Author : Marnia Lazreg
Publisher : Routledge
Page : 171 pages
File Size : 49,30 MB
Release : 2019-03-04
Category : Political Science
ISBN : 042972621X
This book seeks to determine the impact of colonialism on the evolution of social classes in Algeria from 1830 to the present, and to analyze the relationship between classes and political and economic development.
Author : John Rees
Publisher : Routledge
Page : 316 pages
File Size : 48,6 MB
Release : 2005-06-23
Category : Philosophy
ISBN : 1134639287
The Algebra of Revolution is the first book to study Marxist method as it has been developed by the main representatives of the classical Marxist tradition, namely Marx and Engels, Luxembourg, Lenin, Lukacs, Gramsci and Trotsky. This book provides the only single volume study of major Marxist thinkers' views on the crucial question of the dialectic, connecting them with pressing contemporary, political and theoretical questions. John Rees's The Algebra of Revolution is vital reading for anyone interested in gaining a new and fresh perspective on Marxist thought and on the notion of the dialectic.
Author : Robert C Bishop
Publisher : Morgan & Claypool Publishers
Page : 112 pages
File Size : 50,88 MB
Release : 2019-06-04
Category : Science
ISBN : 1643271563
A standard view of elementary particles and forces is that they determine everything else in the rest of physics, the whole of chemistry, biology, geology, physiology and perhaps even human behavior. This reductive view of physics is popular among some physicists. Yet, there are other physicists who argue this is an oversimplified and that the relationship of elementary particle physics to these other domains is one of emergence. Several objections have been raised from physics against proposals for emergence (e.g., that genuinely emergent phenomena would violate the standard model of elementary particle physics, or that genuine emergence would disrupt the lawlike order physics has revealed). Many of these objections rightly call into question typical conceptions of emergence found in the philosophy literature. This book explores whether physics points to a reductive or an emergent structure of the world and proposes a physics-motivated conception of emergence that leaves behind many of the problematic intuitions shaping the philosophical conceptions. Examining several detailed case studies reveal that the structure of physics and the practice of physics research are both more interesting than is captured in this reduction/emergence debate. The results point to stability conditions playing a crucial though underappreciated role in the physics of emergence. This contextual emergence has thought-provoking consequences for physics and beyond, and will be of interest to physics students, researchers, as well as those interested in physics.
Author : N. Bednarz
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 42,21 MB
Release : 2012-12-06
Category : Education
ISBN : 9400917325
In Greek geometry, there is an arithmetic of magnitudes in which, in terms of numbers, only integers are involved. This theory of measure is limited to exact measure. Operations on magnitudes cannot be actually numerically calculated, except if those magnitudes are exactly measured by a certain unit. The theory of proportions does not have access to such operations. It cannot be seen as an "arithmetic" of ratios. Even if Euclidean geometry is done in a highly theoretical context, its axioms are essentially semantic. This is contrary to Mahoney's second characteristic. This cannot be said of the theory of proportions, which is less semantic. Only synthetic proofs are considered rigorous in Greek geometry. Arithmetic reasoning is also synthetic, going from the known to the unknown. Finally, analysis is an approach to geometrical problems that has some algebraic characteristics and involves a method for solving problems that is different from the arithmetical approach. 3. GEOMETRIC PROOFS OF ALGEBRAIC RULES Until the second half of the 19th century, Euclid's Elements was considered a model of a mathematical theory. This may be one reason why geometry was used by algebraists as a tool to demonstrate the accuracy of rules otherwise given as numerical algorithms. It may also be that geometry was one way to represent general reasoning without involving specific magnitudes. To go a bit deeper into this, here are three geometric proofs of algebraic rules, the frrst by Al-Khwarizmi, the other two by Cardano.
Author : Susan J. Lamon
Publisher : Routledge
Page : 254 pages
File Size : 45,34 MB
Release : 2006-08-15
Category : Education
ISBN : 1135606781
This popular text addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking--without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: *even more student work incorporated in every chapter; *discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; *an increased emphasis on measurement; *expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; *clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and *content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE--a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems--with and without solutions--that instructors may find helpful for assessment purposes.
Author : Geoff Krall
Publisher : Taylor & Francis
Page : 362 pages
File Size : 15,53 MB
Release : 2023-10-10
Category : Education
ISBN : 1003839835
During his years working as an instructional coach for a national network of schools, Geoff Krall had the chance to witness several inspirational moments when math class comes alive for middle or high school students - when it is challenging but also fun, creative, and interactive. In Necessary Conditions: Teaching Secondary Math with Academic Safety, Quality Tasks, and Effective Facilitation, Krall documents the essential ingredients that produce these sorts of moments on a regular basis and for all students. They are Academic Safety, Quality Tasks, and Effective Facilitation. Academic Safety: Krall implements equitable classroom experiences that help fight stigmas associated with race and gender in schools. This allows students to feel socially and emotionally secure while nurturing their identities as mathematicians and increasing engagement during classroom discussions Quality Tasks: Teachers can adapt or create dynamic, student-centered lessons that break down math into small, manageable sections, removing the frustrations felt by students who aren't considered math people Effective Facilitation: This book shows how to incorporate teaching moves and math routines designed for engagement, persistence, and interactivity. Teachers can allow students to explore safely while maintaining consistent classroom expectations. "My work as a math instructional coach for a network of schools has afforded me the unique opportunity to visit exceptional teachers across the country, documenting their tasks, teaching moves, and academically safe learning environments. You'll experience dispatches from these effective classrooms in which we'll observe how teachers attend to all three elements that make up the ecosystem." - Geoff Krall from his book, Necessary Conditions.
Author : Ilias S. Kotsireas
Publisher : Springer
Page : 513 pages
File Size : 13,58 MB
Release : 2017-07-26
Category : Mathematics
ISBN : 3319569325
The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra. This volume provides the latest developments in the field as well as its applications in various domains, including communications, modelling, and theoretical physics. The book will appeal to researchers and professors of computer algebra, applied mathematics, and computer science, as well as to engineers and computer scientists engaged in research and development.
Author : Torsten Fritzlar
Publisher : WTM-Verlag Münster
Page : 250 pages
File Size : 30,24 MB
Release : 2016-06-30
Category : Juvenile Nonfiction
ISBN : 3959870132
From 3rd to 5th of September 2015 the 17th international ProMath conference (Problem Solving in Mathematics Education) took place at the Faculty of Education of the Martin Luther University Halle-Wittenberg (Germany). For the first time, it was combined with the annual meeting of the working group “Problem Solving” of the Society of Didactics of Mathematics. This book contains 20 peer reviewed articles of researchers from five European countries. The topics of the papers evolved around different areas of learning and problem solving. There are some theoretical papers on problem oriented mathematics instruction and specific aspects of problem solving and creativity as well as reports on detailed studies of problem solving processes of pupils and preservice teachers. Authors also present experiences with “real” problem solving instruction in different countries, considerations and teaching experiments on didactic concepts to foster pupils’ problem solving abilities, and they describe mathematically rich problem fields and their potentials for mathematical investigations in class. ProMath is a group of experienced and early career researchers in the field of mathematics education who are interested in investigating and fostering mathematical problem solving and problem oriented mathematics teaching.
Author : Hyman Bass
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 26,16 MB
Release : 1999
Category : Mathematics
ISBN : 0821810871
This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic $K$-theory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field. Of particular note is a professional autobiography of Professor Bass, and an article by Deborah Ball on mathematical education. The range of subjects covered in the book offers a convenient single source for topics in the field.
Author : Carlo A Trugenberger
Publisher : World Scientific
Page : 249 pages
File Size : 41,97 MB
Release : 2022-04-19
Category : Science
ISBN : 9811250979
In 1931 Dirac showed that topologically quantized single magnetic charges, magnetic monopoles, while classically forbidden in a gauge theory, are allowed alongside electric charges in a quantum theory of electromagnetism. Such topological magnetic excitations are indeed admitted in the spectrum of most grand unified field theories of elementary interactions. Despite 40 years of dedicated search efforts, nonetheless, they have never shown up in any experiment. This, however, does not preclude the possibility of topological magnetic monopoles being realized as excitations in emergent condensed matter states, where they would be much lighter and easier to create.This book is about the physical effects of such emergent magnetic monopoles. These range from a new mechanism for local, strong pairing of electrons possibly relevant for high-T superconductivity, to the formation of a new quantum phase of matter when monopoles condense. In such a condensate the electric interaction becomes extremely strong, so much so that only extended neutral states survive, with the consequence of an infinite resistance, even at finite temperatures. This state, called a superinsulator, is a dual superconductor and has been experimentally detected in various materials. In a superinsulator the electric interaction becomes analogous to the strong interaction holding quarks together in colour-neutral hadrons. Even more interesting is the case when the condensate carries both magnetic and electric charge. The ensuing state has properties that are strikingly reminiscent of the mysterious pseudogap state of high-T superconductors. Magnetic monopoles might thus have been hiding in plain sight where no one was looking for them for a long time.
