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Selected Topics In The Teaching Of Mathematics
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Download or read book Mathematics++ written by Ida Kantor and published by American Mathematical Soc.. This book was released on 2015-08-27 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.
Book Synopsis Selected Topics in the Teaching of Mathematics by : National Council of Teachers of Mathematics
Download or read book Selected Topics in the Teaching of Mathematics written by National Council of Teachers of Mathematics and published by . This book was released on 1928 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Topics in the Teaching of Mathematics by :
Download or read book Selected Topics in the Teaching of Mathematics written by and published by . This book was released on 1966 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Selected Topics in the Teaching of Mathematics by :
Download or read book Selected Topics in the Teaching of Mathematics written by and published by . This book was released on 1928 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Selected Topics in the Teaching of Mathematics by : Bureau of Publications Teacher's College, Columbia University
Download or read book Selected Topics in the Teaching of Mathematics written by Bureau of Publications Teacher's College, Columbia University and published by . This book was released on 1928 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Key Ideas in Teaching Mathematics by : Anne Watson
Download or read book Key Ideas in Teaching Mathematics written by Anne Watson and published by Oxford University Press, USA. This book was released on 2013-02-21 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: International research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.
Book Synopsis Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom by : Solomon Friedberg
Download or read book Teaching Mathematics in Colleges and Universities: Case Studies for Today's Classroom written by Solomon Friedberg and published by American Mathematical Soc.. This book was released on 2001 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: by analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the case studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples presented here are chosen to offer a serious set of detailed teaching issues and to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. The methodology of case studies is widely used in areas such as business and law. The consideration of the mathematics cases presented here should help readers to develop teaching skills for their own classrooms.
Book Synopsis Mathematics Content for Elementary Teachers by : Douglas K. Brumbaugh
Download or read book Mathematics Content for Elementary Teachers written by Douglas K. Brumbaugh and published by Routledge. This book was released on 2004-09-22 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: THE book for elementary education mathematics content courses! Designed to help prospective teachers of elementary school mathematics learn content beyond the rote level, this text stimulates readers to think beyond just getting the problem right and fosters their development into thoughtful, reflective, self-motivated, life-long learners. It stresses the what and why of elementary school mathematics content. Hints are provided about how to teach the content but this is mostly left to courses and texts that are dedicated to that purpose. The text is organized around the National Council for Teachers of Mathematics' Principles and Standards for School Mathematics. The Standards dictate the basic sections of the text. Within each section, appropriate specific topics are developed, intertwined with technology, problem solving, assessment, equity issues, planning, teaching skills, use of manipulatives, sequencing, and much more. In addition, major focal points of the Standards are emphasized throughout: effective teachers of mathematics should be able to motivate all students to learn, should understand the developmental levels of how children learn, should concentrate on what children need to become active participants in the learning environment, and should be engaged in ongoing investigations of new mathematical concepts and teaching strategies. Mathematics Content for Elementary Teachers is based on several fundamental premises: *The focus of mathematics education should be on the process, not the answer. *Elementary teachers should know the mathematics content they are teaching, know more than the content they are teaching, and teach from the overflow of knowledge. *It is important for teachers to be flexible in allowing students to use different procedures--teaching from the "overflow of knowledge" implies knowing how to do a given operation more than one way and being willing to examine many different ways. *Teachers need to learn to carefully cover the topics to be taught, to reflect upon them, and to be able to organize them. To help prospective elementary teachers concentrate on the mathematics content they will be expected to teach and begin to build the foundation for the methods they will use, this text includes only elementary mathematics content and does not address middle school concepts. Pedagogical features: *The text is organized according to NCTM Standards. *An informal writing style speaks directly to readers and is geared to pre-service teachers. *Focus is given to multiple methods of problem solving at four developmental levels. *Questions, exercises, and activities are interspersed throughout each section rather than gathered at the end of each chapter. *Complete solutions for exercises are provided.
Book Synopsis Mathematical Mindsets by : Jo Boaler
Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
Book Synopsis Selected topics from mathematics education by : Ragnar Solvang
Download or read book Selected topics from mathematics education written by Ragnar Solvang and published by . This book was released on 1994 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Special Issues in Early Childhood Mathematics Education Research by :
Download or read book Special Issues in Early Childhood Mathematics Education Research written by and published by BRILL. This book was released on 2022-02-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, 23 contributors offer new insights on key issues in mathematics education in early childhood.
Book Synopsis Making Sense of Mathematics for Teaching Grades 6-8 by : Edward C. Nolan
Download or read book Making Sense of Mathematics for Teaching Grades 6-8 written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-04-13 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. 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. 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 grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index
Book Synopsis High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by : Robert Q. Berry III
Download or read book High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice written by Robert Q. Berry III and published by Corwin Press. This book was released on 2020-03-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower students to be the change—join the teaching mathematics for social justice movement! We live in an era in which students have —through various media and their lived experiences— a more visceral experience of social, economic, and environmental injustices. However, when people think of social justice, mathematics is rarely the first thing that comes to mind. Through model lessons developed by over 30 diverse contributors, this book brings seemingly abstract high school mathematics content to life by connecting it to the issues students see and want to change in the world. Along with expert guidance from the lead authors, the lessons in this book explain how to teach mathematics for self- and community-empowerment. It walks teachers step-by-step through the process of using mathematics—across all high school content domains—as a tool to explore, understand, and respond to issues of social injustice including: environmental injustice; wealth inequality; food insecurity; and gender, LGBTQ, and racial discrimination. This book features: Content cross-referenced by mathematical concept and social issues Downloadable instructional materials for student use User-friendly and logical interior design for daily use Guidance for designing and implementing social justice lessons driven by your own students’ unique passions and challenges Timelier than ever, teaching mathematics through the lens of social justice will connect content to students’ daily lives, fortify their mathematical understanding, and expose them to issues that will make them responsive citizens and leaders in the future.
Book Synopsis Teaching Mathematics Visually and Actively by : Tandi Clausen-May
Download or read book Teaching Mathematics Visually and Actively written by Tandi Clausen-May and published by SAGE. This book was released on 2013-10-14 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical book provides teachers in primary and secondary schools with advice and resources to develop a visual and active approach to teaching mathematics. It includes, specific examples of teaching strategies and ideas for lesson activities to support teaching mathematics to learners who take information and ideas visually and actively. Accompanying this second edition is a companion website that includes a range of resources for teaching each topic including: - Dynamic PowerPoint animations which can be used to help learners to develop their understanding of key mathematical concepts - Posters of each concept And in addition to all this, each chapter suggests even further links to other useful resources for every topic to enhance your teaching. With clear explanations and strong visual layout, this is an ideal resource for teachers, SENCOs (Special Educational Needs Co-ordinators) and teaching assistants who want to motivate their learners with different and exciting ways of teaching and learning maths.
Book Synopsis Students' and Teachers' Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms by : Hanna Palmér
Download or read book Students' and Teachers' Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms written by Hanna Palmér and published by Springer. This book was released on 2017-12-04 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume is an exciting product of the 22nd MAVI conference, which presents cutting-edge research on affective issues in teaching and learning math. The teaching and learning of mathematics is highly dependent on students’ and teachers’ values, attitudes, feelings, beliefs and motivations towards mathematics and mathematics education. These peer-reviewed contributions provide critical insights through their theoretically and methodologically diverse analyses of relevant issues related to affective factors in teaching and learning math and offer new tools and strategies by which to evaluate affective factors in students’ and teachers’ mathematical activities in the classroom. Among the topics discussed: The relationship between proxies for learning and mathematically related beliefs. Teaching for entrepreneurial and mathematical competences. Prospective teachers’ conceptions of the concepts mean, median, and mode. Prospective teachers’ approach to reasoning and proof The impact of assessment on students’ experiences of mathematics. Through its thematic connections to teacher education, professional development, assessment, entrepreneurial competences, and reasoning and proof, Students' and Teachers' Values, Attitudes, Feelings and Beliefs in Mathematics Classrooms proves to be a valuable resource for educators, practitioners, and students for applications at primary, secondary, and university levels.
Book Synopsis Teaching Mathematics by : Max A. Sobel
Download or read book Teaching Mathematics written by Max A. Sobel and published by Allyn & Bacon. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.
