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
Publisher : Springer Science & Business Media
ISBN 13 : 9401786224
Total Pages : 333 pages
Book Rating : 4.4/5 (17 download)

Book Synopsis Computational Experiment Approach to Advanced Secondary Mathematics Curriculum by : Sergei Abramovich

Download or read book Computational Experiment Approach to Advanced Secondary Mathematics Curriculum written by Sergei Abramovich and published by Springer Science & Business Media. This book was released on 2014-05-08 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Developing Deep Knowledge in Middle School Mathematics

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Author : Sergei Abramovich
Publisher : Springer Nature
ISBN 13 : 3030685640
Total Pages : 451 pages
Book Rating : 4.0/5 (36 download)

Book Synopsis Developing Deep Knowledge in Middle School Mathematics by : Sergei Abramovich

Download or read book Developing Deep Knowledge in Middle School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2021-05-10 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fostering Collateral Creativity in School Mathematics

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Author : Sergei Abramovich
Publisher : Springer Nature
ISBN 13 : 3031406397
Total Pages : 141 pages
Book Rating : 4.0/5 (314 download)

Book Synopsis Fostering Collateral Creativity in School Mathematics by : Sergei Abramovich

Download or read book Fostering Collateral Creativity in School Mathematics written by Sergei Abramovich and published by Springer Nature. This book was released on 2023-10-03 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Creativity and Technology in Mathematics Education

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Author : Viktor Freiman
Publisher : Springer
ISBN 13 : 3319723812
Total Pages : 552 pages
Book Rating : 4.3/5 (197 download)

Book Synopsis Creativity and Technology in Mathematics Education by : Viktor Freiman

Download or read book Creativity and Technology in Mathematics Education written by Viktor Freiman and published by Springer. This book was released on 2018-09-03 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computational Science - ICCS 2001

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Author : Vassil Alexandrov
Publisher : Springer Science & Business Media
ISBN 13 : 3540422331
Total Pages : 1068 pages
Book Rating : 4.5/5 (44 download)

Book Synopsis Computational Science - ICCS 2001 by : Vassil Alexandrov

Download or read book Computational Science - ICCS 2001 written by Vassil Alexandrov and published by Springer Science & Business Media. This book was released on 2001-05-24 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: LNCS volumes 2073 and 2074 contain the proceedings of the International Conference on Computational Science, ICCS 2001, held in San Francisco, California, May 27-31, 2001. The two volumes consist of more than 230 contributed and invited papers that reflect the aims of the conference to bring together researchers and scientists from mathematics and computer science as basic computing disciplines, researchers from various application areas who are pioneering advanced application of computational methods to sciences such as physics, chemistry, life sciences, and engineering, arts and humanitarian fields, along with software developers and vendors, to discuss problems and solutions in the area, to identify new issues, and to shape future directions for research, as well as to help industrial users apply various advanced computational techniques.

Mathematics and Computation

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Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Analysis of Research in the Teaching of Mathematics

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Author : Kenneth E. Brown
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.3/5 (243 download)

Book Synopsis Analysis of Research in the Teaching of Mathematics by : Kenneth E. Brown

Download or read book Analysis of Research in the Teaching of Mathematics written by Kenneth E. Brown and published by . This book was released on 1965 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learning and Understanding

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Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309074401
Total Pages : 589 pages
Book Rating : 4.3/5 (9 download)

Book Synopsis Learning and Understanding by : National Research Council

Download or read book Learning and Understanding written by National Research Council and published by National Academies Press. This book was released on 2002-09-06 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a fresh look at programs for advanced studies for high school students in the United States, with a particular focus on the Advanced Placement and the International Baccalaureate programs, and asks how advanced studies can be significantly improved in general. It also examines two of the core issues surrounding these programs: they can have a profound impact on other components of the education system and participation in the programs has become key to admission at selective institutions of higher education. By looking at what could enhance the quality of high school advanced study programs as well as what precedes and comes after these programs, this report provides teachers, parents, curriculum developers, administrators, college science and mathematics faculty, and the educational research community with a detailed assessment that can be used to guide change within advanced study programs.

The Fourth Paradigm

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Author : Anthony J. G. Hey
Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.:/5 (318 download)

Book Synopsis The Fourth Paradigm by : Anthony J. G. Hey

Download or read book The Fourth Paradigm written by Anthony J. G. Hey and published by . This book was released on 2009 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foreword. A transformed scientific method. Earth and environment. Health and wellbeing. Scientific infrastructure. Scholarly communication.

Hearings

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Author : United States. Congress. House. Committee on Science and Astronautics
Publisher :
ISBN 13 :
Total Pages : 1718 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Hearings by : United States. Congress. House. Committee on Science and Astronautics

Download or read book Hearings written by United States. Congress. House. Committee on Science and Astronautics and published by . This book was released on 1969 with total page 1718 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin

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Author : United States. Office of Education
Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.E/5 ( download)

Book Synopsis Bulletin by : United States. Office of Education

Download or read book Bulletin written by United States. Office of Education and published by . This book was released on 1965 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistics of Land-grant Colleges and Universities

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Author : United States. Office of Education
Publisher :
ISBN 13 :
Total Pages : 810 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Statistics of Land-grant Colleges and Universities by : United States. Office of Education

Download or read book Statistics of Land-grant Colleges and Universities written by United States. Office of Education and published by . This book was released on 1965 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Educational Interfaces between Mathematics and Industry

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Author : Alain Damlamian
Publisher : Springer Science & Business Media
ISBN 13 : 3319022709
Total Pages : 452 pages
Book Rating : 4.3/5 (19 download)

Book Synopsis Educational Interfaces between Mathematics and Industry by : Alain Damlamian

Download or read book Educational Interfaces between Mathematics and Industry written by Alain Damlamian and published by Springer Science & Business Media. This book was released on 2013-12-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the “Study Book” of ICMI-Study no. 20, which was run in cooperation with the International Congress on Industry and Applied Mathematics (ICIAM). The editors were the co-chairs of the study (Damlamian, Straesser) and the organiser of the Study Conference (Rodrigues). The text contains a comprehensive report on the findings of the Study Conference, original plenary presentations of the Study Conference, reports on the Working Groups and selected papers from all over world. This content was selected by the editors as especially pertinent to the study each individual chapter represents a significant contribution to current research.

Resources in Education

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Author :
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.:/5 (3 download)

Book Synopsis Resources in Education by :

Download or read book Resources in Education written by and published by . This book was released on 1996-05 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Mathematics

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Author : Dirk De Bock
Publisher : Springer Nature
ISBN 13 : 3031111664
Total Pages : 615 pages
Book Rating : 4.0/5 (311 download)

Book Synopsis Modern Mathematics by : Dirk De Bock

Download or read book Modern Mathematics written by Dirk De Bock and published by Springer Nature. This book was released on 2023-03-08 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstanding overview of the New Math/modern mathematics movement. Chapter authors provide exceptionally high-quality analyses of the rise of the movement, and of subsequent developments, within a range of nations. The first few chapters show how the initial leadership came from mathematicians in European nations and in the United States of America. The background leaders in Europe were Caleb Gattegno and members of a mysterious group of mainly French pure mathematicians, who since the 1930s had published under the name of (a fictitious) “Nicolas Bourbaki.” In the United States, there emerged, during the 1950s various attempts to improve U.S. mathematics curricula and teaching, especially in secondary schools and colleges. This side of the story climaxed in 1957 when the Soviet Union succeeded in launching “Sputnik,” the first satellite. Undoubtedly, this is a landmark publication in education. The foreword was written by Professor Bob Moon, one of a few other scholars to have written on the New Math from an international perspective. The final “epilogue” chapter, by Professor Geert Vanpaemel, a historian, draws together the overall thrust of the volume, and makes links with the general history of curriculum development, especially in science education, including recent globalization trends.

Teaching Secondary Mathematics

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Author : Alfred S. Posamentier
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.X/5 (4 download)

Book Synopsis Teaching Secondary Mathematics by : Alfred S. Posamentier

Download or read book Teaching Secondary Mathematics written by Alfred S. Posamentier and published by Prentice Hall. This book was released on 2002 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revision of this book introduces the 2000 NCTM Principles and Standards and explains their use for teaching secondary school mathematics instruction. Unlike other books, it utilizes 125 enrichment units to provide the staples in preparing to teach mathematics. The authors provide step-by-step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. This valuable book also provides practical teaching methods for immediate use along with answers to typical questions readers have about teaching math. Chapter topics include the mathematics teacher today, long-range and short range planning, teaching more effective lessons, the role of problem solving in the mathematics classroom, using technology to enhance mathematics instruction, authentic assessment and grading strategies, enriching mathematics instruction, and extracurricular activities in mathematics. For mathematics teachers in secondary schools.

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
Publisher :
ISBN 13 :
Total Pages : 660 pages
Book Rating : 4.:/5 (319 download)

Book Synopsis 1970 National Science Foundation Authorization by : United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development

Download or read book 1970 National Science Foundation Authorization written by United States. Congress. House. Committee on Science and Astronautics. Subcommittee on Science, Research, and Development and published by . This book was released on 1969 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: