Computational Experiment Approach To Advanced Secondary Mathematics Curriculum
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Computational Experiment Approach To Advanced Secondary Mathematics Curriculum
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Author : Sergei Abramovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-05-08
Computational Experiment Approach To Advanced Secondary Mathematics Curriculum written by Sergei Abramovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-08 with Education categories.
This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, the book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.
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.
Creativity And Technology In Mathematics Education
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Author : Viktor Freiman
language : en
Publisher: Springer
Release Date : 2018-09-03
Creativity And Technology In Mathematics Education written by Viktor Freiman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-03 with Education categories.
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.
Research In Education
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Author :
language : en
Publisher:
Release Date : 1974
Research 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 1974 with Education categories.
Resources In Education
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Author :
language : en
Publisher:
Release Date : 1996-04
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 1996-04 with Education categories.
Graduate Announcement
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Author : University of Michigan--Dearborn
language : en
Publisher:
Release Date : 1990
Graduate Announcement written by University of Michigan--Dearborn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
1970 National Science Foundation Authorization
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Author : United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development
language : en
Publisher:
Release Date : 1969
1970 National Science Foundation Authorization written by United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Research categories.
Cornell University Courses Of Study
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Author : Cornell University
language : en
Publisher:
Release Date : 2006
Cornell University Courses Of Study written by Cornell University and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Universities and colleges categories.
Bulletin
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Author : United States. Office of Education
language : en
Publisher:
Release Date : 1965
Bulletin written by United States. Office of Education and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Education categories.