Concept Mapping As An Assessment Tool For Conceptual Understanding In Mathematics

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Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics

Haiyue JIN
Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics Book PDF

Author : Haiyue JIN
Publisher : Routledge
Page : 181 pages
File Size : 51,9 Mb
Release : 2022-05-05
Category : Education
ISBN : 9781000585629

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Concept Mapping as an Assessment Tool for Conceptual Understanding in Mathematics by Haiyue JIN Pdf

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

Karoline Afamasaga-Fuata'i
Concept Mapping in Mathematics Book PDF

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer Science & Business Media
Page : 339 pages
File Size : 45,6 Mb
Release : 2009-04-21
Category : Education
ISBN : 9780387891941

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Concept Mapping in Mathematics by Karoline Afamasaga-Fuata'i Pdf

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

Karoline Afamasaga-Fuata'i
Concept Mapping in Mathematics Book PDF

Author : Karoline Afamasaga-Fuata'i
Publisher : Springer
Page : 220 pages
File Size : 55,7 Mb
Release : 2009-03-05
Category : Education
ISBN : 0387891935

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Concept Mapping in Mathematics by Karoline Afamasaga-Fuata'i Pdf

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.

Teaching Science for Understanding

Joel J. Mintzes,James H. Wandersee,Joseph D. Novak
Teaching Science for Understanding Book PDF

Author : Joel J. Mintzes,James H. Wandersee,Joseph D. Novak
Publisher : Academic Press
Page : 384 pages
File Size : 45,7 Mb
Release : 2005-02-21
Category : Psychology
ISBN : 9780080879246

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Teaching Science for Understanding by Joel J. Mintzes,James H. Wandersee,Joseph D. Novak Pdf

Teaching Science for Understanding

Vocabulary Development

Timothy Rasinski,William Rupley
Vocabulary Development Book PDF

Author : Timothy Rasinski,William Rupley
Publisher : MDPI
Page : 160 pages
File Size : 46,7 Mb
Release : 2019-04-18
Category : Education
ISBN : 9783038977346

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Vocabulary Development by Timothy Rasinski,William Rupley Pdf

Knowledge of word meanings is critical to success in reading. A reader cannot fully understand a text in which the meaning to a significant number of words is unknown. Vocabulary knowledge has long been correlated with proficiency in reading. Yet, national surveys of student vocabulary knowledge have demonstrated that student growth in vocabulary has been stagnant at best. This volume offers new insights into vocabulary knowledge and vocabulary teaching. Articles range from a presentation of theories of vocabulary that guide instruction to innovative methods and approaches for teaching vocabulary. Special emphasis is placed on teaching academic and disciplinary vocabulary that is critical to success in content area learning. Our hope for this volume is that it may spark a renewed interest in research into vocabulary and vocabulary instruction and move toward making vocabulary instruction an even more integral part of all literacy and disciplinary instruction.

Assessment in the Mathematics Classroom

Berinderjeet Kaur,Khoon Yoong Wong
Assessment in the Mathematics Classroom Book PDF

Author : Berinderjeet Kaur,Khoon Yoong Wong
Publisher : World Scientific
Page : 304 pages
File Size : 47,9 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814360975

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Assessment in the Mathematics Classroom by Berinderjeet Kaur,Khoon Yoong Wong Pdf

The third in the series of yearbooks by the Association of Mathematics Educators in Singapore, Assessment in the Mathematics Classroom is unique as it addresses a focused theme on mathematics education. The objective is to encourage teachers and researchers to include assessment of non-cognitive attributes and to use techniques in addition to paper-and-pencil tests that focus on typical problems.Several renowned international researchers in the field have published their work in the book. The thirteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment in their lessons to bring about meaningful learning outcomes. A recurring theme in most chapters is the widely circulated notions of formative assessment and assessment for learning. The book makes a significant contribution towards assessment in mathematics. It is a good resource for research students and a must-read mathematics educators.

Assessment in the Mathematics Classroom

Berinderjeet Kaur,Khoon Yoong Wong
Assessment in the Mathematics Classroom Book PDF

Author : Berinderjeet Kaur,Khoon Yoong Wong
Publisher : World Scientific
Page : 304 pages
File Size : 41,6 Mb
Release : 2011-05-16
Category : Mathematics
ISBN : 9789814458351

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Assessment in the Mathematics Classroom by Berinderjeet Kaur,Khoon Yoong Wong Pdf

The third in the series of yearbooks by the Association of Mathematics Educators in Singapore, Assessment in the Mathematics Classroom is unique as it addresses a focused theme on mathematics education. The objective is to encourage teachers and researchers to include assessment of non-cognitive attributes and to use techniques in addition to paper-and-pencil tests that focus on typical problems. Several renowned international researchers in the field have published their work in the book. The thirteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment in their lessons to bring about meaningful learning outcomes. A recurring theme in most chapters is the widely circulated notions of formative assessment and assessment for learning. The book makes a significant contribution towards assessment in mathematics. It is a good resource for research students and a must-read mathematics educators. Contents:Introduction: Assessment Matters (Khoom Yoong Wong & Berinderjeet Kaur)Using a Multi-Dimensional Approach to Understanding to Assess Students' Mathematical Knowledge (Denisse R Thompson & Berinderjeet Kaur)Assessing Problem Solving in the Mathematics Curriculum: A New Approach (Tin Lam Toh, Khiok Seng Quek, Yew Hoong Leong, Jaguthsing Dindyal & Eng Guan Tay)Assessing Conceptual Understanding in Mathematics with Concept Mapping (Haiyue Jin & Khoon Yoong Wong)Using Journal Writing to Empower Learning (Berinderjeet Kaur & Chun Ming Eric Chan)Implementing Alternative Assessment in the Lower Primary Mathematics Classroom (Kai Kow Joseph Yeo)Open-Ended Tasks and Assessment: The Nettle or the Rose (David J Clarke)Using ICT to Improve Assessment (Marja van den Heuvel-Panhuizen, Angeliki Kolovou & Marjolijn Peltenburg)The Assessment for, of and as Learning in Mathematics: The Application of SLOA (Mo Ching Magdalena Mok)Building Bridges Between Large-Scale External Assessment and Mathematics Classrooms: A Japanese Perspective (Yoshinori Shimizu)Errors in Mathematics Assessment Items Written by Pre-Service Teachers (Jaguthsing Dindyal)Affective Assessment in the Mathematics Classroom: A Quick Start (Eng Guan Tay, Khiok Seng Quek & Tin Lam Toh)Implementing Self-Assessment to Develop Reflective Teaching and Learning in Mathematics (Lianghuo Fan) Readership: Mathematics educators, research students and mathematics teachers. Keywords:Mathematics;Assessment of Learning;Assessment as Learning;Assessment for Learning;Cognitive Domain;Affective Domain;Alternative Assessment

The Creative Enterprise of Mathematics Teaching Research

Bronislaw Czarnocha,William Baker,Olen Dias,Vrunda Prabhu
The Creative Enterprise of Mathematics Teaching Research Book PDF

Author : Bronislaw Czarnocha,William Baker,Olen Dias,Vrunda Prabhu
Publisher : Springer
Page : 536 pages
File Size : 43,7 Mb
Release : 2016-07-28
Category : Education
ISBN : 9789463005494

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The Creative Enterprise of Mathematics Teaching Research by Bronislaw Czarnocha,William Baker,Olen Dias,Vrunda Prabhu Pdf

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-Based Mathematics

Jennifer T.H. Wathall
Concept Based Mathematics Book PDF

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
Page : 307 pages
File Size : 47,7 Mb
Release : 2016-01-14
Category : Education
ISBN : 9781506332659

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Concept-Based Mathematics by Jennifer T.H. Wathall Pdf

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

Tools for Teaching Conceptual Understanding, Secondary

Julie Stern,Krista Ferraro,Juliet Mohnkern
Tools for Teaching Conceptual Understanding Secondary Book PDF

Author : Julie Stern,Krista Ferraro,Juliet Mohnkern
Publisher : Corwin Press
Page : 142 pages
File Size : 52,6 Mb
Release : 2017-02-02
Category : Education
ISBN : 9781506355726

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Tools for Teaching Conceptual Understanding, Secondary by Julie Stern,Krista Ferraro,Juliet Mohnkern Pdf

Students become experts and innovators through Concept-Based teaching Innovators don’t invent without a deep understanding of how the world works. With this foundation, they apply conceptual understanding to solve new problems. We want our students to not only retain ideas, but relate them to other things they encounter, using each new situation to add nuance and sophistication to their thinking. To do this, they need conceptual understanding. This book serves as a road map for Concept-Based teaching. Discover how to help students uncover conceptual relationships and transfer them to new situations. Specifically, teachers will learn: Strategies for introducing conceptual learning to students Four lesson frameworks to help students uncover conceptual relationships How to assess conceptual understanding, and How to differentiate concept-based instruction Look no further. For deep learning and innovative thinking, this book is the place to start. "The authors tear down the false dichotomies of traditional vs innovative education and provide a practical toolkit for developing creativity and applying knowledge through Concept-Based learning. Every practitioner needs this book to juxtapose what worked well in the 20th Century with what is essential in the 21st Century and beyond." Michael McDowell, Superintendent Ross School District, Ross, CA "While most good educators recognise the incredible value of teaching conceptually, it is challenging. The authors have created accessible, practical baby steps for every teacher to use." Dr. Vincent Chan, principal Fairview International School, Kuala Lumpur, Malaysia

Beyond Constructivism

Richard A. Lesh,Helen M. Doerr
Beyond Constructivism Book PDF

Author : Richard A. Lesh,Helen M. Doerr
Publisher : Psychology Press
Page : 614 pages
File Size : 49,8 Mb
Release : 2003
Category : Education
ISBN : 0805838228

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Beyond Constructivism by Richard A. Lesh,Helen M. Doerr Pdf

First Published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.

Concept-rich Mathematics Instruction

Meir Ben-Hur
Concept rich Mathematics Instruction Book PDF

Author : Meir Ben-Hur
Publisher : ASCD
Page : 162 pages
File Size : 54,8 Mb
Release : 2006
Category : Education
ISBN : 9781416603597

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Concept-rich Mathematics Instruction by Meir Ben-Hur Pdf

Presents an instructional approach that helps students in every grade level understand math concepts so they can apply them on assessments, across the curriculum, and outside of school. Provides teaching practices and lesson ideas that give students a stronger foundation for reasoning and problem solving.

Innovating with Concept Mapping

Alberto Cañas,Priit Reiska,Joseph Novak
Innovating with Concept Mapping Book PDF

Author : Alberto Cañas,Priit Reiska,Joseph Novak
Publisher : Springer
Page : 331 pages
File Size : 50,6 Mb
Release : 2016-08-20
Category : Education
ISBN : 9783319455013

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Innovating with Concept Mapping by Alberto Cañas,Priit Reiska,Joseph Novak Pdf

This book constitutes the refereed proceedings of the 7th International Conference on Concept Mapping, CMC 2016, held in Tallinn, Estonia, in September 2016. The 25 revised full papers presented were carefully reviewed and selected from 135 submissions. The papers address issues such as facilitation of learning; eliciting, capturing, archiving, and using “expert” knowledge; planning instruction; assessment of “deep” understandings; research planning; collaborative knowledge modeling; creation of “knowledge portfolios”; curriculum design; eLearning, and administrative and strategic planning and monitoring.

Learning, Design, and Technology

J. Michael Spector,Barbara B. Lockee,Marcus D. Childress
Learning Design and Technology Book PDF

Author : J. Michael Spector,Barbara B. Lockee,Marcus D. Childress
Publisher : Springer Nature
Page : 4144 pages
File Size : 45,8 Mb
Release : 2023-11-15
Category : Education
ISBN : 9783319174617

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Learning, Design, and Technology by J. Michael Spector,Barbara B. Lockee,Marcus D. Childress Pdf

The multiple, related fields encompassed by this Major Reference Work represent a convergence of issues and topics germane to the rapidly changing segments of knowledge and practice in educational communications and technology at all levels and around the globe. There is no other comparable work that is designed not only to gather vital, current, and evolving information and understandings in these knowledge segments but also to be updated on a continuing basis in order to keep pace with the rapid changes taking place in the relevant fields. The Handbook is composed of substantive (5,000 to 15,000 words), peer-reviewed entries that examine and explicate seminal facets of learning theory, research, and practice. It provides a broad range of relevant topics, including significant developments as well as innovative uses of technology that promote learning, performance, and instruction. This work is aimed at researchers, designers, developers, instructors, and other professional practitioners.

Digital Knowledge Maps in Education

Dirk Ifenthaler,Ria Hanewald
Digital Knowledge Maps in Education Book PDF

Author : Dirk Ifenthaler,Ria Hanewald
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 46,8 Mb
Release : 2013-11-01
Category : Education
ISBN : 9781461431787

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Digital Knowledge Maps in Education by Dirk Ifenthaler,Ria Hanewald Pdf

Digital knowledge maps are ‘at a glance’ visual representations that enable enriching, imaginative and transformative ways for teaching and learning, with the potential to enhance positive educational outcomes. The use of such maps has generated much attention and interest among tertiary education practitioners and researchers over the last few years as higher education institutions around the world begin to invest heavily into new technologies designed to provide online spaces within which to build resources and conduct activities. The key elements of this edited volume will comprise original and innovative contributions to existing scholarship in this field, with examples of pedagogical possibilities as they are currently practiced across a range of contexts. It will contain chapters that address, theory, research and practical issues related to the use of digital knowledge maps in all aspects of tertiary education and draws predominantly on international perspectives with a diverse group of invited contributors. Reports on empirical studies as well as theoretical/conceptual chapters that engage deeply with pertinent questions and issues raised from a pedagogical, social, cultural, philosophical, and/or ethical standpoint are included. Systematic literature reviews dealing with digital knowledge mapping in education are also an integral part of the volume.