Concept Mapping in Mathematics

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Author :
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

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Author :
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 as an Assessment Tool for Conceptual Understanding in Mathematics

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Author :
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

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Author :
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 Mapping in Mathematics Education

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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:

No Bullshit Guide to Linear Algebra

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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 Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

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Author :
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.

Concept-Based Mathematics

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Author :
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 in the Middle School Mathematics Classroom

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Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.:/5 (1 download)

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Book Synopsis Concept Mapping in the Middle School Mathematics Classroom by : Kerri A. Bell

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.

Making Connections

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Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.:/5 (819 download)

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Book Synopsis Making Connections by : Jordan Lacy Cook

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.

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

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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 Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course

Download Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course PDF Online Free

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course by : Peter Francis Cardamone

Download or read book Concept Mapping, a Technique of Analyzing a Discipline, and Its Use in the Curriculum and Instruction in a Portion of a College Level Mathematics Skills Course written by Peter Francis Cardamone and published by . This book was released on 1975 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Examining and Promoting Mathematical Connections with Concept Mapping

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Publisher :
ISBN 13 :
Total Pages : 634 pages
Book Rating : 4.:/5 (349 download)

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Book Synopsis Examining and Promoting Mathematical Connections with Concept Mapping by : Bobbye J. Bartels

Download or read book Examining and Promoting Mathematical Connections with Concept Mapping written by Bobbye J. Bartels and published by . This book was released on 1995 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploratory study examined the way students make mathematical connections and the efficacy of using concept mapping as a tool for promoting connections explicitly during instruction. Nineteen students in an elementary mathematics methods course constructed group concept maps for five topics covered in the course. In this study, concept maps were used as a research tool and as an instructional tool. Interpretive analysis of the concept maps constructed by cooperative groups ($n=5$) and the protocols of student discussion showed that four themes affected the connections students made: compatibility with prior knowledge, explicitness and frequency of the connection, consistency in terminology and presentation, and recency of the connection. These themes were found interwoven through the students' prior knowledge, the course textbook, class discussion, and concept mapping. Complexity in mathematics terminology interfered with students' connection-making, especially when coupled with their prior knowledge about a concept. Additionally, when students observed physical models of geometric solids they made better connections, as long as the models were discussed adequately. Written explanations of mathematics concepts in the form of writing assignments and unit lesson plans were assigned to measure the number and kind of connections the preservice teachers might use during instruction. The number of connections on group concept maps correlated positively with the number of concept-to-concept connections in the writing assignments and unit lesson plans. Students used more concept-to-concept connections than any other kind, but they used more concept-to-manipulative and concept-to-real world connections with lower grade-level topics than with higher grade-level topics. An additional effect of concept mapping was observed as students' understanding of what it means to make connections grew during the semester to include a greater variety of connections. The study contributed to the growing literature about how students make connections when constructing mathematical knowledge. Additionally, it concludes that concept mapping has value as an instructional tool for promoting explicit mathematical connections and for improving preservice elementary teachers' understanding of mathematical connections.

Teaching Science for Understanding

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Publisher : Academic Press
ISBN 13 : 0080879241
Total Pages : 384 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 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Science for Understanding

The Creative Enterprise of Mathematics Teaching Research

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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.

Concept Mapping and Education

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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.

Mathematical Connections by Inservice Teachers Using Concept Mapping

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Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (268 download)

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Book Synopsis Mathematical Connections by Inservice Teachers Using Concept Mapping by : Bobbye Hoffman Bartels

Download or read book Mathematical Connections by Inservice Teachers Using Concept Mapping written by Bobbye Hoffman Bartels and published by . This book was released on 1991 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: