Concept Mapping In Mathematics Education

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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 in Mathematics

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer
ISBN 13 : 9780387891934
Total Pages : 220 pages
Book Rating : 4.8/5 (919 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. This book was released on 2009-03-05 with total page 220 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 in Mathematics Education

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Concept Mapping in Mathematics Education by :

Download or read book Concept Mapping in Mathematics Education written by and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

Author : Haiyue JIN
Publisher : Routledge
ISBN 13 : 100058562X
Total Pages : 181 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 Routledge. This book was released on 2022-05-05 with total page 181 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.

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.

Concept Maps for Science and Mathematics Education

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (939 download)

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Book Synopsis Concept Maps for Science and Mathematics Education by :

Download or read book Concept Maps for Science and Mathematics Education written by and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Teachers and learners benefit from seeing and discovering how scientific concepts relate to each other. Pick a topic from the list or search using your own terms. Maps of interrelated science or math concepts will be suggested and from each map you can find grade-appropriate classroom resources to help teach the desired concept and see the associated education standard. The concept maps are derived from the American Association for the Advancement of Science (AAAS) Benchmarks for Science Literacy (AAAS Project 2061) and are aligned with the National Science Education Standards (NSES).

Opening the Research Text

Author : Elizabeth de Freitas
Publisher : Springer Science & Business Media
ISBN 13 : 0387754644
Total Pages : 257 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Opening the Research Text by : Elizabeth de Freitas

Download or read book Opening the Research Text written by Elizabeth de Freitas and published by Springer Science & Business Media. This book was released on 2007-12-19 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. It offers unique approaches to interpreting research within the mathematics education field and takes its place in a growing set of resources. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.

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.

Concept Mapping, an Educational Tool, and Its Use in a College Level Mathematics Skills Course

Author : Leah Mitchell Minemier
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Concept Mapping, an Educational Tool, and Its Use in a College Level Mathematics Skills Course by : Leah Mitchell Minemier

Download or read book Concept Mapping, an Educational Tool, and Its Use in a College Level Mathematics Skills Course written by Leah Mitchell Minemier and published by . This book was released on 1983 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Using Concept Maps in a Professional Development Program to Assess and Enhance Teachers' Understanding of Rational Number

Author : Jodean Emilyn Mathison Grunow
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Using Concept Maps in a Professional Development Program to Assess and Enhance Teachers' Understanding of Rational Number by : Jodean Emilyn Mathison Grunow

Download or read book Using Concept Maps in a Professional Development Program to Assess and Enhance Teachers' Understanding of Rational Number written by Jodean Emilyn Mathison Grunow and published by . This book was released on 1998 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theorizing STEM Education in the 21st Century

Author : Kehdinga George Fomunyam
Publisher : BoD – Books on Demand
ISBN 13 : 1789857015
Total Pages : 238 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Theorizing STEM Education in the 21st Century by : Kehdinga George Fomunyam

Download or read book Theorizing STEM Education in the 21st Century written by Kehdinga George Fomunyam and published by BoD – Books on Demand. This book was released on 2020-02-26 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theorising STEM Education in the 21st Century is a book that captures the essence of Science, Technology, Engineering and Mathematics and the intricacies of STEM education in the contemporary society. It explores STEM as an interdisciplinary field as well as the individual disciplines that make up STEM. This ensures the field of STEM as a whole is theorised. The book provides critical insight on STEM education from Cairo to Cape Town or from America to Indonesia. With a team of authors from universities across the world, the book is a vital contribution to critical scholarship on STEM education in contemporary times.

A Network Analysis of Concept Maps of Triangle Concepts

Author : Jin Haiyue
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis A Network Analysis of Concept Maps of Triangle Concepts by : Jin Haiyue

Download or read book A Network Analysis of Concept Maps of Triangle Concepts written by Jin Haiyue and published by . This book was released on 2010 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics educators and mathematics standards of curriculum have emphasised the importance of constructing the interconnectedness among mathematic concepts ("conceptual understanding") instead of only the ability to carry out standard procedures in an isolated fashion. Researchers have attempted to assess the knowledge networks in students' minds. A technique that has gained popular use in science education over the past three decades is concept mapping. This paper examines students' conceptual understanding about triangle concepts using concept maps, and an analysis of the maps using degree centralities derived from social network analysis has demonstrated new insights through this novel technique. (Contains 1 figure and 3 tables.) [For the complete proceedings, "Shaping the Future of Mathematics Education. Proceedings of the Annual Conference of the Mathematics Education Research Group of Australasia (33rd, Freemantle, Western Australia, Australia, July 3-7, 2010)," see ED520764.].

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.

Concept Mapping and Education

Author : Amm Sharif Ullah
Publisher :
ISBN 13 : 9783039433926
Total Pages : 88 pages
Book Rating : 4.4/5 (339 download)

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Book Synopsis Concept Mapping and Education by : Amm Sharif Ullah

Download or read book Concept Mapping and Education written by Amm Sharif Ullah and published by . This book was released on 2020-10-13 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The assimilation theory of verbal learning leads to meaningful learning wherein the learning outcomes take the form of concept maps-networks of some selected linguistic expressions and concepts. Concept-map-based education helps avoid rote learning, prepare content for effective on-ground and e-learning, and measure learning outcomes at the course, program, and institutional levels. As a result, it has been used at school, college, university, and professional levels. This book consists of five selected articles, providing insights into concept-map-based education, and will benefit students, teachers, and education managers.

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.