A Boole Anthology

A Boole Anthology
Author: James Gasser
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2013-11-11
Genre: Philosophy
ISBN: 940159385X

Modern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.

The Stand-In a Boolean Picture Book

The Stand-In a Boolean Picture Book
Author: Dave Farbrook
Publisher:
Total Pages:
Release: 2022-05-29
Genre:
ISBN: 9781737807650

Carl Fernbach-Flarsheim was intensely involved in international concrete poetry and intermedia for a decade beginning in the 1960s. His exchanges with John Cage, Ian Hamilton Findlay, Dick Higgins, Jackson MacLow, and others proved his many vanguard interactions. In 1970, Carl Fernbach-Flarsheim (using his Sage Name, HiKaLu), began his studies of the Kototama Principle. His Art followed his philosophical beliefs that revolutionized his concepts of concrete poetry. Fernbach-Flarsheim describes a whole new way of seeing the world, the cosmos, and the progress of civilization. HiKaLu diagramed the action of the sounds as he learned from his teacher who wrote, "We have only 5 dimensions [5 senses to observe the] world in us, and it is the all of [what we call] Universe, then once you can see it clearly, there is no more [and we can live] fearless." If we consider the human being a micro-cosmos, we perceive this phenomenon in a specific way and to our own sensors we look, smell, feel, etc. in a manner that articulates to us "me." What is the "me" of the solar system? Or a galaxy? By use of the Boolean Image, we can simulate such a "me."

Introduction to Boolean Algebras

Introduction to Boolean Algebras
Author: Steven Givant
Publisher: Springer Science & Business Media
Total Pages: 589
Release: 2008-12-02
Genre: Mathematics
ISBN: 0387402934

This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.

Boolean Algebra and Its Applications

Boolean Algebra and Its Applications
Author: J. Eldon Whitesitt
Publisher: Courier Corporation
Total Pages: 194
Release: 2012-05-24
Genre: Mathematics
ISBN: 0486158160

Introductory treatment begins with set theory and fundamentals of Boolean algebra, proceeding to concise accounts of applications to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory. 1961 edition.

Computers and Exploratory Learning

Computers and Exploratory Learning
Author: Andrea A. DiSessa
Publisher: Springer Science & Business Media
Total Pages: 484
Release: 2012-12-06
Genre: Education
ISBN: 3642577997

Computers are playing a fundamental role in enhancing exploratory learning techniques in education. This volume in the NATO Special Programme on Advanced Educational Technology covers the state of the art in the design and use of computer systems for exploratory learning. Contributed chapters treat principles, theory, practice, and examples of some of the best contemporary computer-based learning environments: Logo, Boxer, Microworlds, Cabri-Géomètre, Star Logo, Table Top, Geomland, spreadsheets, Function Machines, and others. Emphasis is on mathematics and science education. Synthetic chapters provide an overview of the current scene in computers and exploratory learning, and analyses from the perspectives of epistemology, learning, and socio-cultural studies.

Aspects of Teaching Secondary Mathematics

Aspects of Teaching Secondary Mathematics
Author: Linda Haggarty
Publisher: Routledge
Total Pages: 307
Release: 2003-09-02
Genre: Education
ISBN: 1134500963

If learners in the classroom are to be excited by mathematics, teachers need to be both well informed about current initiatives and able to see how what is expected of them can be translated into rich and stimulating classroom strategies. The book examines current initiatives that affect teaching mathematics and identifies pointers for action in the classroom. Divided into three major sections, it looks at: the changing mathematics classroom at primary, secondary and tertiary level major components of the secondary curriculum practical pedagogical issues of particular concern to mathematics teachers. Each issue is explores in terms of major underpinnings and research in that area, and practical ideas can be drawn from the text and implemented in the reader's classroom practice. Each chapter has been written by a well-respected writer, researcher and practitioner in their field and all share a common goal: to look thoughtfully and intelligently at some of the practical issues facing mathematics teachers and offer their perspectives on those issues.

Modern Mathematics

Modern Mathematics
Author: Dirk De Bock
Publisher: Springer Nature
Total Pages: 615
Release: 2023-03-08
Genre: Education
ISBN: 3031111664

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.