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New Perspectives in Algebra, Topology and Categories

New Perspectives in Algebra, Topology and Categories
Author: Maria Manuel Clementino
Publisher: Springer Nature
Total Pages: 266
Release: 2021-10-16
Genre: Mathematics
ISBN: 303084319X

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This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.


Perspectives on School Algebra

Perspectives on School Algebra
Author: Rosamund Sutherland
Publisher: Springer Science & Business Media
Total Pages: 277
Release: 2006-02-16
Genre: Education
ISBN: 0306472236

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This book confronts the issue of how young people can find a way into the world of algebra. It represents multiple perspectives which include an analysis of situations in which algebra is an efficient problem-solving tool, the use of computer-based technologies, and a consideration of the historical evolution of algebra. The book emphasizes the situated nature of algebraic activity as opposed to being concerned with identifying students' conceptions in isolation from problem-solving activity.


Educational Algebra

Educational Algebra
Author: Eugenio Filloy
Publisher: Springer Science & Business Media
Total Pages: 302
Release: 2007-10-12
Genre: Education
ISBN: 0387712542

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This book takes a theoretical perspective on the study of school algebra, in which both semiotics and history occur. The Methodological design allows for the interpretation of specific phenomena and the inclusion of evidence not addressed in more general treatments. The book gives priority to "meaning in use" over "formal meaning". These approaches and others of similar nature lead to a focus on competence rather than a user’s activity with mathematical language.


Early Algebraization

Early Algebraization
Author: Jinfa Cai
Publisher: Springer Science & Business Media
Total Pages: 631
Release: 2011-02-24
Genre: Education
ISBN: 3642177352

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In this volume, the authors address the development of students’ algebraic thinking in the elementary and middle school grades from curricular, cognitive, and instructional perspectives. The volume is also international in nature, thus promoting a global dialogue on the topic of early Algebraization.


School Algebra (Classic Reprint)

School Algebra (Classic Reprint)
Author: H. L. Rietz
Publisher: Forgotten Books
Total Pages: 254
Release: 2017-06-27
Genre: Mathematics
ISBN: 9780282678111

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Excerpt from School Algebra This Algebra is the second volume of a series of two books. It contains material for a half-year course and presupposes a year's work such as is provided in the authors' First Course, or any similar text. Since, in many schools, a year or more intervenes between the first and second courses in algebra, it has been deemed advisable to include a review of the First Course before proceeding to new subjects. This part of the book is, however, more than a mere hasty resume. While the student is reviewing the topics of the first year, he is at the same time making a distinct advance by seeing the subject from new view-points, which his added maturity and training enable him to appreciate. The selection of new topics in this Second Course is in accord with current practice in the best high schools. While the book contains material for thorough preparation for college, the authors have not had in mind solely the students making such preparation, but rather the great body of students who will go no further in our educational system than the high school. The chapter devoted to the notion of a function is introduced in 0 the belief that the high school student should become somewhat familiar with the idea Of the correspondence between two re lated variables. Along with the notion of a function, the graph is presented with a View to leading the students to picture and to visualize this correspondence. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Secondary Algebra Education: Revisiting Topics and Themes and Exploring the Unknown

Secondary Algebra Education: Revisiting Topics and Themes and Exploring the Unknown
Author: Paul Drijvers
Publisher: Springer Science & Business Media
Total Pages: 229
Release: 2011-10-19
Genre: Education
ISBN: 9460913342

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Nowadays, algebra education is subject to worldwide scrutiny. Different opinions on its goals, approaches and achievements are at the heart of debates among teachers, educators, researchers and decision makers. What should the teaching of algebra in secondary school mathematics look like? Should it focus on procedural skills or on algebraic insight? Should it stress practice or integrate technology? Do we require formal proofs and notations, or do informal representations suffice? Is algebra in school an abstract subject, or does it take its relevance from application in (daily life) contexts? What should secondary school algebra education that prepares for higher education and professional practice in the twenty-first century look like? This book addresses these questions, and aims to inform in-service and future teachers, mathematics educators and researchers on recent insights in the domain, and on specific topics and themes such as the historical development of algebra, the role of productive practice, and algebra in science and engineering in particular. The authors, all affiliated with the Freudenthal Institute for Science and Mathematics Education in the Netherlands, share a common philosophy, which acts as a ? sometimes nearly invisible ? backbone for the overall view on algebra education: the theory of realistic mathematics education. From this point of departure, different perspectives are chosen to describe the opportunities and pitfalls of today’s and tomorrow’s algebra education. Inspiring examples and reflections illustrate current practice and explore the unknown future of algebra education to appropriately meet students’ needs.


The Future of the Teaching and Learning of Algebra

The Future of the Teaching and Learning of Algebra
Author: Kaye Stacey
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 2006-04-11
Genre: Education
ISBN: 1402081316

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Kaye Stacey‚ Helen Chick‚ and Margaret Kendal The University of Melbourne‚ Australia Abstract: This section reports on the organisation‚ procedures‚ and publications of the ICMI Study‚ The Future of the Teaching and Learning of Algebra. Key words: Study Conference‚ organisation‚ procedures‚ publications The International Commission on Mathematical Instruction (ICMI) has‚ since the 1980s‚ conducted a series of studies into topics of particular significance to the theory and practice of contemporary mathematics education. Each ICMI Study involves an international seminar‚ the “Study Conference”‚ and culminates in a published volume intended to promote and assist discussion and action at the international‚ national‚ regional‚ and institutional levels. The ICMI Study running from 2000 to 2004 was on The Future of the Teaching and Learning of Algebra‚ and its Study Conference was held at The University of Melbourne‚ Australia fromDecember to 2001. It was the first study held in the Southern Hemisphere. There are several reasons why the future of the teaching and learning of algebra was a timely focus at the beginning of the twenty first century. The strong research base developed over recent decades enabled us to take stock of what has been achieved and also to look forward to what should be done and what might be achieved in the future. In addition‚ trends evident over recent years have intensified. Those particularly affecting school mathematics are the “massification” of education—continuing in some countries whilst beginning in others—and the advance of technology.


A First Book in Algebra

A First Book in Algebra
Author: Wallace Clarke Boyden
Publisher:
Total Pages: 188
Release: 1894
Genre: Algebra
ISBN:

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Mathematics for High School Teachers

Mathematics for High School Teachers
Author: Zalman Usiskin
Publisher: Prentice Hall
Total Pages: 616
Release: 2003
Genre: Education
ISBN:

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For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.