The Van Hiele Model Of Reasoning In Geometry

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The Van Hiele Model of Reasoning in Geometry

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (656 download)

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Book Synopsis The Van Hiele Model of Reasoning in Geometry by :

Download or read book The Van Hiele Model of Reasoning in Geometry written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this paper has been to examine the van Hiele model of learning used to describe how students reason in geometry, the research that many others have conducted with regards to it, other related theories of learning, and the implications of van Hiele's theory for curricula, teacher education, and classroom practice. Initially, the levels of the van Hiele model are described in detail for the reader. The research on the van Hiele model is highlighted with respect to four different areas: 1) appropriate ways to assess students' levels of geometric reasoning and the results of those assessments, 2) assessment of preservice and inservice teachers' levels of reasoning, 3) instructional interventions used with students based on the van Hiele model, 4) interventions with both preservice and inservice teachers to promote awareness of the theory and improved knowledge of geometry content. A brief description of the developmental theory of Piaget and the SOLO Taxonomy of Biggs and Collis is given as a means of comparison to the van Hiele model. A synthesis of the advantages and disadvantages of each of the three theories is outlined. Finally, implications of the research on the van Hiele model are given with respect to curriculum, teacher education and teaching of geometry in addition to my own personal recommendations supported by this research and NCTM's standards.

The Van Hiele Model of Reasoning in Geometry

Author : Eleanor Louise Pusey
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.:/5 (52 download)

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Book Synopsis The Van Hiele Model of Reasoning in Geometry by : Eleanor Louise Pusey

Download or read book The Van Hiele Model of Reasoning in Geometry written by Eleanor Louise Pusey and published by . This book was released on 2003 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keywords: learning, geometry, van Hiele model, teaching, mathematics.

Structure and Insight

Author : Pierre M. van Hiele
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Structure and Insight by : Pierre M. van Hiele

Download or read book Structure and Insight written by Pierre M. van Hiele and published by . This book was released on 1986 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Van Hiele Model of Thinking in Geometry Among Adolescents

Author : David J. Fuys
Publisher :
ISBN 13 :
Total Pages : 218 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Van Hiele Model of Thinking in Geometry Among Adolescents by : David J. Fuys

Download or read book The Van Hiele Model of Thinking in Geometry Among Adolescents written by David J. Fuys and published by . This book was released on 1988 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Special Issues in Early Childhood Mathematics Education Research

Author :
Publisher : BRILL
ISBN 13 : 9004510680
Total Pages : 323 pages
Book Rating : 4.0/5 (45 download)

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Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :

Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.

Designing Learning Environments for Developing Understanding of Geometry and Space

Author : Richard Lehrer
Publisher : Routledge
ISBN 13 : 0805819487
Total Pages : 520 pages
Book Rating : 4.8/5 (58 download)

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Book Synopsis Designing Learning Environments for Developing Understanding of Geometry and Space by : Richard Lehrer

Download or read book Designing Learning Environments for Developing Understanding of Geometry and Space written by Richard Lehrer and published by Routledge. This book was released on 1998 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies. Rather than looking to high school geometry as the locus--and all too often, the apex--of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream--indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding--will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks. This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers, and graduate students.

Is The Van Hiele Model Useful in Determining How Children Learn Geometry?

Author : Sam Curran
Publisher : GRIN Verlag
ISBN 13 : 3656976902
Total Pages : 104 pages
Book Rating : 4.6/5 (569 download)

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Book Synopsis Is The Van Hiele Model Useful in Determining How Children Learn Geometry? by : Sam Curran

Download or read book Is The Van Hiele Model Useful in Determining How Children Learn Geometry? written by Sam Curran and published by GRIN Verlag. This book was released on 2015-06-11 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientific Study from the year 2014 in the subject Pedagogy - School Pedagogics, grade: 82, , course: Mathematics Teaching, language: English, abstract: The aim of this study is to investigate how children learn Geometry (at all levels of compulsory education) in Mathematics. This study was chosen because of my difficulties in the area and the possible under-representation of Geometry in the Mathematics Curriculum. Five tasks were given to two students for each Key Stage 1-5 inclusive. These were then analysed using the “Van Hiele model of Geometric” reasoning; which was used to make an assessment of children’s geometrical ability. The study also draws on theoretical frameworks from eminent researchers like Vygotsky, Piaget and Bruner as well as engaging fully with current educational literature and research. A questionnaire on Geometry was also completed by a variety of primary, secondary and A-level mathematics teachers. It was found that geometrical ability increases with age (although young children can display sophisticated knowledge of shape) and that students mainly drew shapes of a non-prototypical orientation. This has increased my subject knowledge and enhanced my classroom practice and also may have the implication of changing other practitioners’ teaching strategies.

Dynamic Geometry and Its Effects on Geometric Reasoning in Terms of Van Hiele Levels

Author : Jesse E. Hiett
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (191 download)

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Book Synopsis Dynamic Geometry and Its Effects on Geometric Reasoning in Terms of Van Hiele Levels by : Jesse E. Hiett

Download or read book Dynamic Geometry and Its Effects on Geometric Reasoning in Terms of Van Hiele Levels written by Jesse E. Hiett and published by . This book was released on 2007 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching and Learning of mathematics

Author : Noraini Idris
Publisher : Utusan Publications
ISBN 13 : 9789676117878
Total Pages : 234 pages
Book Rating : 4.1/5 (178 download)

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Book Synopsis Teaching and Learning of mathematics by : Noraini Idris

Download or read book Teaching and Learning of mathematics written by Noraini Idris and published by Utusan Publications. This book was released on 2005 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Proceedings of the 12th International Congress on Mathematical Education

Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319126881
Total Pages : 617 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Proceedings of the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book The Proceedings of the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-02-10 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 3500 experts from 92 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. This work aims to serve as a platform for deeper, more sensitive and more collaborative involvement of all major contributors towards educational improvement and in research on the nature of teaching and learning in mathematics education. It introduces the major activities of ICME-12 which have successfully contributed to the sustainable development of mathematics education across the world. The program provides food for thought and inspiration for practice for everyone with an interest in mathematics education and makes an essential reference for teacher educators, curriculum developers and researchers in mathematics education. The work includes the texts of the four plenary lectures and three plenary panels and reports of three survey groups, five National presentations, the abstracts of fifty one Regular lectures, reports of thirty seven Topic Study Groups and seventeen Discussion Groups.

Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries

Author : Ewa Swoboda
Publisher : Springer
ISBN 13 : 3319442724
Total Pages : 57 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries by : Ewa Swoboda

Download or read book Early Geometrical Thinking in the Environment of Patterns, Mosaics and Isometries written by Ewa Swoboda and published by Springer. This book was released on 2016-09-09 with total page 57 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the learning and teaching of geometry, with a special focus on kindergarten and primary education. It examines important new trends and developments in research and practice, and emphasizes theoretical, empirical and developmental issues. Further, it discusses various topics, including curriculum studies and implementation, spatial abilities and geometric reasoning, as well as the psychological roots of geometrical thinking and teacher preparation in geometry education. It considers these issues from historical, epistemological, cognitive semiotic and educational points of view in the context of students' difficulties and the design of teaching and curricula.

Researching and Using Progressions (Trajectories) in Mathematics Education

Author :
Publisher : BRILL
ISBN 13 : 9004396446
Total Pages : 255 pages
Book Rating : 4.0/5 (43 download)

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Book Synopsis Researching and Using Progressions (Trajectories) in Mathematics Education by :

Download or read book Researching and Using Progressions (Trajectories) in Mathematics Education written by and published by BRILL. This book was released on 2019-02-04 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The relationship between research and practice has long been an area of interest for researchers, policy makers, and practitioners alike. One obvious arena where mathematics education research can contribute to practice is the design and implementation of school mathematics curricula. This observation holds whether we are talking about curriculum as a set of broad, measurable competencies (i.e., standards) or as a comprehensive set of resources for teaching and learning mathematics. Impacting practice in this way requires fine-grained research that is focused on individual student learning trajectories and intimate analyses of classroom pedagogical practices as well as large-scale research that explores how student populations typically engage with the big ideas of mathematics over time. Both types of research provide an empirical basis for identifying what aspects of mathematics are important and how they develop over time. This book has its origins in independent but parallel work in Australia and the United States over the last 10 to 15 years. It was prompted by a research seminar at the 2017 PME Conference in Singapore that brought the contributors to this volume together to consider the development and use of evidence-based learning progressions/trajectories in mathematics education, their basis in theory, their focus and scale, and the methods used to identify and validate them. In this volume they elaborate on their work to consider what is meant by learning progressions/trajectories and explore a range of issues associated with their development, implementation, evaluation, and on-going review. Implications for curriculum design and future research in this field are also considered. Contributors are: Michael Askew, Tasos Barkatsas, Michael Belcher, Rosemary Callingham, Doug Clements, Jere Confrey, Lorraine Day, Margaret Hennessey, Marj Horne, Alan Maloney, William McGowan, Greg Oates, Claudia Orellana, Julie Sarama, Rebecca Seah, Meetal Shah, Dianne Siemon, Max Stephens, Ron Tzur, and Jane Watson.

Teaching Mathematics in Grades 6 - 12

Author : Randall E. Groth
Publisher : SAGE Publications
ISBN 13 : 1452256020
Total Pages : 513 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Teaching Mathematics in Grades 6 - 12 by : Randall E. Groth

Download or read book Teaching Mathematics in Grades 6 - 12 written by Randall E. Groth and published by SAGE Publications. This book was released on 2012-08-10 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.

Perspectives on the Teaching of Geometry for the 21st Century

Author : C. Mammana
Publisher : Springer Science & Business Media
ISBN 13 : 9401152268
Total Pages : 353 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Perspectives on the Teaching of Geometry for the 21st Century by : C. Mammana

Download or read book Perspectives on the Teaching of Geometry for the 21st Century written by C. Mammana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

Learning and Teaching Geometry, K-12

Author : Mary Montgomery Lindquist
Publisher :
ISBN 13 :
Total Pages : 266 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Learning and Teaching Geometry, K-12 by : Mary Montgomery Lindquist

Download or read book Learning and Teaching Geometry, K-12 written by Mary Montgomery Lindquist and published by . This book was released on 1987 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics as an Educational Task

Author : Hans Freudenthal
Publisher : Springer Science & Business Media
ISBN 13 : 9401029032
Total Pages : 691 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Mathematics as an Educational Task by : Hans Freudenthal

Download or read book Mathematics as an Educational Task written by Hans Freudenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book.

Proceedings of the 13th International Congress on Mathematical Education

Author : Gabriele Kaiser
Publisher : Springer
ISBN 13 : 3319625977
Total Pages : 735 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Proceedings of the 13th International Congress on Mathematical Education by : Gabriele Kaiser

Download or read book Proceedings of the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2017-10-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.