Author: Ed Dubinsky
Publisher: American Mathematical Soc.
ISBN: 0821820281
Category : Education
Languages : en
Pages : 305
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
Author: Ed Dubinsky
Publisher: American Mathematical Soc.
ISBN: 0821820281
Category : Education
Languages : en
Pages : 305
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.
Publisher: American Mathematical Soc.
ISBN: 0821820281
Category : Education
Languages : en
Pages : 305
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
Author: Annie Selden
Publisher: American Mathematical Soc.
ISBN: 0821833022
Category : Mathematics
Languages : en
Pages : 225
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821833022
Category : Mathematics
Languages : en
Pages : 225
Book Description
Research in Collegiate Mathematics Education III
Author: James J. Kaput
Publisher: American Mathematical Soc.
ISBN: 0821808826
Category : Education
Languages : en
Pages : 330
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.
Publisher: American Mathematical Soc.
ISBN: 0821808826
Category : Education
Languages : en
Pages : 330
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
Author: Fernando Hitt
Publisher: American Mathematical Soc.
ISBN: 0821849964
Category : Mathematics
Languages : en
Pages : 277
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.
Publisher: American Mathematical Soc.
ISBN: 0821849964
Category : Mathematics
Languages : en
Pages : 277
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.
Research in Collegiate Mathematics Education VI
Author: Fernando Hitt
Publisher: American Mathematical Soc.
ISBN: 0821842439
Category : Mathematics
Languages : en
Pages : 265
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.
Publisher: American Mathematical Soc.
ISBN: 0821842439
Category : Mathematics
Languages : en
Pages : 265
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.
Exploring Signature Pedagogies
Author: Regan A. R. Gurung
Publisher: Taylor & Francis
ISBN: 1000977587
Category : Education
Languages : en
Pages : 212
Book Description
From the Foreword“These authors have clearly shown the value in looking for the signature pedagogies of their disciplines. Nothing uncovers hidden assumptions about desired knowledge, skills, and dispositions better than a careful examination of our most cherished practices. The authors inspire specialists in other disciplines to do the same. Furthermore, they invite other colleagues to explore whether relatively new, interdisciplinary fields such as Women’s Studies and Global Studies have, or should have, a signature pedagogy consistent with their understanding of what it means to ‘apprentice’ in these areas." -- Anthony A. Ciccone, Senior Scholar and Director, Carnegie Academy for the Scholarship of Teaching and Learning.How do individual disciplines foster deep learning, and get students to think like disciplinary experts? With contributions from the sciences, humanities, and the arts, this book critically explores how to best foster student learning within and across the disciplines. This book represents a major advance in the Scholarship of Teaching and Learning (SoTL) by moving beyond individual case studies, best practices, and the work of individual scholars, to focus on the unique content and characteristic pedagogies of major disciplines. Each chapter begins by summarizing the SoTL literature on the pedagogies of a specific discipline, and by examining and analyzing its traditional practices, paying particular attention to how faculty evaluate success. Each concludes by the articulating for its discipline the elements of a “signature pedagogy” that will improve teaching and learning, and by offering an agenda for future research.Each chapter explores what the pedagogical literature of the discipline suggests are the optimal ways to teach material in that field, and to verify the resulting learning. Each author is concerned about how to engage students in the ways of knowing, the habits of mind, and the values used by experts in his or her field. Readers will not only benefit from the chapters most relevant to their disciplines. As faculty members consider how their courses fit into the broader curriculum and relate to the other disciplines, and design learning activities and goals not only within the discipline but also within the broader objectives of liberal education, they will appreciate the cross-disciplinary understandings this book affords.
Publisher: Taylor & Francis
ISBN: 1000977587
Category : Education
Languages : en
Pages : 212
Book Description
From the Foreword“These authors have clearly shown the value in looking for the signature pedagogies of their disciplines. Nothing uncovers hidden assumptions about desired knowledge, skills, and dispositions better than a careful examination of our most cherished practices. The authors inspire specialists in other disciplines to do the same. Furthermore, they invite other colleagues to explore whether relatively new, interdisciplinary fields such as Women’s Studies and Global Studies have, or should have, a signature pedagogy consistent with their understanding of what it means to ‘apprentice’ in these areas." -- Anthony A. Ciccone, Senior Scholar and Director, Carnegie Academy for the Scholarship of Teaching and Learning.How do individual disciplines foster deep learning, and get students to think like disciplinary experts? With contributions from the sciences, humanities, and the arts, this book critically explores how to best foster student learning within and across the disciplines. This book represents a major advance in the Scholarship of Teaching and Learning (SoTL) by moving beyond individual case studies, best practices, and the work of individual scholars, to focus on the unique content and characteristic pedagogies of major disciplines. Each chapter begins by summarizing the SoTL literature on the pedagogies of a specific discipline, and by examining and analyzing its traditional practices, paying particular attention to how faculty evaluate success. Each concludes by the articulating for its discipline the elements of a “signature pedagogy” that will improve teaching and learning, and by offering an agenda for future research.Each chapter explores what the pedagogical literature of the discipline suggests are the optimal ways to teach material in that field, and to verify the resulting learning. Each author is concerned about how to engage students in the ways of knowing, the habits of mind, and the values used by experts in his or her field. Readers will not only benefit from the chapters most relevant to their disciplines. As faculty members consider how their courses fit into the broader curriculum and relate to the other disciplines, and design learning activities and goals not only within the discipline but also within the broader objectives of liberal education, they will appreciate the cross-disciplinary understandings this book affords.
HK Cheap Eats
Author: Nicole Lade
Publisher: Blacksmith Books
ISBN: 9789628673216
Category : Dinners and dining
Languages : en
Pages : 768
Book Description
Hong Kong may be one of the world's most expensive cities - but that doesn't mean you have to spend a lot of money on dining out! Hong Kong Cheap Eats includes: > recommendations and reviews of over 250 good-value restaurants, located territory-wide > useful information about each restaurant, as well as a quick reference guide at the back > handy tips on how and where to eat cheaply > a convenient pocket-sized format for easy carrying Next time you are hungry in Hong Kong but don't want to break the bank, pick up this guide for some independent advice about the best value restaurants this city has to offer.
Publisher: Blacksmith Books
ISBN: 9789628673216
Category : Dinners and dining
Languages : en
Pages : 768
Book Description
Hong Kong may be one of the world's most expensive cities - but that doesn't mean you have to spend a lot of money on dining out! Hong Kong Cheap Eats includes: > recommendations and reviews of over 250 good-value restaurants, located territory-wide > useful information about each restaurant, as well as a quick reference guide at the back > handy tips on how and where to eat cheaply > a convenient pocket-sized format for easy carrying Next time you are hungry in Hong Kong but don't want to break the bank, pick up this guide for some independent advice about the best value restaurants this city has to offer.
The Future of the Teaching and Learning of Algebra
Author: Kaye Stacey
Publisher: Springer Science & Business Media
ISBN: 1402081316
Category : Education
Languages : en
Pages : 382
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.
Publisher: Springer Science & Business Media
ISBN: 1402081316
Category : Education
Languages : en
Pages : 382
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.
Mathematical Modelling
Author: C Haines
Publisher: Elsevier
ISBN: 0857099418
Category : Mathematics
Languages : en
Pages : 511
Book Description
This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications. - Covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications - Continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling - Shows how real life problems can be discussed during university lectures, in school classrooms and industrial research
Publisher: Elsevier
ISBN: 0857099418
Category : Mathematics
Languages : en
Pages : 511
Book Description
This book continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling. Each chapter shows how real life problems can be discussed during university lectures, in school classrooms and industrial research. International experts contribute their knowledge and experience by providing analysis, insight and comment whilst tackling large and complex problems by applying mathematical modelling. This book covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications. - Covers the proceedings from the Twelfth International Conference on the Teaching of Mathematical Modelling and Applications - Continues the ICTMA tradition of influencing teaching and learning in the application of mathematical modelling - Shows how real life problems can be discussed during university lectures, in school classrooms and industrial research
Making the Connection
Author: Marilyn Paula Carlson
Publisher: MAA
ISBN: 9780883851838
Category : Mathematics
Languages : en
Pages : 340
Book Description
The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.
Publisher: MAA
ISBN: 9780883851838
Category : Mathematics
Languages : en
Pages : 340
Book Description
The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.