Technology and Mathematics

Technology and Mathematics PDF

Author: Sven Ove Hansson

Publisher: Springer

Published: 2018-10-24

Total Pages: 373

ISBN-13: 3319937790

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This volume is the first extensive study of the historical and philosophical connections between technology and mathematics. Coverage includes the use of mathematics in ancient as well as modern technology, devices and machines for computation, cryptology, mathematics in technological education, the epistemology of computer-mediated proofs, and the relationship between technological and mathematical computability. The book also examines the work of such historical figures as Gottfried Wilhelm Leibniz, Charles Babbage, Ada Lovelace, and Alan Turing.

Demystify Math, Science, and Technology

Demystify Math, Science, and Technology PDF

Author: Dennis Adams

Publisher: R&L Education

Published: 2013-04-16

Total Pages: 161

ISBN-13: 1475804644

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In a rapidly evolving local and global economy, skills related to mathematical problem solving, scientific inquiry, and technological innovation are becoming more critical for success in and out of school. Thus, Demystify Math, Science, and Technology addresses the need to cultivate these skills in young students so that ingenuity, teamwork, and imaginative skills become part of their arsenal in dealing with real world challenges. This whole package of attributes is essential for learners imagining new scenarios and future work in areas that don’t even exist yet. Another important issue is that teachers now deal with students who span the entire spectrum of learning. Students differ widely in levels of preparedness, personal interests, and cultural ways of seeing and experiencing the world. One size does not fit all. Teachers need to learn to turn diversity into an advantage because innovation builds on the social nature of learning; the more diverse the inputs, the more interesting the outputs. The authors also believe that no one should be sidelined with basic skill training in a way that keeps them away from the creative and collaborative engagement associated with problem solving, inquiry, and the technological products of math and science.

Inquiry Into Math, Science, and Technology for Teaching Young Children

Inquiry Into Math, Science, and Technology for Teaching Young Children PDF

Author: Arleen Pratt Prairie

Publisher: Cengage Learning

Published: 2005

Total Pages: 0

ISBN-13: 9781401833596

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Inquiry into Math, Science and Technology for Teaching Young Children uses current theory as foundation for the rich and varied math and science curriculum in preschool and kindergarten. The curriculum in this text easily embraces developmentally appropriate practice, emergent curriculum, Reggio Emilia and the Project Approach. Students can connect the rich math and science curriculum with the national standards in math and science plus the NAEYC Early Childhood Professional Preparation Standards. By using the ways we know children learn best, students are guided to develop their own curriculum for children while incorporating the national standards. The text guides early childhood students to inquire how children learn by capturing the innate curiosity and emerging thinking skills of young children. The writing of this text invites students to explore math and science inquiry themselves, to engage in the curiosity and innovative thinking of young children, and become immersed in their new concept of teaching through experiencing children's learning.

Mathematics and Computation

Mathematics and Computation PDF

Author: Avi Wigderson

Publisher: Princeton University Press

Published: 2019-10-29

Total Pages: 434

ISBN-13: 0691189137

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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

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