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Mathematics In Context
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Book Synopsis Mathematics in Historical Context by : Jeff Suzuki
Download or read book Mathematics in Historical Context written by Jeff Suzuki and published by MAA. This book was released on 2009-08-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the interaction between mathematics, mathematicians and society. What would Newton see if he looked out his window?
Book Synopsis Category Theory in Context by : Emily Riehl
Download or read book Category Theory in Context written by Emily Riehl and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Book Synopsis Teaching Mathematics Vocabulary in Context by : Miki Murray
Download or read book Teaching Mathematics Vocabulary in Context written by Miki Murray and published by Heinemann Educational Books. This book was released on 2004 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Miki Murray proves, mathematics vocabulary has the power to enhance the conceptual learning of mathematics for middle school students. It's an essential tool to help them to express their mathematical thinking coherently and clearly to peers and teachers, to share problem-solving techniques, to gain confidence, and to participate in classroom discourse. Murray offers a range of strategies that highlight the important role language plays in the learning of math. Grounded in research and developed from more than 40 years of teaching, reflecting, and learning, Murray's proven strategies are immediately usable or adaptable by teachers.
Book Synopsis A Pedagogy for Liberation by : Ira Shor
Download or read book A Pedagogy for Liberation written by Ira Shor and published by Praeger. This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two world renowned educators, Paulo Freire and Ira Shor, speak passionately about the role of education in various cultural and political arenas. They demonstrate the effectiveness of dialogue in action as a practical means by which teachers and students can become active participants in the learning process. In a lively exchange, the authors illuminate the problems of the educational system in relation to those of the larger society and argue for the pressing need to transform the classroom in both Third and First World contexts. Shor and Freire illustrate the possibilities of transformation by describing their own experiences in liberating the classroom from its traditional constraints. They demonstrate how vital the teacher's role is in empowering students to think critically about themselves and their relation, not only to the classroom, but to society. For those readers seeking a liberatory approach to education, these dialogues will be a revelation and a unique summary. For all those convinced of the need for transformation, this book shows the way.
Book Synopsis Contexts for Learning Mathematics by : Catherine Twomey Fosnot
Download or read book Contexts for Learning Mathematics written by Catherine Twomey Fosnot and published by Greenwood International. This book was released on 2007-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates
Book Synopsis Key Concepts in Teaching Primary Mathematics by : Derek Haylock
Download or read book Key Concepts in Teaching Primary Mathematics written by Derek Haylock and published by SAGE. This book was released on 2007-09-17 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.
Book Synopsis The Mathematics of Frobenius in Context by : Thomas Hawkins
Download or read book The Mathematics of Frobenius in Context written by Thomas Hawkins and published by Springer Science & Business Media. This book was released on 2013-07-23 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Frobenius made many important contributions to mathematics in the latter part of the 19th century. Hawkins here focuses on his work in linear algebra and its relationship with the work of Burnside, Cartan, and Molien, and its extension by Schur and Brauer. He also discusses the Berlin school of mathematics and the guiding force of Weierstrass in that school, as well as the fundamental work of d'Alembert, Lagrange, and Laplace, and of Gauss, Eisenstein and Cayley that laid the groundwork for Frobenius's work in linear algebra. The book concludes with a discussion of Frobenius's contribution to the theory of stochastic matrices.
Book Synopsis Foundation Numeracy in Context by : David Tout
Download or read book Foundation Numeracy in Context written by David Tout and published by Aust Council for Ed Research. This book was released on 2006 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundation Numeracy in Context describes an approach to teaching mathematics based on applied and contextual learning principles. This means that the teaching and learning of mathematics proceeds from a contextual, task-based and investigative point of viewâwhere the mathematics involved is developed from a modelled situation or practical task. Practical investigations and projects are principle vehicles for student learning in such an approach. This text is written for teachers working with students who have become disengaged from learning mathematics during the middle to latter years of secondary schooling, and will likely have had limited success with mathematics. The approach used will be helpful for teachers of students who need a practical rather than formal mathematical background for their everyday life skills and further education, training or career aspirations. The text illustrates how this approach works through some sample contexts such as cars and driving, sport, cooking and catering, and draws together mathematics from the areas of number, measurement, space, data and statistics, and algebra. [Publisher].
Book Synopsis The Development of Mathematics Throughout the Centuries by : Brian Evans
Download or read book The Development of Mathematics Throughout the Centuries written by Brian Evans and published by John Wiley & Sons. This book was released on 2014-02-24 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested
Book Synopsis Contexts for Learning Mathematics Level 1 Read-Alouds by : Catherine Twomey Fosnot
Download or read book Contexts for Learning Mathematics Level 1 Read-Alouds written by Catherine Twomey Fosnot and published by Firsthand Books. This book was released on 2007-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building learning around rich, instructionally sound contexts was an overarching goal during the development of the Contexts for Learning Mathematics series. Throughout the series context is used to set the stage for learning. It establishes a terrain that will intrigue children and ignite their imaginations. The contexts are situations children can imagine - either realistic or fictional - that enable them to reflect on what they are doing and apply mathematical thinking to their own world. Contexts for investigations are typically developed with stories and pictures. These are carefully crafted to involve students in meaningful investigations of the big ideas, strategies, and models that shape mathematical thinking. - The images and texts are engaging and include age-appropriate children using mathematics to solve real-world problems. - The numbers referenced represent landmark numbers or number relationships that are significant and telling. - The models and metaphors within a context make relationships and strategies more tangible and explicit. The contexts for the eight units in Investigating Number Sense, Addition, and Subtraction (Grades K - 3) are established through eight engaging read-aloud books (15" x 12") that meld humor, intrigue, and good math sense. To learn more visit www.contextsforlearning.com
Book Synopsis Making Sense of Mathematics for Teaching Grades K-2 by : Juli K. Dixon
Download or read book Making Sense of Mathematics for Teaching Grades K-2 written by Juli K. Dixon and published by Solution Tree Press. This book was released on 2016-04-11 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades K–2 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Clarify math essentials with figures and tables that facilitate understanding through visualization. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Number Concepts and Place Value 2 Word Problem Structures 3 Addition and Subtraction Using Counting Strategies 4 Addition and Subtraction Using Grouping Strategies 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals
Book Synopsis Calculus in Context by : James Callahan
Download or read book Calculus in Context written by James Callahan and published by W H Freeman & Company. This book was released on 1995 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: For courses currently engaged, or leaning toward calculus reform. Callahan fully embraces the calculus reform movement in technology and pedagogy, while taking it a step further with a unique organization and applications to real-world problems.
Book Synopsis Standards-based School Mathematics Curricula by : Sharon L. Senk
Download or read book Standards-based School Mathematics Curricula written by Sharon L. Senk and published by Routledge. This book was released on 2020-07-24 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Curriculum and Evaluation Standards for School Mathematics published by the National Council of Teachers of Mathematics in 1989 set forth a broad vision of mathematical content and pedagogy for grades K-12 in the United States. These Standards prompted the development of Standards-based mathematics curricula. What features characterize Standards-based curricula? How well do such curricula work? To answer these questions, the editors invited researchers who had investigated the implementation of 12 different Standards-based mathematics curricula to describe the effects of these curricula on students' learning and achievement, and to provide evidence for any claims they made. In particular, authors were asked to identify content on which performance of students using Standards-based materials differed from that of students using more traditional materials, and content on which performance of these two groups of students was virtually identical. Additionally, four scholars not involved with the development of any of the materials were invited to write critical commentaries on the work reported in the other chapters. Section I of Standards-Based School Mathematics Curricula provides a historical background to place the current curriculum reform efforts in perspective, a summary of recent recommendations to reform school mathematics, and a discussion of issues that arise when conducting research on student outcomes. Sections II, III, and IV are devoted to research on mathematics curriculum projects for elementary, middle, and high schools, respectively. The final section is a commentary by Jeremy Kilpatrick, Regents Professor of Mathematics Education at the University of Georgia, on the research reported in this book. It provides a historical perspective on the use of research to guide mathematics curriculum reform in schools, and makes additional recommendations for further research. In addition to the references provided at the end of each chapter, other references about the Standards-based curriculum projects are provided at the end of the book. This volume is a valuable resource for all participants in discussions about school mathematics curricula--including professors and graduate students interested in mathematics education, curriculum development, program evaluation, or the history of education; educational policy makers; teachers; parents; principals and other school administrators. The editors hope that the large body of empirical evidence and the thoughtful discussion of educational values found in this book will enable readers to engage in informed civil discourse about the goals and methods of school mathematics curricula and related research.
Book Synopsis Reform in School Mathematics and Authentic Assessment by : Thomas A. Romberg
Download or read book Reform in School Mathematics and Authentic Assessment written by Thomas A. Romberg and published by SUNY Press. This book was released on 1995-01-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today new ways of thinking about learning call for new ways for monitoring learning. Reform in School Mathematics builds from the vision that assessment can become the bridge for instructional activity, accountability, and teacher development. It places teachers in key roles while developing the theme that we cannot reform the way in which school mathematics is taught without radically reforming the ways the effects of that teaching are monitored. Among others, this volume addresses the issues of the specification of performance standards, the development of authentic tasks, the measure of status and growth or a combination, the development of psychometric models, and the development of scoring rubrics. The new models proposed in this book give teachers a wealth of nontraditional assessment strategies and concrete ways to obtain measures of both group and individual differences in growth.
Book Synopsis Mathematics Success and Failure Among African-American Youth by : Danny Bernard Martin
Download or read book Mathematics Success and Failure Among African-American Youth written by Danny Bernard Martin and published by Routledge. This book was released on 2000 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings together theory & methods from cultural & cog. perspectives to examine forces contributing to why a dispropriate no. of African-Amer. students don't reach their potential in math & are then underrepresented in professions requiring math skills.
Book Synopsis Mathematics for Human Flourishing by : Francis Su
Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
Book Synopsis Estimation Skills, Mathematics-in-context, and Advanced Skills in Mathematics by : Julia H. Mitchell
Download or read book Estimation Skills, Mathematics-in-context, and Advanced Skills in Mathematics written by Julia H. Mitchell and published by U.S. Government Printing Office. This book was released on 1999 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents information from three special studies conducted as part of the National Assessment of Educational Progress (NAEP) 1996 mathematics assessment. It is intended primarily for mathematics educators and others concerned with mathematics education, such as curriculum specialists, teachers, and university faculty in schools of education. The three studies reported here were designed to provide greater detail on how students perform on particular types of mathematics questions. Studies include the Estimation Study, the Study of Mathematics-in-Context, and the Study of Students Taking Advanced Courses in Mathematics. The first study was designed to explore students' skills in estimation and was implemented at three grade levels. It concludes that although there has been significant improvement in mathematics performance overall since 1990 at all grade levels, the trend for student performance in estimation over the six years since the inception of the Estimation Study of 1990 is less clear. The second study was designed to assess problem-solving abilities within contexts that allow students to make connections across mathematics content areas. The Advanced study was administered at grades 8 and 12 and was designed to provide students who were taking or had taken advanced courses in mathematics an opportunity to demonstrate their full mathematical proficiency. (Contains 71 tables and figures.) (ASK)
