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Book Developing the Repertoire of Heuristics for Mathematical Problem Solving

Download or read book Developing the Repertoire of Heuristics for Mathematical Problem Solving written by John G. Hedberg and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical problem solving (MPS) is at the centre of the Singapore Mathematics programme's framework. How has the programme been integrated into the school system? This study investigates three aspects: teachers' classroom practices, students' problem-solving heuristics, and students' metacognitive behaviours in paired problem solving. "--[page 1] of executive summary.

Book Nurturing Reflective Learners in Mathematics

Download or read book Nurturing Reflective Learners in Mathematics written by Berinderjeet Kaur and published by World Scientific. This book was released on 2013 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This annual volume focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reflection among students and teachers in mathematics classrooms. Published jointly with the Association of Mathematics Educators in Singapore.

Book Problem Solving in Mathematics Education

Download or read book Problem Solving in Mathematics Education written by Peter Liljedahl and published by Springer. This book was released on 2016-06-27 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

Book Posing and Solving Mathematical Problems

Download or read book Posing and Solving Mathematical Problems written by Patricio Felmer and published by Springer. This book was released on 2016-04-29 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Book Mathematics Education in Singapore

Download or read book Mathematics Education in Singapore written by Tin Lam Toh and published by Springer. This book was released on 2019-02-07 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Effective Mathematics Lessons Through An Eclectic Singapore Approach  Yearbook 2015  Association Of Mathematics Educators

Download or read book Effective Mathematics Lessons Through An Eclectic Singapore Approach Yearbook 2015 Association Of Mathematics Educators written by Khoon Yoong Wong and published by World Scientific. This book was released on 2015-05-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this seventh volume, as part of the series of yearbooks by the Association of Mathematics Educators in Singapore, we aim to provide a range of learning experiences and teaching strategies that mathematics teachers can judiciously select and adapt in order to deliver effective lessons to their students at the primary to secondary level. Our ultimate goal is to develop successful problem solvers who are able to understand concepts, master fundamental skills, reason logically, apply mathematics, enjoy learning, and strategise their thinking. These qualities will prepare students for life-long learning and careers in the 21st century.The materials covered are derived from psychological theories, education praxis, research findings, and mathematics discourse, mediated by the author's professional experiences in mathematics education in four countries over the past four decades. They are organised into ten chapters aligned with the Singapore mathematics curriculum framework to help teachers and educators from Singapore and other countries deepen their understanding about the so-called 'Singapore Maths'.The book strikes a balance between mathematical rigour and pedagogical diversity, without rigid adherence to either. This is relevant to the current discussion about the relative roles of mathematics content knowledge and pedagogical content knowledge in effective teaching. It also encourages teachers to develop their own philosophy and teaching styles so that their lessons are effective, efficient, and enjoyable to teach.

Book Developing 21st Century Competencies In The Mathematics Classroom  Yearbook 2016  Association Of Mathematics Educators

Download or read book Developing 21st Century Competencies In The Mathematics Classroom Yearbook 2016 Association Of Mathematics Educators written by Pee Choon Toh and published by World Scientific. This book was released on 2016-05-20 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to contribute towards literature in the field of mathematics education, specifically the development of 21st century competencies amongst learners of mathematics.The book comprising fourteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to foster skills and dispositions that will enable learners to thrive in the fast-changing and complex world that we live in today.The chapters in the book can be classified into three broad themes. The first is an examination of what is meant by 21st century competencies and how they can be developed within the context of the mathematics curriculum. The second is an in-depth discussion of evidence-based practices aimed at fostering specific competencies like metacognition and reflective thinking, critical thinking and communication skills. The last and third theme is about teaching approaches that are likely to feature increasingly in the 21st century classroom, for example flipped learning or the use of comics and storytelling.

Book Assessment in the Mathematics Classroom

Download or read book Assessment in the Mathematics Classroom written by Berinderjeet Kaur and published by World Scientific. This book was released on 2011 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. 1. Introduction : Assessment matters / Wong Khoon Yoong, Berinderjeet Kaur -- ch. 2. Using a multi-dimensional approach to understanding to assess students' mathematical knowledge / Denisse R. Thompson, Berinderjeet Kaur -- ch. 3. Assessing problem solving in the mathematics curriculum : A new approach / Toh Tin Lam [und weitere] -- ch. 4. Assessing conceptual understanding in mathematics with concept mapping / Jin Haiyue, Wong Khoon Yoong -- ch. 5. Using journal writing to empower learning / Berinderjeet Kaur, Chan Chun Ming Eric -- ch. 6. Implementing alternative assessment in the lower primary mathematics classroom / Yeo Kai Kow Joseph -- ch. 7. Open-ended tasks and assessment : The nettle or the rose / David J. Clarke -- ch. 8. Using ICT to improve assessment / Marja van den Heuvel-Panhuizen, Angeliki Kolovou, Marjolijn Peltenburg -- ch. 9. The assessment for, of and as learning in mathematics : The application of SLOA / Magdalena Mo Ching Mok -- ch. 10. Building bridges between large-scale external assessment and mathematics classrooms : A Japanese perspective / Yoshinori Shimizu -- ch. 11. Errors in mathematics assessment items written by pre-service teachers / Jaguthsing Dindyal -- ch. 12. Affective assessment in the mathematics classroom : A quick start / Tay Eng Guan, Quek Khiok Seng, Toh Tin Lam -- ch. 13. Implementing self-assessment to develop reflective teaching and learning in mathematics / Lianghuo Fan

Book The First Sourcebook on Asian Research in Mathematics Education   2 Volumes

Download or read book The First Sourcebook on Asian Research in Mathematics Education 2 Volumes written by Bharath Sriraman and published by IAP. This book was released on 2015-08-01 with total page 1800 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.

Book Mathematical Modelling  From Theory To Practice

Download or read book Mathematical Modelling From Theory To Practice written by Ngan Hoe Lee and published by World Scientific. This book was released on 2015-01-19 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the journey undertaken by educators from the Mathematics and Mathematics Education (MME) Academic Group in the National Institute of Education (NIE) and Singapore schools during a Mathematical Modelling Outreach (MMO) event in June 2010 under the guidance of renowned experts in the field of mathematical modelling. The main goal of MMO was to reach out to Singapore primary and secondary schools and introduce the potentials of mathematical modelling as a platform for eliciting mathematical thinking, communication, and reasoning among students. This book contributes to the expanding literature on mathematical modelling by offering voices from the Singaporean context. It suggests how theoretical perspectives on mathematical modelling can be transformed into actual practice in schools, all within the existing infrastructure of the current Singapore mathematics curriculum. More importantly, the book provides documentary evidence on how plans put in place through MMO in 2010 have since been realised.The publication of this book is hence timely at this juncture. Not only does the book record how MMO was among the first pebbles launched into the pond, it also serves as a bridge over which educators can stand upon to view how the ripple effect had developed from the initial MMO pebble and the directions it may continue to extend. Perhaps in the process, other ripples in the teaching, learning, and research of mathematical modelling can be created.

Book Abstracts of The First Sourcebook on Asian Research in Mathematics Education

Download or read book Abstracts of The First Sourcebook on Asian Research in Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2013-04-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.

Book Nurturing Reflective Learners In Mathematics  Yearbook 2013  Association Of Mathematics Educators

Download or read book Nurturing Reflective Learners In Mathematics Yearbook 2013 Association Of Mathematics Educators written by Berinderjeet Kaur and published by World Scientific. This book was released on 2013-03-14 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore entitled Nurturing Reflective Learners in Mathematics is unique in that it focuses on a single theme in mathematics education. The objective is to encourage teachers and researchers to advance reflection among students and teachers in mathematics classrooms.Several renowned international and Singapore researchers in the field have published their work in this volume. The fifteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three broad themes, namely fundamentals, instructional tools, and approaches to teaching for nurturing reflective learners in mathematics classrooms, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students.

Book Assessment In The Mathematics Classroom  Yearbook 2011  Association Of Mathematics Educators

Download or read book Assessment In The Mathematics Classroom Yearbook 2011 Association Of Mathematics Educators written by Berinderjeet Kaur and published by World Scientific. This book was released on 2011-05-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third in the series of yearbooks by the Association of Mathematics Educators in Singapore, Assessment in the Mathematics Classroom is unique as it addresses a focused theme on mathematics education. The objective is to encourage teachers and researchers to include assessment of non-cognitive attributes and to use techniques in addition to paper-and-pencil tests that focus on typical problems.Several renowned international researchers in the field have published their work in the book. The thirteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment in their lessons to bring about meaningful learning outcomes. A recurring theme in most chapters is the widely circulated notions of formative assessment and assessment for learning. The book makes a significant contribution towards assessment in mathematics. It is a good resource for research students and a must-read mathematics educators.

Book Methods of Heuristics

Download or read book Methods of Heuristics written by R. Groner and published by Routledge. This book was released on 2014-07-10 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the edited proceedings of an interdisciplinary symposium on Methods of Heuristics, which was held at the University of Bern, Switzerland, from September 15 to 19, 1980. In organizing the symposium, the editors of the present volume were able to invite specialists from psychology, computer science, and mathematics. From their own perspective they made contributions to the central questions of the conference: What are heuristics, the methods and rules guiding discovery and problem solving in a variety of different fields? How did they develop in individual human beings and in the history of science? Is it possible to arrive at a commonly accepted definition of heuristics as the field unifying all these efforts, and, if yes, what are its basic characteristics?

Book Learning Experiences To Promote Mathematics Learning  Yearbook 2014  Association Of Mathematics Educators

Download or read book Learning Experiences To Promote Mathematics Learning Yearbook 2014 Association Of Mathematics Educators written by Pee Choon Toh and published by World Scientific. This book was released on 2014-05-27 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sixth volume, in the series of yearbooks by the Association of Mathematics Educators in Singapore, entitled Learning Experiences to Promote Mathematics Learning is unique in that it focuses on a single theme in mathematics education. The objective is for teachers and researchers to advance the learning of mathematics through meaningful experiences.Several renowned international and Singapore scholars have published their work in this volume. The fourteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment with in their own classrooms to bring about meaningful learning outcomes. Three broad themes, namely fundamentals for active and motivated learning, learning experiences for developing mathematical processes, and use of ICT tools for learning through visualizations, simulations and representations, shape the ideas in these chapters. The book makes a significant contribution towards the learning of mathematics. It is a good resource for mathematics teachers, educators and research students.