Research in Collegiate Mathematics Education IV

Research in Collegiate Mathematics Education IV PDF Author: Ed Dubinsky
Publisher: American Mathematical Soc.
ISBN: 0821820281
Category : Education
Languages : en
Pages : 305

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Book Description
This fourth volume of Research in Collegiate Mathematics Education (RCME IV) reflects the themes of student learning and calculus. Included are overviews of calculus reform in France and in the U.S. and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. The work continues with detailed studies relating students' understanding of calculus and associated topics. Direct focus is then placed on instruction and student comprehension of courses other than calculus, namely abstract algebra and number theory. The volume concludes with a study of a concept that overlaps the areas of focus, quantifiers. The book clearly reflects the trend towards a growing community of researchers who systematically gather and distill data regarding collegiate mathematics' teaching and learning. This series is published in cooperation with the Mathematical Association of America.

Research in Collegiate Mathematics Education IV

Research in Collegiate Mathematics Education IV PDF Author: Ed Dubinsky
Publisher: American Mathematical Soc.
ISBN: 0821820281
Category : Education
Languages : en
Pages : 305

Get Book Here

Book Description
This fourth volume of Research in Collegiate Mathematics Education (RCME IV) reflects the themes of student learning and calculus. Included are overviews of calculus reform in France and in the U.S. and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. The work continues with detailed studies relating students' understanding of calculus and associated topics. Direct focus is then placed on instruction and student comprehension of courses other than calculus, namely abstract algebra and number theory. The volume concludes with a study of a concept that overlaps the areas of focus, quantifiers. The book clearly reflects the trend towards a growing community of researchers who systematically gather and distill data regarding collegiate mathematics' teaching and learning. This series is published in cooperation with the Mathematical Association of America.

Research in Collegiate Mathematics Education

Research in Collegiate Mathematics Education PDF Author: Annie Selden
Publisher: American Mathematical Soc.
ISBN: 0821833022
Category : Mathematics
Languages : en
Pages : 225

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Book Description


Research in Collegiate Mathematics Education VI

Research in Collegiate Mathematics Education VI PDF Author: Fernando Hitt
Publisher: American Mathematical Soc.
ISBN: 0821842439
Category : Mathematics
Languages : en
Pages : 265

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Book Description
The sixth volume of Research in Collegiate Mathematics Education presents state-of-the-art research on understanding, teaching, and learning mathematics at the postsecondary level. The articles advance our understanding of collegiate mathematics education while being readable by a wide audience of mathematicians interested in issues affecting their own students. This is a collection of useful and informative research regarding the ways our students think about and learn mathematics.The volume opens with studies on students' experiences with calculus reform and on the effects of concept-based calculus instruction. The next study uses technology and the van Hiele framework to help students construct concept images of sequential convergence. The volume continues with studies ondeveloping and assessing specific competencies in real analysis, on introductory complex analysis, and on using geometry in teaching and learning linear algebra. It closes with a study on the processes used in proof construction and another on the transition to graduate studies in mathematics. Whether they are specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas that they canuse. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

Research in Collegiate Mathematics Education III

Research in Collegiate Mathematics Education III PDF Author: James J. Kaput
Publisher: American Mathematical Soc.
ISBN: 0821808826
Category : Education
Languages : en
Pages : 330

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Book Description
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.

Research in Collegiate Mathematics Education VII

Research in Collegiate Mathematics Education VII PDF Author: Fernando Hitt
Publisher: American Mathematical Soc.
ISBN: 0821849964
Category : Mathematics
Languages : en
Pages : 277

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Book Description
The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first two examine problems students experience when converting a representation from one particular system of representations to another. The next three papers investigate students learning about proofs. In the next two papers, the focus is instructor knowledge for teaching calculus. The final two papers in the volume address the nature of ``conception'' in mathematics. Whether they are specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas that they can use.

One Field, Many Paths: U. S. Doctoral Programs in Mathematics Education

One Field, Many Paths: U. S. Doctoral Programs in Mathematics Education PDF Author: Robert E. Reys
Publisher: American Mathematical Soc.
ISBN: 0821827715
Category : Education
Languages : en
Pages : 192

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Book Description
This book is the first to focus specifically on doctoral programs in mathematics education. It reflects the proceedings of a National Conference on Doctoral Programs in Mathematics Education (Lake Ozark, MO) which was sponsored by the National Science Foundation. This conference was proceeded by a comprehensive survey of programs conducted over the preceding year. The meeting was designed to generate dialog regarding the nature of current doctoral programs in mathematics education, to discuss ways to strengthen such programs, and to detail suggestions and guidelines for faculty engaged in restructuring an existing program or in creating a new one.

Nutritional Genomics

Nutritional Genomics PDF Author: Jim Kaput
Publisher: John Wiley & Sons
ISBN: 0471781789
Category : Technology & Engineering
Languages : en
Pages : 506

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Book Description
The definitive guide to the basic principles and latest advances in Nutritional Genomics Though still in its infancy, nutritional genomics, or "nutrigenomics," has revealed much about the complex interactions between diet and genes. But it is in its potential applications that nutrigenomics promises to revolutionize the ways we manage human health and combat disease in the years ahead. Great progress already has been made in modeling "personalized" nutrition for optimal health and longevity as well as in genotype-based dietary interventions for the prevention, mitigation, or possible cure of a variety of chronic diseases and some types of cancer. Topics covered include: * Nutrients and gene expression * The role of metabolomics in individualized health * Molecular mechanisms of longevity regulation and calorie restriction * Green tea polyphenols and soy peptides in cancer prevention * Maternal nutrition and fetal gene expression * Genetic susceptibility to heterocyclic amines from cooked foods * Bioinformatics and biocomputation in nutrigenomics * The pursuit of optimal diets Written by an all-star team of experts from around the globe, this volume provides an integrated overview of the cutting-edge field of nutritional genomics. The authors and editors lead an in-depth discussion of the fundamental principles and scientific methodologies that serve as the foundation for nutritional genomics and explore important recent advances in an array of related disciplines. Each self-contained chapter builds upon its predecessor, leading the reader seamlessly from basic principles to more complex scientific findings and experimental designs. Scientific chapters are carefully balanced with those addressing the social, ethical, regulatory, and commercial implications of nutrigenomics.

Proof and Proving in Mathematics Education

Proof and Proving in Mathematics Education PDF Author: Gila Hanna
Publisher: Springer Science & Business Media
ISBN: 9400721293
Category : Education
Languages : en
Pages : 468

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Book Description
*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.

The Future of the Teaching and Learning of Algebra

The Future of the Teaching and Learning of Algebra PDF Author: Kaye Stacey
Publisher: Springer Science & Business Media
ISBN: 1402081316
Category : Education
Languages : en
Pages : 382

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Book Description
Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice PDF Author: Robert Q. Berry III
Publisher: Corwin Press
ISBN: 1071806467
Category : Education
Languages : en
Pages : 328

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Book Description
Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.