Les grands problèmes mathématiques

Les grands problèmes mathématiques PDF Author: Joaquín Navarro
Publisher:
ISBN: 9782823701388
Category :
Languages : fr
Pages : 179

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Book Description

Les grands problèmes mathématiques

Les grands problèmes mathématiques PDF Author: Joaquín Navarro
Publisher:
ISBN: 9782823701388
Category :
Languages : fr
Pages : 179

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Book Description


Problem Posing and Problem Solving in Mathematics Education

Problem Posing and Problem Solving in Mathematics Education PDF Author: Tin Lam Toh
Publisher: Springer Nature
ISBN: 9819972051
Category : Mathematics
Languages : en
Pages : 263

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Book Description
This book presents both theoretical and empirical contributions from a global perspective on problem solving and posing (PS/PP) and their application, in relation to the teaching and learning of mathematics in schools. The chapters are derived from selected presentations in the PS/PP Topical Study Group in ICME14. Although mathematical problem posing is a much younger field of inquiry in mathematics education, this topic has grown rapidly. The mathematics curriculum frameworks in many parts of the world have incorporated problem posing as an instructional focus, building on problem solving as its foundation. The juxtaposition of problem solving and problem posing in mathematics presented in this book addresses the needs of the mathematics education research and practice communities at the present day. In particular, this book aims to address the three key points: to present an overview of research and development regarding students’ mathematical problem solving and posing; to discuss new trends and developments in research and practice on these topics; and to provide insight into the future trends of mathematical problem solving and posing.

Mathematical Problem Solving

Mathematical Problem Solving PDF Author: Peter Liljedahl
Publisher: Springer
ISBN: 3030104729
Category : Education
Languages : en
Pages : 361

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Book Description
This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Problems and Proofs in Numbers and Algebra

Problems and Proofs in Numbers and Algebra PDF Author: Richard S. Millman
Publisher: Springer
ISBN: 3319144278
Category : Mathematics
Languages : en
Pages : 230

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Book Description
Focusing on an approach of solving rigorous problems and learning how to prove, this volume is concentrated on two specific content themes, elementary number theory and algebraic polynomials. The benefit to readers who are moving from calculus to more abstract mathematics is to acquire the ability to understand proofs through use of the book and the multitude of proofs and problems that will be covered throughout. This book is meant to be a transitional precursor to more complex topics in analysis, advanced number theory, and abstract algebra. To achieve the goal of conceptual understanding, a large number of problems and examples will be interspersed through every chapter. The problems are always presented in a multi-step and often very challenging, requiring the reader to think about proofs, counter-examples, and conjectures. Beyond the undergraduate mathematics student audience, the text can also offer a rigorous treatment of mathematics content (numbers and algebra) for high-achieving high school students. Furthermore, prospective teachers will add to the breadth of the audience as math education majors, will understand more thoroughly methods of proof, and will add to the depth of their mathematical knowledge. In the past, PNA has been taught in a "problem solving in middle school” course (twice), to a quite advanced high school students course (three semesters), and three times as a secondary resource for a course for future high school teachers. PNA is suitable for secondary math teachers who look for material to encourage and motivate more high achieving students.

Problem Solving in Mathematics Education

Problem Solving in Mathematics Education PDF Author: Torsten Fritzlar
Publisher: WTM-Verlag Münster
ISBN: 3959870132
Category : Juvenile Nonfiction
Languages : en
Pages : 250

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Book Description
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.

Évaluations nationales des acquis scolaires, Volume 5

Évaluations nationales des acquis scolaires, Volume 5 PDF Author: Thomas Kellaghan
Publisher: World Bank Publications
ISBN: 1464805164
Category : Education
Languages : en
Pages : 201

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Book Description
L'évaluation efficace de la performance des systèmes éducatifs est un élément essentiel de la mise au point de politiques visant à optimiser le développement du capital humain dans le monde. Les cinq manuels de la collection Évaluations nationales des acquis scolaires introduisent les concepts clés des évaluations nationales du niveau de performances des élèves, dont les questions politiques à traiter dans la conception et la mise en 'uvre des évaluations ou le développement d'un test, la conception d'un questionnaire, l'échantillonnage, l'organisation et la mise en 'uvre de la collecte de données, le nettoyage et l'analyse statistique des données, la rédaction de rapports et l'exploitation des résultats pour améliorer la qualité de l'éducation. Qu'apprennent les élèves ' Dans le monde, les gouvernements qui aspirent à améliorer la qualité de l'éducation se tournent vers les évaluations nationales pour obtenir ces informations si précieuses dans les domaines clés des programmes de cours. La capacité à mener des évaluations nationales s'est remarquablement renforcée ces dernières années, mais l'utilisation généralisée des conclusions n'a pas suivi. Ce manuel vise à démontrer la valeur essentielle de ces données et à assister les pays dans l'exploitation des connaissances issues des évaluations nationales. Communiquer et utiliser les résultats d'une évaluation nationale des acquis scolaires recense les principaux facteurs qui affectent l'utilisation des constatations des évaluations nationales. Ceux-ci comprennent le contexte politique dans lequel une évaluation est menée, la nature de l'évaluation (sur la base d'un recensement ou d'un échantillon), les responsabilités de chacun vis-à -vis des résultats, et la qualité des instruments d'évaluation. Le manuel décrit le type d'informations requises dans le rapport principal d'une évaluation nationale, et d'autres moyens de communiquer les conclusions aux publics techniques et non techniques. Il énonce les principes généraux à suivre pour traduire les résultats des évaluations nationales dans le cadre de politiques et de mesures, et examine les procédures spécifiques d'utilisation des données dans l'élaboration de politiques, la gestion de l'éducation, l'enseignement et la promotion de la sensibilisation du public. Les thèmes traités dans ce volume sont de nature à intéresser les responsables des politiques, les équipes pédagogiques, les chercheurs et les professionnels du développement.

Nonlinear Analysis

Nonlinear Analysis PDF Author: Qamrul Hasan Ansari
Publisher: Springer
ISBN: 8132218833
Category : Mathematics
Languages : en
Pages : 362

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Book Description
Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Obstacle Problems in Mathematical Physics

Obstacle Problems in Mathematical Physics PDF Author: J.-F. Rodrigues
Publisher: Elsevier
ISBN: 008087245X
Category : Mathematics
Languages : en
Pages : 369

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Book Description
The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics.The first part of the volume introduces some obstacle type problems which can be reduced to variational inequalities. Part II presents some of the main aspects of the theory of elliptic variational inequalities, from the abstract hilbertian framework to the smoothness of the variational solution, discussing in general the properties of the free boundary and including some results on the obstacle Plateau problem. The last part examines the application to free boundary problems, namely the lubrication-cavitation problem, the elastoplastic problem, the Signorini (or the boundary obstacle) problem, the dam problem, the continuous casting problem, the electrochemical machining problem and the problem of the flow with wake in a channel past a profile.

Méthodes mathématiques et numériques pour les équations aux dérivées partielles

Méthodes mathématiques et numériques pour les équations aux dérivées partielles PDF Author: CHASKALOVIC Joël
Publisher: Lavoisier
ISBN: 2743064803
Category :
Languages : en
Pages : 382

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Book Description
Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.

A Challenge for Mathematics Education

A Challenge for Mathematics Education PDF Author:
Publisher: Grao
ISBN: 8478275495
Category : Education
Languages : en
Pages : 460

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Book Description
Fruto de un encuentro celebrado en Vilanova i la Geltrú (España) en julio de 2002, el libro que presentamos hoy, trata uno de los temas de gran importancia para la reflexión pedagógica actual: el papel de la globalización, vehiculado por lo sugerente de lo común y de lo diverso en educación matemática y sus desafíos.