Diversifying Mathematics Teaching Advanced Educational Content And Methods For Prospective Elementary Teachers
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Diversifying Mathematics Teaching Advanced Educational Content And Methods For Prospective Elementary Teachers
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Author : Sergei Abramovich
language : en
Publisher: World Scientific
Release Date : 2017-02-24
Diversifying Mathematics Teaching Advanced Educational Content And Methods For Prospective Elementary Teachers 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 2017-02-24 with Mathematics categories.
'What one takes away from this book is the notion that there’s a lot of potential to do more with these students, and the book stands as a resource for anyone who shares that opinion … Books like Abramovich’s are a welcome addition to our options as we try to do our best by these students, and by extension, their future students.'MAA ReviewsThe book is written to enhance the preparation of elementary teacher candidates by offering teaching ideas conducive to the development of deep understanding of concepts fundamental to the mathematics curriculum they are to teach. It intends to show how the diversity of teaching methods stems from the knowledge of mathematics content and how the appreciation of this diversity opens a window to the teaching of extended content.The book includes material that the author would have shared with teacher candidates should there have been more instructional time than a 3 credit hour master's level course, 'Elementary Mathematics: Content and Methods', provides. Thus the book can supplement a basic textbook for such a course by extending content and diversifying methods.Also, the book can support graduate level mathematics education programs which have problem-solving seminars/courses in their curriculum. The book is well-informed with (available in English) the mathematical standards and recommendations for teachers from Australia, Canada, Chile, England, Japan, Korea, Singapore, and the United States.
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.
Topics In Mathematics For Elementary Teachers
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Author : Sergei Abramovich
language : en
Publisher: IAP
Release Date : 2024-01-01
Topics In Mathematics For Elementary Teachers written by Sergei Abramovich and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Education categories.
This is the second (revised) edition of the book published in 2010 under the same title. It reflects the author’s experience teaching a graduate level mathematics content course for elementary teacher candidates at SUNY Potsdam since 2003. The book addresses a number of recommendations of the Conference Board of the Mathematical Sciences for the preparation of teachers demonstrating how abstract mathematical concepts can be motivated by concrete activities and the use of technology. Such approach to school mathematics makes it easier for teachers to grasp the meaning of generalization, formal proof, and the creation of an increasing number of concepts on higher levels of abstraction. The book’s computer-enhanced pedagogy and its strong experiential component enabled by the use of manipulative materials have the potential to reduce mathematics anxiety among teachers and help them develop confidence in teaching the subject matter through modeling and problem solving. Classroom observations of teachers’ learning mathematics as a combination of theory and experiment confirm that this approach elevates one’s mathematical understanding to a higher ground. Most of the chapters are motivated by a problem typically found in the elementary mathematics curricula and/or standards (either National or New York State – the context in which the author prepare teachers). By exploring traditional problems in depth, teachers can uncover fundamental mathematical concepts and ideas hidden within a seemingly mundane task. The need to have experience in going beyond traditional expectations for learning is due to the constructivist orientation of contemporary mathematics pedagogy that encourages students to ask questions about mathematics they study. Each chapter (except the last one) includes an activity set that can be used for the development of the variety of assignments for teachers. Digital tools used in the book include spreadsheets, Wolfram Alpha, GeoGebra, Kid Pix Studio Deluxe, and Graphing Calculator (Pacific Tech).
Integrating Computers And Problem Posing In Mathematics Teacher Education
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Author : Sergei Abramovich
language : en
Publisher: World Scientific
Release Date : 2018-09-17
Integrating Computers And Problem Posing In Mathematics Teacher Education 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 2018-09-17 with Education categories.
The book is written to share ideas stemming from technology-rich K-12 mathematics education courses taught by the author to American and Canadian teacher candidates over the past two decades. It includes examples of problems posed by the teacher candidates using computers. These examples are analyzed through the lenses of the theory proposed in the book.Also, the book includes examples of computer-enabled formulation as well as reformulation of rather advanced problems associated with the pre-digital era problem-solving curriculum. The goal of the problem reformulation is at least two-fold: to make curriculum materials compatible with the modern-day emphasis on democratizing mathematics education and to find the right balance between positive and negative affordances of technology.The book focuses on the use of spreadsheets, Wolfram Alpha, Maple, and The Graphing Calculator (also known as NuCalc) in problem posing. It can be used by pre-service and in-service teachers interested in K-12 mathematics curriculum development in the digital era as well as by those studying mathematics education from a theoretical perspective.
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.
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.
Resources In Education
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Author :
language : en
Publisher:
Release Date : 2001
Resources In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Education categories.
National Science Council Review
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Author :
language : en
Publisher:
Release Date : 1999
National Science Council Review written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Engineering categories.
Directory Of Research Grants 2008
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Author : Schoolhouse Partners LLC
language : en
Publisher: AuthorHouse
Release Date : 2008-05
Directory Of Research Grants 2008 written by Schoolhouse Partners LLC and has been published by AuthorHouse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05 with Business & Economics categories.
Volume 2 of 2 - With more than 5,100 listings of grants programs from 1,880 sponsors, the Directory of Research Grants is a comprehensive directory of grants available to researchers in every field of study. The directory has a broad focus, featuring grants for basic research, equipment acquisition, building construction/renovation, fellowships, and 23 other program types. Government grants include CFDA, NSF and NIH program numbers. Each record includes grant title, description, requirements, amount, application deadline, contact information (phone, fax and email), web address, sponsor name and address, and samples of awarded grants (when available). Printed in two volumes, each with extensive indexes - subject, program type and geographic to help you to identify the right program quickly.
Resources In Education
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Author :
language : en
Publisher:
Release Date : 1997
Resources In Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Education categories.