Desarrollo de conocimientos matemáticos informales a través de resoluciones de problemas aritméticos verbales en primer curso de educación primaria - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Desarrollo de conocimientos matemáticos informales a través de resoluciones de problemas aritméticos verbales en primer curso de educación primaria write by Mónica Ramírez García. This book was released on 2015. Desarrollo de conocimientos matemáticos informales a través de resoluciones de problemas aritméticos verbales en primer curso de educación primaria available in PDF, EPUB and Kindle. El objetivo general de esta investigación es estudiar el desarrollo de los conocimientos informales sobre la agrupación de base 10 y los conocimientos del valor posicional, a través del estudio de las estrategias utilizadas por los niños en la resolución de problemas aritméticos verbales, así como el análisis de las representaciones de cantidades discretas utilizadas en sus procedimientos, describiendo además, la evolución de las estrategias y representaciones a lo largo de un curso. En la investigación, han participado 54 alumnos de primer curso de educación primaria de un centro público de la zona noroeste de Madrid. Se ha diseñado un taller de resolución de problemas compuesto por 25 sesiones, una por semana, desarrollado a lo largo de un curso escolar. En el taller se han planteado problemas de estructura multiplicativa, de grupos iguales, con agrupamientos de 10, de multiplicación y división; otros de grupos iguales, sin grupos de diez; y problemas de estructura aditiva con números de dos cifras. Los problemas estaban basados en cuentos leídos en el aula. A los alumnos se les ofrecían diversos materiales manipulativos (estructurados y no estructurados), sin instrucción sobre su uso, entre los cuales podían elegir libremente. En los talleres había una fase de trabajo individual, seguida de una puesta en común, y la escritura de una carta con la explicación de proceso de resolución del problema. La recogida de datos se realiza a través de entrevistas individuales, realizadas dentro del aula, grabadas en video o anotadas en hojas de registro. Se han tomado fotografías del proceso de resolución cuando los alumnos utilizaban materiales manipulativos. Finalmente, se han recogido las hojas de trabajo de los alumnos y las cartas escritas. Para analizar las estrategias, se parte de una categorización proveniente de estudios previos. Las estrategias de modelización directa han sido analizadas prestando especial atención a la representación de las cantidades y su conteo. Esta circunstancia, unida a la libertad que se ha dado en la selección y uso de materiales, ha dado lugar a la detección de gran diversidad de modalidades de aplicación de las estrategias no descritas en estudios previos. Algunas de ellas son estrategias de transición de modelización directa a estrategias de conteo y a otras que suponen el uso de hechos numéricos, facilitadas por el uso del rekenrek y la Tabla 100. Otras muestran, con más detalle que los estudios previos, la evolución de las estrategias de modelización directa, desde la ausencia de representación de las cantidades en grupos de 10, a la representación de las cantidades separadas en decenas y unidades con ayuda de materiales no estructurados como los cartones de decenas de huevos y barras de 10 formadas con cubos encajables. Todo esto ha permitido describir la evolución, desde las estrategias informales de modelización a estrategias formales, así como el desarrollo de la comprensión de la decena, para el que se describen transiciones entre niveles de comprensión señalados en estudios previos...
The Intentional Teacher
The Intentional Teacher - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Intentional Teacher write by Ann S. Epstein. This book was released on 2014. The Intentional Teacher available in PDF, EPUB and Kindle. 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.
Algebra in the Early Grades
Algebra in the Early Grades - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebra in the Early Grades write by James J. Kaput. This book was released on 2017-09-25. Algebra in the Early Grades available in PDF, EPUB and Kindle. 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.
The Information
The Information - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Information write by James Gleick. This book was released on 2011-03-01. The Information available in PDF, EPUB and Kindle. 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
Early Algebra
Early Algebra - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Early Algebra write by Carolyn Kieran. This book was released on 2016-07-11. Early Algebra available in PDF, EPUB and Kindle. This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenting examples drawn from the steadily growing research base, highlights both the nature of algebraic thinking and the ways in which this thinking is being developed in the primary and early middle school student. Mathematical relations, patterns, and arithmetical structures lie at the heart of early algebraic activity, with processes such as noticing, conjecturing, generalizing, representing, justifying, and communicating being central to students’ engagement.
