| concept mapping in math: Concept Mapping in Mathematics Karoline Afamasaga-Fuata'i, 2009-04-21 Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education. |
| concept mapping in math: Concept Mapping in Mathematics Karoline Afamasaga-Fuata'i, 2009-03-05 Concept Mapping in Mathematics: Research into Practice is the first comprehensive book on concept mapping in mathematics. It provides the reader with an understanding of how the meta-cognitive tool, namely, hierarchical concept maps, and the process of concept mapping can be used innovatively and strategically to improve planning, teaching, learning, and assessment at different educational levels. This collection of research articles examines the usefulness of concept maps in the educational setting, with applications and examples ranging from primary grade classrooms through secondary mathematics to pre-service teacher education, undergraduate mathematics and post-graduate mathematics education. A second meta-cognitive tool, called vee diagrams, is also critically examined by two authors, particularly its value in improving mathematical problem solving. Thematically, the book flows from a historical development overview of concept mapping in the sciences to applications of concept mapping in mathematics by teachers and pre-service teachers as a means of analyzing mathematics topics, planning for instruction and designing assessment tasks including applications by school and university students as learning and review tools. This book provides case studies and resources that have been field tested with school and university students alike. The findings presented have implications for enriching mathematics learning and making problem solving more accessible and meaningful for students. The theoretical underpinnings of concept mapping and of the studies in the book include Ausubel’s cognitive theory of meaningful learning, constructivist and Vygotskian psychology to name a few. There is evidence particularly from international studies such as PISA and TIMSS and mathematics education research, which suggest that students’ mathematical literacy and problem solving skills can be enhanced through students collaborating and interacting as they work, discuss and communicate mathematically. This book proposes the meta-cognitive strategy of concept mapping as one viable means of promoting, communicating and explicating students’ mathematical thinking and reasoning publicly in a social setting (e.g., mathematics classrooms) as they engage in mathematical dialogues and discussions. Concept Mapping in Mathematics: Research into Practice is of interest to researchers, graduate students, teacher educators and professionals in mathematics education. |
| concept mapping in math: No Bullshit Guide to Linear Algebra Ivan Savov, 2020-10-25 This textbook covers the material for an undergraduate linear algebra course: vectors, matrices, linear transformations, computational techniques, geometric constructions, and theoretical foundations. The explanations are given in an informal conversational tone. The book also contains 100+ problems and exercises with answers and solutions. A special feature of this textbook is the prerequisites chapter that covers topics from high school math, which are necessary for learning linear algebra. The presence of this chapter makes the book suitable for beginners and the general audience-readers need not be math experts to read this book. Another unique aspect of the book are the applications chapters (Ch 7, 8, and 9) that discuss applications of linear algebra to engineering, computer science, economics, chemistry, machine learning, and even quantum mechanics. |
| concept mapping in math: Concept Mapping As an Assessment Tool for Conceptual Understanding in Mathematics Haiyue Jin, 2022 This book investigates the practicability and effectiveness of the concept map as a tool for assessing students' conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students' conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which revealed fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers' attitudes toward concept mapping and describes the implications these findings may have for concept mapping's use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries-- |
| concept mapping in math: Concept Mapping for Planning and Evaluation Mary Kane, William M. K. Trochim, 2007 This is a complete guide to the concept mapping methodology and strategies behind using it for a broad range of social scientists - including students, researchers and practitioners. |
| concept mapping in math: Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics Haiyue JIN, 2022-05-05 This book investigates the practicability and effectiveness of the concept map as a tool for assessing students’ conceptual understanding in mathematics. The author first introduces concept mapping and then employs it to investigate students’ conceptual understanding of four different mathematical topics. Alongside traditional scoring methods, she adopts Social Network Analysis, a new technique, to interpret student-constructed concept maps, which reveals fresh insights into the graphic features of the concept map and into how students connect mathematical concepts. By comparing two traditional school tests with the concept map, she examines its concurrent validity and discusses its strengths and drawbacks from the viewpoint of assessing conceptual understanding. With self-designed questionnaires, interviews, and open-ended writing tasks, she also investigates students and teachers’ attitudes toward concept mapping and describes the implications these findings may have for concept mapping’s use in school and for further research on the topic. Scholars and postgraduate students of mathematics education and teachers interested in concept mapping or assessing conceptual understanding in classroom settings will find this book an informative, inspiring, and overall valuable addition to their libraries. |
| concept mapping in math: Conceptual Mathematics F. William Lawvere, Stephen H. Schanuel, 2009-07-30 This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. |
| concept mapping in math: Learning, Creating, and Using Knowledge Joseph D. Novak, 2010-02-02 This fully revised and updated edition of Learning, Creating, and Using Knowledge recognizes that the future of economic well being in today's knowledge and information society rests upon the effectiveness of schools and corporations to empower their people to be more effective learners and knowledge creators. Novak’s pioneering theory of education presented in the first edition remains viable and useful. This new edition updates his theory for meaningful learning and autonomous knowledge building along with tools to make it operational ─ that is, concept maps, created with the use of CMapTools and the V diagram. The theory is easy to put into practice, since it includes resources to facilitate the process, especially concept maps, now optimised by CMapTools software. CMapTools software is highly intuitive and easy to use. People who have until now been reluctant to use the new technologies in their professional lives are will find this book particularly helpful. Learning, Creating, and Using Knowledge is essential reading for educators at all levels and corporate managers who seek to enhance worker productivity. |
| concept mapping in math: Oxford Handbook of Numerical Cognition Roi Cohen Kadosh, Ann Dowker, 2015-07-30 How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature. |
| concept mapping in math: Visualizing Social Science Research Johannes Wheeldon, Mauri K. Ahlberg, 2011-07-12 This introductory text presents basic principles of social science research through maps, graphs, and diagrams. The authors show how concept maps and mind maps can be used in quantitative, qualitative, and mixed methods research, using student-friendly examples and classroom-based activities. Integrating theory and practice, chapters show how to use these tools to plan research projects, see analysis strategies, and assist in the development and writing of research reports. |
| concept mapping in math: Making Thinking Visible Ron Ritchhart, Mark Church, Karin Morrison, 2011-05-03 A proven program for enhancing students' thinking and comprehension abilities Visible Thinking is a research-based approach to teaching thinking, begun at Harvard's Project Zero, that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is a varied collection of practices, including thinking routines?small sets of questions or a short sequence of steps?as well as the documentation of student thinking. Using this process thinking becomes visible as the students' different viewpoints are expressed, documented, discussed and reflected upon. Helps direct student thinking and structure classroom discussion Can be applied with students at all grade levels and in all content areas Includes easy-to-implement classroom strategies The book also comes with a DVD of video clips featuring Visible Thinking in practice in different classrooms. |
| concept mapping in math: Knowledge and Information Visualization Sigmar-Olaf Tergan, Tanja Keller, 2005-06-27 formation. The basic ideas underlying knowledge visualization and information vi- alization are outlined. In a short preview of the contributions of this volume, the idea behind each approach and its contribution to the goals of the book are outlined. 2 The Basic Concepts of the Book Three basic concepts are the focus of this book: data, information, and kno- edge. There have been numerous attempts to define the terms data, information, and knowledge, among them, the OTEC Homepage Data, Information, Kno- edge, and Wisdom (Bellinger, Castro, & Mills, see http://www.syste- thinking.org/dikw/dikw.htm): Data are raw. They are symbols or isolated and non-interpreted facts. Data rep- sent a fact or statement of event without any relation to other data. Data simply exists and has no significance beyond its existence (in and of itself). It can exist in any form, usable or not. It does not have meaning of itself. |
| concept mapping in math: Advances in Visual Informatics Halimah Badioze Zaman, Peter Robinson, Patrick Olivier, Timothy K. Shih, Sergio Velastin, 2013-10-12 This book constitutes the refereed proceedings of the Third International Conference on Advances in Visual Informatics, IVIC 2013, held in Selangor, Malaysia, in November 2013. The four keynotes and 69 papers presented were carefully reviewed and selected from various submissions. The papers focus on four tracks: computer visions and engineering; computer graphics and simulation; virtual and augmented reality; and visualization and social computing. |
| concept mapping in math: Teaching Of Mathematics Dr. Anice James, |
| concept mapping in math: Artificial Intelligence in Education Elisabeth André, Ryan Baker, Xiangen Hu, Ma. Mercedes T. Rodrigo, Benedict du Boulay, 2017-06-22 This book constitutes the refereed proceedings of the 18th International Conference on Artificial Intelligence in Education, AIED 2017, held in Wuhan, China, in June/July 2017. The 36 revised full papers presented together with 4 keynotes, 37 poster, presentations, 4 doctoral consortium papers, 5 industry papers, 4 workshop abstracts, and 2 tutorial abstracts were carefully reviewed and selected from 159 submissions. The conference provides opportunities for the cross-fertilization of approaches, techniques and ideas from the many fields that comprise AIED, including computer science, cognitive and learning sciences, education, game design, psychology, sociology, linguistics as well as many domain-specific areas. |
| concept mapping in math: Probing Understanding Richard White, Richard Gunstone, 2014-04-23 This work aims to provide teachers at all levels and in all subjects with a greater range of practical methods for probing their students' understanding. These probes are presented in the manner of a starting set, to act as a stimulus to invention, rather than as a comprehensive list. |
| concept mapping in math: Teaching Science for Understanding Joel J. Mintzes, James H. Wandersee, Joseph D. Novak, 2005-02-21 Teaching Science for Understanding |
| concept mapping in math: Didactics of Mathematics as a Scientific Discipline Rolf Biehler, Roland W. Scholz, Rudolf Sträßer, Bernard Winkelmann, 2006-04-11 Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didactics of mathematics, the 30 original contributions to the book, drawn from 10 different countries, go on to identify certain subdisciplines and suggest an overall structure or `topology' of the field. The book is divided into eight sections: (1) Preparing Mathematics for Students; (2) Teacher Education and Research on Teaching; (3) Interaction in the Classroom; (4) Technology and Mathematics Education; (5) Psychology of Mathematical Thinking; (6) Differential Didactics; (7) History and Epistemology of Mathematics and Mathematics Education; (8) Cultural Framing of Teaching and Learning Mathematics. Didactics of Mathematics as a Scientific Discipline is required reading for all researchers into the didactics of mathematics, and contains surveys and a variety of stimulating reflections which make it extremely useful for mathematics educators and teacher trainers interested in the theory of their practice. Future and practising teachers of mathematics will find much to interest them in relation to their daily work, especially as it relates to the teaching of different age groups and ability ranges. The book is also recommended to researchers in neighbouring disciplines, such as mathematics itself, general education, educational psychology and cognitive science. |
| concept mapping in math: Learning How to Learn Barbara Oakley, PhD, Terrence Sejnowski, PhD, Alistair McConville, 2018-08-07 A surprisingly simple way for students to master any subject--based on one of the world's most popular online courses and the bestselling book A Mind for Numbers A Mind for Numbers and its wildly popular online companion course Learning How to Learn have empowered more than two million learners of all ages from around the world to master subjects that they once struggled with. Fans often wish they'd discovered these learning strategies earlier and ask how they can help their kids master these skills as well. Now in this new book for kids and teens, the authors reveal how to make the most of time spent studying. We all have the tools to learn what might not seem to come naturally to us at first--the secret is to understand how the brain works so we can unlock its power. This book explains: Why sometimes letting your mind wander is an important part of the learning process How to avoid rut think in order to think outside the box Why having a poor memory can be a good thing The value of metaphors in developing understanding A simple, yet powerful, way to stop procrastinating Filled with illustrations, application questions, and exercises, this book makes learning easy and fun. |
| concept mapping in math: International Joint Conference: 12th International Conference on Computational Intelligence in Security for Information Systems (CISIS 2019) and 10th International Conference on EUropean Transnational Education (ICEUTE 2019) Francisco Martínez Álvarez, Alicia Troncoso Lora, José António Sáez Muñoz, Héctor Quintián, Emilio Corchado, 2019-04-27 This volume presents papers presented at CISIS 2019 and ICEUTE 2019, held in the beautiful and historic city of Seville (Spain) in May 2019. The 12th CISIS 2019 conference offered a meeting opportunity for academic and industry-related researchers form the various communities of computational intelligence, information security and data mining, and the need for intelligent, flexible behaviour by large, complex systems, especially in mission-critical domains, was the catalyst and the aggregation stimulus for the event. The book covers current topics such as cryptographic and data analytics solutions to fulfil least minimum privilege and endorse least minimum effort in information systems. The book also includes 15 papers from the 10th ICEUTE 2019, covering topics like new approaches to assess competencies and innovation in computer science education. |
| concept mapping in math: The Nature of Mathematical Thinking Robert J. Sternberg, Talia Ben-Zeev, 2012-10-12 Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat. |
| concept mapping in math: Problems on Mapping Class Groups and Related Topics Benson Farb, 2006-09-12 The appearance of mapping class groups in mathematics is ubiquitous. The book presents 23 papers containing problems about mapping class groups, the moduli space of Riemann surfaces, Teichmuller geometry, and related areas. Each paper focusses completely on open problems and directions. The problems range in scope from specific computations, to broad programs. The goal is to have a rich source of problems which have been formulated explicitly and accessibly. The book is divided into four parts. Part I contains problems on the combinatorial and (co)homological group-theoretic aspects of mapping class groups, and the way in which these relate to problems in geometry and topology. Part II concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. A wide variety of problems, from understanding billiard trajectories to the classification of Kleinian groups, can be reduced to differential and synthetic geometry problems about moduli space. Such problems and connections are discussed in Part III. Mapping class groups are related, both concretely and philosophically, to a number of other groups, such as braid groups, lattices in semisimple Lie groups, and automorphism groups of free groups. Part IV concentrates on problems surrounding these relationships. This book should be of interest to anyone studying geometry, topology, algebraic geometry or infinite groups. It is meant to provide inspiration for everyone from graduate students to senior researchers. |
| concept mapping in math: Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being George Lakoff, Rafael E. Nunez, 2000-11-02 A study of the cognitive science of mathematical ideas. |
| concept mapping in math: Proceedings of the Sixth International Congress on Mathematical Education Ann Hirst, Keith Edwin Hirst, 1988 |
| concept mapping in math: Learning Through Visual Displays Gregory Schraw, Matthew T. McCrudden, Daniel Robinson, 2013-07-01 The purpose of the volume is to explore the theory, development and use of visual displays and graphic organizers to improve instruction, learning and research. We anticipate five sections that address (1) frameworks for understanding different types of displays, (2) research-tested guidelines for constructing displays, (3) empirically-based instructional applications, (4) using displays to promote research and theory development, and (5) using displays to report test and research data to improve consumer understanding. Authors represent a variety of perspectives and areas of expertise, including instructional psychology, information technology, and research methodologies. The volume is divided into four sections. Section 1 provides a conceptual overview of previous research, as well as the contents of the current volume. Section 2 includes theoretical perspectives on the design and instructional uses of visual displays from major theorists in the field. These chapters discuss ways that visual displays enhance general cognition and information processing. Section 3 provides eight chapters that address the use of visual displays to enhance student learning. These chapters provide examples of how to organize content and use visual displays in a variety of ways in the real and virtual classroom. Section 4 includes three chapters that discuss ways that visual displays may enhance the research process, but especially improved data display. |
| concept mapping in math: International Encyclopedia of Hospitality Management Abraham Pizam, 2010 This encyclopedia covers all of the relevant issues in the field of hospitality management from both a sectoral level as well as a functional one. It's unique user-friendly structure enables readers to find exactly the information they require at a glance. |
| concept mapping in math: Use Both Sides of Your Brain Tony Buzan, 1990 From the bestselling author of The Mind Map Book, proven mind mapping techniques to help you raise all levels of your intelligence and creativity, based on the latest discoveries about the human brain. Using the latest research on the workings of the human brain, Tony Buzan, one of the world's leading authorities on learning techniques, provides step-by-step exercises for discovering the powers of the right side of the brain and learning to use the left side more effectively. By increasing our understanding of how the mind works, he teaches us: · How to read faster and more effectively · How to study more efficiently and increase overall memory · How language and imagery can be used for recording, organizing, remembering, creative thinking and problem solving. This completely updated Third Edition of a classic work provides a proven way of using our brains to their fullest potential and to our best advantage. |
| concept mapping in math: Literacy in Context (LinC) Mimi Miller, Nancy Veatch, 2011 Teachers and students studying to be teachers want strategies that they can use in the classroom and this book definitely delivered...The reader is hooked from the first page.---Amy MacKenzie, Manhattanville College, Purchase, NY -- |
| concept mapping in math: Innovating with Concept Mapping Alberto Cañas, Priit Reiska, Joseph Novak, 2016-08-20 This book constitutes the refereed proceedings of the 7th International Conference on Concept Mapping, CMC 2016, held in Tallinn, Estonia, in September 2016. The 25 revised full papers presented were carefully reviewed and selected from 135 submissions. The papers address issues such as facilitation of learning; eliciting, capturing, archiving, and using “expert” knowledge; planning instruction; assessment of “deep” understandings; research planning; collaborative knowledge modeling; creation of “knowledge portfolios”; curriculum design; eLearning, and administrative and strategic planning and monitoring. |
| concept mapping in math: Science Concept Cartoons Stuart Naylor, Brenda Keogh, 2014-10 This title provides classroom materials and guidance for teachers of science in primary and secondary schools. |
| concept mapping in math: The Great Mental Models, Volume 1 Shane Parrish, Rhiannon Beaubien, 2024-10-15 Discover the essential thinking tools you’ve been missing with The Great Mental Models series by Shane Parrish, New York Times bestselling author and the mind behind the acclaimed Farnam Street blog and “The Knowledge Project” podcast. This first book in the series is your guide to learning the crucial thinking tools nobody ever taught you. Time and time again, great thinkers such as Charlie Munger and Warren Buffett have credited their success to mental models–representations of how something works that can scale onto other fields. Mastering a small number of mental models enables you to rapidly grasp new information, identify patterns others miss, and avoid the common mistakes that hold people back. The Great Mental Models: Volume 1, General Thinking Concepts shows you how making a few tiny changes in the way you think can deliver big results. Drawing on examples from history, business, art, and science, this book details nine of the most versatile, all-purpose mental models you can use right away to improve your decision making and productivity. This book will teach you how to: Avoid blind spots when looking at problems. Find non-obvious solutions. Anticipate and achieve desired outcomes. Play to your strengths, avoid your weaknesses, … and more. The Great Mental Models series demystifies once elusive concepts and illuminates rich knowledge that traditional education overlooks. This series is the most comprehensive and accessible guide on using mental models to better understand our world, solve problems, and gain an advantage. |
| concept mapping in math: Ready, Study, Go! Khurshed Batliwala, Dinesh Ghodke, 2016-11-10 Can studying really be interesting and enjoyable? This book explores attitudes towards studying and offers tips and techniques to turn studying into an interesting, enjoyable activity instead of the dull drudgery that it is for most people. Why study subjects you don't like? How to exercise and diet right to keep your brain alert? How to use mind maps to study during an emergency?Art of Living teachers Khurshed Batliwala and Dinesh Ghodke distill years of learning and teaching young people into this fun, easy-to-read book. |
| concept mapping in math: Toward Equity and Social Justice in Mathematics Education Tonya Gau Bartell, 2018-08-14 This critical volume responds to the enduring challenge in mathematics education of addressing the needs of marginalized students in school mathematics, and stems from the 2015 Annual Meeting of the North American Group of the Psychology of Mathematics Education (PME-NA). This timely analysis brings greater clarity and support to such challenges by narrowing in on four foci: theoretical and political perspectives toward equity and justice in mathematics education, identifying and connecting to family and community funds of knowledge, student learning and engagement in preK-12 mathematics classrooms, and supporting teachers in addressing the needs of marginalized learners. Each of these areas examines how race, class, culture, power, justice and mathematics teaching and learning intersect in mathematics education to sustain or disrupt inequities, and include contributions from scholars writing about mathematics education in diverse contexts. Included in the coverage: Disrupting policies and reforms to address the needs of marginalized learners A socio-spatial framework for urban mathematics education Linking literature on allywork to the work of mathematics teacher educators Transnational families’ mathematical funds of knowledge Multilingual and technological contexts for supporting learners’ mathematical discourse Preservice teachers’ strategies for teaching mathematics with English learners Toward Equity and Social Justice in Mathematics Education is of significant interest to mathematics teacher educators and mathematics education researchers currently addressing the needs of marginalized students in school mathematics. It is also relevant to teachers of related disciplines, administrators, and instructional designers interested in pushing our thinking and work toward equity and justice in mathematics education. |
| concept mapping in math: Guided Math: A Framework for Mathematics Instruction Sammons, Laney, 2017-03-01 Use a practical approach to teaching mathematics that integrates proven literacy strategies for effective instruction. This professional resource will help to maximize the impact of instruction through the use of whole-class instruction, small-group instruction, and Math Workshop. Incorporate ideas for using ongoing assessment to guide your instruction and increase student learning, and use hands-on, problem-solving experiences with small groups to encourage mathematical communication and discussion. Guided Math supports the College and Career Readiness and other state standards. |
| concept mapping in math: Digital Knowledge Maps in Education Dirk Ifenthaler, Ria Hanewald, 2013-11-01 Digital knowledge maps are ‘at a glance’ visual representations that enable enriching, imaginative and transformative ways for teaching and learning, with the potential to enhance positive educational outcomes. The use of such maps has generated much attention and interest among tertiary education practitioners and researchers over the last few years as higher education institutions around the world begin to invest heavily into new technologies designed to provide online spaces within which to build resources and conduct activities. The key elements of this edited volume will comprise original and innovative contributions to existing scholarship in this field, with examples of pedagogical possibilities as they are currently practiced across a range of contexts. It will contain chapters that address, theory, research and practical issues related to the use of digital knowledge maps in all aspects of tertiary education and draws predominantly on international perspectives with a diverse group of invited contributors. Reports on empirical studies as well as theoretical/conceptual chapters that engage deeply with pertinent questions and issues raised from a pedagogical, social, cultural, philosophical, and/or ethical standpoint are included. Systematic literature reviews dealing with digital knowledge mapping in education are also an integral part of the volume. |
| concept mapping in math: 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. |
| concept mapping in math: Helping Children Learn Mathematics National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study Committee, 2002-07-31 Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society. |
| concept mapping in math: How to Mind Map Tony Buzan, 2002 This practical, mini-guide teaches readers quick-fire methods that will have them creating Mind Maps in minutes, to maximize brainpower and improve creativity. |
| concept mapping in math: Pre-Algebra Mary P. Dolciani, Robert H. Sorgenfrey, John Alexander Graham, 1991-05 |
| concept mapping in math: The Surprising Power of Liberating Structures Henri Lipmanowicz, Keith McCandless, 2014-10-28 Smart leaders know that they would greatly increase productivity and innovation if only they could get everyone fully engaged. So do professors, facilitators and all changemakers. The challenge is how. Liberating Structures are novel, practical and no-nonsense methods to help you accomplish this goal with groups of any size. Prepare to be surprised by how simple and easy they are for anyone to use. This book shows you how with detailed descriptions for putting them into practice plus tips on how to get started and traps to avoid. It takes the design and facilitation methods experts use and puts them within reach of anyone in any organization or initiative, from the frontline to the C-suite. Part One: The Hidden Structure of Engagement will ground you with the conceptual framework and vocabulary of Liberating Structures. It contrasts Liberating Structures with conventional methods and shows the benefits of using them to transform the way people collaborate, learn, and discover solutions together. Part Two: Getting Started and Beyond offers guidelines for experimenting in a wide range of applications from small group interactions to system-wide initiatives: meetings, projects, problem solving, change initiatives, product launches, strategy development, etc. Part Three: Stories from the Field illustrates the endless possibilities Liberating Structures offer with stories from users around the world, in all types of organizations -- from healthcare to academic to military to global business enterprises, from judicial and legislative environments to R&D. Part Four: The Field Guide for Including, Engaging, and Unleashing Everyone describes how to use each of the 33 Liberating Structures with step-by-step explanations of what to do and what to expect. Discover today what Liberating Structures can do for you, without expensive investments, complicated training, or difficult restructuring. Liberate everyone's contributions -- all it takes is the determination to experiment. |
CONCEPT Definition & Meaning - Merriam-Webster
The meaning of CONCEPT is something conceived in the mind : thought, notion. How to use concept in a sentence. Synonym Discussion of Concept.
CONCEPT Synonyms: 70 Similar and Opposite Words - Merriam-Webster
Synonyms for CONCEPT: notion, conception, stereotype, theory, generalization, hypothesis, saying, generality; Antonyms of CONCEPT: fact, reality, actuality
CONCEPT | English meaning - Cambridge Dictionary
CONCEPT definition: 1. a principle or idea: 2. to not understand about something: 3. a principle or idea: . Learn more.
Concept - Wikipedia
In a physicalist theory of mind, a concept is a mental representation, which the brain uses to denote a class of things in the world.
Concept - Definition, Meaning & Synonyms - Vocabulary.com
A concept is a thought or idea. If you're redecorating your bedroom, you might want to start with a concept, such as "flower garden" or "outer space." It's a general idea about a thing or group of …
CONCEPT Definition & Meaning | Dictionary.com
a general notion or idea; conception. an idea of something formed by mentally combining all its characteristics or particulars; a construct. a directly conceived or intuited object of thought. a …
concept noun - Definition, pictures, pronunciation and usage …
Definition of concept noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
CONCEPT | definition in the Cambridge Learner’s Dictionary
CONCEPT meaning: an idea or principle: . Learn more.
Concept - definition of concept by The Free Dictionary
1. a general notion or idea; conception. 2. an idea of something formed by mentally combining all its characteristics or particulars; a construct. 3. a directly conceived or intuited object of …
Concept Definition & Meaning - YourDictionary
An idea or thought, esp. a generalized idea of a thing or class of things; abstract notion. An original idea, design, etc.; conception. A central or unifying idea or theme. A concept …
CONCEPT Definition & Meaning - Merriam-Webster
The meaning of CONCEPT is something conceived in the mind : thought, notion. How to use concept in a sentence. Synonym Discussion of Concept.
CONCEPT Synonyms: 70 Similar and Opposite Words - Merriam-Webster
Synonyms for CONCEPT: notion, conception, stereotype, theory, generalization, hypothesis, saying, generality; Antonyms of CONCEPT: fact, reality, actuality
CONCEPT | English meaning - Cambridge Dictionary
CONCEPT definition: 1. a principle or idea: 2. to not understand about something: 3. a principle or idea: . Learn more.
Concept - Wikipedia
In a physicalist theory of mind, a concept is a mental representation, which the brain uses to denote a class of things in the world.
Concept - Definition, Meaning & Synonyms - Vocabulary.com
A concept is a thought or idea. If you're redecorating your bedroom, you might want to start with a concept, such as "flower garden" or "outer space." It's a general idea about a thing or group of …
CONCEPT Definition & Meaning | Dictionary.com
a general notion or idea; conception. an idea of something formed by mentally combining all its characteristics or particulars; a construct. a directly conceived or intuited object of thought. a …
concept noun - Definition, pictures, pronunciation and usage …
Definition of concept noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.
CONCEPT | definition in the Cambridge Learner’s Dictionary
CONCEPT meaning: an idea or principle: . Learn more.
Concept - definition of concept by The Free Dictionary
1. a general notion or idea; conception. 2. an idea of something formed by mentally combining all its characteristics or particulars; a construct. 3. a directly conceived or intuited object of …
Concept Definition & Meaning - YourDictionary
An idea or thought, esp. a generalized idea of a thing or class of things; abstract notion. An original idea, design, etc.; conception. A central or unifying idea or theme. A concept restaurant …
