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Apuntes de estructuras algebraicas
El presente libro está diseñado para ser utilizado en un curso básico de estructuras algebraicas. El texto ofrece un panorama general de las estructuras de grupo, anillo, módulo y R-álgebra, y está diseñado para ser utilizado en un curso de un semestre académico (16 semanas). El capítulo 1 provee las nociones básicas y ejemplos de grupos de simetrías, tablas de grupo, conjuntos generadores y diagramas de Cayley. En este capítulo, nos enfocamos más en la conceptualización y visualización básica de los grupos que en la formalidad. Los capítulos 2 y 3, por otro lado, exponen las nociones básicas de subgrupo, subgrupo normal, isomorfismo, homomorfismos y grupo cociente, ofrecie...
La Arqueología Matemática:
Un problema de estudio vigente, relacionado con los objetos matemáticos, tiene que ver con la pregunta ¿Qué es un objeto matemático? o equivalentemente ¿Cuál es el significado de un objeto matemático? La presente obra aborda esta pregunta de investigación para el caso concreto de tres objetos matemáticos y uno didáctico: sistemas de ecuaciones lineales, estructura algebraica grupo, integral y, objeto didáctico educación matemática crítica. Además, en lo inherente a las prácticas matemáticas, se considera que su análisis puede ser realizado por medio de herramientas de diversos marcos teóricos existentes en educación matemática, como, por ejemplo, la teoría de las situac...
Análisis histórico de las necesidades de agua del cultivo de la papa en la región central de Boyacá
Comprender del comportamiento del clima, es de interes en diversos sectores de la produccion. En este sentido, el libro presenta resultados de la investigacion que tenia como proposito describir la incidencia ejercida por el clima en los requerimientos de agua del cultivo de la papa en la region central de Boyaca. Para esto, se presenta un modelo que relaciona la intensidad, duracion y frecuencia de las lluvias (IDF), para describir y predecir el comportamiento de la precipitacion, a traves del analisis probabilistico de la informacion registrada en estaciones agroclimatologicas, ubicadas en la cuenca del rio de la region, donde predomina el cultivo objeto de estudio. Posteriormente, se dete...
Consumption Corridors
Consumption Corridors: Living a Good Life within Sustainable Limits explores how to enhance peoples’ chances to live a good life in a world of ecological and social limits. Rejecting familiar recitations of problems of ecological decline and planetary boundaries, this compact book instead offers a spirited explication of what everyone desires: a good life. Fundamental concepts of the good life are explained and explored, as are forces that threaten the good life for all. The remedy, says the book’s seven international authors, lies with the concept of consumption corridors, enabled by mechanisms of citizen engagement and deliberative democracy. Across five concise chapters, readers are i...
State of the World 2010
Many of the environmental and social problems we face today are symptoms of a deeper systemic failing: a dominant cultural paradigm that encourages living in ways that are often directly counter to the realities of a finite planet. This paradigm, typically referred to as 'consumerism,' has already spread to cultures around the world and has led to consumption levels that are vastly unsustainable. If this pattern spreads further there will be little possibility of solving climate change or other environmental problems that are poised to dramatically disrupt human civilization. It will take a sustained, long-term effort to redirect the traditions, social movements and institutions that shape c...
Mathematical Knowledge: Its Growth Through Teaching
In the first BACOMET volume different perspectives on issues concerning teacher education in mathematics were presented (B. Christiansen, A. G. Howson and M. Otte, Perspectives on Mathematics Education, Reidel, Dordrecht, 1986). Underlying all of them was the fundamental problem area of the relationships between mathematical knowledge and the teaching and learning processes. The subsequent project BACOMET 2, whose outcomes are presented in this book, continued this work, especially by focusing on the genesis of mathematical knowledge in the classroom. The book developed over the period 1985-9 through several meetings, much discussion and considerable writing and redrafting. Our major concern...
The Teaching and Learning of Mathematics at University Level
This is a text that contains the latest in thinking and the best in practice. It provides a state-of-the-art statement on tertiary teaching from a multi-perspective standpoint. No previous book has attempted to take such a wide view of the topic. The book will be of special interest to academic mathematicians, mathematics educators, and educational researchers. It arose from the ICMI Study into the teaching and learning of mathematics at university level (initiated at the conference in Singapore, 1998).
Developing Students’ Statistical Reasoning
Increased attention is being paid to the need for statistically educated citizens: statistics is now included in the K-12 mathematics curriculum, increasing numbers of students are taking courses in high school, and introductory statistics courses are required in college. However, increasing the amount of instruction is not sufficient to prepare statistically literate citizens. A major change is needed in how statistics is taught. To bring about this change, three dimensions of teacher knowledge need to be addressed: their knowledge of statistical content, their pedagogical knowledge, and their statistical-pedagogical knowledge, i.e., their specific knowledge about how to teach statistics. T...
Python para as humanidades digitais
As humanidades digitais combinam a programação de computadores com o estudo das humanidades em geral. Este livro propõe a linguagem de programação Python para a realização de pesquisas na área de humanidades, desenvolvendo assim possíveis casos em diversas áreas e dando instruções de início nesta linguagem de programação para humanistas. Python para as humanidades digitais oferece instruções desde a instalação dainterface de trabalho, a obtenção de dados emanipulação de dados através de códigos ebibliotecas que podem treinar qualquer humanista novato em programação. Destinado a estudantes de graduação e pósgraduação, professores de humanidades e qualquer pesquisador que tenha interesse em realizar estudos massivos de dados em literatura, história, música, jornalismo, educação, bibliometria, entre outros. Inclui Instruções com exemplos reais de pesquisas em humanidades digitais. Diálogo interdisciplinar e transdisciplinar que permite a criação de pesquisas inovadoras. Abordagem didática feita a partir do trabalho colaborativo de matemáticos e humanistas.
Weeding and Sowing
A title that sounds like poetry, and a subtitle that seems to contradict the title! But the subtitle is right, and originally it was just the title. A strange subtitle, isn’t it? Preface to a Science of Mathematical Education. All sciences – in their prenatal stage – have known this kind of literature: only the term used was not ‘Preface’, but, for instance, ‘Prolegomena’, which * means the same though it sounds less provisional. In fact such works were thicker than the present one, by up to ten times. There is much more that can be said about a science before it comes into being than after; with the first results comes modesty. This is the preface to a book that will never be ...
