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Teaching Fractions through Situations: A Fundamental Experiment

Teaching Fractions through Situations: A Fundamental Experiment PDF Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 9400727151
Category : Education
Languages : en
Pages : 226

Book Description
This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of adventures that were astonishing for both the students and the teachers: the reinvention of fractions and of decimal numbers in a sequence of lessons and situations that permitted the students to construct the concepts for themselves. The book leads the reader through the highlights of the sequence's structure and some of the reasoning behind the lesson choices. It then presents explanations of some of the principal concepts of the Theory of Situations. In the process, it offers the reader the opportunity to join a lively set of fifth graders as they experience a particularly attractive set of lessons and master a topic that baffles many of their contemporaries.

Maths for Chemistry

Maths for Chemistry PDF Author: Paul Monk
Publisher: Oxford University Press, USA
ISBN: 0199541299
Category : Mathematics
Languages : en
Pages : 561

Book Description
Maths for Chemistry recognizes the challenges faced by many students in equipping themselves with the maths skills needed to gain a full understanding of chemistry, offering a carefully-structured and steadily-paced introduction to the essential mathematical concepts all chemistry students should master.

Teaching Fractions through Situations: A Fundamental Experiment

Teaching Fractions through Situations: A Fundamental Experiment PDF Author: Guy Brousseau
Publisher: Springer Science & Business Media
ISBN: 9400727151
Category : Education
Languages : en
Pages : 226

Book Description
This work presents one of the original and fundamental experiments of Didactique, a research program whose underlying tenet is that Mathematics Education research should be solidly based on scientific observation. Here the observations are of a series of adventures that were astonishing for both the students and the teachers: the reinvention of fractions and of decimal numbers in a sequence of lessons and situations that permitted the students to construct the concepts for themselves. The book leads the reader through the highlights of the sequence's structure and some of the reasoning behind the lesson choices. It then presents explanations of some of the principal concepts of the Theory of Situations. In the process, it offers the reader the opportunity to join a lively set of fifth graders as they experience a particularly attractive set of lessons and master a topic that baffles many of their contemporaries.

Bulletin Canadien de Mathématiques

Bulletin Canadien de Mathématiques PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 556

Book Description
Contains Proceedings of the Canadian Mathematical Congress, 6th- 1963-

Teaching Multiplication with Lesson Study

Teaching Multiplication with Lesson Study PDF Author: Masami Isoda
Publisher: Springer Nature
ISBN: 3030285618
Category : Education
Languages : en
Pages : 302

Book Description
This open access book is intended to assist teachers, teacher trainers, curriculum designers, editors and authors of textbooks in developing strategies to teach the multiplication of natural numbers based on the experience of the Lesson Study in Japan. This approach to mathematics education dates back to the 1870s and reconciles the emphasis on problem solving with the treatment of the curricular contents. It has gained international recognition since the 1990s and thanks to it mathematics education in Japan has been recognized as one of the most efficient and innovative in the world. This growing international awareness has led to an effort to apply the principles of Lesson Study to other parts of the world and this book shows how experienced authors from Brazil, Chile, Mexico, Spain and Portugal have worked to adapt some of these methods and techniques to the Portuguese and Spanish speaking countries of Ibero-America. Drawing on the impact of Lesson Study on government curriculum decisions and teacher behavior in Japanese classrooms; offering examples of lessons, lesson plans and suggestions for teaching; and presenting examples of the good reception of the principles of Lesson Study in Ibero-America, Teaching Multiplication with Lesson Study – Japanese and Ibero-American Theories for Mathematics Education shows how an efficient and cutting-edge experience in mathematics education can travel the world and help teachers in many different countries.

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Lecture Notes on the Mathematical Theory of the Boltzmann Equation PDF Author: N. Bellomo
Publisher: World Scientific
ISBN: 9789810221669
Category : Science
Languages : en
Pages : 276

Book Description
This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

Trends in Teaching and Learning of Mathematical Modelling

Trends in Teaching and Learning of Mathematical Modelling PDF Author: Gabriele Kaiser
Publisher: Springer Science & Business Media
ISBN: 9400709102
Category : Education
Languages : en
Pages : 711

Book Description
This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 2009, the book describes the latest trends in the teaching and learning of mathematical modelling at school and university including teacher education. The broad and versatile range of topics will stress the international state-of-the-art on the following issues: Theoretical reflections on the teaching and learning of modelling Modelling competencies Cognitive perspectives on modelling Modelling examples for all educational levels Practice of modelling in school and at university level Practices in Engineering and Applications

Math Education for America?

Math Education for America? PDF Author: Mark Wolfmeyer
Publisher: Routledge
ISBN: 1134673779
Category : Education
Languages : en
Pages : 209

Book Description
Math Education for America? analyzes math education policy through the social network of individuals and private and public organizations that influence it in the United States. The effort to standardize a national mathematics curriculum for public schools in the U.S. culminated in 2010 when over 40 states adopted the Common Core State Standards for Mathematics. Rather than looking at the text of specific policy documents, this book complements existing critical reviews of the national math education curriculum by employing a unique social network analysis. Breaking new ground in detailing and theorizing the politics of math education, Wolfmeyer argues that the private interests of this network are closely tied to a web of interrelated developments: human capital education policy, debates over traditional and reform pedagogy, the assumed content knowledge deficit of math teachers, and the proliferation of profit-driven educational businesses. By establishing the interconnectedness of these interests with the national math education curriculum, he shows how the purported goals of math education reform are aligned with the prevailing political agendas of this social network rather than the national interest.

Les Témoins du Temps

Les Témoins du Temps PDF Author: Damien Bournac
Publisher: Lulu.com
ISBN: 1445263106
Category : Fiction
Languages : en
Pages : 376

Book Description
Leslie est une jeune femme comme les autres, du moins c'est ce qu'elle croit... Sans le savoir, elle possede certaines capacites hors normes dont elle se sert pour aider les gens, parfois meme en leur sauvant la vie. C'est ce qui lui vaut d'etre reperee par le colonel Campbell. Apres l'avoir observee a chaque moment crucial de sa vie, il decide de lui proposer de se joindre a son equipe d'elite. Leur objectif: etudier mais surtout proteger le temps. Sceptique au debut, Leslie se laissera pourtant convaincre de le suivre et se retrouvera plongee dans un conflit temporel sans precedent. Car un redoutable ennemi disparu depuis pres d'un millenaire refait surface, bien decide a modifier le passe a son avantage. Un groupuscule qui ne recule devant rien. La Confrerie des Assassins.

Introduction to Operator Space Theory

Introduction to Operator Space Theory PDF Author: Gilles Pisier
Publisher: Cambridge University Press
ISBN: 9780521811651
Category : Mathematics
Languages : en
Pages : 492

Book Description
An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

Quanta of Maths

Quanta of Maths PDF Author: Institut des hautes études scientifiques (Paris, France)
Publisher: American Mathematical Soc.
ISBN: 0821852035
Category : Mathematics
Languages : en
Pages : 695

Book Description
The work of Alain Connes has cut a wide swath across several areas of mathematics and physics. Reflecting its broad spectrum and profound impact on the contemporary mathematical landscape, this collection of articles covers a wealth of topics at the forefront of research in operator algebras, analysis, noncommutative geometry, topology, number theory and physics. Specific themes covered by the articles are as follows: entropy in operator algebras, regular $C^*$-algebras of integral domains, properly infinite $C^*$-algebras, representations of free groups and 1-cohomology, Leibniz seminorms and quantum metric spaces; von Neumann algebras, fundamental Group of $\mathrm{II}_1$ factors, subfactors and planar algebras; Baum-Connes conjecture and property T, equivariant K-homology, Hermitian K-theory; cyclic cohomology, local index formula and twisted spectral triples, tangent groupoid and the index theorem; noncommutative geometry and space-time, spectral action principle, quantum gravity, noncommutative ADHM and instantons, non-compact spectral triples of finite volume, noncommutative coordinate algebras; Hopf algebras, Vinberg algebras, renormalization and combinatorics, motivic renormalization and singularities; cyclotomy and analytic geometry over $F_1$, quantum modular forms; differential K-theory, cyclic theory and S-cohomology.