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Download or read book Uso del lenguaje algebraico en la modelación de problemas extra-algebraicos written by and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : José Abraham de la Fuente Pérez
Publisher :
ISBN 13 : 9788449066856
Total Pages : 323 pages
Book Rating : 4.0/5 (668 download)
Download or read book Construcción del lenguaje algebraico en un entorno de resolución de problemas written by José Abraham de la Fuente Pérez and published by . This book was released on 2016 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Este trabajo constituye una aportación a la investigación en Educación Matemática enmarcada en el conocimiento profesional del profesor de matemáticas. En él estudiamos cómo los profesores usan su conocimiento para ayudar a los alumnos a aprender álgebra a través de la resolución de problemas y cómo la reflexión en grupo y el trabajo en equipo ayudan a los profesores en su formación permanente. Para profundizar en estas ideas, planteamos tres objetivos de logros consecutivos. En primer lugar, diseñamos un conjunto de secuencias de tareas adecuadas para el aprendizaje del lenguaje algebraico a través de la resolución de problemas, implicando en su diseño a todos los profesores que participan en el estudio. Durante la primera fase partimos de unas dimensiones del álgebra escolar que nos permiten formular su aprendizaje en términos de competencia y caracterizar las tareas que ayudan a los alumnos a aprender a usar este lenguaje. En consecuencia, determinamos que el álgebra escolar es el lenguaje necesario para generalizar, formalizar, estudiar estructuras abstractas, expresar relaciones entre variables y modelizar. El segundo objetivo consiste en analizar cómo un grupo de cuatro profesores de 2o de ESO utiliza su conocimiento al implementar en sus aulas una misma secuencia didáctica. Para analizar la práctica docente utilizamos el Knowledge Quartet, una herramienta de análisis que nos ayuda a identificar cómo el profesor muestra el conocimiento en el aula a través de un conjunto de códigos contributivos que en su mayoría se identifican con acciones que realiza el profesor. Estos códigos, a su vez, están clasificados en cuatro dimensiones: fundamentos, transformación, conexión y contingencia. A partir del análisis concluimos que los profesores utilizan de forma natural y habitual conexiones entre diferentes representaciones de un mismo concepto u objeto matemático para dotar de significado a los símbolos algebraicos. Por eso hemos incorporado al Knowledge Quartet un código contributivo inédito al que hemos llamado "conexiones entre representaciones". Finalmente, el tercer objetivo consiste en identificar las características inherentes en la dinámica de trabajo en equipo que este grupo de profesores utiliza para diseñar tareas, implementarlas en el aula y reflexionar sobre su práctica docente. Se desprende de ello, de la misma forma que ocurre con los alumnos, que los profesores interiorizan más significativamente el conocimiento cuando este se adquiere vivencialmente. Son ejemplo de ello la toma de consciencia sobre la importancia de explicitar en el aula la conexión entre representaciones que manifiesta una de las profesoras que participó del estudio, o la interiorización de la destreza heurística "hacer una tabla de valores" para resolver un problema. En definitiva, en este trabajo de tesis mostramos cómo la interacción entre profesores, el trabajo en equipo y la planificación pueden contribuir a mejorar la enseñanza de las matemáticas, que es el fin último de la investigación en el área.
Author : Peter L. Galbraith
Publisher : Springer Science & Business Media
ISBN 13 : 0387298223
Total Pages : 524 pages
Book Rating : 4.3/5 (872 download)
Download or read book Modelling and Applications in Mathematics Education written by Peter L. Galbraith and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.
Author : Ann S. Epstein
Publisher : Conran Octopus
ISBN 13 : 9781938113062
Total Pages : 284 pages
Book Rating : 4.1/5 (13 download)
Download or read book The Intentional Teacher written by Ann S. Epstein and published by Conran Octopus. This book was released on 2014 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Young children and teachers both have active roles in the learning processHow do preschoolers learn and develop? What are the best ways to support learning in the early years? This revised edition of The Intentional Teacher guides teachers to balance both child-guided and adult-guided learning experiences that build on children's interests and focus on what they need to learn to be successful in school and in life.This edition offers new chapters on science, social studies, and approaches to learning. Also included is updated, expanded information on social and emotional development, physical development and health, language and literacy, mathenatics, and the creative arts. In each chapter are many practical teaching strategies that are illustrated with classroom-based anecdotes.The Intentional Teacher encourages readers to- Reflect on their principles and practices- Broaden their thinking about appropriate early curriculum content and instructional methods- Discover specific ideas and teaching strategies for interacting with children in key subject areasIntentional teaching does not happen by chance. This book will help teachers apply their knowledge of children and of content to make thoughtful, intentional use of both child-guided and adult-guided experiences.
Author : Hans Freudenthal
Publisher : Springer Science & Business Media
ISBN 13 : 9401029032
Total Pages : 691 pages
Book Rating : 4.4/5 (1 download)
Download or read book Mathematics as an Educational Task written by Hans Freudenthal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like preludes, prefaces are usually composed last. Putting them in the front of the book is a feeble reflection of what, in the style of mathe matics treatises and textbooks, I usually call thf didactical inversion: to be fit to print, the way to the result should be the inverse of the order in which it was found; in particular the key definitions, which were the finishing touch to the structure, are put at the front. For many years I have contrasted the didactical inversion with the thought-experiment. It is true that you should not communicate your mathematics to other people in the way it occurred to you, but rather as it could have occurred to you if you had known then what you know now, and as it would occur to the student if his learning process is being guided. This in fact is the gist of the lesson Socrates taught Meno's slave. The thought-experi ment tries to find out how a student could re-invent what he is expected to learn. I said about the preface that it is a feeble reflection of the didactical inversion. Indeed, it is not a constituent part of the book. It can even be torn out. Yet it is useful. Firstly, to the reviewer who then need not read the whole work, and secondly to the author himself, who like the composer gets an opportunity to review the Leitmotivs of the book.
Author : Gloria Ann Stillman
Publisher : Springer Science & Business Media
ISBN 13 : 9400765401
Total Pages : 612 pages
Book Rating : 4.4/5 (7 download)
Download or read book Teaching Mathematical Modelling: Connecting to Research and Practice written by Gloria Ann Stillman and published by Springer Science & Business Media. This book was released on 2013-10-27 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives. There is a strong focus on pedagogical issues for teaching and learning of modelling as well as research into teaching and practice. The teaching of applications of mathematics and mathematical modelling from the early years through primary and secondary school and at tertiary level is rising in prominence in many parts of the world commensurate with an ever-increasing usage of mathematics in business, the environment, industry and everyday life. The authors are all members of the International Community of Teachers of Mathematical Modelling and Applications and important researchers in mathematics education and mathematics. The book will be of interest to teachers, practitioners and researchers in universities, polytechnics, teacher education, curriculum and policy.
Author : Hans Freudenthal
Publisher : Springer Science & Business Media
ISBN 13 : 0306472023
Total Pages : 209 pages
Book Rating : 4.3/5 (64 download)
Download or read book Revisiting Mathematics Education written by Hans Freudenthal and published by Springer Science & Business Media. This book was released on 2005-12-08 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a product of love and respect. If that sounds rather odd I initially apologise, but let me explain why I use those words. The original manuscript was of course Freudenthal’s, but his colleagues have carried the project through to its conclusion with love for the man, and his ideas, and with a respect developed over years of communal effort. Their invitation to me to write this Preface e- bles me to pay my respects to the great man, although I am probably incurring his wrath for writing a Preface for his book without his permission! I just hope he understands the feelings of all colleagues engaged in this particular project. Hans Freudenthal died on October 13th, 1990 when this book project was well in hand. In fact he wrote to me in April 1988, saying “I am thinking about a new book. I have got the sub-title (China Lectures) though I still lack a title”. I was astonished. He had retired in 1975, but of course he kept working. Then in 1985 we had been helping him celebrate his 80th birthday, and although I said in an Editorial Statement in Educational Studies in Mathematics (ESM) at the time “we look forward to him enjoying many more years of non-retirement” I did not expect to see another lengthy manuscript.
Author : Norma Presmeg
Publisher : Springer
ISBN 13 : 3319313703
Total Pages : 45 pages
Book Rating : 4.3/5 (193 download)
Download or read book Semiotics in Mathematics Education written by Norma Presmeg and published by Springer. This book was released on 2016-04-11 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.
Author : Doris Appleby
Publisher :
ISBN 13 : 9780071009713
Total Pages : 458 pages
Book Rating : 4.0/5 (97 download)
Download or read book Programming Languages written by Doris Appleby and published by . This book was released on 1991 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Burkard Polster
Publisher : JHU Press
ISBN 13 : 1421404842
Total Pages : 301 pages
Book Rating : 4.4/5 (214 download)
Download or read book Math Goes to the Movies written by Burkard Polster and published by JHU Press. This book was released on 2012-08-31 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mel Gibson teaching Euclidean geometry, Meg Ryan and Tim Robbins acting out Zeno's paradox, Michael Jackson proving in three different ways that 7 x 13 = 28. These are just a few of the intriguing mathematical snippets that occur in hundreds of movies. Burkard Polster and Marty Ross pored through the cinematic calculus to create this thorough and entertaining survey of the quirky, fun, and beautiful mathematics to be found on the big screen. Math Goes to the Movies is based on the authors' own collection of more than 700 mathematical movies and their many years using movie clips to inject moments of fun into their courses. With more than 200 illustrations, many of them screenshots from the movies themselves, this book provides an inviting way to explore math, featuring such movies as: • Good Will Hunting • A Beautiful Mind • Stand and Deliver • Pi • Die Hard • The Mirror Has Two Faces The authors use these iconic movies to introduce and explain important and famous mathematical ideas: higher dimensions, the golden ratio, infinity, and much more. Not all math in movies makes sense, however, and Polster and Ross talk about Hollywood's most absurd blunders and outrageous mathematical scenes. Interviews with mathematical consultants to movies round out this engaging journey into the realm of cinematic mathematics. This fascinating behind-the-scenes look at movie math shows how fun and illuminating equations can be.
Author : Keith Devlin
Publisher : Penguin
ISBN 13 : 1101213469
Total Pages : 260 pages
Book Rating : 4.1/5 (12 download)
Download or read book The Numbers Behind NUMB3RS written by Keith Devlin and published by Penguin. This book was released on 2007-08-28 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion to the hit CBS crime series Numb3rs presents the fascinating way mathematics is used to fight real-life crime Using the popular CBS prime-time TV crime series Numb3rs as a springboard, Keith Devlin (known to millions of NPR listeners as the Math Guy on NPR's Weekend Edition with Scott Simon) and Gary Lorden (the principal math advisor to Numb3rs) explain real-life mathematical techniques used by the FBI and other law enforcement agencies to catch and convict criminals. From forensics to counterterrorism, the Riemann hypothesis to image enhancement, solving murders to beating casinos, Devlin and Lorden present compelling cases that illustrate how advanced mathematics can be used in state-of-the-art criminal investigations.
Author : Karl J. Åström
Publisher :
ISBN 13 : 9780783787824
Total Pages : 141 pages
Book Rating : 4.7/5 (878 download)
Download or read book Automatic Tuning of PID Controllers written by Karl J. Åström and published by . This book was released on 1988 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rosamund Sutherland
Publisher : Springer Science & Business Media
ISBN 13 : 0306472236
Total Pages : 277 pages
Book Rating : 4.3/5 (64 download)
Download or read book Perspectives on School Algebra written by Rosamund Sutherland and published by Springer Science & Business Media. This book was released on 2006-02-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Karl J. Åström
Publisher : Courier Corporation
ISBN 13 : 0486445313
Total Pages : 322 pages
Book Rating : 4.4/5 (864 download)
Download or read book Introduction to Stochastic Control Theory written by Karl J. Åström and published by Courier Corporation. This book was released on 2006-01-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unabridged republication of the edition published by Academic Press, 1970.
Author : Norma Gonzalez
Publisher : Routledge
ISBN 13 : 1135614059
Total Pages : 332 pages
Book Rating : 4.1/5 (356 download)
Download or read book Funds of Knowledge written by Norma Gonzalez and published by Routledge. This book was released on 2006-04-21 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of "funds of knowledge" is based on a simple premise: people are competent and have knowledge, and their life experiences have given them that knowledge. The claim in this book is that first-hand research experiences with families allow one to document this competence and knowledge, and that such engagement provides many possibilities for positive pedagogical actions. Drawing from both Vygotskian and neo-sociocultural perspectives in designing a methodology that views the everyday practices of language and action as constructing knowledge, the funds of knowledge approach facilitates a systematic and powerful way to represent communities in terms of the resources they possess and how to harness them for classroom teaching. This book accomplishes three objectives: It gives readers the basic methodology and techniques followed in the contributors' funds of knowledge research; it extends the boundaries of what these researchers have done; and it explores the applications to classroom practice that can result from teachers knowing the communities in which they work. In a time when national educational discourses focus on system reform and wholesale replicability across school sites, this book offers a counter-perspective stating that instruction must be linked to students' lives, and that details of effective pedagogy should be linked to local histories and community contexts. This approach should not be confused with parent participation programs, although that is often a fortuitous consequence of the work described. It is also not an attempt to teach parents "how to do school" although that could certainly be an outcome if the parents so desired. Instead, the funds of knowledge approach attempts to accomplish something that may be even more challenging: to alter the perceptions of working-class or poor communities by viewing their households primarily in terms of their strengths and resources, their defining pedagogical characteristics. Funds of Knowledge: Theorizing Practices in Households, Communities, and Classrooms is a critically important volume for all teachers and teachers-to-be, and for researchers and graduate students of language, culture, and education.
Author : Rik Pintelon
Publisher : John Wiley & Sons
ISBN 13 : 0471660957
Total Pages : 644 pages
Book Rating : 4.4/5 (716 download)
Download or read book System Identification written by Rik Pintelon and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrical Engineering System Identification A Frequency Domain Approach How does one model a linear dynamic system from noisy data? This book presents a general approach to this problem, with both practical examples and theoretical discussions that give the reader a sound understanding of the subject and of the pitfalls that might occur on the road from raw data to validated model. The emphasis is on robust methods that can be used with a minimum of user interaction. Readers in many fields of engineering will gain knowledge about: * Choice of experimental setup and experiment design * Automatic characterization of disturbing noise * Generation of a good plant model * Detection, qualification, and quantification of nonlinear distortions * Identification of continuous- and discrete-time models * Improved model validation tools and from the theoretical side about: * System identification * Interrelations between time- and frequency-domain approaches * Stochastic properties of the estimators * Stochastic analysis System Identification: A Frequency Domain Approach is written for practicing engineers and scientists who do not want to delve into mathematical details of proofs. Also, it is written for researchers who wish to learn more about the theoretical aspects of the proofs. Several of the introductory chapters are suitable for undergraduates. Each chapter begins with an abstract and ends with exercises, and examples are given throughout.
Author : Lisa Scherff
Publisher : R&L Education
ISBN 13 : 1607094215
Total Pages : 209 pages
Book Rating : 4.6/5 (7 download)
Download or read book Culturally Relevant Pedagogy written by Lisa Scherff and published by R&L Education. This book was released on 2010-12-16 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors in this edited volume reflect on their experiences with culturally relevant pedagogy_as students, as teachers, as researchers_and how these experiences were often at odds with their backgrounds and/or expectations. Each of the authors speaks to the complexity and difficulty in attempting to address students' cultures, create learning experiences with relevance to their lives and experiences, and enact pedagogies that promote academic achievement while honoring students. At the same time, every author shows the clashes and confrontations that can arise between and among students, teachers, parents, administrators, and educational policies.
