Concept Mapping In Mathematics

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer Science & Business Media
ISBN 13 : 0387891943
Total Pages : 339 pages
Book Rating : 4.41/5 ( download)

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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.

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer
ISBN 13 : 9780387891934
Total Pages : 220 pages
Book Rating : 4.35/5 ( download)

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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.

Author : Haiyue JIN
Publisher : Routledge
ISBN 13 : 100058562X
Total Pages : 181 pages
Book Rating : 4.29/5 ( download)

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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.

Author : Mary Kane
Publisher : SAGE Publications, Incorporated
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.16/5 ( download)

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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.

Author : Ivan Savov
Publisher :
ISBN 13 : 9780992001025
Total Pages : 596 pages
Book Rating : 4.21/5 ( download)

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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.

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.36/5 ( download)

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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:

Author : Kerri A. Bell
Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.98/5 ( download)

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Download or read book Concept Mapping in the Middle School Mathematics Classroom written by Kerri A. Bell and published by . This book was released on 2017 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the study was to examine the use of concept mapping in the middle school mathematics classroom in conjunction with a procedural task. This mixed-methods study used a concurrent nested design, pulling complementary data from the artifacts to understand what students communicate through concept mapping. The maps and task were qualitatively compared for similar information and were quantitatively analyzed for correlation. The concept maps were evaluated for relational understandings, levels of hierarchy, and overall structure. The instruments used to examine conceptual understanding were concept maps students created from a provided list of concepts and a procedural task that also served as an end of unit summative assessment for their course. The concept maps were scored using a variation of a prominent structural method. The concept maps were first analyzed for valid propositions. Second, the maps were analyzed for structural hierarchies and cross-links. Third, the maps were reviewed for the presence of examples and definitions. The maps were then compared to the procedural tasks and examined for similarities and extensions of communicated mathematical understandings. The results of the study indicate that although the students in this study did not demonstrate an extension of their knowledge through concept mapping beyond the procedural task, the concept maps contained a representation of their gaps in knowledge that could prove helpful for guiding clasroom instruction and reteaching. The study implies that teachers may find concept maps more effective for formative rather than for summative evaluations.

Author : Haiyue JIN
Publisher : Taylor & Francis
ISBN 13 : 1000585611
Total Pages : 223 pages
Book Rating : 4.12/5 ( download)

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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.

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
ISBN 13 : 150633265X
Total Pages : 307 pages
Book Rating : 4.59/5 ( download)

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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

Author : Jordan Lacy Cook
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.79/5 ( download)

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Download or read book Making Connections written by Jordan Lacy Cook and published by . This book was released on 2012 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics requires a vast foundational knowledge in order for students to be successful as they advance through the years. Often times, it is common for teachers to teach these foundational skills over and over to ensure mastery prior to students' advancement. Given this fact, my capstone project was dedicated to increasing students' conceptual knowledge of mathematics through the use of concept mapping in the classroom. This project spanned a total of four math investigations, with two of the investigations taught using concept mapping in addition to the regular curriculum. Data collected to identify the effects of mapping on conceptual understanding, long-term memory, motivation and teacher professionalism included; preunit, postunit, and delayed assessments, interviews, journal entries, surveys, and the concept maps themselves. The results of the study were mixed. Concept mapping had positive impact on conceptual understanding in general. Data also indicate that mapping within the classroom increased student motivation. Finally, the results indicate that concept mapping had a positive impact on my goals as a teacher and my professionalism within the community.