Understanding Mathematics And Science Matters
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| Author | : Thomas A. Romberg |
| Publisher | : Routledge |
| Total Pages | : 344 |
| Release | : 2005-03-23 |
| Genre | : Education |
| ISBN | : 1135620210 |
The research reported in this book provides reliable evidence on and knowledge about mathematics and science instruction that emphasizes student understanding--instruction consistent with the needs of students who will be citizens in an increasingly demanding technological world. The National Center for Improving Student Learning in Mathematics and Science--established in 1996 as a research center and funded by the U.S. Department of Education--was instrumental in developing instructional practices supportive of high student achievement in and understanding of mathematics and science concepts. NCISLA researchers worked with teachers, students, and administrators to construct learning environments that exemplify current research and theory about effective learning of mathematics and science. The careful programs of research conducted examined how instructional content and design, assessment, professional development, and organizational support can be designed, implemented, and orchestrated to support the learning of all students. This book presents a summary of the concepts, findings, and conclusions of the Center's research from 1996-2001. In the Introduction, the chapters in Understanding Mathematics and Science Matters are situated in terms of the reform movement in school mathematics and school science. Three thematically structured sections focus on, respectively, research directed toward what is involved when students learn mathematics and science with understanding; research on the role of teachers and the problems they face when attempting to teach their students mathematics and science with understanding; and a collaboration among some of the contributors to this volume to gather information about classroom assessment practices and organizational support for reform. The goal of this book is to help educational practitioners, policymakers, and the general public to see the validity of the reform recommendations, understand the recommended guidelines, and to use these to transform teaching and learning of mathematics and science in U.S. classrooms.
| Author | : Robert M. Hazen |
| Publisher | : Anchor |
| Total Pages | : 386 |
| Release | : 2009-06-09 |
| Genre | : Science |
| ISBN | : 0307456641 |
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.
| Author | : Maria Burguete |
| Publisher | : World Scientific |
| Total Pages | : 288 |
| Release | : 2008-11-26 |
| Genre | : Science |
| ISBN | : 9814469572 |
All earnest and honest human quests for knowledge are efforts to understand Nature, which includes both human and nonhuman systems, the objects of study in science. Thus, broadly speaking, all these quests are in the science domain. The methods and tools used may be different; for example, the literary people use mainly their bodily sensors and their brain as the information processor, while natural scientists may use, in addition, measuring instruments and computers. Yet, all these activities could be viewed in a unified perspective — they are scientific developments at varying stages of maturity and have a lot to learn from each other.That “everything in Nature is part of science” was well recognized by Aristotle, da Vinci and many others. Yet, it is only recently, with the advent of modern science and experiences gathered in the study of statistical physics, complex systems and other disciplines, that we know how the human-related disciplines can be studied scientifically.Science Matters is about all human-dependent knowledge, wherein humans (the material system of Homo sapiens) are studied scientifically from the perspective of complex systems. It includes all the topics covered in the humanities and social sciences. Containing contributions from knowledgeable humanists, social scientists and physicists, the book is intended for those — from artists to scientists — who are curious about the world and are interested in understanding it with a unified perspective.
| Author | : Jordan Ellenberg |
| Publisher | : Penguin |
| Total Pages | : 482 |
| Release | : 2015-05-26 |
| Genre | : Mathematics |
| ISBN | : 0143127535 |
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
| Author | : Tina Ann Grotzer |
| Publisher | : |
| Total Pages | : |
| Release | : 1996 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Robert M. Hazen |
| Publisher | : Anchor |
| Total Pages | : 386 |
| Release | : 2009-06-02 |
| Genre | : Science |
| ISBN | : 0307454584 |
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.
| Author | : National Research Council |
| Publisher | : National Academies Press |
| Total Pages | : 44 |
| Release | : 2011-06-22 |
| Genre | : Education |
| ISBN | : 0309213002 |
Science, technology, engineering, and mathematics (STEM) are cultural achievements that reflect our humanity, power our economy, and constitute fundamental aspects of our lives as citizens, consumers, parents, and members of the workforce. Providing all students with access to quality education in the STEM disciplines is important to our nation's competitiveness. However, it is challenging to identify the most successful schools and approaches in the STEM disciplines because success is defined in many ways and can occur in many different types of schools and settings. In addition, it is difficult to determine whether the success of a school's students is caused by actions the school takes or simply related to the population of students in the school. Successful K-12 STEM Education defines a framework for understanding "success" in K-12 STEM education. The book focuses its analysis on the science and mathematics parts of STEM and outlines criteria for identifying effective STEM schools and programs. Because a school's success should be defined by and measured relative to its goals, the book identifies three important goals that share certain elements, including learning STEM content and practices, developing positive dispositions toward STEM, and preparing students to be lifelong learners. A successful STEM program would increase the number of students who ultimately pursue advanced degrees and careers in STEM fields, enhance the STEM-capable workforce, and boost STEM literacy for all students. It is also critical to broaden the participation of women and minorities in STEM fields. Successful K-12 STEM Education examines the vast landscape of K-12 STEM education by considering different school models, highlighting research on effective STEM education practices, and identifying some conditions that promote and limit school- and student-level success in STEM. The book also looks at where further work is needed to develop appropriate data sources. The book will serve as a guide to policy makers; decision makers at the school and district levels; local, state, and federal government agencies; curriculum developers; educators; and parent and education advocacy groups.
| Author | : Robert Q. Berry III |
| Publisher | : Corwin Press |
| Total Pages | : 328 |
| Release | : 2020-03-09 |
| Genre | : Education |
| ISBN | : 1071806467 |
Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.
| Author | : Ricardo Nemirovsky |
| Publisher | : Routledge |
| Total Pages | : 391 |
| Release | : 2004-12-13 |
| Genre | : Education |
| ISBN | : 1135619379 |
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.
| Author | : Alicia C. Alonzo |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 495 |
| Release | : 2012-07-30 |
| Genre | : Education |
| ISBN | : 9460918247 |
Learning progressions – descriptions of increasingly sophisticated ways of thinking about or understanding a topic (National Research Council, 2007) – represent a promising framework for developing organized curricula and meaningful assessments in science. In addition, well-grounded learning progressions may allow for coherence between cognitive models of how understanding develops in a given domain, classroom instruction, professional development, and classroom and large-scale assessments. Because of the promise that learning progressions hold for bringing organization and structure to often disconnected views of how to teach and assess science, they are rapidly gaining popularity in the science education community. However, there are signi?cant challenges faced by all engaged in this work. In June 2009, science education researchers and practitioners, as well as scientists, psychometricians, and assessment specialists convened to discuss these challenges as part of the Learning Progressions in Science (LeaPS) conference. The LeaPS conference provided a structured forum for considering design decisions entailed in four aspects of work on learning progressions: de?ning learning progressions; developing assessments to elicit student responses relative to learning progressions; modeling and interpreting student performance with respect to a learning progressions; and using learning progressions to in?uence standards, curricula, and teacher education. This book presents speci?c examples of learning progression work and syntheses of ideas from these examples and discussions at the LeaPS conference.
