Updating Mathematics
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Updating Mathematics
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Author :
language : en
Publisher:
Release Date : 1958
Updating Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Arithmetic categories.
Modern Mathematics Updated Edition
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Author : Michael Bradley
language : en
Publisher: Infobase Holdings, Inc
Release Date : 2019-11-01
Modern Mathematics Updated Edition written by Michael Bradley and has been published by Infobase Holdings, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
Praise for the previous edition: “…ample information for reports.”—School Library Journal During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics, Updated Edition provides an eye-opening introduction to those five historic decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth title covers the early 20th-century advancements that expanded the field of mathematics and transformed the way that mathematicians do their work. This edition is ideal for middle and high school students seeking resources for research or general interest.
Mathematics Frontiers Updated Edition
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Author : Michael Bradley
language : en
Publisher: Infobase Holdings, Inc
Release Date : 2019-11-01
Mathematics Frontiers Updated Edition written by Michael Bradley and has been published by Infobase Holdings, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
Tracing the development of mathematics from a biographical standpoint, Mathematics Frontiers, Updated Edition profiles innovators from the second half of the 20th century who made significant discoveries in both pure and applied mathematics. The 10 mathematicians in this updated edition exemplify a growing diversity within the mathematical community, drawing from the talents of individuals across all nationalities, races, and genders. From John H. Conway, who helped complete the classification of all finite groups (and invented "The Game of Life" board game), to Stephen Hawking, who established the mathematical basis for black holes, to Fan Chung, who developed an encoding and decoding algorithm for phone calls, this lively survey of contemporary minds behind the math is ideal for middle and high school students seeking resources for research or general interest.
The Mathematical Tourist
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Author : Ivars Peterson
language : en
Publisher: Macmillan
Release Date : 1998-04-15
The Mathematical Tourist written by Ivars Peterson and has been published by Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-15 with Mathematics categories.
In the first edition of The Mathematical Tourist, renowned science journalist Ivars Peterson took readers on an unforgettable tour through the sometimes bizarre, but always fascinating, landscape of modern mathematics. Now the journey continues in a new, updated edition that includes all the latest information on mathematical proofs, fractals, prime numbers, and chaos, as well as new material on * the relationship between mathematical knots and DNA * how computers based on quantum logic can significantly speed up the factoring of large composite numbers * the relationship between four-dimensional geometry and physical theories of the nature of matter * the application of cellular automata models to social questions and the peregrinations of virtual ants * a novel mathematical model of quasicrystals based on decagon-shaped tiles Blazing a trail through rows of austere symbols and dense lines of formulae, Peterson explores the central ideas behind the work of professional mathematicians-- how and where their pieces of the mathematical puzzle fit in, the sources of their ideas, their fountains of inspiration, and the images that carry them from one discovery to another.
The Foundations Of Mathematics Updated Edition
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Author : Michael Bradley
language : en
Publisher: Infobase Holdings, Inc
Release Date : 2019-11-01
The Foundations Of Mathematics Updated Edition written by Michael Bradley and has been published by Infobase Holdings, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
Praise for the previous edition: “…ample information for reports.”—School Library Journal During the 16th and 17th centuries, mathematicians developed a wealth of new ideas but had not carefully employed accurate definitions, proofs, or procedures to document and implement them. However, in the early 19th century, mathematicians began to recognize the need to precisely define their terms, to logically prove even obvious principles, and to use rigorous methods of manipulation. The Foundations of Mathematics, Updated Edition presents the lives and accomplishments of 10 mathematicians who contributed to one or more of the four major initiatives that characterized the rapid growth of mathematics during the 19th century: the introduction of rigor, the investigation of the structure of mathematical systems, the development of new branches of mathematics, and the spread of mathematical activity throughout Europe. This updated edition communicates the importance and impact of the work of the pioneers who redefined this area of study. Each unit contains information on the person's research, discoveries, and contributions to the field and concludes with a list of print and Internet references specific to that individual.
The Birth Of Mathematics Updated Edition
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Author : Michael Bradley
language : en
Publisher: Infobase Holdings, Inc
Release Date : 2019-11-01
The Birth Of Mathematics Updated Edition written by Michael Bradley and has been published by Infobase Holdings, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-01 with Mathematics categories.
Praise for the previous edition: “…ample information for reports.”—School Library Journal From 700 BCE to 1300 CE, thousands of scholars from many civilizations introduced mathematical ideas that established the foundations of arithmetic, number theory, algebra, geometry, and trigonometry, as well as the related sciences of astronomy and physics. Although we know very little about specific individuals who made important mathematical discoveries in Babylonia, Egypt, and China, historians in Arabia, ancient Greece, India, and medieval Italy preserved a more complete record, including the identities of some of the innovators. The Birth of Mathematics, Updated Edition profiles 10 individuals spanning four cultures and 20 centuries as representatives of the numerous scholars who contributed to the field of mathematics. The stories of their achievements provide a glimpse into the lives and the minds of some of the pioneers who discovered mathematics. Each unit contains information on the person's research, discoveries, and contributions to the field and concludes with a list of print and Internet references specific to that individual.
Psychology And Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Frontiers Media SA
Release Date : 2023-09-05
Psychology And Mathematics Education written by Gila Hanna and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Science categories.
Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).
Modern Mathematics
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Author : Dirk De Bock
language : en
Publisher: Springer Nature
Release Date : 2023-03-08
Modern Mathematics written by Dirk De Bock and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-08 with Education categories.
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.
International Handbook Of Mathematical Learning Difficulties
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Author : Annemarie Fritz
language : en
Publisher: Springer
Release Date : 2019-01-30
International Handbook Of Mathematical Learning Difficulties written by Annemarie Fritz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Education categories.
This comprehensive volume provides teachers, researchers and education professionals with cutting edge knowledge developed in the last decades by the educational, behavioural and neurosciences, integrating cognitive, developmental and socioeconomic approaches to deal with the problems children face in learning mathematics. The neurocognitive mechanisms and the cognitive processes underlying acquisition of arithmetic abilities and their significance for education have been the subject of intense research in the last few decades, but the most part of this research has been conducted in non-applied settings and there’s still a deep discrepancy between the level of scientific knowledge and its implementation into actual educational settings. Now it’s time to bring the results from the laboratory to the classroom. Apart from bringing the theoretical discussions to educational settings, the volume presents a wide range of methods for early detection of children with risks in mathematics learning and strategies to develop effective interventions based on innovative cognitive test instruments. It also provides insights to translate research knowledge into public policies in order to address socioeconomic issues. And it does so from an international perspective, dedicating a whole section to the cultural diversity of mathematics learning difficulties in different parts of the world. All of this makes the International Handbook of Mathematical Learning Difficulties an essential tool for those involved in the daily struggle to prepare the future generations to succeed in the global knowledge society.
Sorting Math Counts Updated
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Author : Henry Pluckrose
language : en
Publisher: Scholastic Inc.
Release Date : 2021-08-03
Sorting Math Counts Updated written by Henry Pluckrose and has been published by Scholastic Inc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-03 with Juvenile Nonfiction categories.
An introduction to capacity for the youngest readers! Math Counts series introduces young readers (grades K-3) to early math concepts. Real-world examples and corresponding photos make math concepts easy to grasp. When things are sorted together, they are called a set. Things that make up a set have something in common.