This book provides a one-stop resource for mathematics educators, policy makers and all who are interested in learning more about the why, what and how of mathematics education in Singapore. The content is organized according to three significant and closely interrelated components: the Singapore mathematics curriculum, mathematics teacher education and professional development, and learners in Singapore mathematics classrooms. Written by leading researchers with an intimate understanding of Singapore mathematics education, this up-to-date book reports the latest trends in Singapore mathematics classrooms, including mathematical modelling and problem solving in the real-world context.

This edited volume explores key areas of interests in Singapore math and science education including issues on teacher education, pedagogy, curriculum, assessment, teaching practices, applied learning, ecology of learning, talent grooming, culture of science and math, vocational education and STEM. It presents to policymakers and educators a clear picture of the education scene in Singapore and insights into the role of math and science education in helping the country excel beyond international studies such as PISA, the pedagogical and curricula advancements in math and science learning, and the research and practices that give Singaporean students the competitive edge in facing the uncertain and challenging landscape of the future.

This edited volume explores key areas of interests in Singapore math and science education including issues on teacher education, pedagogy, curriculum, assessment, teaching practices, applied learning, ecology of learning, talent grooming, culture of science and math, vocational education and STEM. It presents to policymakers and educators a clear picture of the education scene in Singapore and insights into the role of math and science education in helping the country excel beyond international studies such as PISA, the pedagogical and curricula advancements in math and science learning, and the research and practices that give Singaporean students the competitive edge in facing the uncertain and challenging landscape of the future.

A boy staring at ants suddenly thinks of a fun but difficult Maths problem. How long will it take the ants to fall off the stick he's looking at, if they keep bumping into each other and changing directions? Does this sound impossible to solve? It isn't! Read on to find out the boy's ingenious solution!The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Guide to Problem-solving by Yeap Ban Har!

When Miss Cheryl the teacher cheekily sets an IQ puzzle for her student's parents, her student is delighted to find that her parents are able to solve it quickly. But, how did they do it? Let's find out!The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Guide to Problem-solving by Yeap Ban Har!

A compassionate girl offers to help a prince in distress! The prince wants to save his princess who is under the curse of a wicked witch. The curse is in the form of an intriguing Maths puzzle that will end up taking the wits of both the girl and the prince to solve. Will they be able to do it in time?The I'm a Math Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Guide to Problem-solving by Yeap Ban Har!

This book is the essential companion to Counting (2nd Edition) (World Scientific, 2013), an introduction to combinatorics for secondary to undergraduate students. The book gives solutions to the exercises in Counting (2nd Edition). There is often more than one method to solve a particular problem and the authors have included alternative solutions whenever they are of interest. The rigorous and clear solutions will aid the reader in further understanding the concepts and applications in Counting (2nd Edition). An introductory section on problem solving as described by George P lya will be useful in helping the lay person understand how mathematicians think and solve problems.

This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills.New chapters originally from a supplementary book have been added in this edition to substantially increase the coverage of counting techniques. The new chapters include the Principle of Inclusion and Exclusion, the Pigeonhole Principle, Recurrence Relations, the Stirling Numbers and the Catalan Numbers. A number of new problems have also been added to this edition.

A boy staring at ants suddenly thinks of a fun but difficult Maths problem. How long will it take the ants to fall off the stick he's looking at, if they keep bumping into each other and changing directions? Does this sound impossible to solve? It isn't! Read on to find out the boy's ingenious solution!The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Guide to Problem-solving by Yeap Ban Har!

When Miss Cheryl the teacher cheekily sets an IQ puzzle for her student's parents, her student is delighted to find that her parents are able to solve it quickly. But, how did they do it? Let's find out!The I'm a Maths Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Guide to Problem-solving by Yeap Ban Har!

A compassionate girl offers to help a prince in distress! The prince wants to save his princess who is under the curse of a wicked witch. The curse is in the form of an intriguing Maths puzzle that will end up taking the wits of both the girl and the prince to solve. Will they be able to do it in time?The I'm a Math Star! series comprises challenging Maths puzzles, presented in story form. Puzzles are described and then solved, step-by-step, through an engaging storyline, and using various Maths heuristic techniques that are also taught as part of the world-renowned Singapore Maths curriculum. Through illustrations and an engaging storyline, children will learn Maths heuristics, and be inspired to persevere in understanding, representing, and solving fun and intriguing Maths problems!Includes a Guide to Problem-solving by Yeap Ban Har!

This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.

This book is an expansion of our first book Introduction to Graph Theory: H3 Mathematics. While the first book was intended for capable high school students and university freshmen, this version covers substantially more ground and is intended as a reference and textbook for undergraduate studies in Graph Theory. In fact, the topics cover a few modules in the Graph Theory taught at the National University of Singapore. The reader will be challenged and inspired by the material in the book, especially the variety and quality of the problems, which are derived from the authors' years of teaching and research experience.

The book Making Mathematics Practical (published by World Scientific in 2011) proposes a new paradigm in teaching problem solving in secondary school mathematics classrooms. It is a report of the research project "Mathematical Problem Solving for Everyone" (MProSE), which attempts to provide all the necessary resources for teachers to teach problem solving in schools. This book reports as a follow-up on the actual enactment of the proposed MProSE problem solving curriculum in five Singapore schools. The experimental schools, which span across the entire spectrum of all Singapore secondary schools, report how they tweak the MProSE proposal to fit into their school curriculum, together with issues, challenges and success stories in implementing such an innovative curriculum in Singapore schools. It is an ideal handbook for educators who believe in problem solving as the core of mathematics curriculum and who wish to implement such an approach in their schools.

This book in its Second Edition is a useful, attractive introduction to basic counting techniques for upper secondary to undergraduate students, as well as teachers. Younger students and lay people who appreciate mathematics, not to mention avid puzzle solvers, will also find the book interesting. The various problems and applications here are good for building up proficiency in counting. They are also useful for honing basic skills and techniques in general problem solving. Many of the problems avoid routine and the diligent reader will often discover more than one way of solving a particular problem, which is indeed an important awareness in problem solving. The book thus helps to give students an early start to learning problem-solving heuristics and thinking skills.New chapters originally from a supplementary book have been added in this edition to substantially increase the coverage of counting techniques. The new chapters include the Principle of Inclusion and Exclusion, the Pigeonhole Principle, Recurrence Relations, the Stirling Numbers and the Catalan Numbers. A number of new problems have also been added to this edition.

This book is the first of its kind, as it includes both mathematics content and pedagogy. It is a professional instructional manual on how mathematical problem solving curriculum can be implemented in the classrooms. The book develops from the theoretical work of Polya and Schoenfeld, and explicates how these can be translated to the actual implementation in schools. It represents the work of a group of researchers from the Singapore National Institute of Education, after experimenting with it in the Singapore school classrooms.

This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book. In addition, the book includes an assessment framework on how mathematical problem solving can be assessed.