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Mathematics Teacher Noticing: Seeing Through Teachers' Eyes (Studies in Mathematical Thinking and Learning Series)
by Miriam Gamoran Sherin Victoria R. Jacobs Randolph A. PhilippMathematics Teacher Noticing is the first book to examine research on the particular type of noticing done by teachers---how teachers pay attention to and make sense of what happens in the complexity of instructional situations. In the midst of all that is happening in a classroom, where do mathematics teachers look, what do they see, and what sense do they make of it? This groundbreaking collection begins with an overview of the construct of noticing and the various historical, theoretical, and methodological perspectives on teacher noticing. It then focuses on studies of mathematics teacher noticing in the context of teaching and learning and concludes by suggesting links to other constructs integral to teaching. By collecting the work of leaders in the field in one volume, the editors present the current state of research and provide ideas for how future work could further the field.
Mathematics Teacher Preparation in Central America and the Caribbean
by Angel RuizThis book is an excellent synthesis of the initial and continuing preparation for Mathematics Teaching in Colombia, Costa Rica, Dominican Republic and Venezuela, from which comparative analyses can be made that show similarities and differences, and highlight various perspectives. In August 2012, a workshop of the Capacity and Networking Project (CANP) of the International Commission on Mathematical Instruction (ICMI) was held in Costa Rica. This CANP brought together for two weeks a group of 66 Mathematics educators, mathematicians, university administrators, and elementary and secondary teachers from Colombia, Venezuela, the Dominican Republic, Panam#65533; and Costa Rica. The goal was to promote progress in Mathematics Education in the region; as such it was a unique experience in the region. One of the most important results of this event was the creation of the Mathematics Education Network of Central America and the Caribbean (REDUMATE). It was organized by persons associated with the Mathematics Education Reform Project in Costa Rica (responsible for the most outstanding and innovative curriculum reform in Latin America) and the Inter-American Committee on Mathematics Education (IACME), which is an official regional multinational organization affiliate of ICMI. This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four countries of a region within the heart of the American continent, a region that has been many times forgotten. The dissemination of these results can promote the search for international collaborative actions in a wider scale.
Mathematics Teacher Preparation in Central America and the Caribbean: The Cases of Colombia, Costa Rica, the Dominican Republic and Venezuela (SpringerBriefs in Education)
by Angel RuizThis Open Access book is an excellent synthesis of the initial and continuing preparation for Mathematics Teaching in Colombia, Costa Rica, Dominican Republic and Venezuela, from which comparative analyses can be made that show similarities and differences, and highlight various perspectives.In August 2012, a workshop of the Capacity and Networking Project (CANP) of the International Commission on Mathematical Instruction (ICMI) was held in Costa Rica. This CANP brought together for two weeks a group of 66 Mathematics educators, mathematicians, university administrators, and elementary and secondary teachers from Colombia, Venezuela, the Dominican Republic, Panamá and Costa Rica. The goal was to promote progress in Mathematics Education in the region; as such it was a unique experience in the region. One of the most important results of this event was the creation of the Mathematics Education Network of Central America and the Caribbean (REDUMATE). It was organized by persons associated with the Mathematics Education Reform Project in Costa Rica (responsible for the most outstanding and innovative curriculum reform in Latin America) and the Inter-American Committee on Mathematics Education (IACME), which is an official regional multinational organization affiliate of ICMI.This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four countries of a region within the heart of the American continent, a region that has been many times forgotten. The dissemination of these results can promote the search for international collaborative actions in a wider scale.
Mathematics Teacher Training and Development in Africa: Trends at Primary and Secondary School Levels (Teacher Education, Learning Innovation and Accountability)
by Kakoma Luneta Marc SchäferThis edited volume addresses the need for reforms in mathematics teacher training, spurred by scientific advancements and societal changes, encompassing calls for changes in curricula, content, and instructional methods. The text highlights the complexities of teaching mathematics, specifically within Africa. It provides an exploration into how mathematics teacher training has evolved to address challenges such as ineffective teaching approaches, lack of resources, technological limitations, and outdated training programs. Through comprehensive systematic reviews for each country in the African region, documentation is provided on the past, present, and envisioned future of teacher training programs. This undertaking provides a detailed analysis of mathematics teacher training, offering valuable insights for teacher trainers, government ministries of education, and stakeholders across Africa. For anyone invested in enhancing mathematics education in the region, this book offers indispensable guidance and knowledge.
Mathematics Teachers at Work: Connecting Curriculum Materials and Classroom Instruction (Studies in Mathematical Thinking and Learning Series)
by Janine T. Remillard Beth A. Herbel-Eisenmann Gwendolyn M. LloydThis book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.
Mathematics Teachers in Transition (Studies in Mathematical Thinking and Learning Series)
by Elizabeth Fennema Barbara Scott NelsonThis book addresses the need of professional development leaders and policymakers for scholarly knowledge about influencing teachers to modify mathematical instruction to bring it more in alignment with the recommendations of the current reform movement initiated by the National Council of Teachers of Mathematics. The book presents: * theoretical perspectives for studying, analyzing, and understanding teacher change; * descriptions of contextual variables to be considered as one studies and attempts to understand teacher change; and * descriptions of professional development programs that resulted in teacher change. One chapter builds a rationale for looking to developmental psychology for guidance in constructing models of reconstructing new forms of mathematical instruction. Another highlights the relevance to mathematics teacher development of research-based knowledge about how children construct mathematical ideas. Other chapters explore the relationships between the various contexts of schooling and instructional change. Included also are chapters that describe and analyze major reform efforts designed to assist teachers in modifying their instructional practices (Cognitively Guided Instruction, Math-Cubed, Project Impact, Mathematics in Context, and the Case-Based Project). Finally, the current state of knowledge about encouraging teachers to modify their instruction is discussed, the implications of major research and implementation findings are suggested, and some of the major questions that need to be addressed are identified, such as what we have learned about teacher change.
Mathematics Teaching On Target: A Guide to Teaching for Robust Understanding at All Grade Levels (Studies in Mathematical Thinking and Learning Series)
by Anna Weltman Alan Schoenfeld Heather Fink Alyssa Sayavedra Sandra Zuñiga-RuizMathematics Teaching On Target is a guidebook for improving mathematics teaching, based on the Teaching for Robust Understanding (TRU) Framework and its five dimensions – The Mathematics, Cognitive Demand, Equitable Access, Agency, Ownership, and Identity, and Formative Assessment. You’ll be guided to refine your classroom activities across the five TRU dimensions, and your students will become more knowledgeable and resourceful thinkers and problem solvers. Each chapter in Mathematics Teaching On Target introduces a set of easy-to-use questions for the hands-on improvement of lesson activities, such as: · Think of an activity you use with your students. Is it as mathematically rich as it might be? · Does it stretch your students in the right ways, inviting “productive struggle”? · Can all students engage with it, in ways that allow them to grow as mathematical thinkers? · What evidence will student work provide, helping you revise the activity so that it works better both in the moment and next time? You’ll find examples at the elementary, middle, and secondary levels for each dimension that show how addressing these questions can enhance mathematics instruction. Ideal for your individual classroom, learning community, or district-level and wider professional development efforts, this book will enable you to help more students engage with mathematics in increasingly powerful ways. Beyond individual lessons, this book will also accelerate teacher development by helping you focus and reflect on what really counts in your instruction.
Mathematics Teaching and Learning
by Lillie R. Albert Rina KimThe purpose of this research is to identify the categories of South Korean elementary teachers' knowledge for teaching mathematics. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers' knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. This study also demonstrated that Mathematics Pedagogical Procedural Knowledge might play a pivotal role in constructing Mathematics Pedagogical Content Knowledge. These findings are connected to results from relevant studies in terms of the significant role of teachers' knowledge in mathematics instruction.
Mathematics Teaching and Professional Learning in sub-Sahara Africa (Research in Mathematics Education)
by Kakoma LunetaThe book represents a crop of wide-ranging research conducted by renown scholars in sub-Sahara Africa revolving around mathematics teaching and professional development programs for mathematics teachers. The research-based proposals and actual how-to-conduct professional development initiatives that enhance effective mathematics instruction are rooted in teacher input and informed by learners’ errors and misconceptions. The book provides a comprehensive snapshot on mathematics teaching, learning and effective professional development programmes for mathematics teachers in sub-Sahara Africa. It is the only research output that advances and disseminates issues of mathematics education and research in the region with input from South Africa, Kenya, Rwanda, Uganda, Malawi, Namibia, Lesotho, Ethiopia and Zimbabwe.
Mathematics Teaching in the Early Years: An Investigation of Teachers' Subject Knowledge
by Carol AubreyYoung children start school already able to do a surprising amount of mathematics. This book examines the nature and origin of subject knowledge and is based on information gathered from observing the interactions between teachers and their first-year pupils. It demonstrates the necessity of the classroom teacher to draw on many kinds of knowledge in order to deal with various issues surrounding classroom learning and teaching. Two important core areas are knowledge of lesson structure and of subject matter; this book address the area of subject matter and, as such, it should be of interest to classroom teachers and lecturers in education.
Mathematics Teaching, Learning, and Liberation in the Lives of Black Children (Studies in Mathematical Thinking and Learning Series)
by Danny Bernard MartinWith issues of equity at the forefront of mathematics education research and policy, Mathematics Teaching, Learning, and Liberation in the Lives of Black Children fills the need for authoritative, rigorous scholarship that sheds light on the ways that young black learners experience mathematics in schools and their communities. This timely collection significantly extends the knowledge base on mathematics teaching, learning, participation, and policy for black children and it provides new framings of relevant issues that researchers can use in future work. More importantly, this book helps move the field beyond analyses that continue to focus on and normalize failure by giving primacy to the stories that black learners tell about themselves and to the voices of mathematics educators whose work has demonstrated a commitment to the success of these children.
Mathematics Term 1 Volume 2 class 6 - S.C.E.R.T - Tamil Nadu Board
by Tamil GovernmentThis book introduces the student to the foundations over which the subject had developed in the past, the content it offers now and the changes that it had undergone. Mathematics is a unique symbolic language in which the world works and acts so. This textbook is an attempt to make the learning of Mathematics easy for the student’s community and which is explained in each unit.
Mathematics Term 2 Volume 2 class 6 - S.C.E.R.T - Tamil Nadu Board
by Tamil GovernmentThis book introduces the student to the foundations over which the subject had developed in the past, the content it offers now and the changes that it had undergone. Mathematics is a unique symbolic language in which the world works and acts so. This textbook is an attempt to make the learning of Mathematics easy for the student’s community and which is explained in each unit.
Mathematics Term 3 Volume 2 class 6 - S.C.E.R.T - Tamil Nadu Board
by Tamil GovernmentMathematics Term - III (Volume 2) 6th Standard book introduces the student to the foundations over which the subject had developed in the past, the content it offers now and the changes that it had undergone. Mathematics is a unique symbolic language in which the world works and acts so. This textbook is an attempt to make the learning of Mathematics easy for the student’s community and which is explained in each unit.
Mathematics Through Play in the Early Years: Activities And Ideas
by Kate TuckerTeaching mathematics to young children in creative ways is made easy with this second edition of a wonderful book, which offers the reader clear advice and lots of exciting ideas to use in any early years setting. By showing how to introduce mathematical concepts through play-based activities, this book is in tune with current thinking about best practice in teaching, and with the requirements of the Early Years Foundation Stage and current Primary National Strategy. New material includes: - an additional chapter on creative recording - a whole new chapter on ways to involve parents - discussion of policy throughout the UK - more on using ICT - case studies covering the whole birth to eight age range Essential reading for any practitioner who wants to develop their mathematics teaching, this book is equally important for all trainee teachers and early years students. Kate Tucker is an early years teacher, trainer and writer based in Exeter; she has over 20 years of experience, and has written widely on early years mathematics and Foundation Stage practice.
Mathematics Worksheets Don't Grow Dendrites: 20 Numeracy Strategies That Engage the Brain, PreK-8
by Marcia L. TateEngage students in effective, meaningful experiences in mathematics! Following the format of Marcia L. Tate’s previous bestsellers, this user-friendly guide offers math teachers 20 powerful, brain-based teaching strategies that incorporate visual, auditory, kinesthetic, and tactile modalities to promote student engagement and achievement. The book focuses on the NCTM focal points and includes a bibliography of math and literature resources and a lesson planning guide. The chapters offer: A what, why, and how for each strategy Specific brain-compatible mathematics activities and lessons from real teachers across the country Space for teachers to reflect on and apply individual strategies in their lessons
Mathematics Year 5
by Serena Alexander David HillardA stimulating and rigorous approach to Mathematics that goes beyond the requirements of the National Curriculum for Year 5 pupils (aged 9 and above) and lays the foundation for success at Common Entrance and other independent entrance exams at 11+. - Plenty of worked examples to demonstrate method- Develops key skills with clear explanations and diagrams- Challenges pupils with exercises at various levels- Tests understanding with end-of-chapter activities Galore Park Mathematics Year 5 Answers is available to purchase, which includes photocopiable worksheets for selected exercises and activities.Also available from Galore Park www.galorepark.co.uk:- Mathematics Year 6- 11+ Maths Practice Exercises- 11+ Maths Revision Guide- 10-Minute Maths Tests Workbook Age 8-10- 10-Minute Maths Tests Workbook Age 9-11- Mental Arithmetic Workbook Age 8-10- Mental Arithmetic Workbook Age 9-11
Mathematics Year 5
by Serena Alexander David HillardA stimulating and rigorous approach to Mathematics that goes beyond the requirements of the National Curriculum for Year 5 pupils (aged 9 and above) and lays the foundation for success at Common Entrance and other independent entrance exams at 11+. - Plenty of worked examples to demonstrate method- Develops key skills with clear explanations and diagrams- Challenges pupils with exercises at various levels- Tests understanding with end-of-chapter activities Galore Park Mathematics Year 5 Answers is available to purchase, which includes photocopiable worksheets for selected exercises and activities.Also available from Galore Park www.galorepark.co.uk:- Mathematics Year 6- 11+ Maths Practice Exercises- 11+ Maths Revision Guide- 10-Minute Maths Tests Workbook Age 8-10- 10-Minute Maths Tests Workbook Age 9-11- Mental Arithmetic Workbook Age 8-10- Mental Arithmetic Workbook Age 9-11
Mathematics Year 5 Answers
by Serena Alexander David HillardFeatures the complete set of answers to the exercises in Mathematics Year 5, as well as a selection of photocopiable worksheets to save you time and enable you to identify areas requiring further attention.The book includes diagrams and workings where necessary, to ensure pupils understand how to present their answers, as well as photocopiable worksheets at the back of the book.Also available from Galore Park www.galorepark.co.uk:- Mathematics Year 5- Mathematics Year 6- Mathematics Year 6 Answers- 11+ Maths Practice Exercises- 11+ Maths Revision Guide- 10-Minute Maths Tests Workbook Age 8-10- 10-Minute Maths Tests Workbook Age 9-11- Mental Arithmetic Workbook Age 8-10- Mental Arithmetic Workbook Age 9-11
Mathematics Year 6
by Serena AlexanderA stimulating and rigorous approach to Mathematics that goes beyond the requirements of the National Curriculum for Year 6 pupils (aged 10 and above) and lays the foundation for success at Common Entrance and other independent entrance exams at 11+.- Plenty of worked examples to demonstrate method- Develops key skills with clear explanations and diagrams- Challenges pupils with exercises at various levels- Tests understanding with end-of-chapter activities Galore Park Mathematics Year 6 Answers is available to purchase, which includes photocopiable worksheets for selected exercises and activities.Also available from Galore Park www.galorepark.co.uk:- Mathematics Year 5- 11+ Maths Practice Exercises- 11+ Maths Revision Guide- 10-Minute Maths Tests Workbook Age 8-10- 10-Minute Maths Tests Workbook Age 9-11- Mental Arithmetic Workbook Age 8-10- Mental Arithmetic Workbook Age 9-11
Mathematics Year 6 Answers
by Serena AlexanderFeatures the complete set of answers to the exercises in Mathematics Year 6, as well as a selection of photocopiable worksheets to save you time and enable you to identify areas requiring further attention.The book includes diagrams and workings where necessary, to ensure pupils understand how to present their answers, as well as photocopiable worksheets at the back of the book.Also available from Galore Park www.galorepark.co.uk:- Mathematics Year 6- Mathematics Year 5- Mathematics Year 5 Answers- 11+ Maths Practice Exercises- 11+ Maths Revision Guide- 10-Minute Maths Tests Workbook Age 8-10- 10-Minute Maths Tests Workbook Age 9-11- Mental Arithmetic Workbook Age 8-10- Mental Arithmetic Workbook Age 9-11
Mathematics and Education in an AI Era: Cognitive Science, Technological, and Semiotic Perspectives (Mathematics in Mind)
by Marcel Danesi Dragana MartinovicThis book focuses on the potential contributions of Artificial Intelligence (AI) for enhancing mathematics education. It includes rationales for an AI-oriented pedagogical model, such as interdisciplinarity and even sensitivity to crucial world issues, such as climate change. The chapters in this book highlight what the new age of mathematics education entails concretely, covering themes from the utilization of AI directly into classroom pedagogy and the semiotic consequences of what this entails, to how mathematics training can be tailored to get students to relate concretely to problems of climate change, and to understand the relevance of the differences between symmetry and asymmetry as psychological constructs. The overall picture we can glean from these chapters is not mere eclecticism, but an integration of disciplinary perspectives into a holistic framework that has great relevance and resonance for mathematics education in the age of AI.
Mathematics and Its Connections to the Arts and Sciences: 15 Years of Interdisciplinary Mathematics Education (Mathematics Education in the Digital Era #19)
by Viktor Freiman Annie Savard Claus Michelsen Astrid Beckmann Uffe Thomas JankvistThis book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.
Mathematics and Multi-Ethnic Students: Exemplary Practices
by Yvelyne Germain-MccarthyMathematics and Multi-Ethnic Students provides detailed profiles of teachers across the nation who have implemented effective mathematics instruction for diverse student populations. In this revised edition, Yvelyne Germain-McCarthy expands upon the popular case studies and adds two new chapters to highlight the latest educational research and practices that are reflected in the case studies. A third new chapter introduces the concept of the Life-Long Learning Laboratory where courageous questions on issues such as the impact of race on student learning are discussed. Featuring useful framing tools including the Discussion with Colleagues and Commentary sections, Mathematics and Multi-Ethnic Students translates concrete instances of access and equity into generalized problem-solving methods for promoting ethnic diversity across grade levels. An important resource for pre-service and in-service educators, researchers, administrators, and policy makers, this volume highlights the work of teachers who have gone beyond mere awareness of reform recommendations in mathematics instruction. By uniting the goals of multicultural education with those of the mathematics curriculum, educators will learn to conceptualize and implement best practices for effective, equitable teaching and learning of mathematics for their students.
Mathematics and Science Education Around the World: What Can We Learn From the Survey of Mathematics and Science Opportunities (SMSO) and the Third International Mathematics and Science Study (TIMSS)?
by "SMSO to TIMSS" Writing CommitteeThe National Academies Press (NAP)--publisher for the National Academies--publishes more than 200 books a year offering the most authoritative views, definitive information, and groundbreaking recommendations on a wide range of topics in science, engineering, and health. Our books are unique in that they are authored by the nation's leading experts in every scientific field.