Concept Mapping As An Assessment Tool For Conceptual Understanding In Mathematics


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


Concept Mapping As An Assessment Tool For Conceptual Understanding In Mathematics
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Author : Haiyue JIN
language : en
Publisher: Routledge
Release Date : 2022-05-05

Concept Mapping As An Assessment Tool For Conceptual Understanding In Mathematics written by Haiyue JIN and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Education categories.


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
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Author : Karoline Afamasaga-Fuata'i
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21

Concept Mapping In Mathematics written by Karoline Afamasaga-Fuata'i and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Education categories.


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


Concept Mapping In Mathematics
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Author : Karoline Afamasaga-Fuata'i
language : en
Publisher: Springer
Release Date : 2009-03-05

Concept Mapping In Mathematics written by Karoline Afamasaga-Fuata'i and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-05 with Education categories.


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 Based Mathematics


Concept Based Mathematics
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Author : Jennifer T.H. Wathall
language : en
Publisher: Corwin Press
Release Date : 2016-01-14

Concept Based Mathematics written by Jennifer T.H. Wathall and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-14 with Education categories.


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



Assessment In The Mathematics Classroom


Assessment In The Mathematics Classroom
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2011

Assessment In The Mathematics Classroom written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.


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.



Teaching Science For Understanding


Teaching Science For Understanding
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Author : Joel J. Mintzes
language : en
Publisher: Academic Press
Release Date : 2005-02-21

Teaching Science For Understanding written by Joel J. Mintzes and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-21 with Psychology categories.


Teaching Science for Understanding



Vocabulary Development


Vocabulary Development
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Author : Timothy Rasinski
language : en
Publisher: MDPI
Release Date : 2019-04-18

Vocabulary Development written by Timothy Rasinski and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-18 with Education categories.


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


Assessment In The Mathematics Classroom
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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2011-05-16

Assessment In The Mathematics Classroom written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-16 with Mathematics categories.


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


The Creative Enterprise Of Mathematics Teaching Research
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Author : Bronislaw Czarnocha
language : en
Publisher: Springer
Release Date : 2016-07-28

The Creative Enterprise Of Mathematics Teaching Research written by Bronislaw Czarnocha and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-28 with Education categories.


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 Rich Mathematics Instruction


Concept Rich Mathematics Instruction
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Author : Meir Ben-Hur
language : en
Publisher: ASCD
Release Date : 2006

Concept Rich Mathematics Instruction written by Meir Ben-Hur and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.


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.