Towards Deep Understanding Of Elementary School Mathematics A Brief Companion For Teacher Educators And Others
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Towards Deep Understanding Of Elementary School Mathematics A Brief Companion For Teacher Educators And Others
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Author : Sergei Abramovich
language : en
Publisher: World Scientific
Release Date : 2022-07-07
Towards Deep Understanding Of Elementary School Mathematics A Brief Companion For Teacher Educators And Others written by Sergei Abramovich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-07 with Mathematics categories.
The book is intended to serve as a brief companion for mathematical educators of elementary teacher candidates who learn mathematics within a college of education both at the undergraduate and graduate levels. Being informed by mathematics teaching and learning standards of the United States, Australia, Canada, Chile, England, Japan, Korea, Singapore, and South Africa, the book can be used internationally.The teaching methods emphasize the power of visualization, the use of physical materials, and support of computer technology including spreadsheet, Wolfram Alpha, and the Geometer's Sketchpad.The basic ideas include the development of the concepts of number, base-ten system, problem solving and posing, the emergence of fractions in the context of simple real-life activities requiring the extension of whole number arithmetic, decimals, percent, ratio, geoboard geometry, elements of combinatorics, probability and data analysis.The book includes historical aspects of elementary school mathematics. For example, readers would be interested to know that two-sided counters stem from the binary system with its genesis in the 1st millennium BC China of which Leibnitz (17th century) was one of the first notable proponents. The genesis of the base-ten arithmetic is in the Egyptian mathematics of the 4th millennium BC, enriched with the positional notation with the advent of Hindu-Arabic numerals in the 12th century Europe.
Fostering Collateral Creativity In School Mathematics
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Author : Sergei Abramovich
language : en
Publisher: Springer Nature
Release Date : 2023-10-03
Fostering Collateral Creativity In School Mathematics written by Sergei Abramovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-03 with Education categories.
This book explores the topic of using technology, both physical and digital, to motivate creative mathematical thinking among students who are not considered ‘mathematically advanced.’ The book reflects the authors’ experience of teaching mathematics to Canadian and American teacher candidates and supervising several field-based activities by the candidates. It consists of eight chapters and an Appendix which includes details of constructing computational learning environments. Specifically, the book demonstrates how the appropriate use of technology in the teaching of mathematics can create conditions for the emergence of what may be called ‘collateral creativity,’ a notion similar to Dewey’s notion of collateral learning. Just as collateral learning does not result from the immediate goal of the traditional curriculum, collateral creativity does not result from the immediate goal of traditional problem solving. Rather, mathematical creativity emerges as a collateral outcome of thinking afforded by the use of technology. Furthermore, collateral creativity is an educative outcome of one’s learning experience with pedagogy that motivates students to ask questions about computer-generated or tactile-derived information and assists them in finding answers to their own or the teacher’s questions. This book intends to provide guidance to teachers for fostering collateral creativity in their classrooms.
A Companion To Research In Teacher Education
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Author : Michael A. Peters
language : en
Publisher: Springer
Release Date : 2017-05-31
A Companion To Research In Teacher Education written by Michael A. Peters and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-31 with Education categories.
This state-of-the-art Companion assembles and assesses the extant research available on teacher education and provides clear guidelines on future directions. It addresses an important need in a collection that will be of value for teachers, teacher educators, policymakers and politicians. There has been little sustained, long-term or systematic research to provide empirical support for the broad aspects of teacher education policy, largely because such research has been chronically underfunded and based on traditional practitioner knowledge. Many of the changes to teacher education are contentious and yet are occurring in rapid succession. These policies and movements have important consequences for education, teacher quality and the future of the teaching profession. At the same time, the policies and initiatives that support these changes seem to be based more on ideology, business interests and tradition than on research and empirical findings. The nature, quality and effectiveness of teacher preparation have increasingly become a central focus for education policy worldwide in a fiercely argued debate among governments, think-tanks, world policy agencies, education researchers and teacher organisations.
Developing Deep Knowledge In Middle School Mathematics
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Author : Sergei Abramovich
language : en
Publisher: Springer Nature
Release Date : 2021-05-10
Developing Deep Knowledge In Middle School Mathematics written by Sergei Abramovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-10 with Education categories.
This textbook is for prospective teachers of middle school mathematics. It reflects on the authors’ experience in offering various mathematics education courses to prospective teachers in the US and Canada. In particular, the content can support one or more of 24-semester-hour courses recommended by the Conference Board of the Mathematical Sciences (2012) for the mathematical preparation of middle school teachers. The textbook integrates grade-appropriate content on all major topics in the middle school mathematics curriculum with international recommendations for teaching the content, making it relevant for a global readership. The textbook emphasizes the inherent connections between mathematics and real life, since many mathematical concepts and procedures stem from common sense, something that schoolchildren intuitively possess. This focus on teaching formal mathematics with reference to real life and common sense is essential to its pedagogical approach. In addition, the textbook stresses the importance of being able to use technology as an exploratory tool, and being familiar with its strengths and weaknesses. In keeping with this emphasis on the use of technology, both physical (manipulatives) and digital (commonly available educational software), it also explores e.g. the use of computer graphing software for digital fabrication. In closing, the textbook addresses the issue of creativity as a crucial aspect of education in the digital age in general, and in mathematics education in particular.
The Routledge Companion To Interdisciplinary Studies In Singing Volume Ii Education
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Author : Helga R. Gudmundsdottir
language : en
Publisher: Routledge
Release Date : 2020-05-19
The Routledge Companion To Interdisciplinary Studies In Singing Volume Ii Education written by Helga R. Gudmundsdottir and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-19 with Music categories.
The Routledge Companion to Interdisciplinary Studies in Singing, Volume II: Education examines the many methods and motivations for vocal pedagogy, promoting singing not just as an art form arising from the musical instrument found within every individual but also as a means of communication with social, psychological, and didactic functions. Presenting research from myriad fields of study beyond music—including psychology, education, sociology, computer science, linguistics, physiology, and neuroscience—the contributors address singing in three parts: Learning to Sing Naturally Formal Teaching of Singing Using Singing to Teach In 2009, the Social Sciences and Humanities Research Council of Canada funded a seven-year major collaborative research initiative known as Advancing Interdisciplinary Research in Singing (AIRS). Together, global researchers from a broad range of disciplines addressed three challenging questions: How does singing develop in every human being? How should singing be taught and used to teach? How does singing impact wellbeing? Across three volumes, The Routledge Companion to Interdisciplinary Studies in Singing consolidates the findings of each of these three questions, defining the current state of theory and research in the field. Volume II: Education focuses on the second question and offers an invaluable resource for anyone who identifies as a singer, wishes to become a singer, works with singers, or is interested in the application of singing for the purposes of education.
Mathematize It Grades 6 8
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Author : Kimberly Morrow-Leong
language : en
Publisher: Corwin Press
Release Date : 2020-08-21
Mathematize It Grades 6 8 written by Kimberly Morrow-Leong and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-21 with Education categories.
Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6–8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 6–8: · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!
Figuring Out Fluency Multiplication And Division With Whole Numbers
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Author : John J. SanGiovanni
language : en
Publisher: Corwin Press
Release Date : 2021-07-27
Figuring Out Fluency Multiplication And Division With Whole Numbers written by John J. SanGiovanni and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-27 with Education categories.
Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The landmark book Figuring Out Fluency in Mathematics Teaching and Learning offered educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. Now, teachers have the chance to apply that inspiration through explicit instruction and practice every day with the classroom companion Figuring Out Fluency: Multiplication and Division with Whole Numbers. With this book, teachers can: • Dive deeper into the Significant Strategies for fluency explained in the anchor book • Learn how these strategies grow from and relate to the basic fact strategies children learn • Access over 100 strategy-aligned and classroom-ready activities for fluency instruction and practice in multiplying and dividing multi-digit whole numbers, including worked examples, routines, games, and centers • Find activities for assessing all components of multiplication and division fluency plus support for engaging families • Download all of the needed support tools, game boards, and other resources from the companion website for immediate implementation. Give each and every student the knowledge and power to become skilled and confident mathematical thinkers and doers.
A Research Companion To Principles And Standards For School Mathematics
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Author : Jeremy Kilpatrick
language : en
Publisher: National Council of Teachers of English
Release Date : 2003
A Research Companion To Principles And Standards For School Mathematics written by Jeremy Kilpatrick and has been published by National Council of Teachers of English this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Education categories.
This useful companion to Principles and Standards is for anyone seeking to explore the underpinnings of that document in the scholarly literature. It synthesises a sizeable portion of the professional literature to lend valuable insight into current thinking about school mathematics and presents a comprehensive analysis of what research should be expected to do in setting standards for school mathematics.
Christian Companion
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Author :
language : en
Publisher:
Release Date : 1900
Christian Companion written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with categories.
Learning To Teach Mathematics In The Secondary School
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Author : Sue Johnston-Wilder
language : en
Publisher: Routledge
Release Date : 2010-09-13
Learning To Teach Mathematics In The Secondary School written by Sue Johnston-Wilder and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-13 with Education categories.
What is the role of mathematics in the secondary classroom? What is expected of a would-be maths teacher? How is mathematics best taught and learnt? Learning to Teach Mathematics in the Secondary School combines theory and practice to present a broad introduction to the opportunities and challenges of teaching mathematics in the modern secondary school classroom. Written specifically with the new and student teacher in mind, the book covers a wide range of issues related to the teaching of mathematics, including: The role of ICT Assessment for Learning NEW Using mathematics in context NEW Communicating mathematically Planning mathematics lessons Including special-needs pupils Teaching mathematics post-16 Professional Development Already a major text for many university teaching courses, this fully revised third edition takes into account new developments in the National Curriculum as well as recent changes to the standards for Qualified Teacher Status. Featuring two brand new chapters, a glossary of useful terms, addresses for resources and organisations, and tasks designed to prompt critical reflection and support thinking and writing at Masters level, this book will help you make the most of school experience, during your training and beyond. Designed for use as a core textbook, this new edition of Learning to Teach Mathematics in the Secondary School provides essential guidance and advice for all trainee and practising teachers of secondary mathematics.