Holton, Derek Allan 1941
Overview
Works:  200 works in 553 publications in 3 languages and 5,991 library holdings 

Genres:  Popular works Conference papers and proceedings Crosscultural studies 
Roles:  Author, Editor, htt, Other 
Classifications:  QA93, 510 
Publication Timeline
.
Most widely held works by
Derek Allan Holton
Algebra teaching around the world by
Frederick K. S Leung(
)
11 editions published in 2014 in English and held by 897 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
11 editions published in 2014 in English and held by 897 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
Mathematical reflections : in a room with many mirrors by
Peter Hilton(
Book
)
25 editions published between 1996 and 1998 in 4 languages and held by 826 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. 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
25 editions published between 1996 and 1998 in 4 languages and held by 826 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. 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 second Australian conference by
Derek Allan Holton(
Book
)
27 editions published in 1974 in 3 languages and held by 633 WorldCat member libraries worldwide
27 editions published in 1974 in 3 languages and held by 633 WorldCat member libraries worldwide
Combinatorial mathematics : proceedings of the International Conference on Combinatorial Theory, Canberra, August 1627, 1977 by
International Conference on Combinatorial Theory(
Book
)
24 editions published between 1978 and 2006 in English and German and held by 588 WorldCat member libraries worldwide
24 editions published between 1978 and 2006 in English and German and held by 588 WorldCat member libraries worldwide
Mathematical vistas : from a room with many windows by
Peter Hilton(
Book
)
17 editions published between 2000 and 2011 in English and German and held by 512 WorldCat member libraries worldwide
Consists of nine related mathematical essays. This book is a sequel to "Mathematical Reflections"
17 editions published between 2000 and 2011 in English and German and held by 512 WorldCat member libraries worldwide
Consists of nine related mathematical essays. This book is a sequel to "Mathematical Reflections"
The teaching and learning of mathematics at university level : an ICMI study by
Derek Allan Holton(
)
29 editions published between 1899 and 2010 in English and held by 432 WorldCat member libraries worldwide
Annotation
29 editions published between 1899 and 2010 in English and held by 432 WorldCat member libraries worldwide
Annotation
The Petersen graph by
Derek Allan Holton(
Book
)
15 editions published between 1990 and 2004 in English and held by 343 WorldCat member libraries worldwide
The Petersen graph occupies an important position in the development of several areas of modern graph theory because it often appears as a counterexample to important conjectures. In this account, the authors examine those areas, using the prominent role of the Petersen graph as a unifying feature. Topics covered include: vertex and edge colourability (including snarks), factors, flows, projective geometry, cages, hypohamiltonian graphs, and 'symmetry' properties such as distance transitivity. The final chapter contains a potpourri of other topics in which the Petersen graph has played its part. Undergraduate students will be able to profit from reading this book as the prerequisites are few; thus it could be used for a second course in graph theory. On the other hand, the authors have also included a number of unsolved problems as well as topics of recent study. Thus it will also be useful as a reference for graph theorists
15 editions published between 1990 and 2004 in English and held by 343 WorldCat member libraries worldwide
The Petersen graph occupies an important position in the development of several areas of modern graph theory because it often appears as a counterexample to important conjectures. In this account, the authors examine those areas, using the prominent role of the Petersen graph as a unifying feature. Topics covered include: vertex and edge colourability (including snarks), factors, flows, projective geometry, cages, hypohamiltonian graphs, and 'symmetry' properties such as distance transitivity. The final chapter contains a potpourri of other topics in which the Petersen graph has played its part. Undergraduate students will be able to profit from reading this book as the prerequisites are few; thus it could be used for a second course in graph theory. On the other hand, the authors have also included a number of unsolved problems as well as topics of recent study. Thus it will also be useful as a reference for graph theorists
A first look at graph theory by
John Clark(
Book
)
25 editions published between 1991 and 2005 in English and held by 239 WorldCat member libraries worldwide
25 editions published between 1991 and 2005 in English and held by 239 WorldCat member libraries worldwide
A first step to Mathematical Olympiad problems by
Derek Allan Holton(
Book
)
11 editions published between 2010 and 2013 in English and held by 128 WorldCat member libraries worldwide
11 editions published between 2010 and 2013 in English and held by 128 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 122 WorldCat member libraries worldwide
10 editions published between 2011 and 2014 in English and held by 122 WorldCat member libraries worldwide
Graphentheorie Grundlagen und Anwendungen by John Clark(
Book
)
1 edition published in 1994 in German and held by 107 WorldCat member libraries worldwide
1 edition published in 1994 in German and held by 107 WorldCat member libraries worldwide
Research in collegiate mathematics education VII(
Book
)
5 editions published in 2010 in English and held by 93 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
5 editions published in 2010 in English and held by 93 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
Combinatorial Mathematics : Proceedings of the International Conference on Combinatorial Theory Canberra, August 1627, 1977 by
Derek Allan Holton(
)
2 editions published in 1978 in English and held by 76 WorldCat member libraries worldwide
2 editions published in 1978 in English and held by 76 WorldCat member libraries worldwide
Lighting mathematical fires 2 by
Derek Allan Holton(
Book
)
8 editions published in 2013 in English and held by 53 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 53 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
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 40 WorldCat member libraries worldwide
Problembased learning is a powerful alternative to drilland practice or skillsbased learning, especially within maths, but it can be difficult to source rich materials that engage an entire class. The Creative Activities in Mathematics series provides a wealth of investigations and openended active learning activities, designed to engage students with mathematics and develop their problem solving, collaboration and mathematical skills. Book Three provides nine different class activities suitable for students in lower and middle secondary school (Years 7 to 10), along with teaching notes and staged lesson plans. Each activity is a wholeclass investigation with openended answers that takes a particular scenario and develops it over four levels. This enables it to be used both at different year levels and with students of differing ability in the same class. All activities are firmly rooted in the Australian Curriculum: Mathematics and linked to the content descriptors of the Number and Algebra, Measurement and Geometry, and Statistics and Probability strands. The associated website provides links to additional information and problembased activities from around the web, along with student materials that can be copied or printed for class use. [Publisher website, ed]
4 editions published in 2015 in English and held by 40 WorldCat member libraries worldwide
Problembased learning is a powerful alternative to drilland practice or skillsbased learning, especially within maths, but it can be difficult to source rich materials that engage an entire class. The Creative Activities in Mathematics series provides a wealth of investigations and openended active learning activities, designed to engage students with mathematics and develop their problem solving, collaboration and mathematical skills. Book Three provides nine different class activities suitable for students in lower and middle secondary school (Years 7 to 10), along with teaching notes and staged lesson plans. Each activity is a wholeclass investigation with openended answers that takes a particular scenario and develops it over four levels. This enables it to be used both at different year levels and with students of differing ability in the same class. All activities are firmly rooted in the Australian Curriculum: Mathematics and linked to the content descriptors of the Number and Algebra, Measurement and Geometry, and Statistics and Probability strands. The associated website provides links to additional information and problembased activities from around the web, along with student materials that can be copied or printed for class use. [Publisher website, ed]
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 33 WorldCat member libraries worldwide
Problembased learning is a powerful alternative to drilland practice or skillsbased learning, especially within maths, but it can be difficult to source rich materials that engage an entire class. The Creative Activities in Mathematics series provides a wealth of investigations and openended active learning activities, designed to engage students with mathematics and develop their problemsolving, collaboration and mathematical skills. Book One provides 12 different class activities suitable for students in lower and middle primary school (Foundation to Year 4), along with teaching notes and staged lesson plans. Each activity is a wholeclass investigation with openended answers that takes a particular scenario and develops it over three levels. This enables it to be used both at different year levels and with students of differing ability in the same class. All activities are firmly based in the Australian Curriculum: Mathematics and linked to the content descriptors of the Number and Algebra, Measurement and Geometry, and Statistics and Probability strands
3 editions published in 2015 in English and held by 33 WorldCat member libraries worldwide
Problembased learning is a powerful alternative to drilland practice or skillsbased learning, especially within maths, but it can be difficult to source rich materials that engage an entire class. The Creative Activities in Mathematics series provides a wealth of investigations and openended active learning activities, designed to engage students with mathematics and develop their problemsolving, collaboration and mathematical skills. Book One provides 12 different class activities suitable for students in lower and middle primary school (Foundation to Year 4), along with teaching notes and staged lesson plans. Each activity is a wholeclass investigation with openended answers that takes a particular scenario and develops it over three levels. This enables it to be used both at different year levels and with students of differing ability in the same class. All activities are firmly based in the Australian Curriculum: Mathematics and linked to the content descriptors of the Number and Algebra, Measurement and Geometry, and Statistics and Probability strands
Problem solving : the creative side of mathematics by
Derek Allan Holton(
Book
)
5 editions published between 2010 and 2011 in English and held by 31 WorldCat member libraries worldwide
5 editions published between 2010 and 2011 in English and held by 31 WorldCat member libraries worldwide
Combinatorial mathematics II : proceedings of the second Australian conference [held at the University of Melbourne, 1973] by
Derek Allan Holton(
)
11 editions published between 1974 and 2006 in English and German and held by 30 WorldCat member libraries worldwide
11 editions published between 1974 and 2006 in English and German and held by 30 WorldCat member libraries worldwide
Creative activities in mathematics by
Derek Allan Holton(
Book
)
2 editions published in 2015 in English and held by 28 WorldCat member libraries worldwide
2 editions published in 2015 in English and held by 28 WorldCat member libraries worldwide
Lighting mathematical fires by
Derek Allan Holton(
Book
)
2 editions published between 1998 and 2001 in English and held by 28 WorldCat member libraries worldwide
2 editions published between 1998 and 2001 in English and held by 28 WorldCat member libraries worldwide
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Related Identities
 Pedersen, Jean
 Hilton, Peter 19232010 Author
 Park, Kyungmee 1965 Other Editor
 Leung, Frederick K. S. Author Editor
 Clarke, David 1952 Other Editor
 Seberry, Jennifer 1944 Editor
 Sheehan, J.
 Clark, John Author Creator
 Artigue, Michèle
 Mathematical Association Publisher
Useful Links
Associated Subjects
AlgebraStudy and teaching Australia Combinatorial analysis Education Geometry Global analysis (Mathematics) Graph theory International Mathematical Olympiad Mathematics MathematicsResearch MathematicsStudy and teaching MathematicsStudy and teaching (Elementary)Activity programs MathematicsStudy and teaching (Higher) MathematicsStudy and teaching (Primary) MathematicsStudy and teaching (Primary)Activity programs MathematicsStudy and teaching (Secondary) MathematicsStudy and teaching (Secondary)Activity programs MathematicsStudy and teachingActivity programs Number theory Petersen graphs Statistics
Covers
Alternative Names
Derek Allan Holton matemático neozelandês
Derek Allan Holton matematico neozelandese
Derek Allan Holton matemáticu neozelandés
Derek Allan Holton mathématicien néozélandais
Derek Holton matemàtic neozelandès
Holton, D.A.
Holton, D. A. 1941
Holton, D. A. (Darek Allan)
Holton, D. A. (Derek Allan), 1941
Holton, Derek.
Holton, Derek 1941
Holton, Derek A.
Holton, Derek A. 1941
Holton, Derek A. (Derek Allan), 1941
Holton, Derek Allan
Holton, Derek Allan 1941
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