Integrating Computers And Problem Posing In Mathematics Teacher Education

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Integrating Computers And Problem Posing In Mathematics Teacher Education

Abramovich Sergei
Integrating Computers And Problem Posing In Mathematics Teacher Education Book PDF

Author : Abramovich Sergei
Publisher : World Scientific
Page : 256 pages
File Size : 55,8 Mb
Release : 2018-09-12
Category : Education
ISBN : 9789813273931

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Integrating Computers And Problem Posing In Mathematics Teacher Education by Abramovich Sergei Pdf

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.

Mathematical Problem Posing

Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai
Mathematical Problem Posing Book PDF

Author : Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai
Publisher : Springer
Page : 587 pages
File Size : 40,6 Mb
Release : 2015-06-12
Category : Education
ISBN : 9781461462583

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Mathematical Problem Posing by Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai Pdf

The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years. ​​

Creativity and Technology in Mathematics Education

Viktor Freiman,Janet Lynne Tassell
Creativity and Technology in Mathematics Education Book PDF

Author : Viktor Freiman,Janet Lynne Tassell
Publisher : Springer
Page : 561 pages
File Size : 51,5 Mb
Release : 2018-09-03
Category : Education
ISBN : 9783319723815

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Creativity and Technology in Mathematics Education by Viktor Freiman,Janet Lynne Tassell Pdf

This volume provides new insights on creativity while focusing on innovative methodological approaches in research and practice of integrating technological tools and environments in mathematics teaching and learning. This work is being built on the discussions at the mini-symposium on Creativity and Technology at the International Conference on Mathematical Creativity and Giftedness (ICMCG) in Denver, USA (2014), and other contributions to the topic. The book emphasizes a diversity of views, a variety of contexts, angles and cultures of thought, as well as mathematical and educational practices. The authors of each chapter explore the potential of technology to foster creative and divergent mathematical thinking, problem solving and problem posing, creative use of dynamic, multimodal and interactive software by teachers and learners, as well as other digital media and tools while widening and enriching transdisciplinary and interdisciplinary connections in mathematics classroom. Along with ground-breaking innovative approaches, the book aims to provide researchers and practitioners with new paths for diversification of opportunities for all students to become more creative and innovative mathematics learners. A framework for dynamic learning conditions of leveraging mathematical creativity with technology is an outcome of the book as well.

Youngsters Solving Mathematical Problems with Technology

Susana Carreira,Keith Jones,Nélia Amado,Hélia Jacinto,Sandra Nobre
Youngsters Solving Mathematical Problems with Technology Book PDF

Author : Susana Carreira,Keith Jones,Nélia Amado,Hélia Jacinto,Sandra Nobre
Publisher : Springer
Page : 255 pages
File Size : 53,7 Mb
Release : 2016-02-19
Category : Education
ISBN : 9783319249100

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Youngsters Solving Mathematical Problems with Technology by Susana Carreira,Keith Jones,Nélia Amado,Hélia Jacinto,Sandra Nobre Pdf

This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.

Exploring Mathematics with Integrated Spreadsheets in Teacher Education

Sergei Abramovich
Exploring Mathematics with Integrated Spreadsheets in Teacher Education Book PDF

Author : Sergei Abramovich
Publisher : World Scientific Publishing Company
Page : 304 pages
File Size : 48,5 Mb
Release : 2015-07-30
Category : Mathematics
ISBN : 9789814678247

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Exploring Mathematics with Integrated Spreadsheets in Teacher Education by Sergei Abramovich Pdf

The goal of the book is to technologically enhance the preparation of mathematics schoolteachers using an electronic spreadsheet integrated with Maple and Wolfram Alpha — digital tools capable of sophisticated symbolic computations. The content of the book is a combination of mathematical ideas and concepts associated with pre-college problem solving curriculum and their extensions into more advanced mathematical topics. The book provides prospective and practicing teachers with a foundation for developing a deep understanding of many concepts fundamental to the teaching of school mathematics. It also provides the teachers with a technical expertise in designing spreadsheet-based computational environments. Consistent with the current worldwide guidelines for technology-enhanced teacher preparation, the book emphasizes the integration of context, mathematics, and technology as a method for teaching mathematics. Throughout the book, a number of mathematics education documents developed around the world (Australia, Canada, England, Japan, Singapore, United States) are reviewed as appropriate.

Computer-enabled Mathematics

Sergei Abramovich
Computer enabled Mathematics Book PDF

Author : Sergei Abramovich
Publisher : Unknown
Page : 0 pages
File Size : 46,6 Mb
Release : 2011
Category : Electronic data processing
ISBN : 1611227844

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Computer-enabled Mathematics by Sergei Abramovich Pdf

Addresses core recommendations by the Conference Board of the Mathematical Sciences - an umbrella organisation consisting of sixteen professional societies in the United States - regarding the mathematical preparation of the teachers.

The Art of Problem Posing

Stephen I. Brown,Marion I. Walter
The Art of Problem Posing Book PDF

Author : Stephen I. Brown,Marion I. Walter
Publisher : Psychology Press
Page : 178 pages
File Size : 43,6 Mb
Release : 2005-01-15
Category : Education
ISBN : 9781135612245

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The Art of Problem Posing by Stephen I. Brown,Marion I. Walter Pdf

This book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.

Classroom Integration of Type II Uses of Technology in Education

Cleborne D Maddux
Classroom Integration of Type II Uses of Technology in Education Book PDF

Author : Cleborne D Maddux
Publisher : Routledge
Page : 216 pages
File Size : 42,9 Mb
Release : 2012-11-12
Category : Computers
ISBN : 9781136443190

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Classroom Integration of Type II Uses of Technology in Education by Cleborne D Maddux Pdf

Develop new strategies for using computers in the classroom Educators have talked about using information technology to improve teaching since the beginning of the modern computer movement but true integration remains an elusive goal—for most. Classroom Integration of Type II Uses of Technology in Education finds teachers who have managed to take advantage of the sophistication, power, and affordability of today’s technology to develop new and better strategies for learning, despite the absence of an effective institutional infrastructure. This unique book reviews effective Type II teaching applications and software used at all educational levels, including Lego/Logo technologies, idea technologies, graphics software, laptop computers, and handheld computers. Information technology in schools has failed to fulfill its considerable potential because without a widespread instructional support system, computers are generally poorly used and not integrated meaningfully into classroom activities. But some educators have still been able to implement Type II applications of information technology in their educational settings. Classroom Integration of Type II Uses of Technology in Education looks at their innovative methods of using computers to bring about more effective teaching—and learning. Classroom Integration of Type II Uses of Technology in Education examines: computer activities of grade 1-5 students using Lego/Logo technologies using Kid-Pix graphics software for creative activities the Technology Integration Assessment Instrument (TIAI) gender disparity in computer-oriented problem solving a three-tiered, idea-technology classification system pre-service teacher preparation assistive technology definitions, legislation, and implementation issues lesson plans and document techniques for laptop computers an action/instructional model for using handheld wireless computers in the classroom Classroom Integration of Type II Uses of Technology in Education is an invaluable resource for academics working in information technology and education, and for K-12 teachers and administrators at all levels.

Developing Deep Knowledge in Middle School Mathematics

Sergei Abramovich,Michael L. Connell
Developing Deep Knowledge in Middle School Mathematics Book PDF

Author : Sergei Abramovich,Michael L. Connell
Publisher : Springer Nature
Page : 451 pages
File Size : 46,5 Mb
Release : 2021-05-10
Category : Education
ISBN : 9783030685645

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Developing Deep Knowledge in Middle School Mathematics by Sergei Abramovich,Michael L. Connell Pdf

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 Art of Problem Posing

Stephen I. Brown,Marion I. Walter
The Art of Problem Posing Book PDF

Author : Stephen I. Brown,Marion I. Walter
Publisher : Psychology Press
Page : 225 pages
File Size : 52,7 Mb
Release : 2005-01-15
Category : Education
ISBN : 9781135612238

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The Art of Problem Posing by Stephen I. Brown,Marion I. Walter Pdf

The new edition of this classic book describes and provides a myriad of examples of the relationships between problem posing and problem solving, and explores the educational potential of integrating these two activities in classrooms at all levels. The Art of Problem Posing, Third Edition encourages readers to shift their thinking about problem posing (such as where problems come from, what to do with them, and the like) from the "other" to themselves and offers a broader conception of what can be done with problems. Special features include: an exploration of the logical relationship between problem posing and problem solving; sketches, drawings, and diagrams that illustrate the schemes proposed; and a special section on writing in mathematics. In the updated third edition, the authors specifically: *address the role of problem posing in the NCTM Standards; *elaborate on the concept of student as author and critic; *include discussion of computer applications to illustrate the potential of technology to enhance problem posing in the classroom; *expand the section on diversity/multiculturalism; and *broaden discussion of writing as a classroom enterprise. This book offers present and future teachers at the middle school, secondary school, and higher education levels ideas to enrich their teaching and suggestions for how to incorporate problem posing into a standard mathematics curriculum.

Topics in Mathematics For Elementary Teachers

Sergei Abramovich
Topics in Mathematics For Elementary Teachers Book PDF

Author : Sergei Abramovich
Publisher : IAP
Page : 244 pages
File Size : 40,6 Mb
Release : 2024-01-01
Category : Education
ISBN : 9798887305165

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Topics in Mathematics For Elementary Teachers by Sergei Abramovich Pdf

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).

Computer Education for Teachers

Vicki F. Sharp
Computer Education for Teachers Book PDF

Author : Vicki F. Sharp
Publisher : Unknown
Page : 596 pages
File Size : 49,6 Mb
Release : 2001-08
Category : Computers
ISBN : 007250837X

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Computer Education for Teachers by Vicki F. Sharp Pdf

Extremely clear and comprehensive, Computer Education for Teachers features classroom lessons, activities, and projects, over 300 clear illustrations, state-of-the-art technology developments, a chapter on multimedia, two Internet chapters, a large collection of annotated Internet Sites in each chapter, a chapter on computers in special education, an annotated recommended software listing, a summary of current computer research, and an extensive bibliography.Designed to meet the needs of the student unfamiliar with the use of the computer in the classroom, the book is written for undergraduate and graduate education students who want an up-to-date, readable, practical, and concise introduction to computers for teachers. It assumes no prior experience with computers. The chapters are written so that the reader can pursue them in any order.

Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age

Niess, Margaret
Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age Book PDF

Author : Niess, Margaret
Publisher : IGI Global
Page : 679 pages
File Size : 52,5 Mb
Release : 2016-04-22
Category : Education
ISBN : 9781522501213

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Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age by Niess, Margaret Pdf

The digital age provides ample opportunities for enhanced learning experiences for students; however, it can also present challenges for educators who must adapt to and implement new technologies in the classroom. The Handbook of Research on Transforming Mathematics Teacher Education in the Digital Age is a critical reference source featuring the latest research on the development of educators’ knowledge for the integration of technologies to improve classroom instruction. Investigating emerging pedagogies for preservice and in-service teachers, this publication is ideal for professionals, researchers, and educational designers interested in the implementation of technology in the mathematics classroom.

Fostering Collateral Creativity in School Mathematics

Sergei Abramovich,Viktor Freiman
Fostering Collateral Creativity in School Mathematics Book PDF

Author : Sergei Abramovich,Viktor Freiman
Publisher : Springer Nature
Page : 141 pages
File Size : 51,7 Mb
Release : 2023-10-03
Category : Education
ISBN : 9783031406393

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Fostering Collateral Creativity in School Mathematics by Sergei Abramovich,Viktor Freiman Pdf

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.

Teaching Computational Thinking

Maureen D. Neumann,Lisa Dion
Teaching Computational Thinking Book PDF

Author : Maureen D. Neumann,Lisa Dion
Publisher : MIT Press
Page : 201 pages
File Size : 41,8 Mb
Release : 2021-12-21
Category : Computers
ISBN : 9780262361835

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Teaching Computational Thinking by Maureen D. Neumann,Lisa Dion Pdf

A guide for educators to incorporate computational thinking—a set of cognitive skills applied to problem solving—into a broad range of subjects. Computational thinking—a set of mental and cognitive tools applied to problem solving—is a fundamental skill that all of us (and not just computer scientists) draw on. Educators have found that computational thinking enhances learning across a range of subjects and reinforces students’ abilities in reading, writing, and arithmetic. This book offers a guide for incorporating computational thinking into middle school and high school classrooms, presenting a series of activities, projects, and tasks that employ a range of pedagogical practices and cross a variety of content areas. As students problem solve, communicate, persevere, work as a team, and learn from mistakes, they develop a concrete understanding of the abstract principles used in computer science to create code and other digital artifacts. The book guides students and teachers to integrate computer programming with visual art and geometry, generating abstract expressionist–style images; construct topological graphs that represent the relationships between characters in such literary works as Harry Potter and the Sorcerer’s Stone and Romeo and Juliet; apply Newtonian physics to the creation of computer games; and locate, analyze, and present empirical data relevant to social and political issues. Finally, the book lists a variety of classroom resources, including the programming languages Scratch (free to all) and Codesters (free to teachers). An accompanying website contains the executable programs used in the book’s activities.