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Mathematics Through Materials
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Book Synopsis Teaching Mathematics Through Games by : Mindy Capaldi
Download or read book Teaching Mathematics Through Games written by Mindy Capaldi and published by American Mathematical Soc.. This book was released on 2021-05-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Active engagement is the key to learning. You want your students doing something that stimulates them to ask questions and creates a need to know. Teaching Mathematics Through Games presents a variety of classroom-tested exercises and activities that provoke the active learning and curiosity that you hope to promote. These games run the gamut from well-known favorites like SET and Settlers of Catan to original games involving simulating structural inequality in New York or playing Battleship with functions. The book contains activities suitable for a wide variety of college mathematics courses, including general education courses, math for elementary education, probability, calculus, linear algebra, history of math, and proof-based mathematics. Some chapter activities are short term, such as a drop-in lesson for a day, and some are longer, including semester-long projects. All have been tested, refined, and include extensive implementation notes.
Book Synopsis Mathematics Teachers at Work by : Janine T. Remillard
Download or read book Mathematics Teachers at Work written by Janine T. Remillard and published by Routledge. This book was released on 2011-09-20 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles and synthesizes existing research on teachers’ use of mathematics curriculum materials and the impact of curriculum materials on teaching and teachers, with a particular emphasis on – but not restricted to – those materials developed in the 1990s in response to the NCTM’s Principles and Standards for School Mathematics. Despite the substantial amount of curriculum development activity over the last 15 years and growing scholarly interest in their use, the book represents the first compilation of research on teachers and mathematics curriculum materials and the first volume with this focus in any content area in several decades.
Book Synopsis A New Direction in Mathematics for Materials Science by : Susumu Ikeda
Download or read book A New Direction in Mathematics for Materials Science written by Susumu Ikeda and published by Springer. This book was released on 2015-12-08 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first volume of the SpringerBriefs in the Mathematics of Materials and provides a comprehensive guide to the interaction of mathematics with materials science. The anterior part of the book describes a selected history of materials science as well as the interaction between mathematics and materials in history. The emergence of materials science was itself a result of an interdisciplinary movement in the 1950s and 1960s. Materials science was formed by the integration of metallurgy, polymer science, ceramics, solid state physics, and related disciplines. We believe that such historical background helps readers to understand the importance of interdisciplinary interaction such as mathematics–materials science collaboration. The middle part of the book describes mathematical ideas and methods that can be applied to materials problems and introduces some examples of specific studies—for example, computational homology applied to structural analysis of glassy materials, stochastic models for the formation process of materials, new geometric measures for finite carbon nanotube molecules, mathematical technique predicting a molecular magnet, and network analysis of nanoporous materials. The details of these works will be shown in the subsequent volumes of this SpringerBriefs in the Mathematics of Materials series by the individual authors. The posterior section of the book presents how breakthroughs based on mathematics–materials science collaborations can emerge. The authors' argument is supported by the experiences at the Advanced Institute for Materials Research (AIMR), where many researchers from various fields gathered and tackled interdisciplinary research.
Book Synopsis Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning by : Wendy M. Smith
Download or read book Transformational Change Efforts: Student Engagement in Mathematics through an Institutional Network for Active Learning written by Wendy M. Smith and published by American Mathematical Soc.. This book was released on 2021-05-05 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this handbook is to help launch institutional transformations in mathematics departments to improve student success. We report findings from the Student Engagement in Mathematics through an Institutional Network for Active Learning (SEMINAL) study. SEMINAL's purpose is to help change agents, those looking to (or currently attempting to) enact change within mathematics departments and beyond—trying to reform the instruction of their lower division mathematics courses in order to promote high achievement for all students. SEMINAL specifically studies the change mechanisms that allow postsecondary institutions to incorporate and sustain active learning in Precalculus to Calculus 2 learning environments. Out of the approximately 2.5 million students enrolled in collegiate mathematics courses each year, over 90% are enrolled in Precalculus to Calculus 2 courses. Forty-four percent of mathematics departments think active learning mathematics strategies are important for Precalculus to Calculus 2 courses, but only 15 percnt state that they are very successful at implementing them. Therefore, insights into the following research question will help with institutional transformations: What conditions, strategies, interventions and actions at the departmental and classroom levels contribute to the initiation, implementation, and institutional sustainability of active learning in the undergraduate calculus sequence (Precalculus to Calculus 2) across varied institutions?
Book Synopsis Reggio-Inspired Mathematics by : Richmond School District
Download or read book Reggio-Inspired Mathematics written by Richmond School District and published by Lulu.com. This book was released on 2015-09-03 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This booklet documents our school district's collaborative inquiry project looking at how Reggio-inspired practices can inform and enhance primary mathematics teaching and learning.
Download or read book Math Made Visual written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2006-12-31 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs, and arguments? The [Author];s of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece, and India, but only in the last thirty years has there been a growing interest in so-called ``proofs without words''. Hundreds of these have been published in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the internet. Often a person encountering a ``proof without words'' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book, the [Author];s show that behind most of the pictures, ``proving'' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.
Book Synopsis Rediscovering Mathematics by : Shai Simonson
Download or read book Rediscovering Mathematics written by Shai Simonson and published by American Mathematical Soc.. This book was released on 2019-07-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rediscovering Mathematics is aimed at a general audience and addresses the question of how best to teach and study mathematics. The book attempts to bring the exciting and dynamic world of mathematics to a non-technical audience. With so much focus today on how best to educate the new generation and make mathematics less rote and more interactive, this book is an eye-opening experience for many people who suffered with dull math teachers and curricula. Rediscovering Mathematics is an eclectic collection of mathematical topics and puzzles aimed at talented youngsters and inquisitive adults who want to expand their view of mathematics. By focusing on problem solving, and discouraging rote memorization, the book shows how to learn and teach mathematics through investigation, experimentation, and discovery. Rediscovering Mathematics is also an excellent text for training math teachers at all levels. Topics range in difficulty and cover a wide range of historical periods, with some examples demonstrating how to uncover mathematics in everyday life, including: number theory and its application to secure communication over the Internet, the algebraic and combinatorial work of a medieval mathematician Rabbi, and applications of probability to sports, casinos, and gambling. Rediscovering Mathematics provides a fresh view of mathematics for those who already like the subject, and offers a second chance for those who think they don't.
Book Synopsis Elementary Mathematics Curriculum Materials by : Janine T. Remillard
Download or read book Elementary Mathematics Curriculum Materials written by Janine T. Remillard and published by Springer Nature. This book was released on 2020-03-16 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents comparative analyses of five elementary mathematics curriculum programs used in the U.S. from three different perspectives: the mathematical emphasis, the pedagogical approaches, and how authors communicate with teachers. These perspectives comprise a framework for examining what curriculum materials are comprised of, what is involved in reading and interpreting them, and how curriculum authors can and do support teachers in this process. Although the focus of the analysis is 5 programs used at a particular point in time, this framework extends beyond these specific programs and illuminates the complexity of curriculum materials and their role in teaching in general. Our analysis of the mathematical emphasis considers how the mathematics content is presented in each program, in terms of sequencing, the nature of mathematical tasks (cognitive demand and ongoing practice), and the way representations are used. Our analysis of the pedagogical approach examines explicit and implicit messages about how students should interact with mathematics, one another, the teacher, and the textbook around these mathematical ideas, as well as the role of the teacher. In order to examine how curriculum authors support teachers, we analyze how they communicate with teachers and what they communicate about, including the underlying mathematics, noticing student thinking, and rationale for design elements. The volume includes a chapter on curriculum design decisions based on interviews with curriculum authors.
Book Synopsis Exploring Mathematics Through Literature by : Diane Thiessen
Download or read book Exploring Mathematics Through Literature written by Diane Thiessen and published by National Council of Teachers of English. This book was released on 2004 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles and lessons provides classroom examples of how to use children's literature to teach mathematics effectively in prekindergarten through eighth grade. The articles focus on five content strands-number and operations, algebra, geometry, measurement and data analysis and probability-and describe how the different authors have used specific books to help their students learn mathematics. Most of the articles involve communication, problem solving, representation and reasoning and some of them address connections. Helpful teacher notes indicate the grade range, topic, literature selection featured in the lesson, materials needed, discussion of the mathematics and questions for students. Blackline masters of recording sheets are also included for most lessons.
Book Synopsis Pedagogical Material in Mathematics -A Handbook for Pre-service and In-service Teachers by : Dr. Roohi Fatima
Download or read book Pedagogical Material in Mathematics -A Handbook for Pre-service and In-service Teachers written by Dr. Roohi Fatima and published by Blue Rose Publishers. This book was released on 2022-03-21 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pedagogical material has an effective role in the teaching-learning process of mathematics. It engages the learner and sustains their interest in mathematics. By using the Pedagogical Materials given in this book properly in mathematics classrooms, teachers can empower their students to think like Creative Mathematicians. Concrete examples of Pedagogical Material and their detailed description used by the author and her students for teaching different concepts in Real Mathematics Classrooms are discussed in different chapters of this book. Each activity describes in detail, not only the required material, how to make that pedagogical material, and how to use/perform it in the classroom but also, what is the objective of this activity and what should be the previous knowledge/entry behaviour of the child to understand that concept.
Book Synopsis Teaching Mathematics Through Story by : Caroline McGrath
Download or read book Teaching Mathematics Through Story written by Caroline McGrath and published by Routledge. This book was released on 2014-06-27 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the exciting ways in which story can be used as a flexible resource to facilitate children’s mathematical thinking. It looks at the potential relationship between story and mathematics and practically demonstrates how they can be combined to help children connect, understand and express mathematical ideas using story language. This book draws on practical work with children, educators, parents, professional storytellers, and trainee practitioners, who bring theoretical ideas to life and offer insight into their mathematical story experiences. It is a ‘must have’ for all those who want to make mathematics relevant, accessible and imaginative for young children.
Book Synopsis Critical Issues in Mathematics Education by : Bharath Sriraman
Download or read book Critical Issues in Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2009-06-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.
Book Synopsis Teaching Mathematics in Grades 6 - 12 by : Randall E. Groth
Download or read book Teaching Mathematics in Grades 6 - 12 written by Randall E. Groth and published by SAGE Publications. This book was released on 2012-08-10 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.
Book Synopsis Mathematics for Social Justice: Resources for the College Classroom by : Gizem Karaali
Download or read book Mathematics for Social Justice: Resources for the College Classroom written by Gizem Karaali and published by American Mathematical Soc.. This book was released on 2019-07-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education. The volume editors are leaders of the national movement to include social justice material into mathematics teaching. Gizem Karaali is Associate Professor of Mathematics at Pomona College. She is one of the founding editors of The Journal of Humanistic Mathematics, and an associate editor for The Mathematical Intelligencer and Numeracy ; she also serves on the editorial board of the MAA's Carus Mathematical Monographs. Lily Khadjavi is Associate Professor of Mathematics at Loyola Marymount University and is a past co-chair of the Infinite Possibilities Conference. She has served on the boards of Building Diversity in Science, the Barbara Jordan-Bayard Rustin Coalition, and the Harvard Gender and Sexuality Caucus.
Book Synopsis From Text to 'Lived' Resources by : Ghislaine Gueudet
Download or read book From Text to 'Lived' Resources written by Ghislaine Gueudet and published by Springer Science & Business Media. This book was released on 2011-09-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: What kinds of curriculum materials do mathematics teachers select and use, and how? This question is complex, in a period of deep evolutions of teaching resources, with the proficiency of online resources in particular. How do teachers learn from these materials, and in which ways do they ‘tailor’ them for their use and pupil learning? Teachers collect resources, select, transform, share, implement, and revise them. Drawing from the French term « ingénierie documentaire »,we call these processes « documentation ». The literal English translation is « to work with documents », but the meaning it carries is richer. Documentation refers to the complex and interactive ways that teachers work with resources; in-class and out-of-class, individually, but also collectively.
Book Synopsis Bayesian Optimization for Materials Science by : Daniel Packwood
Download or read book Bayesian Optimization for Materials Science written by Daniel Packwood and published by Springer. This book was released on 2017-10-04 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a short and concise introduction to Bayesian optimization specifically for experimental and computational materials scientists. After explaining the basic idea behind Bayesian optimization and some applications to materials science in Chapter 1, the mathematical theory of Bayesian optimization is outlined in Chapter 2. Finally, Chapter 3 discusses an application of Bayesian optimization to a complicated structure optimization problem in computational surface science.Bayesian optimization is a promising global optimization technique that originates in the field of machine learning and is starting to gain attention in materials science. For the purpose of materials design, Bayesian optimization can be used to predict new materials with novel properties without extensive screening of candidate materials. For the purpose of computational materials science, Bayesian optimization can be incorporated into first-principles calculations to perform efficient, global structure optimizations. While research in these directions has been reported in high-profile journals, until now there has been no textbook aimed specifically at materials scientists who wish to incorporate Bayesian optimization into their own research. This book will be accessible to researchers and students in materials science who have a basic background in calculus and linear algebra.
Book Synopsis Mathematics and the Body by : Elizabeth de Freitas
Download or read book Mathematics and the Body written by Elizabeth de Freitas and published by Cambridge University Press. This book was released on 2014-06-02 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book expands the landscape of research in mathematics education by analyzing how the body influences mathematical thinking.
