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“A noteworthy feature of the book is that eleven of the chapter authors work in mainland China … The edited collection is a significant contribution to the research literature and provides an important resource in the field.” Research in Mathematics Education “In a context of revolving reforms of the mathematical curricula in the West, the research presented in How Chinese Learn Mathematics certainly gives a lot of food for thought about effectively combining a problem-oriented approach to basic mathematical knowledge and skills with a conceptual and abstract representation of mathematical objects.”EASTM “The book copes with the issue of mathematics education in a culturally attentive way and offer hints to reconsider policies on mathematics education in the Western world. Hence, it should be present in the library of each education department.”EMS Newsletter The book has been written by an international group of very active researchers and scholars who have a passion for the study of Chinese mathematics education. It aims to provide readers with a comprehensive and updated picture of the teaching and learning of mathematics involving Chinese students from various perspectives, including the ways in which Chinese students learn mathematics in classrooms, schools and homes, the influence of the cultural and social environment on Chinese students' mathematics learning, and the strengths and weaknesses of the ways in which Chinese learn mathematics. Furthermore, based on the...
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Preparing students for their future calls for fresh thinking about mathematics teaching and learning. Shifting the mathematics program in a school or school system is an ambitious task that can yield huge benefits for students. Author Cathy L. Seeley offers an overview of what an effective and successful mathematics program might look like at any level in the K-12 system and what a leader can do to support improvement toward that vision. It considers •The needs and abilities of the students. •The nature of the mathematics we want them to learn. •The kinds of classrooms where that learning can best take place. •The culture of schools where such classrooms thrive. •The first steps in a process by which leaders can create those schools.
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Thinking styles is one of the important aspects of one's cognitive behaviour.It refers to the knowledge attained or skills developed in the school subjects, usually designed by test, art and craft, creative works given by the teacher or by different concepts assigned by teachers.Thinking styles at the adolescence stage are a turning point of achievement in an individual life.Generally Mathematics itself has lot of concepts leading to develop the creative thinking and reasoning skills of the learners.Thinking styles determines the level of achievement of the student.Therefore there is a strong relation between the mathematics achievement and thinking styles.The challenges and problems faced by the individual or by society are solved through serious efforts involving thinking styles.The power of thinking styles and personality traits may consider being the essential tools for the welfare and meaningful existence of the individual as well as the society.Thinking style is one of the positive factor which leads to higher achievement in mathematics.In this context,this book is an important contribution in analyzing the effect of thinking styles in mathematics achievement of the learner.
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This book provides examples of the ways in which 9-12 grade mathematics teachers from across North America are engaging inresearch. It offers a glimpse of the questions that capture the attention of teachers, the methodologies that they use to gather data, and theways in which they make sense of what they find. The focus of these teachers' investigations into mathematics classrooms ranges from students'understanding of content to pedagogical changes to social issues. Underlying the chapters is the common goal of enabling students todevelop a deep understanding of the mathematics they learn in their classrooms.By opening their analysis of their classroom practice to our inspection, these courageous teachers have invited us to think alongwith them and to learn more about our own teaching as a result. By sharing their work, they have given the mathematics education communityan important opportunity. Everyone who reads this book-teachers, researchers, teacher-researchers, policy makers, administrators, andothers interested in mathematics education-can learn from the findings and the light that they shed on issues important to mathematics education.This book, and the series of which it is a part, also provides the opportunity to step back and reflect on what can be learned aboutresearch from teachers who have engaged in the process. Areas of insight include: (a) the importance of collaboration and participation incommunities that value research, (b) the potential of teache...
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The mathematics curriculum - what mathematics is taught, to whom it is taught, and when it is taught - is the bedrock to understanding what mathematics students can, could, and should learn. Today's digital technology influences the mathematics curriculum in two quite different ways. One influence is on the delivery of mathematics through hardware such as desktops, laptops, and tablets. Another influence is on the doing of mathematics using software available on this hardware, but also available on the internet, calculators, or smart phones.These developments, rapidly increasing in their availability and decreasing in their cost, raise fundamental questions regarding a mathematics curriculum that has traditionally been focused on paper-and-pencil work and taught in many places as a set of rules to be practiced and learned.This volume presents the talks given at a conference held in 2014 at the University of Chicago, sponsored by the Center for the Study of Mathematics Curriculum. The speakers - experts from around the world and inside the USA - were asked to discuss one or more of the following topics:• changes in the nature and creation of curricular materials available to students• transformations in how students learn and how they demonstrate their learning• rethinking the role of the teacher and how students and teachers interact within a classroom and across distances from each otherThe result is a set of articles that are interesting and captivating, and challenge u...
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The 14 chapters in this monograph provide support for mathematics teacher educators in both their Practical Knowledge and their Professional Knowledge. Individually, these articles provide insights into advancing our thinking about professional development, teacher preparation, and program development. Collectively, they have the potential to help the field of mathematics teacher education move forward in framing effective practices in mathematics teacher education and developing a focused, cohesive research agenda. ATME's Monograph 5, therefore, is a superb resource for mathematics teacher education.
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Think your way to a more positive life Positive thinking is an approach and a set of skills that we can all learn. But it’s not just about how and what you think; you’ve got to do something! In a range of situations, positive thinking needs to be followed by positive action. The good news is that whatever life has thrown at you in the past and whatever is you want to achieve in the future, the Positive Thinking Pocketbook will help you think and behave more positively. Inside, you’ll find out how to use tips, techniques and advice on creating a positive mindset and developing your positive thinking. Next, you’ll find out how to apply that positive thinking to a range of potentially difficult situations. • Little approachable exercises make it easy to get started • Full of scenarios, ideas, advice, tips and techniques • Learn how to overcome negative thinking, get motivated and stay motivated • Discover how to make positive thinking a habit Whenever you want a shot of positivity, simply pick out a few ideas, tips and techniques that appeal to you and give them a try!
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A Volume in International Perspectives on Mathematics Education- Cognition, Equity & SocietySeries Editor Bharath Sriraman, The University of Montana and Lyn English, QueenslandUniversity of TechnologyThe purpose of the book is to consider embodiment as it applies to mathematical thinking, and tolink mathematics education research to recent work in gesture studies, cognitive linguistics andthe theory of embodied cognition. Just as in past decades, mathematics education experienced a"turn to the social" in which socio-cultural factors were explored, in recent years there has been anascent "turn to the body." An increasing number of researchers and theorists in mathematics education have become interested in thefact that, although mathematics may be socially constructed, this construction is not arbitrary or unconstrained, but rather is rooted in,and shaped by, the body. All those who engage with mathematics, whether at an elementary or advanced level, share the same basic biologicaland cognitive capabilities, as well as certain common physical experiences that come with being humans living in a materialworld. In addition, the doing and communicating of mathematics is never a purely intellectual activity: it involves a wide range ofbodily actions, from committing inscriptions to paper or whiteboard, to speaking, listening, gesturing and gazing. This volume willpresent recent research on gesture and mathematics, within a framework that addresses several level...
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Mathematics teacher education has a critical role to play in preparing teachers to put at center stage goals tosupport equity in mathematics education and to diversify student interest and participation in mathematics.These goals must also resonate with broader public interest goals to improve educational and socialconditions both in the U.S. and abroad. The Mathematics Teacher Education in the Public Interest book aimsto support mathematics teacher educators to prepare teachers with new knowledge and skills to support allstudents to learn mathematics and to become informed, engaged, and critical citizens within theircommunity, nation, and world. While internationally there is considerable interest among mathematicseducators in issues of equity and social justice, the literature on mathematics teacher education for equity andsocial justice thus far has been very limited.The book provides theoretical discussions on the need for equity and social justice emphases inmathematics teacher education, as well as practical examples from mathematics teacher educators, documenting their own professional efforts tocenter practices on equity and social justice. Section emphases include critical perspectives on mathematics teacher education, the use of equity andsocial justice-themed activities in mathematics teacher preparation courses, and issues of identity and community and cultural contexts in mathematicsteacher education. In addition syntheses of major ideas of the book are offered b...
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A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.
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A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.
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Sweet Reason: A Field Guide to Modern Logic, 2nd Edition offers an innovative, friendly, and effective introduction to logic. It integrates formal first order, modal, and non-classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics. An innovative introduction to the field of logic designed to entertain as it informs Integrates formal first order, modal, and non-classical logic with natural language reasoning, analytical writing, critical thinking, set theory, and the philosophy of logic and mathematics Addresses contemporary applications of logic in fields such as computer science and linguistics A web-site (www.wiley.com/go/henle) linked to the text features numerous supplemental exercises and examples, enlightening puzzles and cartoons, and insightful essays
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Train your brain for better decisions, problem solving, and innovation Think Smarter: Critical Thinking to Improve Problem-Solving and Decision-Making Skills is the comprehensive guide to training your brain to do more for you. Written by a critical thinking trainer and coach, the book presents a pragmatic set of tools to apply critical thinking techniques to everyday business issues. Think Smarter is filled with real world examples that demonstrate how the tools work in action, in addition to dozens of practice exercises applicable across industries and functions, Think Smarter is a versatile resource for individuals, managers, students, and corporate training programs. Thinking is the foundation of everything you do, but we rely largely on automatic thinking to process information, often resulting in misunderstandings and errors. Shifting over to critical thinking means thinking purposefully using a framework and toolset, enabling thought processes that lead to better decisions, faster problem solving, and creative innovation. Think Smarter provides clear, actionable steps toward improving your critical thinking skills, plus exercises that clarify complex concepts by putting theory into practice. Features include: A comprehensive critical thinking framework Over twenty-five «tools» to help you think more critically Critical thinking implementation for functions and activities Examples of the real-world use of each tool Learn what questions to ask, how to uncover the real problem to solve, and mistakes to avoid. Recognize assumptions your can rely on versus those without merit, and train your brain to tick through your mental toolbox to arrive at more innovative solutions. Critical thinking is the top skill on the wish list in the business world, and sharpening your ability can have profound affects throughout all facets of life. Think Smarter: Critical Thinking to Improve Problem-Solving and Decision-Making Skills provides a roadmap to more effective and productive thought.
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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the third-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
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This book is designed to provide ample practice material for students preparing for the Foundation Based Education (FBE) exam in mathematics. The book progresses smoothly by providing a small step by step method for working out problem and then providing numerous drills to ensure retention of the skills. Higher order thinking skills are re-enforced by the numerous word problems scattered throughout. The book then provides sample exams that closely approximate the actual FBE Exit Exams in order to provide the students with the feel of the actual exam.
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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the sixth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
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Engage students in mathematics using growth mindset techniques The most challenging parts of teaching mathematics are engaging students and helping them understand the connections between mathematics concepts. In this volume, you'll find a collection of low floor, high ceiling tasks that will help you do just that, by looking at the big ideas at the fourth-grade level through visualization, play, and investigation. During their work with tens of thousands of teachers, authors Jo Boaler, Jen Munson, and Cathy Williams heard the same message—that they want to incorporate more brain science into their math instruction, but they need guidance in the techniques that work best to get across the concepts they needed to teach. So the authors designed Mindset Mathematics around the principle of active student engagement, with tasks that reflect the latest brain science on learning. Open, creative, and visual math tasks have been shown to improve student test scores, and more importantly change their relationship with mathematics and start believing in their own potential. The tasks in Mindset Mathematics reflect the lessons from brain science that: There is no such thing as a math person – anyone can learn mathematics to high levels. Mistakes, struggle and challenge are the most important times for brain growth. Speed is unimportant in mathematics. Mathematics is a visual and beautiful subject, and our brains want to think visually about mathematics. With engaging questions, open-ended tasks, and four-color visuals that will help kids get excited about mathematics, Mindset Mathematics is organized around nine big ideas which emphasize the connections within the Common Core State Standards (CCSS) and can be used with any current curriculum.
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This monograph marks a major step in the growth of the Association of Mathematics Teacher Educators (AMTE) as the leading organization for mathematics teacher educators. It is an effort by AMTE to provide further support for the work of mathematics teacher educators throughout the United States. It is hoped that readers will find this monograph to be useful in their day-to-day work with mathematics teachers. Learning to be a mathematics teacher is a life-long process, but so is learning to be a mathematics teacher educator. Just as mathematics teachers need opportunities for professional growth, so do mathematics teacher educators. Publications such as this monograph can serve an important role in the professional development of mathematics teacher educators.
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A Volume in International Perspectives on Mathematics Education- Cognition, Equity & SocietySeries Editor Bharath Sriraman, The University of Montana and Lyn English, QueenslandUniversity of TechnologyThis volume represents a serious attempt to understand what it is that structures the pedagogicalexperience. In that attempt there are two main objectives. One is a theoreticalinterest that involves examining the issue of the subjectivity of the teacher and exploringhow intersubjective negotiations shape the production of classroom practice. A secondobjective is to apply these understandings to the production of mathematical knowledgeand to the construction of identities in actual mathematics classrooms. To that end thebook will contain substantial essays that draw on postmodern philosophies of the socialto explore theory's relationship with the practice of mathematics pedagogy.Unpacking Pedagogy takes new ideas seriously and engages readers in theory development. Groundbreaking in content, thebook investigates how our thinking about classroom practice in general, and mathematics teaching (and learning), in particular,might be transformed. As a key resource for interrogating and understanding classroom life, the book's sophisticatedanalyses allow readers to build new knowledge about mathematics pedagogy. In turn, that new knowledge will providethem with the tools to engage more actively in educational criticism and to play a role in educational change.
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The goal of AMTE Monograph 4, "Cases in Mathematics Teacher Education: Tools for Developing Knowledge Needed for Teaching", is to provide detailed accounts of case use that will inform the mathematics teacher education community on the range of ways in which cases can be used to foster teacher learning and the capacity to reflect on and learn from teaching. The chapters in this monograph describe the use of cases with preservice and practicing teachers at all levels K - 12, in content and methods courses as well as professional development settings, and focus on developing various aspects of teachers' knowledge base (i.e., content, pedagogy, and students as learners). Hence, Monograph 4 should prove to be a superb resource for mathematics teacher educators.
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Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The course bridges the gap between mainstream curriculum teaching and CLIL (Content and Language Integrated Learning) or English-medium teaching. It aims to introduce mathematics in a simple and interesting way, with clearly structured lessons and colourful and appealing artwork. Multi-leveled tasks help children apply what they've learnt to the real world. Macmillan Mathematics caters for mixed ability classes and is designed to stimulate different types of mathematical thinking. "Try This" boxes offer new challenges for fast finishers and provide more practice for other learners. Assess and review sections, in addition to the core teaching units, encourage further practice and consolidation of skills, and give teachers an effective way of evaluating their pupils' progress. Embark on a journey through the world of numbers, shapes and equations in Macmillan Mathematics, the Primary Mathematics course that counts.
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This book is an 8-Week Facilitator Guide, it is designed to teach Anger Management and Conflict Resolution skills to anyone willing to learn them.
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Document from the year 2012 in the subject Education - Educational Tests & Measurements, , language: English, abstract: Mathematics is an important discipline of learning at the secondary stage. It predominantly contributes to the development of precision, rational and analytical thinking, reasoning and scientific temper. One of the basic aims of teaching Mathematics at secondary stage is to inculcate the skill of quantification of experience gathered by the learner. But still some of the students find Mathematics as very difficult subject. Among different branches of Mathematics, Algebra is used to enable the learner to apply its knowledge to other branches of Mathematics. The pre-requisite test can help the students to know their weaknesses in the basic concepts and it also helps the teachers to know the level of their students. The authors had constructed a pre-requisite test covering all units of Algebra of standard X and implemented on the randomly selected standard X students of the twelve non-granted Gujarati medium schools of Vadodara, Gujarat, India. Based on the findings of the study, the authors discussed and suggested some ways for the teachers teaching Mathematics at secondary school level.
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Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.
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A volume in Research on Technology and the Teaching and Learningof Mathematics: Syntheses, Cases, and PerspectivesAccording to NCTM's Principles and Standards for School Mathematics, "Technology isessential in teaching and learning of mathematics; it influences the mathematics that is taughtand it enhances students' learning." How does research inform this clarion call for technology inmathematics teaching and learning? In response to the need to craft appropriate roles fortechnology in school mathematics new technological approaches have been applied to theteaching and learning of mathematics, and these approaches have been examined by researchersworld-wide.The first volume provides insight into what research suggests about the nature of mathematicslearning in technological environments. Included in this volume are syntheses of research ontechnology in the learning of rational number, algebra, elementary and secondary geometry,mathematical modeling, and calculus. Additional chapters synthesize research on technology in the practice of teaching and on equityissues in the use of technology in mathematics instruction. Instead of simply reporting achievement scores of students who use technologyin their learning, authors provide thoughtful analyses of bodies of research with the goal of understanding the ways in which technologyaffects what and how students learn. Each of the chapters in this volume is written by a team of experts whose own research hasprovided i...
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50 Ways to Create True Connection50 Ways to Create Great Relationships is full of practical advice for developing deeper and more satisfying relationships. Chandler offers a fresh approach to relationship building where we are encouraged to overcome robotic, passive thinking and create a more active, optimistic self-image. Healthy, productive new relationships evolve naturally as we learn to listen to and value those around us. We can learn to "Think and Thank" in our personal and professional lives and grow beyond negative perceptions and harmful unresolved conflicts.
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The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
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Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application of mathematics in everyday life. Divided into two parts, Mathematics for the Liberal Arts first traces the history of mathematics from the ancient world to the Middle Ages, then moves on to the Renaissance and finishes with the development of modern mathematics. In the second part, the book explores major topics of calculus and number theory, including problem-solving techniques and real-world applications. This book emphasizes learning through doing, presents a practical approach, and features: A detailed explanation of why mathematical principles are true and how the mathematical processes work Numerous figures and diagrams as well as hundreds of worked examples and exercises, aiding readers to further visualize the presented concepts Various real-world practical applications of mathematics, including error-correcting codes and the space shuttle program Vignette biographies of renowned mathematicians Appendices with solutions to selected exercises and suggestions for further reading Mathematics for the Liberal Arts is an excellent introduction to the history and concepts of mathematics for undergraduate liberal arts students and readers in non-scientific fields wishing to gain a better understanding of mathematics and mathematical problem-solving skills.
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Praise for stop acting like a seller and Start Thinking Like a Buyer «Stop Acting Like a Seller and Start Thinking Like a Buyer is a book that teaches you emphatically that 'words matter.' If you want to set yourself apart from others, whether you're selling a product or a concept, this is a book to read. Not only will you learn how to prepare for sales success, you will learn how to be far more effective by thinking like a buyer.» —Theresa Martinez, Brand Director, Roche Laboratories «This book shares a great commonsense approach to developing a new sales attitude and mindset that will work no matter what you're selling. Jerry has successfully articulated a powerful and unique formula for sales greatness.» —Duggar Baucom, head basketball coach, Virginia Military Institute «This is a book for people who truly want to have incredible success in sales. Thinking like a buyer is the most powerful way to help customers and prospects think differently about you and your product. This book shows you exactly how to make that happen in a step-by-step way. If you want to learn how to guarantee your success in selling or influencing, this is a book you must read.» —Dan C. Weilbaker, PhD, McKesson Professor of Sales, Northern Illinois University «A mind shift takes place when you read Acuff's book and realize 'it's all about them.' The book helps you understand human psychology and behavior and gives you the practical tips, encouragement, and examples to help you stand out and be valued by your customers regardless of what you're selling.» —Charlene Prounis, Managing Partner, Flashpoint Medica
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Through the chapters in this volume we learn about the research foci and/ or questions that these classroom teachers are interested in examining,the mathematics content through which they engaged their students in these explorations, the data sources they used to make sense oftheir focus and questions, and their roles in the research.An overarching theme through all the chapters in this volume is the learning and professional development that occurs through teacherresearch. What these authors learned about student learning and their own teaching practice far exceeded the focus of their particularresearch questions. For some, the research validated their beliefs and instructional practices; for others, it deepened or extended their understandingof mathematics, or raised their expectations of students' capabilities. For all, it is fair to say, their research increased their awarenessof how students come to know and understand mathematics, and enabled them to gain insight into the complexity of teaching. Lampert(2001) noted, "One reason teaching is a complex practice is that many of the problems a teacher must address to get students to learn occursimultaneously, not one after another" (p. 2). We, as readers, gain a window into these teachers' research within and about the complexity ofclassroom teaching.
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This second volume of Critical Thinking for Marketers expands your background knowledge of other areas of critical thinking that are making major contributions to both marketing as a social science and marketing as an applied science. Section I, Think Better, provides introductory discussions of - marketing as a science; the difference between correlation and causation; the meaning of what a "concept" is and why it is critical for marketers to develop good concept definitions (e.g., "What is customer satisfaction?"); why the 18th century Scottish philosopher David Hume is relevant to marketers today; and the impact that behavioral economics is having on how marketers do their job. Section II, Cognitive Biases and Their Importance, talks about recent discoveries in cognitive psychology and neuroscience that have relevance to marketers. You'll learn that marketers need to be aware of their own cognitive biases and irrational thinking processes, which often lead to making bad decisions, and that the retail and business customers we market to are not as rational as we may think and hope they are. Finally, Section III, Conclusions, draws on both Volumes I and II to summarize the book's primary messages with helpful hints on applying your new tools and making better marketing decisions.
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Growing out of a course in the history of mathematics given to school teachers,the present book covers a number of topics of elementary mathematics from both the mathematical and historical perspectives.Included are topics from geometry (π, Napoleon's Theorem, trigonometry),recreational mathematics (the Pell equation, Fibonacci numbers), and computational mathematics (finding square roots, mathematical tables). Although written with the needs of the mathematics teacher in mind, the book can be read profitably by any high school graduate with a liking for mathematics.
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The sixth monograph of AMTE highlights examples of the important scholarship of the mathematics teacher education community. This monograph, like others produced by AMTE, serves as a forum for mathematics teacher educators to exchange ideas, experiences, resources, and detailed acounts of work to improve preservice and inservice teacher preparation. Chapters address important issues such as: designing tasks to emphasize mathematics knowledge for teaching; capitalizing on opportunities for student teaching mentor learning; and learning to lead classroom mathematics discussions.
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The experience and knowledge acquired in teacher education courses should build important fundamentalsfor the future teaching of mathematics. In particular, experience in mathematical problem solving, and inplanning lessons devoted to problem solving, is an essential component of teacher preparation. This bookdevelops a problem solving approach and is intended to be a text used in mathematics education courses (orprofessional development) for pre-service or in-service middle and secondary school teachers. It can be usedboth in graduate and undergraduate courses, in accordance with the focus of teacher preparation programs.The content of the book is suited especially for those students who are further along in their mathematicseducation preparation, as the text is more involved with mathematical ideas and problem solving, anddiscusses some of the intricate pedagogical considerations that arise in teaching. The text is written not as anintroduction to mathematics education (a first course), but rather as a second, or probably, third course. Thebook deals both with general methodology issues in mathematics education incorporating a problem solvingapproach (Chapters 1-6) and with more concrete applications within the context of specific topics - algebra, geometry, and discrete mathematics(Chapters 7-13).The book provides opportunities for teachers to engage in authentic mathematical thinking. The mathematical ideas under consideration build onspecific middle and secondary school ...
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Imagine overhearing a conversation taking place that outlines in great detail your life. You hear who your parents are going to be, your siblings. You learn what will be going on in society at the time of your birth. You even learn about the friends and people you will have in your life and exactly when they will come in to help you learn something at a precise moment in time. You hear what you will be learning from certain situations, people, and places. Your purpose will be to use all of this information to fulfill a predetermined purpose within humanity.Everyone wants to know his or her purpose in life. That's just human nature. This book challenges the reader to exercise selfthinking as opposed to group thinking. Group thinking gives group questions therefore getting group answers. We are individuals, and individual thinking gives individual questions, thus individual answers, which in turn builds humanity as a whole. It's learning to ask "the correct question" that most struggle with and what jeopardizes progression. In the TV game Jeopardy, the correct answer was asking the correct question . . . such is life.
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An essential guide to using Maxima, a popular open source symbolic mathematics engine to solve problems, build models, analyze data and explore fundamental concepts Symbolic Mathematics for Chemists offers students of chemistry a guide to Maxima, a popular open source symbolic mathematics engine that can be used to solve problems, build models, analyze data, and explore fundamental chemistry concepts. The author – a noted expert in the field – focuses on the analysis of experimental data obtained in a laboratory setting and the fitting of data and modeling experiments. The text contains a wide variety of illustrative examples and applications in physical chemistry, quantitative analysis and instrumental techniques. Designed as a practical resource, the book is organized around a series of worksheets that are provided in a companion website. Each worksheet has clearly defined goals and learning objectives and a detailed abstract that provides motivation and context for the material. This important resource: Offers an text that shows how to use popular symbolic mathematics engines to solve problems Includes a series of worksheet that are prepared in Maxima Contains step-by-step instructions written in clear terms and includes illustrative examples to enhance critical thinking, creative problem solving and the ability to connect concepts in chemistry Offers hints and case studies that help to master the basics while proficient users are offered more advanced avenues for exploration Written for advanced undergraduate and graduate students in chemistry and instructors looking to enhance their lecture or lab course with symbolic mathematics materials, Symbolic Mathematics for Chemists: A Guide for Maxima Users is an essential resource for solving and exploring quantitative problems in chemistry.
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How to unlock creative thinking and innovation in business.The meteor that will wipe out dinosaur thinking in today's world has already hit. How can we stand out in a changing landscape, to add more value, to cope with different expectations and be remarkable?Just one good idea could transform you business...What's the difference between a creative genius, capable of coming up with transformational profit making ideas for their business, and a straightforward, regular chief executive, who while doing a great job, finds that mythical elusive idea is 'just outside of conscious reach'?You'll learn the secret and surprising answer to this and many other questions in this intriguing book.Your creative thinking will allow you to be nimble, to be niche and to be able to notice and take advantages of opportunities.
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Many, if not most, American high school students have a difficult time with mathematics. The question becomes why. When comparing the math abilities of incoming foreign-born students with native-born students, one apparent distinct difference was that the foreign-born students were becoming bilingual as they were studying math in school. The foreign-born students had to learn the alphabet to form words in English. Does mathematics have an alphabet, and if it does, how is it used to form mathematical sentences? Is there a correlation between the two because mathematics is considered to be the universal language? The germination of that idea is the rationale for this effort.
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A Volume in The Montana Mathematics Enthusiast:Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaThe word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied toa situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments orjudgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authorscontributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics insociety and the implications for education. Traditional reasons for teaching mathematics include: preparing a newgeneration of mathematics researchers and a cadre of technically competent users of mathematics; training students tothink logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remainvalid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing manyaspects of contemporary society, that will connect mathematics education to the lived experiences of students, theircommunities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians andmathematics educators.The book is organized in four sections (1) Mathematics education: For what and why?(2) Globalization and cultural...
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An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.
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Number puzzles, spatial/visual puzzles, cryptograms, Sudoku, Kokuro, logic puzzles, and word games like Frame Games are all a great way to teach math and problem-solving skills to elementary and middle school students. In these two new collections, puzzle master Terry Stickels provides puzzles and brain games that range from simple to challenging and are organized by grade level and National Council of Teachers of Mathematics (NCTM) content areas. Each book offers over 300 brain games that will help students learn core math concepts and develop critical thinking skills. The books include a wide range of puzzle types and cover a variety of math topics, from fractions and geometry to probability and algebra.
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Students need to learn to manage their time, organise their studies, understand, learn, and convey a lot of information – and they need to learn to do it quickly. Whether you’re fresh out of school, or a mature student returning to education, you now don’t need to feel alone! With Study Skills For Dummies, you'll be given the know-how and confidence to achieve consistent results every time – and a lack of preparation will become a thing of the past. Discover how to excel at: Note-taking, speed-reading and essay-writing Improving your memory, critical thinking and analysis Using the internet to supplement study Exam skills and developing the best learning strategy to fit your specific needs and abilities
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A Volume in The Montana Mathematics Enthusiast:Monograph Series in Mathematics EducationSeries Editor Bharath Sriraman, The University of MontanaThe intent of this monograph is to showcase successful implementation ofmathematical discourse in the classroom. Some questions that might beaddressed are:* How does a teacher begin to learn about using discourse purposefully toimprove mathematics teaching and learning?* How is discourse interwoven into professional development content courses toprovide teachers with the tools necessary to begin using discourse in their ownclassrooms?* What does a discourse-rich classroom look like and how is it different from other classrooms, from both theteacher's and the students' perspectives?* How can teachers of pre-service teachers integrate discourse into their content and methods courses?* How can we use discourse research to inform work with teachers, both pre- and in-service, for example, to helpthem know how to respond to elicited knowledge from students in their classrooms?* What are the discourse challenges in on-line mathematics courses offered for professional development? Canon-line classrooms also be discourse-rich? What would that look like?* In what ways does mathematical discourse differ from discourse in general?
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For the first time, all of your first 100 lessons of mathematics are in one book. Come on a journey that takes you from numbers and symbols to branches of mathematics including arithmetic, percentages, geometry, and algebra. Unlock the secrets of the mathematics of money. These first 100 lessons are presented in learning order to maximize your progress.
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Winners are not born. They learned how. You can learn how, too.“Winners don’t have more stamina or built-in genius, they have just learned how to think in ways that get them the results they want,” says motivational expert Rabbi Stephen Baars.Most of us believe that motivation creates success, but in this book you’ll learn that it’s the other way around: It’s knowing that you are going to succeed that creates motivation. Winners have learned how to make challenging goals easy, but easy doesn’t mean lower. The trick is to take the goals you really want, and make THEM easy.Winners don’t have more stamina. They just have better ideas. They don’t have higher IQs. They just have great strategy.This book will change your thinking, just by reading it.
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Japan, South Korea, Singapore and India are the countries that have strong and dynamic economy in the 21st century. One of the most important factors which contributes to these countries to come to the existing position is due to the curriculum that they have designed in mathematics and science subjects for their young generations. The authors have tried to go through the curriculum 0f these countries starting from kindergarten to high school. The book shows how they have laid foundation in mathematics and science in the ladder of their education system. We encourage scholars to go through the book and check what their country education looks like by taking the indicators that we used to compare. After reading the book, they will have an opportunity to learn from these countries and forward some valuable intellectual inputs to their countries. These days it has become common to call South Korea by the name of "Dynamic Korea". This is the result of the science and mathematics curriculum they have designed for their competency. Finally we strongly encourage all developing and developed nations who are attempting to progress and bring sustainable development have to take time and lear
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The book is based on the recently held Symposium on mathematics and its connections to the artsand sciences, namely the second Mathematics and its Connections to the Arts and Sciences(MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collectionof interdisciplinary research initiatives undertaken by mathematics educators with implicationsfor practitioners concerned with teaching and learning processes. The papers cover a widegenre of research domains within mathematics education (cognition, modelling, problem solving,teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technologicalinitiatives and research related to science education). The major interdisciplinary themes of thepapers in this book are:1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting?2. How can the intricate connections between mathematics and physics be used to design and researchinterdisciplinary activities in schools and the university?3. How can research within the ethnomathematics domain of mathematics education be linked to criticalmathematics education and interdisciplinary projects involving mathematics, art and culture?4. How can the push for mathematical and statistical literacy be connected to other subjects in the schoolcurricula and emphasized via interdisciplinary activities?5. What are concrete examples of classroom experiments with empirical data that demonstrate ne...
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This book is a critically important contribution to the work underway to transform schooling forstudents who have historically been denied access to a quality education, specifically African Americanchildren. The first section of the book provides some historical perspective critical to understanding thecurrent state of education in the U.S., specifically for the education of African American children. Thefollowing sections include chapters on policy, learning, ethnomathematics, student identity, and teacherpreparation as it relates to the mathematical education of Black children. Through offering"counternarratives" about mathematically successful Black youth, advocating for a curriculum that isgrounded in African American culture and ways of thinking, providing shining examples of thebrilliance of Blacks students, and promoting high expectations for all rather than situating students asthe problem, the authors of this book provide powerful insights related to the teaching and learning of mathematics for African American students. Asis made evident in this book, effective teaching involves much more than just engaging students in inquiry-based pedagogy (Kitchen, 2003). Thechapters offered in this book demonstrate how mathematics instruction for African American students needs to take into account historicalmarginalization and present-day policies that do harm to Black students (Kunjufu, 2005). Empowering mathematics instruction for African Americanstudents needs to ta...
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“Why are there wars?” “If I am really good, will I go to heaven?” “Why are some people mean to others?”Children have many questions! They deserve truthful answers to their questions. As they learn the truth, a foundation of understanding is being established that will last a lifetime.This book gives truthful answers in a concise way to stimulate thinking and conversation about many topics bothering children. What a confusing world our children are facing! Often, our efforts to make everything fun and easy simply confuse children all the more. The earlier in life children can understand answers to their questions, based on the Scripture, the easier their future will be. Children are constantly required to make decisions. Without the correct knowledge, how can they make the right decisions?My Thinking Book is designed for children to read for themselves or have it read to them. Unless otherwise noted, Scripture is taken from the New King James Version of the Bible. Although reading ability varies, generally, third-graders or above can read it. Parents may choose to read My Thinking Book to the children to provide a springboard for conversation.A parent would do well to make My Thinking Book available for every child!
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Helpful 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.
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Scientific Study from the year 2014 in the subject Pedagogy - School Pedagogics, grade: 82, , course: Mathematics Teaching, language: English, abstract: The aim of this study is to investigate how children learn Geometry (at all levels of compulsory education) in Mathematics. This study was chosen because of my difficulties in the area and the possible under-representation of Geometry in the Mathematics Curriculum. Five tasks were given to two students for each Key Stage 1-5 inclusive. These were then analysed using the "Van Hiele model of Geometric" reasoning; which was used to make an assessment of children's geometrical ability. The study also draws on theoretical frameworks from eminent researchers like Vygotsky, Piaget and Bruner as well as engaging fully with current educational literature and research. A questionnaire on Geometry was also completed by a variety of primary, secondary and A-level mathematics teachers. It was found that geometrical ability increases with age (although young children can display sophisticated knowledge of shape) and that students mainly drew shapes of a non-prototypical orientation. This has increased my subject knowledge and enhanced my classroom practice and also may have the implication of changing other practitioners' teaching strategies.
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Stop negative thinking and tackle your problems at work using Cognitive Behavioural Therapy (CBT). Learn to control anger and frustration, reduce workplace anxiety and...
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Document from the year 2014 in the subject Mathematics - Applied Mathematics, grade: 13, , course: B.Tech, Semester-II, language: English, abstract: Its applied mathematics notes for B.Tech students of Second Semester of Indian Universities.Strictly according to the syllabus of P.T.U (Jalandhar)
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Proven strategies to help kids learn faster and better, from bestselling author Bill Handley Kids who succeed at school aren't necessarily smarter than other kids. Often, they're simply better at learning. Speed Learning for Kids helps you teach your child how to thrive at school by learning more in less time with less effort. The brain-training techniques in this book will enable kids to not just learn faster, but enjoy their learning, memorise as they go, and absorb as much in ten minutes as they normally would in two hours of study. How is it possible? These nontraditional techniques aren't mysterious, they're just not often taught. Any child can learn to learn, and the results really matter—with improved concentration, better short- and long-term memory, more creative thinking, and better memory and reading comprehension skills. Includes study techniques that replace rote learning to achieve better test results on everything from spelling tests, NAPLAN and entrance exams Written by Bill Handley, author of the bestselling books Teach Your Children Tables and Speed Maths for Kids Features brain-training techniques that will not only improve school performance, but also improve problem-solving and creative thinking for long-term career success If you want to give your kids a boost in school, Speed Learning for Kids offers proven, effective strategies and techniques that lead to success in the classroom and beyond.
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Discrete Mathematics for Teachers is a text designed to fill this void. The topic is right. Discrete mathematics provides a rich and varied source of problems for exploration and communication, expands knowledge of mathematics in directions related to elementary and middle school curricula, and is easily presented using our best understanding of the ways that mathematics is learned and taught. The presentation is right. In the spirit of NCTM's Principles and Standards for School Mathematics, topics are presented with careful attention to the best traditions of problem solving, reasoning and proof, communication, connections with other disciplines and other areas of mathematics, and varied modes of representation.
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Want to learn something well? Make media to advance knowledge and gain new ideas. You don’t have to be a communication professional to create to learn. Today, with free and low-cost digital tools, everyone can compose videos, blogs and websites, remixes, podcasts, screencasts, infographics, animation, remixes and more. By creating to learn, people internalize ideas and express information creatively in ways that may inspire others. Create to Learn is a ground-breaking book that helps learners create multimedia texts as they develop both critical thinking and communication skills. Written by Renee Hobbs, one of the foremost experts in media literacy, this book introduces a wide range of conceptual principles at the heart of multimedia composition and digital pedagogy. Its approach is useful for anyone who sees the profound educational value of creating multimedia projects in an increasingly digital and connected world. Students will become skilled multimedia communicators by learning how to gather information, generate ideas, and develop media projects using contemporary digital tools and platforms. Illustrative examples from a variety of student-produced multimedia projects along with helpful online materials offer support and boost confidence. Create to Learn will help anyone make informed and strategic communication decisions as they create media for any academic, personal or professional project.
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This book reflects the author's experience in teaching a mathematics content course for pre-service elementaryteachers. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciencesfor the preparation of teachers demonstrating how abstract mathematical concepts can be motivated byconcrete activities. Such an approach, when enhanced by the use of technology, makes it easier for the teachersto grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts onhigher levels of abstraction. A strong experiential component of the book made possible by the use of manipulativematerials and digital technology such as spreadsheets, The Geometer's Sketchpad, Graphing Calculator 3.5(produced by Pacific Tech), and Kid Pix Studio Deluxe makes it possible to balance informal and formalapproaches to mathematics, allowing the teachers to learn how the two approaches complement each other.Classroom observations of the teachers' learning mathematics as a combination of theory and experiment confirmthat this approach elevates one's mathematical understanding to a higher ground. The book not only showsthe importance of mathematics content knowledge for teachers but better still, how this knowledge can be graduallydeveloped in the context of exploring grade-appropriate activities and tasks and using computational andmanipulative environments to support these explorations.Most of the chapters are motivated...
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Don't Just Learn Fractions …Master Them! Brimming with fun and educational games and activities, the Magical Math series provides everything you need to know to become a master of mathematics! In each of these books, Lynette Long uses her own unique style to help you truly understand mathematical concepts as you play with everyday objects such as playing cards, dice, coins, and paper and pencil. Inside Fabulous Fractions, you'll find out all about fractions, from what they look like to how to write them, to the relationship between fractions and decimals, and more. While playing exciting games like Super Domino ESP and Reduce It!, you'll learn about proper fractions and how to reduce them. And with games like Combination Pizza, Fraction Jeopardy!, and three-in-a-Row-Bingo, you'll learn to add, subtract, multiply, and divide fractions while you have fun! So why wait? Jump right in and find out how easy it is to become a mathematics master!
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Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils.
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Macmillan Mathematics is a six-level Primary Mathematics course designed to meet the needs of international learners. The Teacher's Guide includes facsimiles of the Pupil's Book pages, answers to all the exercises, and supportive lesson notes to ensure that teachers get the most out of the course and their pupils. An easy-to-read presentation of the early history of mathematics Engaging and accessible, An Introduction to the Early Development of Mathematics provides a captivating introduction to the history of ancient mathematics in early civilizations for a nontechnical audience. Written with practical applications in a variety of areas, the book utilizes the historical context of mathematics as a pedagogical tool to assist readers working through mathematical and historical topics. The book is divided into sections on significant early civilizations including Egypt, Babylonia, China, Greece, India, and the Islamic world. Beginning each chapter with a general historical overview of the civilized area, the author highlights the civilization’s mathematical techniques, number representations, accomplishments, challenges, and contributions to the mathematical world. Thoroughly class-tested, An Introduction to the Early Development of Mathematics features: Challenging exercises that lead readers to a deeper understanding of mathematics Numerous relevant examples and problem sets with detailed explanations of the processes and solutions at the end of each chapter Additional references on specific topics and keywords from history, archeology, religion, culture, and mathematics Examples of practical applications with step-by-step explanations of the mathematical concepts and equations through the lens of early mathematical problems A companion website that includes additional exercises An Introduction to the Early Development of Mathematics is an ideal textbook for undergraduate courses on the history of mathematics and a supplement for elementary and secondary education majors. The book is also an appropriate reference for professional and trade audiences interested in the history of mathematics. Michael K. J. Goodman is Adjunct Mathematics Instructor at Westchester Community College, where he teaches courses in the history of mathematics, contemporary mathematics, and algebra. He is also the owner and operator of The Learning Miracle, LLC, which provides academic tutoring and test preparation for both college and high school students.