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 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 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 Education and Technology in Sciences written by Klinge Orlando Villalba-Condori and published by Springer Nature. This book was released on 2020-04-08 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the First International Congress on Education and Technology in Sciences, CISETC 2019, held in Arequipa, Peru, in December 2019. The 12 full papers presented in the volume were carefully reviewed and selected from 96 submissions. The papers are focused on the two main topics: pedagogical practice in the sciences, focused specificaly on science education; and complementary aspects of science teaching, which considers all the elements that can contribute to science education.
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 Meaning in Mathematics Education written by Jeremy Kilpatrick and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.
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 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 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 Naive Set Theory written by Paul Halmos and published by . This book was released on 2019-06 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a prominent analyst Paul. R. Halmos, this book is the most famous, popular, and widely used textbook in the subject. The book is readable for its conciseness and clear explanation. This emended edition is with completely new typesetting and corrections. Asymmetry of the book cover is due to a formal display problem. Actual books are printed symmetrically. Please look at the paperback edition for the correct image. The free PDF file available on the publisher's website www.bowwowpress.org
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.
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.
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 942 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together mathematics education research that makes a difference in both theory and practice - research that anticipates problems and needed knowledge before they become impediments to progress.
Download or read book The Understanding of Nature written by Marjorie Grene and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: No student or colleague of Marjorie Grene will miss her incisive presence in these papers on the study and nature of living nature, and we believe the new reader will quickly join the stimulating discussion and critique which Professor Grene steadily provokes. For years she has worked with equally sure knowledge in the classical domain of philosophy and in modern epistemological inquiry, equally philosopher of science and metaphysician. Moreover, she has the deeply sensible notion that she should be a critically intelligent learner as much as an imaginatively original thinker, and as a result she has brought insightful expository readings of other philosophers and scientists to her own work. We were most fortunate that Marjorie Grene was willing to spend a full semester of a recent leave here in Boston, and we have on other occasions sought her participation in our colloquia and elsewhere. Now we have the pleasure of including among the Boston Studies in the Philosophy of Science this generous selection from Grene's philosophical inquiries into the understanding of the natural world, and of the men and women in it. Boston University Center for the R. S. COHEN Philosophy and History of Science M. W. W ARTOFSKY April 1974 PREFACE This collection spans - spottily - years from 1946 ('On Some Distinctions between Men and Brutes') to 1974 ('On the Nature of Natural Necessity').
Download or read book The Origins of Infinitesimal Calculus written by Margaret E. Baron and published by Elsevier. This book was released on 2014-05-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.
