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Learning Experiences To Promote Mathematics Learning

Author: Pee Choon Toh
Publisher: World Scientific
ISBN: 9814612936
Size: 62.48 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

Learning Experiences To Promote Mathematics Learning

Author: Pee Choon Toh
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814612906
Size: 67.94 MB
Format: PDF, ePub, Mobi
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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

Empowering Mathematics Learners Yearbook 2017 Association Of Mathematics Educators

Author: Kaur Berinderjeet
Publisher: World Scientific
ISBN: 9813224231
Size: 50.44 MB
Format: PDF, Docs
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This book contributes towards the literature in the field of mathematics education, specifically on aspects of empowering learners of mathematics. The book, comprising eighteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to empower learners of mathematics. The chapters in the book can be classified into four sections. The four sections focus on how learners could be empowered in their learning, cognitive and affective processes, through mathematical content, purposefully designed mathematical tasks, whilst developing 21st century competencies. Contents: Empowering Mathematics Learners (Berinderjeet Kaur & Lee Ngan Hoe)Empowering Learning in an Algebra Class: The Case of Expansion and Factorisation (Chua Boon Liang)Facilitating Students' Mathematical Noticing (Tan Liang Soon & Hang Kim Hoo)Empowering Junior College Students through the Educational Use of Graphics Calculators (Barry Kissane)Understanding Future Teachers' Mathematical Knowing to Overcome Double Discontinuities (Hyungmi Cho & Oh Nam Kwon)Developing Student Voice in the Mathematics Classroom (Glenda Anthony & Roberta Hunter)Empowering Mathematics Learners through Effective Memory Strategies (Wong Khoon Yoong)Empower Primary School Pupils to Use Representations to Solve Process Problems (Yeo Kai Kow Joseph)Empowering Mathematics Learners with Metacognitive Strategies in Problem Solving (Loh Mei Yoke & Lee Ngan Hoe)Mathematical Problem Solving: An Approach to Empowering Students in the Mathematics Classroom (Toh Tin Lam)Empowering Mathematics Learners through Exploratory Tasks (Ariyadi Wijaya)Use of Open and Guided Investigative Tasks to Empower Mathematics Learners (Joseph B W Yeo)Using Representations to Develop Mathematical Thinking (Palanisamy K Veloo & Parmjit Singh)Empowering Teachers to Use Open-Ended Real-World Tasks in Primary Mathematics Classrooms (Ng Kit Ee Dawn)ACISK Framework — A Tool for Empowering Mathematics Learners to be Self-Directed (Wong Lai Fong & Berinderjeet Kaur)Empowering Students through Inquiry (Steve Thornton)Developing Self-Regulated Learners in the Primary Mathematics Classroom (Cheng Lu Pien & Teong Ying Xi Theodora)Empowering Students' Learning through Mathematical Modelling (Chun Ming Eric Chan, Rashidah Vapumarican, Kaiwen Vanessa Oh, Huanjia Tracey Liu & Yew Hwee Seah) Readership: Graduate students, researchers, practitioners and teachers in mathematics.

Professional Development Of Mathematics Teachers

Author: Berinderjeet Kaur
Publisher: Springer
ISBN: 9811025983
Size: 68.64 MB
Format: PDF, Kindle
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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: 51.59 MB
Format: PDF, Mobi
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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

Lesson Study

Author: Maitree Inprasitha
Publisher: World Scientific
ISBN: 9814641081
Size: 46.19 MB
Format: PDF, Docs
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Classroom Innovations through Lesson Study is an APEC EDNET (Asia-Pacific Economic Cooperation Education Network) project that aims to improve the quality of education in the area of mathematics. This book includes challenges of lesson study implementation from members of the APEC economies. Lesson study is one of the best ways to improve the quality of teaching. It is a model approach for improvement of teacher education across the globe. This book focuses on mathematics education, teacher education, and curriculum implementation and reforms. Contents:The Role of Lesson Study in Overcoming Challenges in Mathematics Education:Mathematics Education for the Knowledge-Based Society (Alan J Bishop)Mathematical Thinking for Classroom Decision Making (Kaye Stacey)Setting Lesson Study within a Long-Term Framework of Learning (David Tall)Lesson Study: An Essential Process for Improving Mathematics Teaching and Learning (Akihiko Takahashi)Comparative Study of Mathematics Classrooms — What can be Learned from the TIMSS 1999 Video Study? (Frederick K S Leung)The Science of Lesson Study in the Problem Solving Approach (Masami Isoda)Preparing Ground for the Introduction of Lesson Study in Thailand (Maitree Inprasitha)Perspectives on Lesson Study and Professional Development:History of Lesson Study to Develop Good Practices in Japan (Shizumi Shimizu & Kimiho Chino)What have We Learned about Lesson Study Outside Japan? (Catherine Lewis)Enhancing Mathematics Teachers' Professional Development through Lesson Study ~ A Case Study in Singapore ~ (Ban-Har Yeap, Peggy Foo & Poh Suan Soh)Using Lesson Study to Develop an Approach to Problem Solving: Adding and Subtracting Fractions (Kazuyoshi Okubo & Hiroko Tsuji)Prospective Teacher Education in Mathematics through Lesson Study (Maitree Inprasitha)In-service Teacher Education in Mathematics through Lesson Study (Soledad A Ulep)Lesson Study for Illustrating Innovative Approaches in the Classroom:Transforming Education through Lesson Study: Thailand's Decade-Long Journey (Maitree Inprasitha)Mathematics Teachers Professional Development through Lesson Study in Indonesia (Marsigit)Lesson Study in Chile (Grecia Gálvez)Initiating Lesson Study to Promote Good Practices: A Malaysian Experience (Chap Sam Lim & Chin Mon Chiew)Using Lesson Study as a Means to Innovation for Teaching and Learning Mathematics in Vietnam: Research Lesson on the Property of the Three Medians in a Triangle (Tran Vui)Lesson Study in Singapore: A Case of Division with Remainder in a Third Grade Mathematics Classroom (Yanping Fang & Christine Kim Eng Lee)Enabling Teachers to Introduce Innovations in the Classroom through Lesson Study (Soledad A Ulep)What is a Good Lesson in Japan? An Analysis (Takeshi Miyakawa)Using Lesson Study to Connect Procedural Knowledge with Mathematical Thinking (Patsy Wang-Iverson & Marian Palumbo) Readership: Mathematics educators of teacher training colleges, mathematics teachers, prospective teachers (elementary and secondary school) and undergraduate students in mathematics. Key Features:Presents the world reform movement by top researchersIncludes the challenges of lesson study and videos of model lessons in the world (lesson videos will be available on the website: http://www.criced.tsukuba.ac.jp/math/apec)Includes the Japanese teaching methods called “problem-solving approaches”Keywords:Lesson Study;Mathematics;Mathematics Education;Elementary School;Secondary School;Open-Ended Approach;Problem Solving;Teacher Education;Pedagogical Content Knowledge;Action Research;Lesson Videos;Curriculum Standards

Developing 21st Century Competencies In The Mathematics Classroom

Author: Pee Choon Toh
Publisher: World Scientific
ISBN: 9813143630
Size: 26.44 MB
Format: PDF, ePub, Docs
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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.

Assessment In Mathematics Education

Author: Christine Suurtamm
Publisher: Springer
ISBN: 3319323946
Size: 66.77 MB
Format: PDF
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This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education.

Adding It Up

Author: National Research Council
Publisher: National Academies Press
ISBN: 9780309132848
Size: 61.24 MB
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Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.

Principles And Standards For School Mathematics

Author: National Council of Teachers of Mathematics
Publisher: National Council of Teachers of
ISBN: 9780873534802
Size: 35.46 MB
Format: PDF, Docs
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CD-ROM contains: Full text document -- E-examples -- Search engine -- Enhanced navigation -- NCTM's previous Standards documents -- Illuminaitons and links to other resources.