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Explains how writing can be integrated into primary and secondary mathematics, and suggests topics and methods, including journals, learning logs, and letters.
This book will help those wishing to teach a course in technical writing, or who wish to write themselves.
This book is a collection of creative pieces—poems, short stories, essays, play excerpts—that give shape to mathematical and scientific content. This book portrays by example how various people work creatively with ideas from mathematics and other sciences. Creative writing about the content of mathematics and science is rare, and creative writing about the activity of mathematical and scientific creation is even rarer. And yet, when it occurs, it can be extremely popular, as well known plays like Proof and Copenhagen and biographies like A Beautiful Mind and The Man Who Loved Only Numbers attest. What draws the public to these works? And why, given that something does, are there so few examples of literature that engages these themes? Mathematics and science are part of world culture, part of the human spirit, fit subjects for art of all kinds.
This is an essential book for everyone who wants to write clearly about any subject and use writing as a means of learning.
Nick Higham follows up his successful HWMS volume with this much-anticipated second edition.
Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Designing interesting problems and writing assignments is one of the chief tasks of all teachers, but it can be especially challenging to translate and apply learning theory, good teaching techniques, and writing assignments into STEM and other quantitative disciplines. Student Writing in the Quantitative Disciplines offers instructors in math-based disciplines meaningful approaches to making their coursework richer and more relevant for their students, as well as satisfying institutional imperatives for writing curricula. This important resource provides instructors with the hands-on skills needed to guide their students in writing well in quantitative courses at all levels of the college curriculum and to promote students' general cognitive and intellectual growth. Comprehensive in scope, the book includes: Ideas for using writing as a means of learning mathematical concepts Illustrative examples of effective writing activities and assignments in a number of different genres Assessment criteria and effective strategies for responding to students' writing Examples of ways to help students engage in peer review, revision, and resubmission of their written work "Those of us who spend our lives urging faculty in all disciplines to integrate more writing into their courses have wished for the day when someone like Patrick Bahls would step forward with a book like this one."—Chris M. Anson, University Distinguished Professor and director, Campus Writing and Speaking Program, North Carolina State University "Written by a mathematician, this readable, theoretically sound book describes practical strategies for teachers in the quantitative sciences to assign and respond to students' writing. It also describes numerous approaches to writing that engage students in disciplinary learning, collaborative discovery, and effective communication."—Art Young, Campbell Professor of English emeritus, Clemson University "Loaded with practical advice, this timely, important, and engaging book will be an invaluable resource for instructors wishing to bring the benefits of writing-to-learn to the quantitative disciplines. As a mathematician thoroughly grounded in writing-across-the-curriculum scholarship, Bahls brings humor, classroom experience, and pedagogical savvy to a mission he clearly loves—improving the quality of student learning in math and science."—John C. Bean, professor, Seattle University, and author, Engaging Ideas
Exploring the relationship between the writer and what he/she happens to be writing, this text by one of the foremost scholars in the field of literacy and cognition is a unique and original examination of writing--as a craft and as a cognitive activity. The book is concerned with the physical activity of writing, the way the nervous system recruits the muscles to move the pen or manipulate the typewriter. It considers the necessary disciplines of writing, such as knowledge of the conventions of grammar, spelling, and punctuation. In particular, there is a concern with how the skills underlying all these aspects of writing are learned and orchestrated. This second edition includes many new insights from the author's significant experience and from recent research, providing a framework for thinking about the act of writing in both theoretical and practical ways. A completely new chapter on computers and writing is included, as well as more about the role of reading in learning to write, about learning to write at all ages, and about such controversial issues as whether and how genre theory should be taught. Written in nontechnical language, this text will continue to be accessible and stimulating to a wide range of readers concerned with writing, literacy, thinking, and education. Furthermore, it has an educational orientation, therefore proving relevant and useful to anyone who teaches about writing or endeavors to teach writing.
Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.