis. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, sequences of functions, and metric spaces. Originally developed to teach Math 444 at University of Illinois at Urbana-Champaign and later enhanced for Math 521 at University of Wisconsin-Madison and Math 4143 at Oklahoma State University. The first volume is either a stand-alone one-semester course or the first semester of a year-long course together with the second volume. It can be used anywhere from a semester early introduction to analysis for undergraduates (especially chapters 1-5) to a year-long course for advanced undergraduates and masters-level students. See http://www.jirka.org/ra/ Table of Contents (of this volume I): Introduction 1. Real Numbers 2. Sequences and Series 3. Continuous Functions 4. The Derivative 5. The Riemann Integral 6. Sequences of Functions 7. Metric Spaces This first volume contains what used to be the entire book Basic Analysis before edition 5, that is chapters 1-7. Second volume contains chapters on multidimensional differential and integral calculus and further topics on approximation of functions. |
| discovery education math techbook: The First Sourcebook on Asian Research in Mathematics Education - 2 Volumes Bharath Sriraman, Jinfa Cai, Kyeonghwa Lee, Lianghuo Fan, Yoshinori Shimizu, Chap Sam Lim, K. Subramaniam, 2015-08-01 Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives. |
| discovery education math techbook: Self-Regulated Learning and Academic Achievement Barry J. Zimmerman, Dale H. Schunk, 2013-05-13 This volume brings together internationally known researchers representing different theoretical perspectives on students' self-regulation of learning. Diverse theories on how students become self-regulated learners are compared in terms of their conceptual origins, scientific form, research productivity, and pedagogical effectiveness. This is the only comprehensive comparison of diverse classical theories of self-regulated learning in print. The first edition of this text, published in 1989, presented descriptions of such differing perspectives as operant, phenomenological, social learning, volitional, Vygotskian, and constructivist theories. In this new edition, the same prominent editors and authors reassess these classic models in light of a decade of very productive research. In addition, an information processing perspective is included, reflecting its growing prominence. Self-regulation models have proven especially appealing to teachers, coaches, and tutors looking for specific recommendations regarding how students activate, alter, and sustain their learning practices. Techniques for enhancing these processes have been studied with considerable success in tutoring sessions, computer learning programs, coaching sessions, and self-directed practice sessions. The results of these applications are discussed in this new edition. The introductory chapter presents a historical overview of research and a theoretical framework for comparing and contrasting the theories described in the following chapters, all of which follow a common organizational format. This parallel format enables the book to function like an authored textbook rather than a typical edited volume. The final chapter offers an historical assessment of changes in theory and trends for future research. This volume is especially relevant for students and professionals in educational psychology, school psychology, guidance and counseling, developmental psychology, child and family development, as well as for students in general teacher education. |
| discovery education math techbook: Algebra and Trigonometry Jay P. Abramson, Valeree Falduto, Rachael Gross (Mathematics teacher), David Lippman, Rick Norwood, Melonie Rasmussen, Nicholas Belloit, Jean-Marie Magnier, Harold Whipple, Christina Fernandez, 2015-02-13 The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs.--Page 1. |
| discovery education math techbook: Integrated Math III Carnegie Learning, 2013 Integrate Math III is the final course in the three-course Integrated Math series. With this course, students further explore quadratic functions and extend learning to polynomial functions. Students extend their understanding of arithmetic and geometric sequences to series, and their knowledge of trigonometric ratios to trigonometric functions. Additionally, students explore distributions of data, confidence intervals, and statistical significance. -- publisher |
| discovery education math techbook: Mathematics Education in Korea Jinho Kim, 2013 This book will introduce the history and practices of mathematics education in Korea. How it has been influenced from Japan, America, and other countries, and has developed into the unique Korean style of mathematics education. The editors have planned to include most of the topics researchers outside Korea want to know mathematics education in Korea. |
| discovery education math techbook: Math: Teacher's Guide hm Group, 2000-04-13 Do your students have difficulty understanding math terms??Remembering the steps of algorithms in sequence? Interpreting data in displays? Our math study skills program will help you teach them math and how to learn! Essential to the program is the comprehensive Teacher's Guide. It provides a focus on the importance of study skills, directions for using the student text, and practical suggestions for both the experienced and inexperienced teacher. |
| discovery education math techbook: Mathematics and Computation Avi Wigderson, 2019-10-29 From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography |
| discovery education math techbook: Teaching and Learning Mathematics Linda Jensen Sheffield, Douglas E. Cruikshank, 2004-03-29 Help students make sense of mathematics Rather than merely discussing how to improve students’ ability to do mathematics, this fifth edition focuses on helping them make sense of mathematics. Based on research on the functioning of the mind as it engages in learning, the text supports teachers as they promote mathematical understanding, strengthen students’ abilities to think, and help students to attain computational fluency. Features A rich collection of ready-to-use learning activities Fully integrated language and intent of Principles and Standards for School Mathematics (PSSM). A greater emphasis on problem solving and higher-level thinking A greater focus on teaching mathematics to diverse learners Descriptions of a variety of promising and effective mathematics programs for the K – 8 levels |
| discovery education math techbook: Reasoning J. M. Bond, 1995-12 |
| discovery education math techbook: Mathematics Classrooms: Students’ Activities and Teachers’ Practices Fabrice Vandebrouck, 2013-09-03 With cooperation of Aline Robert, Janine Rogalski, Maha Abboud-Blanchard, Claire Cazes, Monique Chappet-Pariès, Aurélie Chesnais, Christophe Hache, Julie Horoks, Eric Roditi & Nathalie Sayac. This book presents unique insights into a significant area of French research relating the learning and teaching of mathematics in school classrooms and their development. Having previously had only glimpses of this work, I have found the book fascinating in its breadth of theory, its links between epistemological, didactic and cognitive perspectives and its comprehensive treatment of student learning of mathematics, classroom activity, the work of teachers and prospective teacher development. Taking theoretical perspectives as their starting points, the authors of this volume present a rich array of theoretically embedded studies of mathematics teaching and learning in school classrooms. Throughout this book the reader is made aware of many unanswered questions and challenged to consider associated theoretical and methodological issues. For English-speaking communities who have lacked opportunity to access the French literature the book opens up a wealth of new ways of thinking about and addressing unresolved issues in mathematics learning, teaching and teacher education. I recommend it wholeheartedly! (Extract from Barbara Jaworski’s preface.) |
| discovery education math techbook: Applied Finite Mathematics , 2008 |
| discovery education math techbook: Getting Smart Tom Vander Ark, 2011-09-20 A comprehensive look at the promise and potential of online learning In our digital age, students have dramatically new learning needs and must be prepared for the idea economy of the future. In Getting Smart, well-known global education expert Tom Vander Ark examines the facets of educational innovation in the United States and abroad. Vander Ark makes a convincing case for a blend of online and onsite learning, shares inspiring stories of schools and programs that effectively offer personal digital learning opportunities, and discusses what we need to do to remake our schools into smart schools. Examines the innovation-driven world, discusses how to combine online and onsite learning, and reviews smart tools for learning Investigates the lives of learning professionals, outlines the new employment bargain, examines online universities and smart schools Makes the case for smart capital, advocates for policies that create better learning, studies smart cultures |
| discovery education math techbook: MATHEMATICS FOR ELEMENTARY TEACHERS. (PRODUCT ID 23864410). MICHELLE. MANES, 2018 |
| discovery education math techbook: How Chinese Teach Mathematics and Improve Teaching Yeping Li, Rongjin Huang, 2012-07-26 How Chinese Teach Mathematics and Improve Teaching builds upon existing studies to examine mathematics classroom instruction in China. It combines contributions from Chinese scholars with commentary from key Western scholars to offer multiple perspectives in viewing and learning about some important and distinctive features of mathematics classroom instruction. Viewing classroom instruction as part of teachers’ instructional practices, this book goes beyond teachers’ in-classroom instructional practice by also examining Chinese teachers’ approaches and practices in developing and improving teaching. Through this unique approach, How Chinese Teach Mathematics and Improve Teaching expands and unpacks the otherwise fragmented knowledge about Chinese practices in developing and carrying out mathematics classroom instruction. This book is indispensible reading for those interested in Chinese practices in mathematics teaching, and is a key book for teacher educators, school administrators and policy makers in expanding ways of supporting and helping mathematics teachers in instructional development and improvement. |
| discovery education math techbook: Common Core Math For Parents For Dummies with Videos Online Christopher Danielson, 2015-04-06 Help your child succeed with a better understanding of Common Core Math Common Core Math For Parents For Dummies is packed with tools and information to help you promote your child's success in math. The grade-by-grade walk-through brings you up to speed on what your child is learning, and the sample problems and video lessons help you become more involved as you study together. You'll learn how to effectively collaborate with teachers and keep tabs on your child's progress, so minor missteps can be corrected quickly, before your child falls behind. The Common Core was designed to improve college- and career-readiness, and to prepare U.S. students to be more competitive on an international stage when it's time to enter the workforce. This guide shows you how the standards were created, and how they've evolved over time to help ensure your child's future success. The Common Core Math Standards prepare students to do real math in the real world. Many new teaching methods are very different from the way most parents learned math, leading to frustration and confusion as parents find themselves unable to help with homework or explain difficult concepts. This book cuts the confusion and shows you everything you need to know to help your child succeed in math. Understand the key concepts being taught in your child's grade Utilize the homework tools that help you help your child Communicate more effectively with your child's teacher Guide your child through sample problems to foster understanding The Common Core was designed to ensure that every student, regardless of location or background, receives the education they need. Math skills are critical to real-world success, and the new standards reflect that reality in scope and rigorousness. Common Core Math For Parents For Dummies helps you help your child succeed. |
| discovery education math techbook: Open Resources for Community College Algebra Ann Cary, Ross Kouzes, Carl Yao, 2019-08-06 ORCCA (Open Resources for Community College Algebra) is an open-source beginning and intermediate algebra textbook created by faculty at Portland Community College. This is Part 1, which covers Chapters 1-4 of the entire textbook. It is designed for PCC's MTH 60 course (Introductory Algebra I).See pcc.edu/orcca for further resources related to this book. |
| discovery education math techbook: Introductory Statistics 2e Barbara Illowsky, Susan Dean, 2023-12-13 Introductory Statistics 2e provides an engaging, practical, and thorough overview of the core concepts and skills taught in most one-semester statistics courses. The text focuses on diverse applications from a variety of fields and societal contexts, including business, healthcare, sciences, sociology, political science, computing, and several others. The material supports students with conceptual narratives, detailed step-by-step examples, and a wealth of illustrations, as well as collaborative exercises, technology integration problems, and statistics labs. The text assumes some knowledge of intermediate algebra, and includes thousands of problems and exercises that offer instructors and students ample opportunity to explore and reinforce useful statistical skills. This is an adaptation of Introductory Statistics 2e by OpenStax. You can access the textbook as pdf for free at openstax.org. Minor editorial changes were made to ensure a better ebook reading experience. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution 4.0 International License. |
| discovery education math techbook: Core Values of Mathematics Education Contents David Ann, 2022-10-20 Mathematics can be characterized as an endeavor to discover the patterns hidden within nature. The math education content should be devised as a way of bringing out creativity within every individual, who each have a different unique talent, through the understanding of humanity and nature. Mathematics is the subject dedicated to discovering the hidden patterns within nature. Upon discovering this pattern, you can create something that provides happiness to people. Humans are part of nature. Therefore, the hidden patterns to making people happy must be embedded in the nature. Then, what are some of the things that can make people happy? People of today are lonely. They are waiting for something that can soothe their loneliness. Smartphones are fairly recent example of an item that soothes people’s loneliness. Also, people have thirst for anything that can extend their life span so they could live long and healthy lives. What are some of the examples? One of those items is new medicines, that cure diseases that were previously impossible to cure. Another example would be prescriptive tools such as MRI, ultrasonic waves and CT. Health and emotional issues are highly interrelated and all add up to allowing happy lives. Every machinery or technological devices that bring happiness are included in the field of high-tech industry. Mathematics is a ‘source technology’ for all high-tech industry. The level of a country’s mathematics skills is equivalent to the level of a country’s competence. Today, all first world countries have exceptional level of mathematics. The most ideal math education is an endeavor to discover the patterns hidden within nature. Before you do that, you first have to observe and starts from the very effort to find those patterns in animals and plants. Biologists are people who find patterns in animals and plants. The nature consists of plants and animals. If you observe them well, you would be able to uncover a distinctive, original pattern in all of them. A pattern is innately differentiated characteristic that every plant and animal has. In order to bring this act of observation into a field of mathematics, you have to be able to draw out those patterns. The patterns of animals and plants are very sophisticated, quite hard to realize the overarching pattern. If you can tag every pattern you find with a number or a word, you can turn the pattern into a form of an equation. Then, the overriding pattern becomes apprehensible. As such, numbers and languages are powerful tools that mathematicians use in the process of finding the hidden pattern behind the nature. Once we find the pattern through observation and tag them with a number or a language, we finally have the chance to discern the pattern itself. Numbers and languages are key features in ‘idealism’ that mathematicians support. Physicians say the following, “If physicians do not utilize numbers and languages of mathematics, we cannot even begin to collect our thoughts.” To simply put, idealism of mathematics is an equation. If you turn various possibilities of numbers into a language, what you’ll have in the end would be an equation. Long sentences that contain numbers can be easily turned into an equation if you utilize a language. There is a need to understand the saying, “The use of language has brought convenience to the field of mathematics.” The difference between calculation and mathematics stems from this very idea. Once you find the overriding pattern, you have to find the overarching rule. Because you have to figure out the reason why the structure of nature is created and goes extinct in order to find out the hidden pattern behind the nature. Every living organism has a consistent pattern. However, there are patterns hidden within patterns. A pattern and its destruction always exist side by side which makes it difficult for us to pinpoint the pattern of movement. Furthermore, a pattern might be multi-dimensional which makes external detection rather difficult. There seems to be some sort of a rule inside pattern but no one can be completely sure of what that pattern is precisely. In order to discern patterns, destruction of patterns, and patterns that appear within another pattern, people need to have higher perspective. Higher perspective can be nurtured without limit by acquiring a refined taste in the humanities. If we can cultivate classic taste for the humanities through reading so that we can understand societies that we do not live in, we will have the ability to see the invisible, hear the inaudible and gain insights into the world we’ve never been. The humanities is a story about people’s lives. It is about how creative people’s lives were throughout their life and how beautiful their death was when the moment came. The humanities is about life and death. By studying the humanities, people will gain new perspectives on profound subjects such as life and death, creation and extinction, time and space and finally the past, present and the future. Therefore, they can analyze the world of patterns that impact other patterns. If people can find the hidden pattern behind nature, they can understand the secret behind life and death of plants and animals. They can also understand the secret to creation and extinction of the nature. Mathematicians are people who devise a prediction mechanism to make projections on what will happen to living organisms by finding hidden patterns behind the nature. The most ideal mathematics education will enable you to cover fields of expertise in natural science such as biology, chemistry and physics. Biologists are people who find pattern by observing the nature and draw it out. Chemists then do their job of naming those that are visible, tangible and have forms. Physicians take care of the field of power and mechanisms that explain the process all living organisms maintain to keep their unique forms. Mathematicians are people who devise a prediction mechanism to make projections on what will happen to living organisms by finding out hidden patterns behind the nature. This is the very reason why we call mathematics the essence of natural science. Comprehending the world of chemistry for the structure of nature and the world of physics for power and mechanism is vital to find out hidden patterns behind the nature. We need to also understand the world of fractals (chemistry) and the world of chaos (physics). The world of chemistry and physics always maintain a structural relationship. At the same time, mathematicians figure out hidden patterns behind the nature by looking at both the world of chemistry and physics and speculating on what will happen to one organism and how big it will grow before it suddenly gets smaller and disappear. 2022. 10. 20 David Ann, Ph.D. PREFACE |
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