Proof and Proving in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Proof and Proving in Mathematics Education by : Gila Hanna

Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

Geometry

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Publisher :
ISBN 13 : 9780895824301
Total Pages : 0 pages
Book Rating : 4.8/5 (243 download)

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Book Synopsis Geometry by : G. D. Chakerian

Download or read book Geometry written by G. D. Chakerian and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proof in Mathematics Education

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Author :
Publisher : BRILL
ISBN 13 : 946091246X
Total Pages : 265 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Proof in Mathematics Education by : David A. Reid

Download or read book Proof in Mathematics Education written by David A. Reid and published by BRILL. This book was released on 2010-01-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education.

Advances in Mathematics Education Research on Proof and Proving

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Author :
Publisher : Springer
ISBN 13 : 3319709968
Total Pages : 298 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Advances in Mathematics Education Research on Proof and Proving by : Andreas J. Stylianides

Download or read book Advances in Mathematics Education Research on Proof and Proving written by Andreas J. Stylianides and published by Springer. This book was released on 2018-01-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: • Theme 1: Epistemological issues related to proof and proving; • Theme 2: Classroom-based issues related to proof and proving; • Theme 3: Cognitive and curricular issues related to proof and proving; and • Theme 4: Issues related to the use of examples in proof and proving. Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall.

The Learning and Teaching of Geometry in Secondary Schools

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1351973533
Total Pages : 240 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis The Learning and Teaching of Geometry in Secondary Schools by : Pat Herbst

Download or read book The Learning and Teaching of Geometry in Secondary Schools written by Pat Herbst and published by Taylor & Francis. This book was released on 2017-03-16 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.

Teaching Mathematics in Grades 6 - 12

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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.

The Four Pillars of Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 0387255303
Total Pages : 240 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Four Pillars of Geometry by : John Stillwell

Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises

International Journal of Science, Technology, Engineering and Mathematics

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Author :
Publisher : Institute of Industry and Academic Research Incorporated
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4./5 ( download)

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Book Synopsis International Journal of Science, Technology, Engineering and Mathematics by : Patricia Nicole F. Benedicto & Rose R. Andrade

Download or read book International Journal of Science, Technology, Engineering and Mathematics written by Patricia Nicole F. Benedicto & Rose R. Andrade and published by Institute of Industry and Academic Research Incorporated. This book was released on 2022-06-30 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Journal of Science, Technology, Engineering and Mathematics (IJSTEM) is an open-access refereed journal focused recent developments relative to biomedical science, software applications development, modelling and systems design, and mathematics education research. It is a selective multi-track journal, covering all aspects of biomedical engineering, nanotechnology, solving and expressing mathematical problems with digital tools, mathematical modelling, networking and information security as well as their involvement in the telecom market, contemporary computer technologies and applications, computer vision, advanced computer research and topics in mechatronics.

Research in Collegiate Mathematics Education III

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Publisher : American Mathematical Soc.
ISBN 13 : 0821808826
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Research in Collegiate Mathematics Education III by : James J. Kaput

Download or read book Research in Collegiate Mathematics Education III written by James J. Kaput and published by American Mathematical Soc.. This book was released on 1998 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.

GeNeDis 2022

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Publisher : Springer Nature
ISBN 13 : 3031319826
Total Pages : 309 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis GeNeDis 2022 by : Panagiotis Vlamos

Download or read book GeNeDis 2022 written by Panagiotis Vlamos and published by Springer Nature. This book was released on 2023-07-24 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th World Congress on Genetics, Geriatrics and Neurodegenerative Diseases Research (GeNeDis 2022) focuses on the latest major challenges in scientific research, new drug targets, the development of novel biomarkers, new imaging techniques, novel protocols for early diagnosis of neurodegenerative diseases, and several other scientific advances, with the aim of better, safer, and healthier aging. Computational methodologies for implementation on the discovery of biomarkers for neurodegenerative diseases are extensively discussed. This volume focuses on the sessions from the conference regarding computational biology and bioinformatics.

The Skill Approach in Education

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 152751546X
Total Pages : 521 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis The Skill Approach in Education by : Mehmet Serdar Erciş

Download or read book The Skill Approach in Education written by Mehmet Serdar Erciş and published by Cambridge Scholars Publishing. This book was released on 2018-07-27 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, information and technological developments grow at a rapid pace. Social and political life becomes more and more complicated and, in this process, active citizenship becomes more essential. Knowledge-driven changes in society and economies require individuals to quickly acquire new skills. Otherwise, it is increasingly difficult for employees to adapt to business life and to find a job. Education has to take account of these circumstances, adapt to the rapid developments in the world and educate individuals to continue lifelong learning. For this, skills such as active and independent learning, assertiveness, creativity, self-improvement, lifelong learning are important. Skill teaching differs from knowledge teaching. Skill is the transfer of knowledge to practice. This process involves a learning process that requires the steps of researching, planning, controlling and correcting. The knowledge should be organized, integrated, transferred into practice, mental and physical resources should be activated, and knowledge use should be demonstrated in practice in order to improve the skill. This book contributes to the teaching of skills and includes basic concepts and skills, language skills, science and mathematics skills, psycho-social skills and visual arts skills. It also explains how to teach skills, how to prepare for activities and how to implement activities in educational settings. These applications are intended to draw attention to skill teaching, to raise educators, to increase the success of education, to improve the skills of students, and to enable them to use the skills they have learned in school outside of school and in complex tasks.

Key Ideas in Teaching Mathematics

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Publisher : OUP Oxford
ISBN 13 : 0191643424
Total Pages : 359 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Key Ideas in Teaching Mathematics by : Anne Watson

Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by OUP Oxford. This book was released on 2013-02-21 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the strengths and pitfalls of various teaching approaches. Contemporary high-profile topics like modelling are included. The authors are experienced teachers, researchers and mathematics educators, and many teachers and researchers have been involved in the thinking behind this book, funded by the Nuffield Foundation. An associated website, hosted by the Nuffield Foundation, summarises the key messages in the book and connects them to examples of classroom tasks that address important learning issues about particular mathematical ideas.

We Reason & We Prove for ALL Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 150637817X
Total Pages : 342 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis We Reason & We Prove for ALL Mathematics by : Fran Arbaugh

Download or read book We Reason & We Prove for ALL Mathematics written by Fran Arbaugh and published by Corwin Press. This book was released on 2018-08-08 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students’ capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!

The Second Handbook of Research on the Psychology of Mathematics Education

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Publisher : Springer
ISBN 13 : 9463005617
Total Pages : 571 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis The Second Handbook of Research on the Psychology of Mathematics Education by : Ángel Gutiérrez

Download or read book The Second Handbook of Research on the Psychology of Mathematics Education written by Ángel Gutiérrez and published by Springer. This book was released on 2016-07-23 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.

Bulletin

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Publisher :
ISBN 13 :
Total Pages : 726 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Bulletin by : United States. Office of Education

Download or read book Bulletin written by United States. Office of Education and published by . This book was released on 1963 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Second Handbook of Research on Mathematics Teaching and Learning

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Publisher : IAP
ISBN 13 : 160752709X
Total Pages : 1380 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Second Handbook of Research on Mathematics Teaching and Learning by : Frank K. Lester

Download or read book Second Handbook of Research on Mathematics Teaching and Learning written by Frank K. Lester and published by IAP. This book was released on 2007-02-01 with total page 1380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Analysis of Research in the Teaching of Mathematics

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Author :
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Analysis of Research in the Teaching of Mathematics by :

Download or read book Analysis of Research in the Teaching of Mathematics written by and published by . This book was released on 1963 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: