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Concept Mapping in Mathematics

Concept Mapping in Mathematics
Author: Karoline Afamasaga-Fuata'i
Publisher: Springer Science & Business Media
Total Pages: 339
Release: 2009-04-21
Genre: Education
ISBN: 0387891943

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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 as an Assessment Tool for Conceptual Understanding in Mathematics

Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics
Author: Haiyue JIN
Publisher: Taylor & Francis
Total Pages: 223
Release: 2022-05-05
Genre: Education
ISBN: 1000585611

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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 Mathematics

Concept Mapping in Mathematics
Author: Karoline Afamasaga-Fuata'i
Publisher: Springer
Total Pages: 220
Release: 2009-03-05
Genre: Education
ISBN: 9780387891934

Download Concept Mapping in Mathematics Book in PDF, ePub and Kindle

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.


Learning, Creating, and Using Knowledge

Learning, Creating, and Using Knowledge
Author: Joseph D. Novak
Publisher: Routledge
Total Pages: 334
Release: 2010-02-02
Genre: Business & Economics
ISBN: 113518447X

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Fully revised and updated, this second edition updates Novak’s 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. It is essential reading for educators at all levels and corporate managers who seek to enhance worker productivity.


Applied Concept Mapping

Applied Concept Mapping
Author: Brian Moon
Publisher: CRC Press
Total Pages: 0
Release: 2011-02-07
Genre: Business & Economics
ISBN: 9781439828601

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The expanding application of Concept Mapping includes its role in knowledge elicitation, institutional memory preservation, and ideation. With the advent of the CmapTools knowledge modeling software kit, Concept Mapping is being applied with increased frequency and success to address a variety of problems in the workplace. Supported by business application case studies, Applied Concept Mapping: Capturing, Analyzing, and Organizing Knowledge offers an accessible introduction to the theory, methods, and application of Concept Mapping in business and government. The case studies illustrate applications across a range of industries—including engineering, product development, defense, and healthcare. The authors provide access to a free download of CmapTools, courtesy of the Institute for Human and Machine Cognition, to enable readers to create and share their own Concept Maps. Offering examples from the United States, Canada, Australia, Spain, Brazil, Scotland, and The Netherlands, they highlight a global perspective of this dynamic tool. The text is organized into three sections: Practitioners’ Views—supplies narratives, guidance, and reviews of applications from career Concept Mappers Recent Case Studies and Results—presents in-depth examinations of specific applications and their results Pushing the Boundaries—explores what’s possible and where the boundary conditions lie Applied Concept Mapping facilitates the fundamental understanding needed to harness the power of Concept Mapping to develop viable solutions to a virtually unlimited number of real-world problems.


Concept Mapping and Student Success in a College-level Environmental Studies Course

Concept Mapping and Student Success in a College-level Environmental Studies Course
Author: Jennifer Moore Bernstein
Publisher:
Total Pages: 154
Release: 2011
Genre: College students
ISBN:

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Concept mapping is an educational tool that is used to facilitate and demonstrate student comprehension through the use of a visual medium. Because it provides a non-linear, multidimensional way of exploring a topic it is especially appropriate for use in environmental studies courses, where individuals, institutions, and ecosystems interrelate in complex ways. This project looked at the effect of using concept mapping as a reflective and constructive exercise in an environmental analysis course at Lewis and Clark College in Portland, Oregon. A sub-question was whether or not characteristics of certain students, such as "learning style" and background proficiency with the subject matter would affect the degree to which concept mapping proved helpful. Students created bi-weekly concept maps to review lessons, reflect on their growth throughout the course, and present the findings of their final group research projects. A sub-group of students completed a questionnaire after each concept mapping exercise, which asked them the degree to which the exercise helped facilitate the educational goals of the course. Overall, concept mapping proved helpful and moderately challenging to the students. In general, demographics, learning style, and other variables did not predict success with concept mapping or success with the course. One notable exception was that the students who felt more challenged by the concept mapping exercises ultimately did better in the course overall. This indicates that for engaged students, concept mapping has the potential to keep them at the optimal level of intellectual discomfort that ultimately fosters deep learning.


Concept Mapping and Education

Concept Mapping and Education
Author: Amm Sharif Ullah
Publisher:
Total Pages: 88
Release: 2020-10-13
Genre:
ISBN: 9783039433926

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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.


Concept Mapping for Planning and Evaluation

Concept Mapping for Planning and Evaluation
Author: Mary Kane
Publisher: SAGE Publications, Incorporated
Total Pages: 224
Release: 2007
Genre: Computers
ISBN:

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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.