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Concept Mapping in Mathematics

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Release : 2009-04-21
Genre : Education
Kind : eBook
Book Rating : 943/5 ( reviews)

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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. This book was released on 2009-04-21. 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

Download Concept Mapping in Mathematics PDF Online Free

Author :
Release : 2009-03-05
Genre : Education
Kind : eBook
Book Rating : 934/5 ( reviews)

GET EBOOK


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. This book was released on 2009-03-05. 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 as an Assessment Tool for Conceptual Understanding in Mathematics

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Author :
Release : 2022-05-05
Genre : Education
Kind : eBook
Book Rating : 62X/5 ( reviews)

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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. This book was released on 2022-05-05. 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

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Author :
Release : 2007
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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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. This book was released on 2007. 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

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Author :
Release : 2020-10-25
Genre : MATHEMATICS
Kind : eBook
Book Rating : 025/5 ( reviews)

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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. This book was released on 2020-10-25. 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.

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