Unit S Actives Et Math Matiques Nouvelles

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Teaching School Mathematics

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Author : Willy Servais
language : en
Publisher: Harmondsworth : Penguin
Release Date : 1971

Teaching School Mathematics written by Willy Servais and has been published by Harmondsworth : Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Education categories.

To Understand Is To Invent

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Author : Jean Piaget
language : en
Publisher:
Release Date : 1980

To Understand Is To Invent written by Jean Piaget and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.

Teaching And Learning About Whole Numbers In Primary School

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Author : Pi-Jen Lin
language : en
Publisher:
Release Date : 2020-10-08

Teaching And Learning About Whole Numbers In Primary School written by Pi-Jen Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-08 with Education categories.

This book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished - the analytical meaning, defined by the number system, and the representational meaning, identified by the use of numbers as conventional signs that stand for quantities. This framework makes it possible to compare different approaches to making numbers meaningful in the classroom and contrast the outcomes of these diverse aspects of teaching. The book identifies themes and trends in empirical research on the teaching and learning of whole numbers since the launch of the major journals in mathematics education research in the 1970s. It documents a shift in focus in the teaching of arithmetic from research about teaching written algorithms to teaching arithmetic in ways that result in flexible approaches to calculation. The analysis of studies on quantitative reasoning reveals classifications of problem types that are related to different cognitive demands and rates of success in both additive and multiplicative reasoning. Three different approaches to quantitative reasoning education illustrate current thinking on teaching problem solving: teaching reasoning before arithmetic, schema-based instruction, and the use of pre-designed diagrams. The book also includes a summary of contemporary approaches to the description of the knowledge of numbers and arithmetic that teachers need to be effective teachers of these aspects of mathematics in primary school. The concluding section includes a brief summary of the major themes addressed and the challenges for the future.The new theoretical framework presented offers researchers in mathematics education novel insights into the differences between empirical studies in this domain. At the same time the description of the two meanings of numbers helps teachers distinguish between the different aims of teaching about numbers supported by diverse methods used in primary school. The framework is a valuable tool for comparing the different methods and identifying the various assumptions about teaching and learning. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

Measure Integral And Probability

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Author : Marek Capinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Measure Integral And Probability written by Marek Capinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.

This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.

Approaches To Algebra

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Author : N. Bednarz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Approaches To Algebra written by N. Bednarz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.

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.

Scientific Unit Conversion

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Author : Francois Cardarelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Scientific Unit Conversion written by Francois Cardarelli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Expanded, revised and updated here, this detailed guide is truly unique, giving accurate metric equivalents and conversion factors for no fewer than 10,000 scientific units with detailed descriptions of over 2,000. It covers the whole spectrum of science, technology and medicine, and deals with US, British, conventional metric, historic and SI units. The pocket-sized format and slot-in user guide bookmark makes it handy and user-friendly, a great time-saver, and a perfect addition to any research department, engineers , scientists or students library.

Theory Of Didactical Situations In Mathematics

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Author : Guy Brousseau
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11

Theory Of Didactical Situations In Mathematics written by Guy Brousseau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Education categories.

This book is unique. It gathers texts which give the best presentation of the principles and key concepts of the Theory of Didactical Situations that Guy Brousseau developed in the period from 1970 to 1990. These texts provide a comprehensive presentation of the Theory. In order to facilitate the reading of certain points footnotes have been added, as well as preludes and interludes to place in context the chosen texts and clarify the construction of the book.

Mathematics Ideas And The Physical Real

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Author : Albert Lautman
language : en
Publisher: A&C Black
Release Date : 2011-06-02

Mathematics Ideas And The Physical Real written by Albert Lautman and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-02 with Philosophy categories.

Albert Lautman (1908-1944) was a French philosopher of mathematics whose work played a crucial role in the history of contemporary French philosophy. His ideas have had an enormous influence on key contemporary thinkers including Gilles Deleuze and Alain Badiou, for whom he is a major touchstone in the development of their own engagements with mathematics. Mathematics, Ideas and the Physical Real presents the first English translation of Lautman's published works between 1933 and his death in 1944. Rather than being preoccupied with the relation of mathematics to logic or with the problems of foundation, which have dominated philosophical reflection on mathematics, Lautman undertakes to develop an understanding of the broader structure of mathematics and its evolution. The two powerful ideas that are constants throughout his work, and which have dominated subsequent developments in mathematics, are the concept of mathematical structure and the idea of the essential unity underlying the apparent multiplicity of mathematical disciplines. This collection of his major writings offers readers a much-needed insight into his influence on the development of mathematics and philosophy.

Hyperbolic Problems

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Author : American Institute of Mathematical Sciences
language : en
Publisher:
Release Date : 2014

Hyperbolic Problems written by American Institute of Mathematical Sciences and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Differential equations, Hyperbolic categories.

Le Grand Dictionnaire Hachette Oxford

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Author : Marie-Hélène Corréard
language : en
Publisher: OUP Oxford
Release Date : 2007-05-10

Le Grand Dictionnaire Hachette Oxford written by Marie-Hélène Corréard and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-10 with Foreign Language Study categories.

A book that lists French language words and gives their equivalent in English, and English language words with their equivalent in French.