Download or read book Motivated Mathematics written by A. Evyatar and published by CUP Archive. This book was released on 1981-08-31 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ideas of mathematics can be understood through the techniques needed to solve problems which crop up in everyday life. Conversely, these problems can illustrate how mathematics develops 'naturally'. The essence of this informal book is to motivate mathematics by examining mathematical models of situations and problems that occur in the real world. Each chapter deals with a specific mathematical topic and each topic is introduced at different levels to provide motivation for students of varying mathematical maturity. The authors emphasize that although applications provide motivation, they are not trying to supply aids for teaching applied mathematics. It is mathematical notions and how they can be developed that are important. We thus have an interesting inversion of aims: physics, biology, linguistics, etc., are here applied to the teaching of mathematics. The bank of ideas in this practical manual will be valuable to teachers of mathematics at schools, colleges and, to a certain extent, universities. Student teachers will also find here a great deal of material of use and interest.
Download or read book Motivation Matters and Interest Counts written by James A. Middleton and published by . This book was released on 2011 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do smart people disengage from mathematical pursuits…and how can we reverse the trend? This book is designed to be the go-to source for information on mathematical motivation. It presents the full body of research on motivation in a useful, interesting and provocative matter.
Download or read book Attitudes Beliefs Motivation and Identity in Mathematics Education written by Markku S. Hannula and published by Springer. This book was released on 2016-06-14 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three broad categories of affect: motivation, emotions, and beliefs. The book contains one chapter on motivation, including discussions on how emotions and beliefs relate to motivation. There are two chapters that focus on beliefs and a chapter on attitude which cross-cuts through all these categories. The second dimension covers a rapidly fluctuating state to a more stable trait. All chapters in the book focus on trait-type affect and the chapter on motivation discusses both these dimensions. The third dimension regards the three main levels of theorizing: physiological (embodied), psychological (individual) and social. All chapters reflect that mathematics-related affect has mainly been studied using psychological theories.
Download or read book Affect and Mathematics Education written by Markku S. Hannula and published by Springer. This book was released on 2019-06-03 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 topic study group “Affect, beliefs and identity in mathematics education”, presents the latest trends in research in the area. Following an introduction and a survey chapter providing a concise overview of the state-of-art in the field of mathematics-related affect, the book is divided into three main sections: motivation and values, engagement, and identity in mathematics education. Each section comprises several independent chapters based on original research, as well as a reflective commentary by an expert in the area. Collectively, the chapters present a rich methodological spectrum, from narrative analysis to structural equation modelling. In the final chapter, the editors look ahead to future directions in the area of mathematics-education-related affect. It is a timely resource for all those interested in the interaction between affect and mathematics education.
Download or read book Motivating Mathematics Engaging Teachers And Engaged Students written by David Graham Wells and published by World Scientific Publishing Company. This book was released on 2015-10-15 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Motivating Mathematics demonstrates that pupils can be motivated by being given the Big Picture, including a clearer picture of the nature of maths, and by linking topics to the sciences, rather than teaching each topic in isolation. The author emphasises the many virtues of problem-solving, strongly emphasised in secondary education specifications, especially the role of perception, and the ability of pupils to create their own proofs and to appreciate 'cool' ideas and arguments.David Wells draws on his extensive experience of teaching primary and secondary pupils and his understanding not just of how students think about mathematics, but of how they feel about a subject which so often seems merely a collection of facts and rules to be mastered. This book will be of immediate practical use to teachers and students at all levels.Anyone involved in mathematics education will benefit from reading this inspiring book, whether classroom teacher, trainer, teacher in training or professional development, or even parent. The book will also be of interest to policy makers and others with an investment in the future of mathematics education.
Download or read book The Geometry of Schemes written by David Eisenbud and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Download or read book Effective Techniques to Motivate Mathematics Instruction written by Alfred S. Posamentier and published by Routledge. This book was released on 2016-04-28 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective Techniques to Motivate Mathematics Instruction offers pre-and in-service teachers best practices and techniques that can be used to motivate students in the first few minutes of any lesson in mathematics. Veteran teacher educators Posamentier and Krulik show how a bit of creativity and planning up front pays back by enabling a successful lesson on even the most challenging mathematics topic. Organized around nine different motivational techniques, each chapter includes a variety of illustrative examples of how the technique may be applied. Designed to complement any methods textbook, this practical, accessible guide helps future math teachers ease the transition from successful student to successful teacher by developing the tools needed to create motivational introductions in their classes.
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Download or read book Motivation in Mathematics written by Martha Carr and published by Hampton Press (NJ). This book was released on 1996 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the different issues in motivation in mathematics. Chapters are included that present both theory and research on the influence of gender, culture, the classroom environment, and curriculum on children's mathematical performance and evaluation.
Download or read book Motivated written by Ilana Seidel Horn and published by Heinemann Educational Books. This book was released on 2017 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do your math students offer one- or two-word responses in class? Do your carefully planned lessons feel unsuccessful? "I've tried everything," you think. "Shouldn't math be a little more engaging?" Ilana Seidel Horn understands your frustration. Participating in math class feels socially risky to students. Staying silent often feels safer. In Motivated, Ilana shows why certain teaching strategies create classroom climates where students want to join in. Five factors of motivational math classrooms She introduces six different math teachers, in a range of school settings, who found that motivation requires more than an interesting problem. Their experiences highlight five factors that lower the risks and raise the benefits of participation: Belongingness comes from students' frequent, pleasant interactions with their peers and teachers. Meaningfulness answers the question, "When are we going to use this?" Competence helps all students discover their mathematical strengths. Accountability inspires students to participate in classroom life. Autonomy produces learners with tools for making sense of their work and seeing it through. These features of motivational math classrooms are explored in-depth. You'll find suggestions for identifying what impedes each factor, along with strategies for weaving them into your instruction. You'll also be introduced to an online community who support each other's efforts to teach this way. A guidebook for motivating math students Motivated is a guidebook for teachers unsatisfied with questions met by silence. By examining what works in other classrooms and following the example of been-there teachers, you'll start changing slumped shoulders and blank stares into energetic, engaged learners.
Download or read book Mathematics Motivated by the Social and Behavioral Sciences written by Donald G. Saari and published by SIAM. This book was released on 2018-02-06 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical challenges coming from the social and behavioral sciences differ significantly from typical applied mathematical concerns. ?Change,? for instance, is ubiquitous, but without knowing the fundamental driving force, standard differential and iterative methods are not appropriate. Although differing forms of aggregation are widely used, a general mathematical assessment of potential pitfalls is missing. These realities provide opportunities to create new mathematical approaches. These themes are described in an introductory, expository, and accessible manner by exploring new ways to handle dynamics and evolutionary game theory, to identify subtleties of decision and voting methods, to recognize unexpected modeling concerns, and to introduce new approaches with which to examine game theory. Applications range from avoiding undesired consequences when designing policy to identifying unanticipated voting (where the ?wrong? person could win), nonparametric statistical, and economic ?supply and demand? properties.
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Download or read book Contemporary Motivated Mathematics written by Stanley J. Bezuszka and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rethinking Mathematics written by Eric Gutstein and published by Rethinking Schools. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.
Download or read book Motivational Profiles in TIMSS Mathematics written by Michalis P. Michaelides and published by Springer Nature. This book was released on 2019-09-03 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book presents a person-centered exploration of student profiles, using variables related to motivation to do school mathematics derived from the IEA’s Trends in International Mathematics and Science Study (TIMSS) data. Statistical cluster analysis is used to identify groups of students with similar motivational profiles, across grades and over time, for multiple participating countries. While motivational variables systematically relate to school outcomes, linear relationships can obscure the diverse makeup of student subgroups, each with varying combinations of motivation, emotions, and attitudes. In this book, a person-centered analysis of distinct and meaningful motivational profiles and their differences on sociodemographic variables and mathematics performance broadens understanding about the role that motivation characteristics play in learning and achievement in mathematics. Exploiting the richness of IEA’s TIMSS data from many countries, extracted clusters reveal consistent, as well as certain nuanced patterns that are systematically linked to sociodemographic and achievement measures. Student clusters with inconsistent motivational profiles were found in all countries; mathematics self-confidence then emerged as the variable more closely associated with average achievement. The findings demonstrate that teachers, researchers, and policymakers need to take into account differential student profiles, prioritizing techniques that target skill and competence in mathematics, in educational efforts to develop student motivation.
Download or read book Visible Learning for Mathematics Grades K 12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Calculus With Applications written by Peter D. Lax and published by Springer Science & Business Media. This book was released on 2013-09-21 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Burstein, and Lax's Calculus with Applications and Computing offers meaningful explanations of the important theorems of single variable calculus. Written with students in mathematics, the physical sciences, and engineering in mind, and revised with their help, it shows that the themes of calculation, approximation, and modeling are central to mathematics and the main ideas of single variable calculus. This edition brings the innovation of the first edition to a new generation of students. New sections in this book use simple, elementary examples to show that when applying calculus concepts to approximations of functions, uniform convergence is more natural and easier to use than point-wise convergence. As in the original, this edition includes material that is essential for students in science and engineering, including an elementary introduction to complex numbers and complex-valued functions, applications of calculus to modeling vibrations and population dynamics, and an introduction to probability and information theory.
