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Teaching with Mathematical Argument
Argumentation leads to deeper understanding Many students' interest in mathematics fades as they are asked to solve seemingly endless disconnected problems. Despina Stylianou and Maria Blanton show how building daily instruction around mathematical argumentation can enliven your classroom and re-engage your students. Teaching with Mathematical Argument explores how argumentation-discussing and debating a rich mathematical problem-provides all students a deeper understanding of mathematics. You'll find guidance for: understanding what argumentation is and building a classroom culture that supports it engaging every student in argumentation, not just "strong" or "high performing" students asse...
Teaching and Learning Proof Across the Grades
A Co-Publication of Routledge for the National Council of Teachers of Mathematics (NCTM) In recent years there has been increased interest in the nature and role of proof in mathematics education; with many mathematics educators advocating that proof should be a central part of the mathematics education of students at all grade levels. This important new collection provides that much-needed forum for mathematics educators to articulate a connected K-16 "story" of proof. Such a story includes understanding how the forms of proof, including the nature of argumentation and justification as well as what counts as proof, evolve chronologically and cognitively and how curricula and instruction can...
Becoming the Math Teacher You Wish You'd Had
Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle schoo...
The Moore Method
The Moore method is a type of instruction used in advanced mathematics courses that moves away from a teacher-oriented experience to a learner-centered one. This book gives an overview of the Moore Method as practiced by the four authors. The authors outline six principles they all have as goals : elevating students from recipients to creators of knowledge; letting students discover the power of their minds; believing every student can and will do mathematics; allowing students to discover, present and debate mathematics; carefully matching problems and materials to the students; and having the material cover a significant body of knowledge. Topics include establishing a classroom culture, grading methods, materials development and more. Appendices include sample tests, notes and diaries of individual courses.
Handbook of Learning from Multiple Representations and Perspectives
In and out of formal schooling, online and off, today’s learners must consume and integrate a level of information that is exponentially larger and delivered through a wider range of formats and viewpoints than ever before. The Handbook of Learning from Multiple Representations and Perspectives provides a path for understanding the cognitive, motivational, and socioemotional processes and skills necessary for learners across educational contexts to make sense of and use information sourced from varying inputs. Uniting research and theory from education, psychology, literacy, library sciences, media and technology, and more, this forward-thinking volume explores the common concerns, shared challenges, and thematic patterns in our capacity to make meaning in an information-rich society. Chapter 16 of this book is freely available as a downloadable Open Access PDF under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license available at http://www.taylorfrancis.com/books/e/9780429443961.
Using Assessment to Improve Middle-grades Mathematics Teaching & Learning
Using tasks that require students to think deeply about problem situations and communicate their mathematical understanding helps teachers determine students' levels of proficiency and gain insight into students' mathematical thinking. This book and its companion CD include sixteen mathematics tasks that are appropriate for grades 4 through 8 and can be used for instruction and assessment purposes. Descriptions of six activities illustrating various uses of the tasks and materials are also included.
Why Gesture?
Co-speech gestures are ubiquitous: when people speak, they almost always produce gestures. Gestures reflect content in the mind of the speaker, often under the radar and frequently using rich mental images that complement speech. What are gestures doing? Why do we use them? This book is the first to systematically explore the functions of gesture in speaking, thinking, and communicating – focusing on the variety of purposes served for the gesturer as well as for the viewer of gestures. Chapters in this edited volume present a range of diverse perspectives (including neural, cognitive, social, developmental and educational), consider gestural behavior in multiple contexts (conversation, narration, persuasion, intervention, and instruction), and utilize an array of methodological approaches (including both naturalistic and experimental). The book demonstrates that gesture influences how humans develop ideas, express and share those ideas to create community, and engineer innovative solutions to problems.
People, Practice, Power
An illuminating volume of critical essays charting the diverse territory of digital humanities scholarship The digital humanities have traditionally been considered to be the domain of only a small number of prominent and well-funded institutions. However, through a diverse range of critical essays, this volume serves to challenge and enlarge existing notions of how digital humanities research is being undertaken while also serving as a kind of alternative guide for how it can thrive within a wide variety of institutional spaces. Focusing on the complex infrastructure that undergirds the field of digital humanities, People, Practice, Power examines the various economic, social, and political...
