This book re-examines the dichotomy between the everyday and the disciplinary in mathematics and science education, and explores alternatives to this opposition from points of view grounded in the close examination of complex classroom events. It makes the case that students' everyday experience and knowledge in their entire manifold forms matter crucially in learning sciences and mathematics. The contributions of 13 research teams are organized around three themes: 1) the experiences of students in encounters with everyday matters of a discipline; 2) the concerns of curriculum designers, including teachers, as they design activities intended to focus on everyday matters of a discipline; and 3) the actions of teachers as they create classroom encounters with everyday matters of a discipline. As a whole the volume reflects the shift in the field of educational research in recent years away from formal, structural models of learning toward emphasizing its situated nature and the sociocultural bases of teaching and learning. At least two trends--increasing awareness that formal theories can be useful guides but are always partial and provisional in how they disclose classroom experiences, and the widespread availability of video and audio equipment that enables effortless recording of classroom interactions--have reoriented the field by allowing researchers and teachers to look at learning starting with complex classroom events rather than formal theories of learning. Such examinations are not meant to replace the work on general theoretical frameworks, but to ground them in actual complex events. This reorientation means that researchers and teachers can now encounter the complexity of learning and teaching as lived, human meaning-making experiences. Immersion in this complexity compels rethinking assumptions about the dichotomies that have traditionally organized the field's thinking about learning. Further, it has important implications for how the relationship between theory and practice in understanding teaching and learning is viewed. Everyday Matters in Science and Mathematics: Studies of Complex Classroom Events is an important resource for researchers, teacher educators, and graduate students in mathematics and science education, and a strong supplemental text for courses in these areas and also in cognition and instruction and instructional design.

Physics professor, bestselling author, and dynamic storyteller James Kakalios reveals the mind-bending science behind the seemingly basic things that keep our daily lives running, from our smart phones and digital “clouds” to x-ray machines and hybrid vehicles. Most of us are clueless when it comes to the physics that makes our modern world so convenient. What’s the simple science behind motion sensors, touch screens, and toasters? How do we glide through tolls using an E-Z Pass, or find our way to new places using GPS? In The Physics of Everyday Things, James Kakalios takes us on an amazing journey into the subatomic marvels that underlie so much of what we use and take for granted. Breaking down the world of things into a single day, Kakalios engages our curiosity about how our refrigerators keep food cool, how a plane manages to remain airborne, and how our wrist fitness monitors keep track of our steps. Each explanation is coupled with a story revealing the interplay of the astonishing invisible forces that surround us. Through this “narrative physics,” The Physics of Everyday Things demonstrates that—far from the abstractions conjured by terms like the Higgs Boson, black holes, and gravity waves—sophisticated science is also quite practical. With his signature clarity and inventiveness, Kakalios ignites our imaginations and enthralls us with the principles that make up our lives.

A science book for the general reader that is informative enough to be a popular textbook and yet well-written enough to appeal to general readers. “Hazen and Trefil [are] unpretentious—good, down-to-earth, we-can-explain-anything science teachers, the kind you wish you had but never did.”—The New York Times Book Review Knowledge of the basic ideas and principles of science is fundamental to cultural literacy. But most books on science are often too obscure or too specialized to do the general reader much good. Science Matters is a rare exception—a science book that is informative enough for introductory courses in high school and college, and yet lucid enough for readers uncomfortable with scientific jargon and complicated mathematics. And now, revised and expanded, it is up-to-date, so that readers can enjoy Hazen and Trefil's refreshingly accessible explanations of the most recent developments in science, from particle physics to biotechnology.

This volume provides essential guidance for transforming mathematics learning in schools through the use of innovative technology, pedagogy, and curriculum. It presents clear, rigorous evidence of the impact technology can have in improving students learning of important yet complex mathematical concepts -- and goes beyond a focus on technology alone to clearly explain how teacher professional development, pedagogy, curriculum, and student participation and identity each play an essential role in transforming mathematics classrooms with technology. Further, evidence of effectiveness is complemented by insightful case studies of how key factors lead to enhancing learning, including the contributions of design research, classroom discourse, and meaningful assessment. The volume organizes over 15 years of sustained research by multiple investigators in different states and countries who together developed an approach called "SimCalc" that radically transforms how Algebra and Calculus are taught. The SimCalc program engages students around simulated motions, such as races on a soccer field, and builds understanding using visual representations such as graphs, and familiar representations such as stories to help students to develop meaning for more abstract mathematical symbols. Further, the SimCalc program leverages classroom wireless networks to increase participation by all students in doing, talking about, and reflecting on mathematics. Unlike many technology programs, SimCalc research shows the benefits of balanced attention to curriculum, pedagogy, teacher professional development, assessment and technology -- and has proven effectiveness results at the scale of hundreds of schools and classrooms. Combining the findings of multiple investigators in one accessible volume reveals the depth and breadth of the research program, and engages readers interested in: * Engaging students in deeply learning the important concepts in mathematics * Designing innovative curriculum, software, and professional development · Effective uses of technology to improve mathematics education * Creating integrated systems of teaching that transform mathematics classrooms * Scaling up new pedagogies to hundreds of schools and classrooms * Conducting research that really matters for the future of mathematics learning ​ * Engaging students in deeply learning the important concepts in mathematics * Designing innovative curriculum, software, and professional development · Effective uses of technology to improve mathematics education * Creating integrated systems of teaching that transform mathematics classrooms * Scaling up new pedagogies to hundreds of schools and classrooms * Conducting research that really matters for the future of mathematics learning ​ ​

Over a decade ago the concept of "design experiments" was introduced because of the belief that many of questions could not be adequately addressed by laboratory-based experiments. Since then, design-based research as a term has grown in popularity and significance. The core manuscripts of this special issue respond to the questions: What constitutes design-based research? Why is it important? What are the methods to carry it out? At the end of this issue, two strong commentaries situate this work and challenge the community with new questions and issues that must be answered if design-based research is going to help advance work in ways that others judge as worthwhile and significant.

Just like representations in everyday life, this book shows that represenations are ubiquitous to science, technology, engineering, and mathematics, the STEM disciplines. "Show Me What You Know" showcases research on representations across a range of STEM disciplines and ages, from children as young as 2 years of age to professional mathematicians. The text highlights the importance of paying close attention to learners' interpretations and productions of different representations as a source of evidence for what learners understand, and another way for learners to "show us what they know'. The text is organized around four themes: appropriation of representations, making meaning, highlighting, and representations as scaffold and supports.

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.

Edited by a diverse group of expert collaborators, the Handbook of the Cultural Foundations of Learning is a landmark volume that brings together cutting-edge research examining learning as entailing inherently cultural processes. Conceptualizing culture as both a set of social practices and connected to learner identities, the chapters synthesize contemporary research in elaborating a new vision of the cultural nature of learning, moving beyond summary to reshape the field toward studies that situate culture in the learning sciences alongside equity of educational processes and outcomes. With the recent increased focus on culture and equity within the educational research community, this volume presents a comprehensive, innovative treatment of what has become one of the field’s most timely and relevant topics.

Shifting the discourse from a focus on academic language to the more dynamic but less researched construct of academic literacies, this volume addresses three key questions: • What constitutes academic literacy? • What does academic literacy development in adolescent multilingual students look like and how can this development be assessed? • What classroom contexts foster the development of academic literacies in multilingual adolescents? The contributing authors provide divergent definitions of academic literacies and use dissimilar theoretical and methodological approaches to study literacy development. Nevertheless, all chapters reflect a shared conceptual framework for examining academic literacies as situated, overlapping, meaning-making practices. This framework foregrounds students’ participation in valued disciplinary literacy practices. Emphasized in the new college and career readiness standards, the notion of disciplinary practices allows the contributing authors to bridge the language/content dichotomy, and take a more holistic as well as nuanced view of the demands that multilingual students face in general education classrooms. The volume also explores the implications of the emphasis on academic literacy practices for classroom instruction, research, and policy.

Learning and teaching complex cultural knowledge calls for meaningful participation in different kinds of symbolic practices, which in turn are supported by a wide range of external representations, as gestures, oral language, graphic representations, writing and many other systems designed to account for properties and relations on some 2- or 3-dimensional objects.