Holton, Derek Allan 1941
Overview
Works:  167 works in 365 publications in 3 languages and 4,527 library holdings 

Genres:  Popular works Conference proceedings Crosscultural studies 
Roles:  Author, Editor, Other 
Classifications:  QA93, 510 
Publication Timeline
.
Most widely held works by
Derek Allan Holton
Mathematical reflections : in a room with many mirrors
by
Peter Hilton(
Book
)
19 editions published between 1996 and 1998 in English and Italian and held by 736 WorldCat member libraries worldwide
The purpose of this book is to show what mathematics is about, how it is done, and what it is good for. The relaxed and informal presentation conveys the joy of mathematical discovery and insight and makes it clear that mathematics can be an exciting and engrossing activity. Frequent questions lead the reader to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that serve to illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascal's Triangle and paper folding  two topics where geometry, number theory, and algebra meet and interact; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught; these ideas are referred to throughout the text, whenever mathematical strategy and technique are at issue. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics (for mathematics students or for prospective or inservice mathematics teachers) or as enrichment for other courses. It can also be read with pleasure on its own by anyone interested in the intellectually intriguing aspects of mathematics
19 editions published between 1996 and 1998 in English and Italian and held by 736 WorldCat member libraries worldwide
The purpose of this book is to show what mathematics is about, how it is done, and what it is good for. The relaxed and informal presentation conveys the joy of mathematical discovery and insight and makes it clear that mathematics can be an exciting and engrossing activity. Frequent questions lead the reader to see mathematics as an accessible world of thought, where understanding can turn opaque formulae into beautiful and meaningful ideas. The text presents eight topics that serve to illustrate the unity of mathematical thought as well as the diversity of mathematical ideas. Drawn from both "pure" and "applied" mathematics, they include: spirals in nature and in mathematics; the modern topic of fractals and the ancient topic of Fibonacci numbers; Pascal's Triangle and paper folding  two topics where geometry, number theory, and algebra meet and interact; modular arithmetic and the arithmetic of the infinite. The final chapter presents some ideas about how mathematics should be done, and hence, how it should be taught; these ideas are referred to throughout the text, whenever mathematical strategy and technique are at issue. Presenting many recent discoveries that lead to interesting open questions, the book can serve as the main text in courses dealing with contemporary mathematical topics (for mathematics students or for prospective or inservice mathematics teachers) or as enrichment for other courses. It can also be read with pleasure on its own by anyone interested in the intellectually intriguing aspects of mathematics
The teaching and learning of mathematics at university level an ICMI study
by
Derek Allan Holton(
)
23 editions published between 1899 and 2010 in English and held by 565 WorldCat member libraries worldwide
This book arose from the ICMI Study into the teaching and learning of mathematics at university level that began with a conference in Singapore in 1998. The book looks at tertiary mathematics and its teaching from a number of aspects including practice, research, mathematics and other disciplines, technology, assessment, and teacher education. Over 50 authors, all international experts in their field, combined to produce a text that contains the latest in thinking and the best in practice. It therefore provides in one book a stateoftheart statement on tertiary teaching from a multiperspective standpoint. No previous book has attempted to take such a wide view of the topic
23 editions published between 1899 and 2010 in English and held by 565 WorldCat member libraries worldwide
This book arose from the ICMI Study into the teaching and learning of mathematics at university level that began with a conference in Singapore in 1998. The book looks at tertiary mathematics and its teaching from a number of aspects including practice, research, mathematics and other disciplines, technology, assessment, and teacher education. Over 50 authors, all international experts in their field, combined to produce a text that contains the latest in thinking and the best in practice. It therefore provides in one book a stateoftheart statement on tertiary teaching from a multiperspective standpoint. No previous book has attempted to take such a wide view of the topic
Combinatorial mathematics; proceedings of the second Australian conference
by
Derek Allan Holton(
Book
)
21 editions published in 1974 in 3 languages and held by 485 WorldCat member libraries worldwide
21 editions published in 1974 in 3 languages and held by 485 WorldCat member libraries worldwide
Combinatorial mathematics : proceedings of the International Conference on Combinatorial Theory, Canberra, August 1627, 1977
by
Derek Allan Holton(
Book
)
18 editions published in 1978 in 3 languages and held by 484 WorldCat member libraries worldwide
18 editions published in 1978 in 3 languages and held by 484 WorldCat member libraries worldwide
Mathematical vistas : from a room with many windows
by
Peter Hilton(
Book
)
13 editions published between 2000 and 2011 in English and held by 365 WorldCat member libraries worldwide
The goal of Mathematical Vistas is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. In order to offer a broad spectrum of exciting developments in mathematics, topics are treated at different levels of depth and thoroughness. Some chapters can be understood completely with little background, others can be thought of as appetizers for further study. A number of BREAKS are included in each chapter. These are problems designed to test the reader's understanding of the material thus far in the chapter. This book is a sequel to the authors's popular book "Mathematical Reflections" and can be read independently
13 editions published between 2000 and 2011 in English and held by 365 WorldCat member libraries worldwide
The goal of Mathematical Vistas is to stimulate the interest of bright people in mathematics. The book consists of nine related mathematical essays which will intrigue and inform the curious reader. In order to offer a broad spectrum of exciting developments in mathematics, topics are treated at different levels of depth and thoroughness. Some chapters can be understood completely with little background, others can be thought of as appetizers for further study. A number of BREAKS are included in each chapter. These are problems designed to test the reader's understanding of the material thus far in the chapter. This book is a sequel to the authors's popular book "Mathematical Reflections" and can be read independently
The Petersen graph
by
Derek Allan Holton(
Book
)
14 editions published between 1990 and 2004 in English and held by 293 WorldCat member libraries worldwide
14 editions published between 1990 and 2004 in English and held by 293 WorldCat member libraries worldwide
Lighting mathematical fires 2
by
Derek Allan Holton(
)
3 editions published in 2013 in English and held by 219 WorldCat member libraries worldwide
3 editions published in 2013 in English and held by 219 WorldCat member libraries worldwide
A first look at graph theory
by
John Clark(
Book
)
16 editions published between 1991 and 2005 in English and held by 200 WorldCat member libraries worldwide
16 editions published between 1991 and 2005 in English and held by 200 WorldCat member libraries worldwide
Algebra teaching around the world
by
Frederick K. S Leung(
)
3 editions published in 2014 in English and held by 190 WorldCat member libraries worldwide
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deeprooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the ConfucianHeritage Culture (CHC) countries and Western countries. It seems that a common emphasis of algebra teaching in CHC countries is the linkage or coherence of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in real world contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators
3 editions published in 2014 in English and held by 190 WorldCat member libraries worldwide
Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deeprooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the ConfucianHeritage Culture (CHC) countries and Western countries. It seems that a common emphasis of algebra teaching in CHC countries is the linkage or coherence of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in real world contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators
A first step to Mathematical Olympiad problems
by
Derek Allan Holton(
Book
)
8 editions published in 2010 in English and held by 102 WorldCat member libraries worldwide
8 editions published in 2010 in English and held by 102 WorldCat member libraries worldwide
Graphentheorie : Grundlagen und Anwendungen
by John Clark(
Book
)
1 edition published in 1994 in German and held by 85 WorldCat member libraries worldwide
1 edition published in 1994 in German and held by 85 WorldCat member libraries worldwide
A second step to Mathematical Olympiad problems
by
Derek Allan Holton(
Book
)
7 editions published in 2011 in English and held by 85 WorldCat member libraries worldwide
7 editions published in 2011 in English and held by 85 WorldCat member libraries worldwide
Research in collegiate mathematics education VII
(
Book
)
3 editions published in 2010 in English and held by 51 WorldCat member libraries worldwide
3 editions published in 2010 in English and held by 51 WorldCat member libraries worldwide
Lighting mathematical fires
by
Derek Allan Holton(
Book
)
2 editions published in 1998 in English and held by 35 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 35 WorldCat member libraries worldwide
Combinatorial Mathematics Proceedings of the International Conference on Combinatorial Theory Canberra, August 1627, 1977
by
Derek Allan Holton(
)
1 edition published in 1978 in English and held by 23 WorldCat member libraries worldwide
1 edition published in 1978 in English and held by 23 WorldCat member libraries worldwide
Children with autism : suggestions for teaching in the inclusive classroom
by
Marilyn Watson(
Book
)
2 editions published between 1997 and 1999 in English and held by 19 WorldCat member libraries worldwide
2 editions published between 1997 and 1999 in English and held by 19 WorldCat member libraries worldwide
Creating calculus
by
Derek Allan Holton(
Book
)
2 editions published in 1974 in English and held by 19 WorldCat member libraries worldwide
2 editions published in 1974 in English and held by 19 WorldCat member libraries worldwide
Mathematics today. Year 12. Maths A
(
Book
)
2 editions published between 1985 and 1986 in English and held by 19 WorldCat member libraries worldwide
2 editions published between 1985 and 1986 in English and held by 19 WorldCat member libraries worldwide
Derek Holton's problem solving series
by
Derek Allan Holton(
Book
)
4 editions published between 1988 and 1989 in English and held by 17 WorldCat member libraries worldwide
4 editions published between 1988 and 1989 in English and held by 17 WorldCat member libraries worldwide
Probing probability
by
Derek Allan Holton(
Book
)
1 edition published in 1976 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 16 WorldCat member libraries worldwide
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Audience Level
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Kids  General  Special 
Related Identities
 Pedersen, Jean
 Hilton, Peter 19232010 Author
 Seberry, Jennifer 1944 Editor
 Sheehan, J.
 Lovitt, Charles
 Clark, John Author
 Clarke, David Editor
 Leung, Frederick K. S. Author Editor
 Park, Kyungmee Editor
 Clark, John Author
Associated Subjects
AlgebraStudy and teaching Australia Autistic childrenEducation Calculus Combinatorial analysis Education Global analysis (Mathematics) Graph theory Inclusive education International Mathematical Olympiad Mathematical analysis Mathematical statistics Mathematics MathematicsResearch MathematicsStudy and teaching MathematicsStudy and teaching (Higher) MathematicsStudy and teaching (Primary) MathematicsStudy and teaching (Secondary) Petersen graphs Probabilities Problem solving Statistics