Dubinsky, Ed
Overview
Works:  59 works in 245 publications in 3 languages and 3,409 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA3, 510.711 
Publication Timeline
.
Most widely held works by
Ed Dubinsky
The structure of nuclear Fréchet spaces by
Ed Dubinsky(
Book
)
16 editions published in 1979 in English and German and held by 572 WorldCat member libraries worldwide
16 editions published in 1979 in English and German and held by 572 WorldCat member libraries worldwide
Readings in cooperative learning for undergraduate mathematics(
Book
)
4 editions published in 1997 in English and held by 402 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 402 WorldCat member libraries worldwide
Research issues in undergraduate mathematics learning : preliminary analyses and results(
Book
)
7 editions published in 1994 in English and held by 302 WorldCat member libraries worldwide
7 editions published in 1994 in English and held by 302 WorldCat member libraries worldwide
Learning discrete mathematics with ISETL by
Nancy Baxter(
Book
)
17 editions published between 1988 and 1989 in English and held by 301 WorldCat member libraries worldwide
The title of this book, Learning Discrete Mathematics with ISETL raises two issues. We have chosen the word "Learning" rather than "Teaching" because we think that what the student does in order to learn is much more important than what the professor does in order to teach. Academia is filled with outstanding mathematics teachers: excellent expositors, good organizers, hard workers, men and women who have a deep understanding of Mathematics and its applications. Yet, when it comes to ideas in Mathe matics, our students do not seem to be learning. It may be that something more is needed and we have tried to construct a book that might provide a different kind of help to the student in acquiring some of the fundamental concepts of Mathematics. In a number of ways we have made choices that seem to us to be the best for learning, even if they don't always completely agree with standard teaching practice. A second issue concerns students' writing programs. ISETL is a pro gramming language and by the phrase "with ISETL" in the title, we mean that our intention is for students to write code, think about what they have written, predict its results, and run their programs to check their predic tions. There is a tradeoff here. On the one hand, it can be argued that students' active involvement with constructing Mathematics for themselves and solving problems is essential to understanding concepts
17 editions published between 1988 and 1989 in English and held by 301 WorldCat member libraries worldwide
The title of this book, Learning Discrete Mathematics with ISETL raises two issues. We have chosen the word "Learning" rather than "Teaching" because we think that what the student does in order to learn is much more important than what the professor does in order to teach. Academia is filled with outstanding mathematics teachers: excellent expositors, good organizers, hard workers, men and women who have a deep understanding of Mathematics and its applications. Yet, when it comes to ideas in Mathe matics, our students do not seem to be learning. It may be that something more is needed and we have tried to construct a book that might provide a different kind of help to the student in acquiring some of the fundamental concepts of Mathematics. In a number of ways we have made choices that seem to us to be the best for learning, even if they don't always completely agree with standard teaching practice. A second issue concerns students' writing programs. ISETL is a pro gramming language and by the phrase "with ISETL" in the title, we mean that our intention is for students to write code, think about what they have written, predict its results, and run their programs to check their predic tions. There is a tradeoff here. On the one hand, it can be argued that students' active involvement with constructing Mathematics for themselves and solving problems is essential to understanding concepts
Research in collegiate mathematics education I(
Book
)
19 editions published between 1991 and 1996 in English and Undetermined and held by 264 WorldCat member libraries worldwide
19 editions published between 1991 and 1996 in English and Undetermined and held by 264 WorldCat member libraries worldwide
The Concept of function : aspects of epistemology and pedagogy by
Guershon Harel(
Book
)
9 editions published between 1992 and 2001 in English and held by 251 WorldCat member libraries worldwide
9 editions published between 1992 and 2001 in English and held by 251 WorldCat member libraries worldwide
Learning abstract algebra with ISETL by
Ed Dubinsky(
Book
)
26 editions published between 1993 and 2014 in 3 languages and held by 226 WorldCat member libraries worldwide
Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the mathlike programming language ISETL; the main tool for reflections is work in teams of 24 students, where the activities are discussed and debated. Because of the similarity of ISETL expressions to standard written mathematics, there is very little programming overhead: learning to program is inseparable from learning the mathematics. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. This text section is written in an informed, discusive style, closely relating definitions and proofs to the constructions in the activities. Notions such as cosets and quotient groups become much more meaningful to the students than when they are preseted in a lecture
26 editions published between 1993 and 2014 in 3 languages and held by 226 WorldCat member libraries worldwide
Most students in abstract algebra classes have great difficulty making sense of what the instructor is saying. Moreover, this seems to remain true almost independently of the quality of the lecture. This book is based on the constructivist belief that, before students can make sense of any presentation of abstract mathematics, they need to be engaged in mental activities which will establish an experiential base for any future verbal explanation. No less, they need to have the opportunity to reflect on their activities. This approach is based on extensive theoretical and empirical studies as well as on the substantial experience of the authors in teaching astract algebra. The main source of activities in this course is computer constructions, specifically, small programs written in the mathlike programming language ISETL; the main tool for reflections is work in teams of 24 students, where the activities are discussed and debated. Because of the similarity of ISETL expressions to standard written mathematics, there is very little programming overhead: learning to program is inseparable from learning the mathematics. Each topic is first introduced through computer activities, which are then followed by a text section and exercises. This text section is written in an informed, discusive style, closely relating definitions and proofs to the constructions in the activities. Notions such as cosets and quotient groups become much more meaningful to the students than when they are preseted in a lecture
On [lowercase Greek]Lambdanuclearity by
Ed Dubinsky(
Book
)
3 editions published in 1972 in English and Undetermined and held by 161 WorldCat member libraries worldwide
This book has two important merits. First it contains a unifying theory of what has been done in the direction of generalizing the notion of nuclearity, replacing the space ℓ¹ by an arbitrary sequence space [lowercase Greek]Lambda. Second, written very clearly, it is quite understandable for nonspecialists, and can thus serve as a starting point for those who become interested in the subject. The book contains new material, gives answers to existing conjectures, and discusses several unsolved problems. It is indispensable for those who are doing research in this domain
3 editions published in 1972 in English and Undetermined and held by 161 WorldCat member libraries worldwide
This book has two important merits. First it contains a unifying theory of what has been done in the direction of generalizing the notion of nuclearity, replacing the space ℓ¹ by an arbitrary sequence space [lowercase Greek]Lambda. Second, written very clearly, it is quite understandable for nonspecialists, and can thus serve as a starting point for those who become interested in the subject. The book contains new material, gives answers to existing conjectures, and discusses several unsolved problems. It is indispensable for those who are doing research in this domain
Research in collegiate mathematics education(
Book
)
8 editions published in 1998 in English and held by 154 WorldCat member libraries worldwide
8 editions published in 1998 in English and held by 154 WorldCat member libraries worldwide
Research in collegiate mathematics education II(
Book
)
9 editions published between 1996 and 1998 in English and held by 139 WorldCat member libraries worldwide
9 editions published between 1996 and 1998 in English and held by 139 WorldCat member libraries worldwide
Introduction to discrete mathematics with ISETL by
William E Fenton(
Book
)
10 editions published in 1996 in 3 languages and held by 131 WorldCat member libraries worldwide
Topics covered in this book include: the propositional calculus, operations on sets, basic counting methods, predicate calculus, relations, graphs, functions, and mathematical induction
10 editions published in 1996 in 3 languages and held by 131 WorldCat member libraries worldwide
Topics covered in this book include: the propositional calculus, operations on sets, basic counting methods, predicate calculus, relations, graphs, functions, and mathematical induction
Research in collegiate mathematics education IV(
Book
)
13 editions published in 2000 in English and held by 116 WorldCat member libraries worldwide
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 largescale and smallscale longitudinal comparisons of students enrolled in firstyear 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 co
13 editions published in 2000 in English and held by 116 WorldCat member libraries worldwide
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 largescale and smallscale longitudinal comparisons of students enrolled in firstyear 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 co
On [Lambda]nuclearity by
Ed Dubinsky(
Book
)
12 editions published between 1971 and 1972 in English and Undetermined and held by 56 WorldCat member libraries worldwide
12 editions published between 1971 and 1972 in English and Undetermined and held by 56 WorldCat member libraries worldwide
Programming with sets : an introduction to SETL by
Jacob T Schwartz(
)
3 editions published in 1986 in English and held by 56 WorldCat member libraries worldwide
The programming language SETL is a relatively new member of the socalled "veryhighlevel" class of languages, some of whose other wellknown members are LISP, APL, SNOBOL, and PROLOG. These languages all aim to reduce the cost of programming, recognized today as a main obstacle to future progress in the computer field, by allowing direct manipulation of large composite objects, considerably more complex than the integers, strings, etc., available in such wellknown mainstream languages as PASCAL, PL/I, ALGOL, and Ada. For this purpose, LISP introduces structured lists as data objects, APL introduces vectors and matrices, and SETL introduces the objects characteristic for it, namely general finite sets and maps. The direct availability of these abstract, composite objects, and of powerful mathematical operations upon them, improves programmer speed and productivity significantly, and also enhances program clarity and readability. The classroom consequence is that students, freed of some of the burden of petty programming detail, can advance their knowledge of significant algorithms and of broader strategic issues in program development more rapidly than with more conventional programming languages
3 editions published in 1986 in English and held by 56 WorldCat member libraries worldwide
The programming language SETL is a relatively new member of the socalled "veryhighlevel" class of languages, some of whose other wellknown members are LISP, APL, SNOBOL, and PROLOG. These languages all aim to reduce the cost of programming, recognized today as a main obstacle to future progress in the computer field, by allowing direct manipulation of large composite objects, considerably more complex than the integers, strings, etc., available in such wellknown mainstream languages as PASCAL, PL/I, ALGOL, and Ada. For this purpose, LISP introduces structured lists as data objects, APL introduces vectors and matrices, and SETL introduces the objects characteristic for it, namely general finite sets and maps. The direct availability of these abstract, composite objects, and of powerful mathematical operations upon them, improves programmer speed and productivity significantly, and also enhances program clarity and readability. The classroom consequence is that students, freed of some of the burden of petty programming detail, can advance their knowledge of significant algorithms and of broader strategic issues in program development more rapidly than with more conventional programming languages
Research in collegiate mathematics education(
Book
)
15 editions published between 1990 and 2006 in English and held by 50 WorldCat member libraries worldwide
15 editions published between 1990 and 2006 in English and held by 50 WorldCat member libraries worldwide
Research in collegiate mathematics education V(
)
3 editions published in 2003 in English and held by 28 WorldCat member libraries worldwide
This fifth volume of Research in Collegiate Mathematics Education presents stateoftheart research on understanding, teaching, and learning mathematics at the postsecondary level. The articles in RCME are peerreviewed for two major features: (1) advancing our understanding of collegiate mathematics education, and (2) readability by a wide audience of practicing mathematicians interested in issues affecting their own students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding the ways our students think about and learn mathematics
3 editions published in 2003 in English and held by 28 WorldCat member libraries worldwide
This fifth volume of Research in Collegiate Mathematics Education presents stateoftheart research on understanding, teaching, and learning mathematics at the postsecondary level. The articles in RCME are peerreviewed for two major features: (1) advancing our understanding of collegiate mathematics education, and (2) readability by a wide audience of practicing mathematicians interested in issues affecting their own students. This is not a collection of scholarly arcana, but a compilation of useful and informative research regarding the ways our students think about and learn mathematics
The structure of nuclear Fréchet spaces by
Ed Dubinsky(
Book
)
1 edition published in 1979 in English and held by 24 WorldCat member libraries worldwide
1 edition published in 1979 in English and held by 24 WorldCat member libraries worldwide
Lectures on partial differential equations by
Ed Dubinsky(
Book
)
10 editions published in 1972 in English and Undetermined and held by 24 WorldCat member libraries worldwide
10 editions published in 1972 in English and Undetermined and held by 24 WorldCat member libraries worldwide
On lambdanuclearity by
Ed Dubinsky(
Book
)
3 editions published in 1972 in English and Italian and held by 22 WorldCat member libraries worldwide
3 editions published in 1972 in English and Italian and held by 22 WorldCat member libraries worldwide
The Structure of Nuclear Frechet Spaces by
Ed Dubinsky(
Book
)
5 editions published between 1979 and 2008 in English and held by 19 WorldCat member libraries worldwide
5 editions published between 1979 and 2008 in English and held by 19 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Kaput, James J. 1942 Other Editor
 Schoenfeld, Alan H. Other Editor
 Mathews, David M. Editor
 Reynolds, Barbara E. Author Editor
 Harel, Guershon 1952 Other Author Editor
 Levin, Gary
 Baxter Hastings, Nancy Author
 Mathematical Association of America Other
 American Mathematical Society Other Editor
 Ramanujan, M. S. 1931
Associated Subjects
Algebra, AbstractComputerassisted instruction Combinatorial analysis Computer science Computer scienceMathematics Differential equations, Partial Fréchet spaces Functions FunctionsStudy and teaching Generalized spaces Group theory Group work in education ISETL (Computer program language) Linear operators Locally convex spaces Mathematics MathematicsResearch MathematicsStudy and teaching MathematicsStudy and teaching (Higher) MathematicsStudy and teachingResearch Nuclear spaces (Functional analysis) Sequence spaces SETL (Computer program language) Software engineering United States