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Learning Experiences To Promote Mathematics Learning

Author: Pee Choon Toh
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814612906
Size: 66.95 MB
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Ch. 1. It matters how students learn mathematics / Berinderjeet Kaur -- ch. 2. M_Crest: A framework of motivation to learn mathematics / Wong Khoon Yoong -- ch. 3. Designing learning experiences for effective instruction in secondary mathematics / Toh Tin Lam -- ch. 4. Providing students' authentic learning experience through 3D printing technology / Oh Nam Kwon, Jee Hyun Park, Jung Sook Park -- ch. 5. What do teachers need to know to teach secondary mathematics / Kim Beswick -- ch. 6. Defining, extending, and creating: Key experiences in mathematics / Yoshinori Shimizu -- ch. 7. Teaching for abstraction through mathematical learning experiences / Cheng Lu Pien -- ch. 8. Making sense of number sense: Creating learning experiences for primary pupils to develop their number sense / Yeo Kai Kow Joseph -- ch. 9. Learning experiences designed to develop algebraic thinking: Lessons from the ICCAMS project in England / Jeremy Hodgen, Dietmar Kuchenmann, Margaret Brown -- ch. 10. Learning experiences designed to develop multiplicative reasoning; using models to foster learners' understanding / Margaret Brown, Jeremy Hodgen, Dietmar Kuchemann -- ch. 11. Learning mathematical induction through experiencing authentic problem solving / Tay Eng Guan, Toh Pee Choon -- ch. 12. Scaffolding and constructing new problems for teaching mathematical proofs in the A-levels / Zhao Dongsheng -- ch. 13. Learning number in the primary school through ICT / Barry Kissane -- ch. 14. Learning algebra and geometry through ICT / Marian Kemp

Learning Experiences To Promote Mathematics Learning

Author: Pee Choon Toh
Publisher: World Scientific
ISBN: 9814612936
Size: 30.20 MB
Format: PDF
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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. Contents:It Matters How Students Learn Mathematics (Berinderjeet KAUR)M_Crest: A Framework of Motivation to Learn Mathematics (WONG Khoon Yoong)Designing Learning Experiences for Effective Instruction in Secondary Mathematics (TOH Tin Lam)Providing Students' Authentic Learning Experience Through 3D Printing Technology (Oh Nam KWON, Jee Hyun PARK and Jung Sook PARK)What Do Teachers Need to Know to Teach Secondary Mathematics (Kim BESWICK)Defining, Extending, and Creating: Key Experiences in Mathematics (Yoshinori SHIMIZU)Teaching for Abstraction through Mathematical Learning Experiences (CHENG Lu Pien)Making Sense of Number Sense: Creating Learning Experiences for Primary Pupils to Develop Their Number Sense (YEO Kai Kow Joseph)Learning Experiences Designed to Develop Algebraic Thinking: Lessons From the ICCAMS Project in England (Jeremy HODGEN, Dietmar KÜCHEMANN and Margaret BROWN)Learning Experiences Designed to Develop Multiplicative Reasoning; Using Models to Foster Learners' Understanding (Margaret BROWN, Jeremy HODGEN and Dietmar KÜCHEMANN)Learning Mathematical Induction Through Experiencing Authentic Problem Solving (TAY Eng Guan and TOH Pee Choon)Scaffolding and Constructing New Problems for Teaching Mathematical Proofs in the A-Levels (ZHAO Dongsheng)Learning Number in the Primary School Through ICT (Barry KISSANE)Learning Algebra and Geometry Through ICT (Marian KEMP) Readership: Graduate students, researchers, practitioners and teachers in mathematics. Key Features:Firstly it has a focused theme: Learning Experiences that Promote Mathematics Learning, which is of prime concern of mathematics educators in the 21st centurySecondly it is written by university scholars who work closely with classroom mathematics teachers thereby drawing on their research knowledge and classroom experiencesLastly, the book is rich resource, of tried and tested practical know-how of approaches that promote mathematics learning, for mathematics educators in Singapore schools and elsewhereKeywords:Mathematics;Pedagogy;Learning Experiences;Singapore;Teachers;Instruction

Professional Development Of Mathematics Teachers

Author: Berinderjeet Kaur
Publisher: Springer
ISBN: 9811025983
Size: 68.96 MB
Format: PDF, Mobi
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This book offers a counterpart to the extensive corpus of literature available on the same topic from a Western perspective. It showcases innovative approaches to professional development of mathematics teachers in Asian countries, and reports on both empirical and expository studies of teachers’ professional development in these counties. It provides scholars from non-English-speaking and under-represented Asian countries the opportunity to engage in discourse with other scholars in the field, and is the first book to present substantial contributions from scholars in Asia on the professional development of mathematics teachers in their respective countries. It includes perspectives that shed valuable light on how the approaches pursued in Asian countries resemble or differ from those in the West.

Mathematics Instruction Goals Tasks And Activities Yearbook 2018 Association Of Mathematics Educators

Author: Toh Pee Choon
Publisher: World Scientific
ISBN: 981327168X
Size: 51.79 MB
Format: PDF, Docs
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The book, the tenth volume in the series of yearbooks by the Association of Mathematics Educators in Singapore, comprises 14 chapters written by renowned researchers in mathematics education. The chapters offer mathematics teachers a cache of teaching ideas and resources for classroom instruction. Readers will find various task design principles, examples of mathematical tasks used in classrooms and teaching approaches to implement the tasks. Through these discussions, readers are invited to reflect and rethink their beliefs about mathematics teaching and learning in the 21st century, and reexamine the tasks and activities that they use in the classroom, in order to bring about positive impact on students' learning of mathematics. This book contributes towards literature in the field of mathematics education, specifically on mathematics instruction and the design of mathematical tasks and activities. Contents: Tasks and Activities in the Mathematics Classroom (Boon Liang CHUA and Pee Choon TOH) From Task to Activity: Noticing Affordances, Design, and Orchestration (CHOY Ban Heng) Affordances of Typical Problems (Jaguthsing DINDYAL) Mathematical Tasks Enacted by Two Competent Teachers to Facilitate the Learning of Vectors by Grade Ten Students (Berinderjeet KAUR, Lai Fong WONG and Chong Kiat CHEW) Use of Comics and Its Adaptation in the Mathematics Classroom (TOH Tin Lam, CHAN Chun Ming Eric, CHENG Lu Pien, LIM Kam Ming and LIM Lee Hean) Designing and Implementing Scientific Calculator Tasks and Activities (Barry KISSANE) Engaging the Hearts of Mathematics Learners (Joseph B W YEO) Developing Interaction Toward the Goal of the Lesson in a Primary Mathematics Classroom (Keiko HINO) Designing and Implementing Activities in the Flipped Classroom in the Singapore Primary Mathematics Classroom (CHENG Lu Pien, NG Swee Fong, TAN Bee Kian Jasmine Susie and NG Ee Noch) Designing Mathematical Modelling Activities for the Primary Mathematics Classroom (Chun Ming Eric CHAN, Rashidah VAPUMARICAN and Huanjia Tracy LIU) Extending d104book Exercises into Short Open-Ended Tasks for Primary Mathematics Classroom Instruction (YEO Kai Kow Joseph) Integrating Problem Posing into Mathematical Problem Solving: An Experimental Study (JIANG Chunlian and CHUA Boon Liang) A Vicennial Walk Through 'A' Level Mathematics in Singapore: Reflecting on the Curriculum Leadership Role of the JC Mathematics Teacher (Weng Kin HO and Christina RATNAM-LIM) Probability: Theory and Teaching (YAP Von Bing) Readership: Graduate students, researchers, practitioners and teachers in mathematics. Keywords: Mathematics;Instruction;Task Design;Singapore;Teachers;InstructionReview: Key Features: Firstly it has a focused theme: Mathematics instruction and task design, which is of prime concern to mathematics educators Secondly it is written by university scholars who work closely with classroom mathematics teachers thereby drawing on their research knowledge and classroom experiences Lastly, the book is rich resource, of tried and tested practical know-how of approaches that promote mathematics learning, for mathematics educators in Singapore schools and elsewhere

Developing 21st Century Competencies In The Mathematics Classroom

Author: Pee Choon Toh
Publisher: World Scientific
ISBN: 9813143630
Size: 75.25 MB
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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. Contents:21st Century Competencies in Mathematics Classrooms (Pee Choon TOH & Berinderjeet KAUR)Mathematics Education, Virtues and 21st Century Competencies (Stephen THORNTON)Enriching Secondary Mathematics Education with 21st Century Competencies (WONG Khoon Yoong)Mathematics in 21st Century Life (Barry KISSANE)Mathematics Subject Mastery — A Must for Developing 21st Century Skills (Berinderjeet KAUR, WONG Lai Fong & Divya BHARDWAJ)Teaching in the 21st Century Mathematics Classroom: Metacognitive Questioning (Cynthia SETO)Listening and Responding to Children's Reflective Thinking: Two Case Studies on the Use of the National Assessment in Japan (Keiko HINO)Using Open-Ended Tasks to Foster 21st Century Learners at the Primary Level (YEO Kai Kow Joseph)Productive Talk in the Primary Mathematics Classroom (KOAY Phong Lee)Justification in Singapore Secondary Mathematics (CHUA Boon Liang)Examples in the Teaching of Mathematics: Teachers' Perceptions (Lay Keow NG & Jaguthsing DINDYAL)On the Efficacy of Flipped Classroom: Motivation and Cognitive Load (Weng Kin HO & Puay San CHAN)Use of Comics and Storytelling in Teaching Mathematics (TOH Tin Lam, CHENG Lu Pien, JIANG Heng & LIM Kam Ming)Game Theory: An Alternative Mathematical Experience (Ein-Ya GURA) Readership: Graduate students, researchers, practitioners and teachers in mathematics.

Co Operative Action

Author: Charles Goodwin
Publisher: Cambridge University Press
ISBN: 0521866332
Size: 14.13 MB
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This book investigates how language, embodiment, objects, and settings in historically shaped communities combine, and form human actions.

Visuospatial Reasoning

Author: Kay Owens
Publisher: Springer
ISBN: 3319024639
Size: 21.26 MB
Format: PDF
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This book develops the theoretical perspective on visuospatial reasoning in ecocultural contexts, granting insights on how the language, gestures, and representations of different cultures reflect visuospatial reasoning in context. For a number of years, two themes in the field of mathematics education have run parallel with each other with only a passing acquaintance. These two areas are the psychological perspective on visuospatial reasoning and ecocultural perspectives on mathematics education. This volume examines both areas of research and explores the intersection of these powerful ideas. In addition, there has been a growing interest in sociocultural aspects of education and in particular that of Indigenous education in the field of mathematics education. There has not, however, been a sound analysis of how environmental and cultural contexts impact visuospatial reasoning, although it was noted as far back as the 1980s when Alan Bishop developed his duality of visual processing and interpreting visual information. This book provides this analysis and in so doing not only articulates new and worthwhile lines of research, but also uncovers and makes real a variety of useful professional approaches in teaching school mathematics. With a renewed interest in visuospatial reasoning in the mathematics education community, this volume is extremely timely and adds significantly to current literature on the topic.

Frontiers In Sociology Of Education

Author: Maureen T. Hallinan
Publisher: Springer Science & Business Media
ISBN: 9789400715769
Size: 53.16 MB
Format: PDF
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Scholarly analysis in the sociology of education has burgeoned in recent decades. Frontiers in Sociology of Education aims to provide a roadmap for sociologists and other social scientists as they set bold new directions for future research on schools. In Part 1 of this forward-looking volume, the authors present cutting-edge research to set new guidelines for the sociological analysis of schools. In Part 2, notable social scientists, historians, administrators and educators provide a wide-ranging array of perspectives on contemporary education to insure that scholars make creative and broadly informed contributions to the sociological analysis of schools. The contributors to this volume examine events currently influencing education including: globalization, expansion of educational access, the changing significance of religion, new family structures, and curriculum reform. Frontiers in Sociology of Education offers an innovative collection of research and ideas aimed at inspiring new analyses of schools better linked to changing societal conditions.

Probability And Expectation

Author: Zun Shan
Publisher: World Scientific Publishing Company
ISBN: 9813141514
Size: 34.21 MB
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In China, lots of excellent students who are good at maths take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year. The author is one of the senior coaches of China's IMO National Team, whose students have won many gold medals many times in IMO. This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. This book will, in an interesting problem-solving way, explain what probability theory is: its concepts, methods and meanings; particularly, two important concepts — probability and mathematical expectation (briefly expectation) — are emphasized. It consists of 65 problems, appended by 107 exercises and their answers.

Nurturing Reflective Learners In Mathematics

Author: Berinderjeet Kaur
Publisher: World Scientific
ISBN: 981447276X
Size: 80.21 MB
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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.