Download or read book Razonamiento algebraico elemental Implicaciones en la formaci n de profesores written by María Burgos Navarro and published by Universidad Almería. This book was released on 2022-12-22 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: En los últimos años, el desarrollo del pensamiento algebraico en los primeros niveles de enseñanza ha despertado gran interés en la comunidad de investigadores en educación matemática. Diversas perspectivas teóricas y propuestas curriculares recomiendan la introducción de contenidos algebraicos desde los primeros niveles educativos, con el objetivo de enriquecer la actividad matemática escolar y de favorecer el acceso a las matemáticas en secundaria. Sin embargo, esto plantea algunas cuestiones que deben ser abordadas para su implementación. En primer lugar, clarificar la naturaleza del álgebra escolar, es decir, cuál es la esencia del razonamiento algebraico en los primeros niveles de escolaridad. En segundo lugar, diseñar propuestas curriculares que garanticen el desarrollo progresivo del razonamiento algebraico en los escolares. En tercer lugar, la formación de los profesores para que asuman esta nueva manera de entender el álgebra y capacitarlos para su enseñanza. En este monográfico, se pretende contribuir con la descripción e instrumentalización de un modelo del razonamiento algebraico elemental, que entiende que dicho razonamiento no sólo se puede poner de manifiesto en tareas relacionadas con la aritmética, la medida, la geometría o el análisis de datos, sino que puede hacerlo con diversos grados de formalización y generalidad. Dicho modelo se emplea para mostrar el caracter algebraico en tareas escolares y diseñar posibles estrategias con las que desarrollar el sentido algebraico en escolares, abordando en este propósito los distintos enfoques del álgebra temprana. Finalmente se caracterizan los conocimientos y competencias didáctico-matemáticas del profesor en relación al razonamiento algebraico y se describen y ejemplifican acciones formativas para desarrollar los conocimientos especializados del profesor sobre álgebra elemental en las distintas facetas.
Download or read book Evaluaci n y desarrollo del razonamiento algebraico elemental en maestros en formaci n written by Lilia Patricia Aké Tec and published by . This book was released on 2014 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Razonamiento algebraico elemental en futuros maestros written by and published by . This book was released on 2008 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ratio and Proportion written by David Ben-Chaim and published by Springer Science & Business Media. This book was released on 2012-07-30 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ratio and Proportion—Research and Teaching in Mathematics Teachers’ Education offers its readers an intellectual adventure where they can acquire invaluable tools to turn teaching ratio and proportion to professionals and school children into an enjoyable experience. Based on in-depth research, it presents a deep, comprehensive view of the topic, focusing on both the mathematical and psychological-didactical aspects of teaching it. The unique teaching model incorporates both theoretical and practical knowledge, allowing instructors to custom-design teacher courses according to their speci?c needs. The book reports on hands-on experience in the college classes plus teachers’ experience in the actual classroom setting. An important feature is the extensive variety of interesting, meaningful authentic activities. While these activities are on a level that will engage pre- and in-service mathematics teachers in training, most can also be utilized in upper elementary and middle school classes. Accompanying the majority of these activities are detailed remarks, explanations, and solutions, along with creative ideas on how to conduct and expand the learning adventure. While primarily written for educators of mathematics teachers, this book can be an invaluable source of information for mathematics teachers of elementary and middle school classes, pre-service teachers, and mathematics education researchers.
Download or read book A History of Western Astrology written by S. J. Tester and published by Boydell & Brewer Ltd. This book was released on 1987 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Superb general account.' Times Literary Supplement The story of the history of Western astrology begins with the philosophers of Greece in the 5th century BC. To the magic and stargazing of Egypt the Greeks added numerology, geometryand rational thought. The philosophy of Plato and later of the Stoics made astrology respectable, and by the time Ptolemy wrote his textbook the Tetrabiblos, in the second century AD, the main lines of astrological practice as it is known today had already been laid down. In future centuries astrology shifted to Islam only to return to the West in medieval times where it flourished until the shift of ideas during the Renaissance.
Download or read book Educational Algebra written by Eugenio Filloy and published by Springer Science & Business Media. This book was released on 2007-10-12 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a theoretical perspective on the study of school algebra, in which both semiotics and history occur. The Methodological design allows for the interpretation of specific phenomena and the inclusion of evidence not addressed in more general treatments. The book gives priority to "meaning in use" over "formal meaning". These approaches and others of similar nature lead to a focus on competence rather than a user’s activity with mathematical language.
Download or read book The Information written by James Gleick and published by Vintage. This book was released on 2011-03-01 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of the acclaimed Chaos and Genius comes a thoughtful and provocative exploration of the big ideas of the modern era: Information, communication, and information theory. Acclaimed science writer James Gleick presents an eye-opening vision of how our relationship to information has transformed the very nature of human consciousness. A fascinating intellectual journey through the history of communication and information, from the language of Africa’s talking drums to the invention of written alphabets; from the electronic transmission of code to the origins of information theory, into the new information age and the current deluge of news, tweets, images, and blogs. Along the way, Gleick profiles key innovators, including Charles Babbage, Ada Lovelace, Samuel Morse, and Claude Shannon, and reveals how our understanding of information is transforming not only how we look at the world, but how we live. A New York Times Notable Book A Los Angeles Times and Cleveland Plain Dealer Best Book of the Year Winner of the PEN/E. O. Wilson Literary Science Writing Award
Download or read book Shaping the future we want written by Buckler, Carolee and published by UNESCO. This book was released on 2014-11-10 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How to Measure Survey Reliability and Validity written by Mark S. Litwin and published by SAGE Publications. This book was released on 1995-08-03 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: UCLA School of Medicine, Los Angeles Aimed at helping readers improve the accuracy of their survey, Litwin′s book guides in assessing and interpreting the quality of their survey data by thoroughly examining the survey instrument used. The book also explains how to code and pilot test new and established surveys. In addition, it covers such issues as how to measure reliability (e.g., test-retest, alternate-form, internal consistency, inter-observer, and intra-observer reliability), how to measure validity (including content, criterion, and construct validity), how to address cross-cultural issues in survey research, and how to scale and score a survey. "I found this work to be of very high quality with respect to both content and writing. It is commendable in terms of communicating and facilitating understanding of sometimes difficult concepts. It will make an excellent text for my introductory course on survey research and, I imagine, for many similar or related courses in the social sciences or education. All the pedagogical features, including the exercises, are excellent, and the level of writing throughout not only is appropriate for an introductory volume, but also engaging and lively." --Daniel U. Levine, Department of Education, University of Nebraska
Download or read book Teaching and Learning Mathematical Modelling written by Gilbert Greefrath and published by Springer. This book was released on 2016-08-20 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.
Download or read book Paradoxes of the Infinite Routledge Revivals written by Bernard Bolzano and published by Routledge. This book was released on 2014-03-18 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paradoxes of the Infinite presents one of the most insightful, yet strangely unacknowledged, mathematical treatises of the 19th century: Dr Bernard Bolzano’s Paradoxien. This volume contains an adept translation of the work itself by Donald A. Steele S.J., and in addition an historical introduction, which includes a brief biography as well as an evaluation of Bolzano the mathematician, logician and physicist.
Download or read book Algebra in the Early Grades written by James J. Kaput and published by Routledge. This book was released on 2017-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
Download or read book Research Trends in Mathematics Teacher Education written by Jane-Jane Lo and published by Springer. This book was released on 2014-05-28 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research on the preparation and continued development of mathematics teachers is becoming an increasingly important subset of mathematics education research. Such research explores the attributes, knowledge, skills and beliefs of mathematics teachers as well as methods for assessing and developing these critical aspects of teachers and influences on teaching. Research Trends in Mathematics Teacher Education focuses on three major themes in current mathematics teacher education research: mathematical knowledge for teaching, teacher beliefs and identities, and tools and techniques to support teacher learning. Through careful reports of individual research studies and cross-study syntheses of the state of research in these areas, the book provides insights into teachers’ learning processes and how these processes can be harnessed to develop effective teachers. Chapters investigate bedrock skills needed for working with primary and secondary learners (writing relevant problems, planning lessons, being attentive to student learning) and illustrate how knowledge can be accessed, assessed, and nurtured over the course of a teaching career. Commentaries provide context for current research while identifying areas deserving future study. Included among the topics: Teachers’ curricular knowledge Teachers’ personal and classroom mathematics Teachers’ learning journeys toward reasoning and sense-making Teachers’ transitions in noticing Teachers’ uses of a learning trajectory as a tool for mathematics lesson planning A unique and timely set of perspectives on the professional development of mathematics teachers at all stages of their careers, Research Trends in Mathematics Teacher Education brings clarity and practical advice to researchers as well as practitioners in this increasingly critical arena.
Download or read book PISA 2018 Assessment and Analytical Framework written by OECD and published by OECD Publishing. This book was released on 2019-04-26 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents the conceptual foundations of the OECD Programme for International Student Assessment (PISA), now in its seventh cycle of comprehensive and rigorous international surveys of student knowledge, skills and well-being. Like previous cycles, the 2018 assessment covered reading, mathematics and science, with the major focus this cycle on reading literacy, plus an evaluation of students’ global competence – their ability to understand and appreciate the perspectives and world views of others. Financial literacy was also offered as an optional assessment.
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.
Download or read book Modeling and Measuring Competencies in Higher Education written by Sigrid Blömeke and published by Springer Science & Business Media. This book was released on 2013-04-20 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measuring competencies acquired over the course of higher education is an area of research that largely has been neglected. This deficit can be attributed to the complexity of academic competencies since the variety of institutions, programs, occupational fields and job requirements render it difficult to define and even harder to measure outcomes. Thus, assessing the preconditions for and effects of competency development is a challenge methodologically. In this book, a comprehensive review of the international state of research on modeling and measuring competencies in higher education across several academic disciplines is presented, along with an evaluation of the field’s strengths and weaknesses. Renowned experts share insight into the most important recent research projects and point out controversies and challenges. Competencies are regarded as context-specific dispositions acquired and required to cope successfully with domain-specific situations and tasks. However, the range of these dispositions is controversial. Should only cognitive facets be included or is it important to consider attitudes as well? Insufficient response rates and panel attrition are further challenges, as are the limitations of paper-and-pencil approaches to the complex measurement of higher education outcomes. Thus, this book may serve as a platform for the exchange of research experiences and perspectives and hopefully will instigate improvements in research into higher education.
Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
