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Author : J. Lovett
Publisher :
ISBN 13 :
Total Pages : 25 pages
Book Rating : 4.:/5 (222 download)
Download or read book An Interpretive Description of the Van Hiele Model of Thinking in Geometry written by J. Lovett and published by . This book was released on 1983 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Author : Sasha Wang
Publisher : Springer
ISBN 13 : 3658128054
Total Pages : 248 pages
Book Rating : 4.6/5 (581 download)
Download or read book Discourse Perspective of Geometric Thoughts written by Sasha Wang and published by Springer. This book was released on 2016-03-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sasha Wang revisits the van Hiele model of geometric thinking with Sfard’s discursive framework to investigate geometric thinking from a discourse perspective. The author focuses on describing and analyzing pre-service teachers’ geometric discourse across different van Hiele levels. The explanatory power of Sfard’s framework provides a rich description of how pre-service teachers think in the context of quadrilaterals. It also contributes to our understanding of human thinking that is illustrated through the analysis of geometric discourse accompanied by vignettes.
Author : Linda P. Finnell
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (276 download)
Download or read book Metacognition and the Van Hiele Model of Thinking in Geometry written by Linda P. Finnell and published by . This book was released on 1992 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John P. Smith
Publisher : IAP
ISBN 13 : 1617351997
Total Pages : 234 pages
Book Rating : 4.6/5 (173 download)
Download or read book Variability is the Rule written by John P. Smith and published by IAP. This book was released on 2010-12-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to No Child Let Behind, states have developed mathematics curriculum frameworks that outline their intended curriculum for grades K–8. While some have indicated that districts or individual schools may use their framework as a model for specific curricular programs, others have taken a more prescriptive or even mandatory stance. Collectively, these frameworks present a sense of the national mathematics program and what we expect students learn. This volume follows The Intended Curriculum as Represented in State Mathematics Curriculum Standards: Consensus or Confusion? (Reys). While the Reys volume focused on number and operations, algebra and reasoning strands, the Smith volume analyzes geometry, measurement, probability, and statistics strands. It also presents an analysis what verbs used tell us about the cognitive demand of grade level expectations. This volume, even more than the Reys volume, emphasizes the theme of variability in the content, expression, and clarity of grade level expectations across the states. As the nation moves toward implementation of the Common Core Standards, this volume highlights some of the challenges teachers and other school personnel face in interpreting mathematics grade-level standards as goals for classroom teaching. The shift from 50 state standards to one document does not resolve this basic challenge.
Author : Sue Johnston-Wilder
Publisher : Routledge
ISBN 13 : 1134338910
Total Pages : 350 pages
Book Rating : 4.1/5 (343 download)
Download or read book Fundamental Constructs in Mathematics Education written by Sue Johnston-Wilder and published by Routledge. This book was released on 2004-01-22 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Constructs in Mathematics Education is a unique sourcebook which has been crafted from a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature. Linked together by the editors'' narrative, the book provides a fascinating examination of key constructs in mathematics education. The book is divided into two parts. The first part examines ''thinking about the learner'' and includes the following constructs: constructivisms, activity theory and didactics. Beginning with a chapter dedicated to the classic tasks used by researchers to ''probe'' learners'' understanding, readers are encouraged to try these theories themselves with learners and be knowledgeable when they encounter them in other writing. The second part focuses on ''thinking and teaching'' and includes issues of getting started, keeping going and bringing to a conclusion. Bringing together writing from Balacheff, Brousseau, Bruner, Cobb, Comfrey, Freudenthal, Greeno, Marton, Piaget, Schon, Vygotsky and many others, this unique examination of constructs in mathematics education will be a valuable resource for anyone reading literature related to learning mathematics be they a teacher, adviser or a student on a masters or PhD course.
Author : Anna Sfard
Publisher : Cambridge University Press
ISBN 13 : 1139467999
Total Pages : 295 pages
Book Rating : 4.1/5 (394 download)
Download or read book Thinking as Communicating written by Anna Sfard and published by Cambridge University Press. This book was released on 2008-01-21 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to change our thinking about thinking. Anna Sfard undertakes this task convinced that many long-standing, seemingly irresolvable quandaries regarding human development originate in ambiguities of the existing discourses on thinking. Standing on the shoulders of Vygotsky and Wittgenstein, the author defines thinking as a form of communication. The disappearance of the time-honoured thinking-communicating dichotomy is epitomised by Sfard's term, commognition, which combines communication with cognition. The commognitive tenet implies that verbal communication with its distinctive property of recursive self-reference may be the primary source of humans' unique ability to accumulate the complexity of their action from one generation to another. The explanatory power of the commognitive framework and the manner in which it contributes to our understanding of human development is illustrated through commognitive analysis of mathematical discourse accompanied by vignettes from mathematics classrooms.
Author :
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1999 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309124654
Total Pages : 501 pages
Book Rating : 4.3/5 (91 download)
Download or read book Early Childhood Assessment written by National Research Council and published by National Academies Press. This book was released on 2008-12-21 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The assessment of young children's development and learning has recently taken on new importance. Private and government organizations are developing programs to enhance the school readiness of all young children, especially children from economically disadvantaged homes and communities and children with special needs. Well-planned and effective assessment can inform teaching and program improvement, and contribute to better outcomes for children. This book affirms that assessments can make crucial contributions to the improvement of children's well-being, but only if they are well designed, implemented effectively, developed in the context of systematic planning, and are interpreted and used appropriately. Otherwise, assessment of children and programs can have negative consequences for both. The value of assessments therefore requires fundamental attention to their purpose and the design of the larger systems in which they are used. Early Childhood Assessment addresses these issues by identifying the important outcomes for children from birth to age 5 and the quality and purposes of different techniques and instruments for developmental assessments.
Author : Mark J. Driscoll
Publisher :
ISBN 13 :
Total Pages : 179 pages
Book Rating : 4.:/5 (366 download)
Download or read book Research Within Reach written by Mark J. Driscoll and published by . This book was released on 1988 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sam Chaltain
Publisher : John Wiley & Sons
ISBN 13 : 0470945915
Total Pages : 160 pages
Book Rating : 4.4/5 (79 download)
Download or read book Faces of Learning written by Sam Chaltain and published by John Wiley & Sons. This book was released on 2011-01-19 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspirational stories of engaging, real-life educational experiences Everyone has a personal learning story, a time when they became actively engaged in their own education. Maybe it was an especially challenging teacher, or a uniquely supportive environment, or a collaborative classroom. In Faces of Learning, both well-known public figures, such as Arne Duncan and Al Franken, and ordinary Americans recall the moments when they truly learned something. Includes stories from people of all different backgrounds and from all over the country The stories are grouped into categories by theme like "relevant" and "experiential" to help reveal the common characteristics of what works in education Each chapter ends with five things you can do to improve your own learning, that of your students, and of all Americans Readers can visit the companion website www.facesoflearning.net to share their own stories of educational success and find out what else they can do.
Author : Anne Watson
Publisher : Oxford University Press, USA
ISBN 13 : 0199665516
Total Pages : 270 pages
Book Rating : 4.1/5 (996 download)
Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by Oxford University Press, USA. This book was released on 2013-02-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: International research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.
Author : Angel Gutiérrez
Publisher : Sense Publishers
ISBN 13 : 9077874194
Total Pages : 538 pages
Book Rating : 4.0/5 (778 download)
Download or read book Handbook of Research on the Psychology of Mathematics Education written by Angel Gutiérrez and published by Sense Publishers. This book was released on 2006 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.
Author : Pierre M. van Hiele
Publisher :
ISBN 13 :
Total Pages : 300 pages
Book Rating : 4.0/5 ( download)
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:
Author : Randall E. Groth
Publisher : SAGE Publications
ISBN 13 : 1452256020
Total Pages : 513 pages
Book Rating : 4.4/5 (522 download)
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.
Author : Andrea Peter-Koop
Publisher : Springer Science & Business Media
ISBN 13 : 9401710724
Total Pages : 439 pages
Book Rating : 4.4/5 (17 download)
Download or read book Collaboration in Teacher Education written by Andrea Peter-Koop and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically explores and reflects on a variety of issues related to collaborative mathematics teacher education practice and research – such as classroom coaching, mentoring or co-learning agreements - highlighting the evolution and implications of collaborative enterprises in different cultural settings. It is relevant to educational researchers, research students and practitioners.
Author : Tim Rowland
Publisher : Springer Science & Business Media
ISBN 13 : 904819766X
Total Pages : 300 pages
Book Rating : 4.0/5 (481 download)
Download or read book Mathematical Knowledge in Teaching written by Tim Rowland and published by Springer Science & Business Media. This book was released on 2011-01-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.
