Holton, Derek Allan 1941
Overview
Works:  179 works in 461 publications in 3 languages and 5,204 library holdings 

Genres:  Popular works Conference papers and 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
)
20 editions published between 1996 and 1998 in English and Italian and held by 720 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
20 editions published between 1996 and 1998 in English and Italian and held by 720 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
Combinatorial mathematics : proceedings of the International Conference on Combinatorial Theory, Canberra, August 1627, 1977 by
Elizabeth J Billington(
Book
)
33 editions published between 1974 and 2008 in 3 languages and held by 437 WorldCat member libraries worldwide
33 editions published between 1974 and 2008 in 3 languages and held by 437 WorldCat member libraries worldwide
Combinatorial mathematics; proceedings of the second Australian conference by
Australian Conference on Combinatorial Mathematics(
Book
)
24 editions published in 1974 in 3 languages and held by 404 WorldCat member libraries worldwide
24 editions published in 1974 in 3 languages and held by 404 WorldCat member libraries worldwide
Mathematical vistas : from a room with many windows by
Peter Hilton(
Book
)
14 editions published between 2000 and 2011 in English and held by 371 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
14 editions published between 2000 and 2011 in English and held by 371 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
A first look at graph theory by
John Clark(
Book
)
22 editions published between 1991 and 2005 in English and German and held by 311 WorldCat member libraries worldwide
22 editions published between 1991 and 2005 in English and German and held by 311 WorldCat member libraries worldwide
The Petersen graph by
Derek Allan Holton(
Book
)
16 editions published between 1990 and 2004 in English and held by 289 WorldCat member libraries worldwide
16 editions published between 1990 and 2004 in English and held by 289 WorldCat member libraries worldwide
The teaching and learning of mathematics at university level : an ICMI study by
Derek Allan Holton(
Book
)
23 editions published between 1899 and 2010 in English and held by 182 WorldCat member libraries worldwide
Annotation
23 editions published between 1899 and 2010 in English and held by 182 WorldCat member libraries worldwide
Annotation
A first step to Mathematical Olympiad problems by
Derek Allan Holton(
Book
)
10 editions published in 2010 in English and held by 114 WorldCat member libraries worldwide
10 editions published in 2010 in English and held by 114 WorldCat member libraries worldwide
A second step to Mathematical Olympiad problems by
Derek Allan Holton(
Book
)
10 editions published between 2011 and 2014 in English and held by 105 WorldCat member libraries worldwide
10 editions published between 2011 and 2014 in English and held by 105 WorldCat member libraries worldwide
Research in collegiate mathematics education VII(
Book
)
3 editions published in 2010 in English and held by 52 WorldCat member libraries worldwide
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
3 editions published in 2010 in English and held by 52 WorldCat member libraries worldwide
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
Creative activities in mathematics. problembased maths investigations for lower and middle secondary by
Derek Allan Holton(
Book
)
4 editions published in 2015 in English and held by 48 WorldCat member libraries worldwide
4 editions published in 2015 in English and held by 48 WorldCat member libraries worldwide
Lighting mathematical fires by
Derek Allan Holton(
Book
)
2 editions published in 1998 in English and held by 33 WorldCat member libraries worldwide
2 editions published in 1998 in English and held by 33 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 29 WorldCat member libraries worldwide
1 edition published in 1978 in English and held by 29 WorldCat member libraries worldwide
Combinatorial Mathematics Proceedings of the Second Australian Conference by
Derek Allan Holton(
)
1 edition published in 1974 in English and held by 29 WorldCat member libraries worldwide
1 edition published in 1974 in English and held by 29 WorldCat member libraries worldwide
Creative activities in mathematics. problembased maths investigations for lower and middle primary by
Derek Allan Holton(
Book
)
3 editions published in 2015 in English and held by 28 WorldCat member libraries worldwide
3 editions published in 2015 in English and held by 28 WorldCat member libraries worldwide
Lighting mathematical fires 2 by
Derek Allan Holton(
Book
)
8 editions published in 2013 in English and held by 28 WorldCat member libraries worldwide
The aims of this book is to provide stimulating material for students in years 2 to 8 in the form of a series of problems. Some of these problems are really investigations or explorations as they develop through a number of stages involving extensions of the original problems. These extensions allow problems to be tackled by students of differing ages and abilities as well as giving students the chance to understand the way research mathematicians think. This also means that problems do not have to be completed in a single session; teachers may choose to come back later in the year as students' knowledge develops
8 editions published in 2013 in English and held by 28 WorldCat member libraries worldwide
The aims of this book is to provide stimulating material for students in years 2 to 8 in the form of a series of problems. Some of these problems are really investigations or explorations as they develop through a number of stages involving extensions of the original problems. These extensions allow problems to be tackled by students of differing ages and abilities as well as giving students the chance to understand the way research mathematicians think. This also means that problems do not have to be completed in a single session; teachers may choose to come back later in the year as students' knowledge develops
Problem solving : the creative side of mathematics by
Derek Allan Holton(
Book
)
4 editions published between 2010 and 2011 in English and held by 22 WorldCat member libraries worldwide
4 editions published between 2010 and 2011 in English and held by 22 WorldCat member libraries worldwide
Algebra teaching around the world by
Frederick K. S Leung(
Book
)
8 editions published in 2014 in English and held by 22 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 {u2018}Western{u2019} countries. It seems that a common emphasis of algebra teaching in CHC countries is the {u2018}linkage{u2019} or {u2018}coherence{u2019} 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 {u2018}real world{u2019} 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 of 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"Page 4 of cover
8 editions published in 2014 in English and held by 22 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 {u2018}Western{u2019} countries. It seems that a common emphasis of algebra teaching in CHC countries is the {u2018}linkage{u2019} or {u2018}coherence{u2019} 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 {u2018}real world{u2019} 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 of 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"Page 4 of cover
More problem solving : the creative side of mathematics by
Derek Allan Holton(
Book
)
1 edition published in 2013 in English and held by 20 WorldCat member libraries worldwide
Here are everyday problems to taunt, delight  and to solve. The objects of creativity here are problems that at some level are readily accessible to most secondary students. To make good progress, a knowledge of number and basic logical skills are sufficient. Algebra isn't mandatory, but an ability to experiment is. The underlying aim of this book is to show that mathematics is more than a collection of results; there is also a creative, peopleside to the subject
1 edition published in 2013 in English and held by 20 WorldCat member libraries worldwide
Here are everyday problems to taunt, delight  and to solve. The objects of creativity here are problems that at some level are readily accessible to most secondary students. To make good progress, a knowledge of number and basic logical skills are sufficient. Algebra isn't mandatory, but an ability to experiment is. The underlying aim of this book is to show that mathematics is more than a collection of results; there is also a creative, peopleside to the subject
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
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Hilton, Peter 19232010 Author
 Pedersen, Jean
 Park, Kyungmee 1965 Editor
 Leung, Frederick K. S. Author Editor
 Clarke, David 1952 Editor
 Seberry, Jennifer 1944 Editor
 Sheehan, J.
 Clark, John Author
 Artigue, Michèle
 Lovitt, Charles
Associated Subjects
AlgebraStudy and teaching Australia Combinatorial analysis Education Global analysis (Mathematics) Graph theory International Mathematical Olympiad Mathematical recreations Mathematics MathematicsResearch MathematicsStudy and teaching MathematicsStudy and teaching (Higher) MathematicsStudy and teaching (Primary) MathematicsStudy and teaching (Secondary) MathematicsStudy and teachingActivity programs Petersen graphs Statistics