Concept Mapping In Mathematics

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Concept Mapping in Mathematics

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer Science & Business Media
ISBN 13 : 0387891943
Total Pages : 339 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Concept Mapping in Mathematics by : Karoline Afamasaga-Fuata'i

Download or read book Concept Mapping in Mathematics written by Karoline Afamasaga-Fuata'i and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 for Planning and Evaluation

Author : Mary Kane
Publisher : SAGE Publications, Incorporated
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Concept Mapping for Planning and Evaluation by : Mary Kane

Download or read book Concept Mapping for Planning and Evaluation written by Mary Kane and published by SAGE Publications, Incorporated. This book was released on 2007 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

No Bullshit Guide to Linear Algebra

Author : Ivan Savov
Publisher :
ISBN 13 : 9780992001025
Total Pages : 596 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis No Bullshit Guide to Linear Algebra by : Ivan Savov

Download or read book No Bullshit Guide to Linear Algebra written by Ivan Savov and published by . This book was released on 2020-10-25 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-Based Mathematics

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
ISBN 13 : 150633265X
Total Pages : 307 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Concept-Based Mathematics by : Jennifer T.H. Wathall

Download or read book Concept-Based Mathematics written by Jennifer T.H. Wathall and published by Corwin Press. This book was released on 2016-01-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant

Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

Author : Haiyue JIN
Publisher : Taylor & Francis
ISBN 13 : 1000585611
Total Pages : 223 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics by : Haiyue JIN

Download or read book Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics written by Haiyue JIN and published by Taylor & Francis. This book was released on 2022-05-05 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Visualizing Social Science Research

Author : Johannes Wheeldon
Publisher : SAGE
ISBN 13 : 145223955X
Total Pages : 225 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Visualizing Social Science Research by : Johannes Wheeldon

Download or read book Visualizing Social Science Research written by Johannes Wheeldon and published by SAGE. This book was released on 2011-07-12 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conceptual Mathematics

Author : F. William Lawvere
Publisher : Cambridge University Press
ISBN 13 : 0521894859
Total Pages : 409 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Conceptual Mathematics by : F. William Lawvere

Download or read book Conceptual Mathematics written by F. William Lawvere and published by Cambridge University Press. This book was released on 2009-07-30 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.

Learning, Creating, and Using Knowledge

Author : Joseph D. Novak
Publisher : Routledge
ISBN 13 : 1135184461
Total Pages : 334 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Learning, Creating, and Using Knowledge by : Joseph D. Novak

Download or read book Learning, Creating, and Using Knowledge written by Joseph D. Novak and published by Routledge. This book was released on 2010-02-02 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Teaching Of Mathematics

Author : Dr. Anice James
Publisher :
ISBN 13 : 9788183161602
Total Pages : pages
Book Rating : 4.1/5 (616 download)

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Book Synopsis Teaching Of Mathematics by : Dr. Anice James

Download or read book Teaching Of Mathematics written by Dr. Anice James and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Didactics of Mathematics as a Scientific Discipline

Author : Rolf Biehler
Publisher : Springer Science & Business Media
ISBN 13 : 030647204X
Total Pages : 459 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Didactics of Mathematics as a Scientific Discipline by : Rolf Biehler

Download or read book Didactics of Mathematics as a Scientific Discipline written by Rolf Biehler and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Teaching Science for Understanding

Author : Joel J. Mintzes
Publisher : Academic Press
ISBN 13 : 0080879241
Total Pages : 381 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Teaching Science for Understanding by : Joel J. Mintzes

Download or read book Teaching Science for Understanding written by Joel J. Mintzes and published by Academic Press. This book was released on 2005-02-21 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Science for Understanding

Pedagogy for Conceptual Thinking and Meaning Equivalence: Emerging Research and Opportunities

Author : Etkind, Masha
Publisher : IGI Global
ISBN 13 : 1799819876
Total Pages : 154 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Pedagogy for Conceptual Thinking and Meaning Equivalence: Emerging Research and Opportunities by : Etkind, Masha

Download or read book Pedagogy for Conceptual Thinking and Meaning Equivalence: Emerging Research and Opportunities written by Etkind, Masha and published by IGI Global. This book was released on 2019-11-08 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in neuroscience and brain imaging show that exposure of learners to multi-semiotic problems enhance cognitive control of inter-hemispheric attentional processing in the lateral brain and increase higher-order thinking. Multi-semiotic representations of conceptual meaning are found in most knowledge domains where issues of quantity, structure, space, and change play important roles, including applied sciences and social science. Teaching courses in History and Theory of Architecture to young architecture students with pedagogy for conceptual thinking allows them to connect analysis of historic artifact, identify pattern of design ideas extracted from the precedent, and transfer concepts of good design into their creative design process. Pedagogy for Conceptual Thinking and Meaning Equivalence: Emerging Research and Opportunities is a critical scholarly resource that demonstrates an instructional and assessment methodology that enhances higher-order thinking, deepens comprehension of conceptual content, and improves learning outcomes. Based on the rich literature on word meaning and concept formation in linguistics and semiotics, and in developmental and cognitive psychology, it shows how independent studies in these disciplines converge on the necessary clues for constructing a procedure for the demonstration of mastery of knowledge with equivalence-of-meaning across multiple representations. Featuring a wide range of topics such as curriculum design, learning outcomes, and STEM education, this book is essential for curriculum developers, instructional designers, teachers, administrators, education professionals, academicians, policymakers, and researchers.

Probing Understanding

Author : Richard White
Publisher : Routledge
ISBN 13 : 1134732414
Total Pages : 210 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis Probing Understanding by : Richard White

Download or read book Probing Understanding written by Richard White and published by Routledge. This book was released on 2014-04-23 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Creative Enterprise of Mathematics Teaching Research

Author : Bronislaw Czarnocha
Publisher : Springer
ISBN 13 : 9463005498
Total Pages : 538 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis The Creative Enterprise of Mathematics Teaching Research by : Bronislaw Czarnocha

Download or read book The Creative Enterprise of Mathematics Teaching Research written by Bronislaw Czarnocha and published by Springer. This book was released on 2016-07-28 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Creative Enterprise of Mathematics Teaching Research presents the results and methodology of work of the teaching-research community of practice of the Bronx (TR Team of the Bronx). It has a twofold aim of impacting both teachers of Mathematics and researchers in Mathematics Education. This volume can be used by teachers of mathematics who want to use research to reflect upon and to improve their teaching craft, as well as by researchers who are interested in uncovering riches of classroom learning/teaching for research investigations. This book represents the results of a collaboration of instructors discussing their own instruction research, analyzed through a conceptual framework obtained via the synthesis of creativity research and educational learning theories, based upon the work of Piaget and Vygotsky. The editors see an urgent need for creative synthesis of research and teaching, an example of which is presented in the book. Two central themes of the book are the methodology of TR/NYCity model and creativity, more precisely, creativity of the Aha moment formulated by Arthur Koestler (1964) in a very profound but little known theory of bisociation exposed in his work “The Act of Creation”. Incorporation of the theory of bisociation into classroom teaching of mathematics provides the key to enable students who may struggle with mathematics to engage their own creativity, become involved in their learning process and thus reach their full potential of excellence. Creativity in teaching remedial mathematics is teaching gifted students how to access their own giftedness.

Fundamental Concepts of Mathematics

Author : R. L. Goodstein
Publisher : Elsevier
ISBN 13 : 148315405X
Total Pages : 334 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Fundamental Concepts of Mathematics by : R. L. Goodstein

Download or read book Fundamental Concepts of Mathematics written by R. L. Goodstein and published by Elsevier. This book was released on 2014-07-14 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics. The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text. Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.

Knowledge Cartography

Author : Alexandra Okada
Publisher : Springer
ISBN 13 : 1447164709
Total Pages : 555 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Knowledge Cartography by : Alexandra Okada

Download or read book Knowledge Cartography written by Alexandra Okada and published by Springer. This book was released on 2014-10-07 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the process by which manually crafting interactive, hypertextual maps clarifies one’s own understanding, communicates it to others, and enables collective intelligence. The authors see mapping software as visual tools for reading and writing in a networked age. In an information ocean, the challenge is to find meaningful patterns around which we can weave plausible narratives. Maps of concepts, discussions and arguments make the connections between ideas tangible - and critically, disputable. With 22 chapters from leading researchers and practitioners (5 of them new for this edition), the reader will find the current state-of-the-art in the field. Part 1 focuses on knowledge maps for learning and teaching in schools and universities, before Part 2 turns to knowledge maps for information analysis and knowledge management in professional communities, but with many cross-cutting themes: · reflective practitioners documenting the most effective ways to map · conceptual frameworks for evaluating representations · real world case studies showing added value for professionals · more experimental case studies from research and education · visual languages, many of which work on both paper and with software · knowledge cartography software, much of it freely available and open source · visit the companion website for extra resources: books.kmi.open.ac.uk/knowledge-cartography Knowledge Cartography will be of interest to learners, educators, and researchers in all disciplines, as well as policy analysts, scenario planners, knowledge managers and team facilitators. Practitioners will find new perspectives and tools to expand their repertoire, while researchers will find rich enough conceptual grounding for further scholarship.

Making Thinking Visible

Author : Ron Ritchhart
Publisher : John Wiley & Sons
ISBN 13 : 047091551X
Total Pages : 325 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Making Thinking Visible by : Ron Ritchhart

Download or read book Making Thinking Visible written by Ron Ritchhart and published by John Wiley & Sons. This book was released on 2011-05-03 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.