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Invitation To Algebra A Resource Compendium For Teachers Advanced Undergraduate Students And Graduate Students In Mathematics
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Book Synopsis Invitation To Algebra: A Resource Compendium For Teachers, Advanced Undergraduate Students And Graduate Students In Mathematics by : Vlastimil Dlab
Download or read book Invitation To Algebra: A Resource Compendium For Teachers, Advanced Undergraduate Students And Graduate Students In Mathematics written by Vlastimil Dlab and published by World Scientific. This book was released on 2020-06-09 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a compendium style account of a comprehensive mathematical journey from Arithmetic to Algebra. It contains material that is helpful to graduate and advanced undergraduate students in mathematics, university and college professors teaching mathematics, as well as some mathematics teachers teaching in the final year of high school. A successful teacher must know more than what a particular course curriculum asks for. A number of topics that are missing in present-day textbooks, and which may be attractive to students at the graduate or advanced undergraduate level in mathematics, for example, continued fractions, arithmetic progressions of higher order, complex numbers in plane geometry, differential schemes, path semigroups and path algebras, have been carefully presented. This reflects the aim of the book to attract students to mathematics.
Book Synopsis Accessible Algebra by : Anne Collins
Download or read book Accessible Algebra written by Anne Collins and published by Stenhouse Publishers. This book was released on 2017 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible Algebra: 30 Modules to Promote Algebraic Reasoning, Grades 7-10 is for any pre-algebra or algebra teacher who wants to provide a rich and fulfilling experience for students as they develop new ways of thinking through and about algebra. The book includes 30 lessons that identifies a focal domain and standard in algebra, then lays out the common misconceptions and challenges students may face as they work to investigate and understand problems. Authors Anne Collins and Steven Benson conferred with students in real classrooms as the students explained what problem-solving strategies they were using or worked to ask the right questions that would lead them to a deeper understanding of algebra. Each scenario represents actual instances of an algebra classroom that demonstrate effective teaching methods, real-life student questions, and conversations about the problems at hand. Accessible Algebra works for students at every level. In each lesson there are sections on how to support struggling students, as well as ways to challenge students who may need more in-depth work. There are also numerous additional resources, including research articles and classroom vignettes.
Download or read book Resources in Education written by and published by . This book was released on 1997 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers by : Nicholas H. Wasserman
Download or read book Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers written by Nicholas H. Wasserman and published by Springer. This book was released on 2018-12-12 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers are frequently required to take a large number of mathematics courses – including advanced mathematics courses such as abstract algebra – as part of their initial teacher preparation program and/or their continuing professional development. The content areas of advanced and secondary mathematics are closely connected. Yet, despite this connection many secondary teachers insist that such advanced mathematics is unrelated to their future professional work in the classroom. This edited volume elaborates on some of the connections between abstract algebra and secondary mathematics, including why and in what ways they may be important for secondary teachers. Notably, the volume disseminates research findings about how secondary teachers engage with, and make sense of, abstract algebra ideas, both in general and in relation to their own teaching, as well as offers itself as a place to share practical ideas and resources for secondary mathematics teacher preparation and professional development. Contributors to the book are scholars who have both experience in the mathematical preparation of secondary teachers, especially in relation to abstract algebra, as well as those who have engaged in related educational research. The volume addresses some of the persistent issues in secondary mathematics teacher education in connection to advanced mathematics courses, as well as situates and conceptualizes different ways in which abstract algebra might be influential for teachers of algebra. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers is a productive resource for mathematics teacher educators who teach capstone courses or content-focused methods courses, as well as for abstract algebra instructors interested in making connections to secondary mathematics.
Book Synopsis Introductory Algebra by : Alice Kaseberg
Download or read book Introductory Algebra written by Alice Kaseberg and published by Brooks/Cole. This book was released on 2012-02 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Student Workbook contains all of the assessments, activities, and worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.
Book Synopsis Directions For Mathematics Research Experience For Undergraduates by : Rubinstein Yanir A
Download or read book Directions For Mathematics Research Experience For Undergraduates written by Rubinstein Yanir A and published by World Scientific. This book was released on 2015-09-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.”This was the premise of the conference held at Mt. Holyoke College during 21-22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010-2012).This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.
Book Synopsis Introductory Algebra: Everyday Explorations by : Alice Kaseberg
Download or read book Introductory Algebra: Everyday Explorations written by Alice Kaseberg and published by Cengage Learning. This book was released on 2012-01-27 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kaseberg/Cripe/Wildman's respected INTRODUCTORY ALGEBRA is known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy. This new edition introduces two new co-authors, Greg Cripe and Peter Wildman. The three authors have created a new textbook that introduces new pedagogy to teach students how to be better prepared to succeed in math and then life by strengthening their ability to solve critical-thinking problems. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Author :Center for Science, Mathematics, and Engineering Education Publisher :National Academies Press ISBN 13 :0309522455 Total Pages :206 pages Book Rating :4.3/5 (95 download)
Book Synopsis The Nature and Role of Algebra in the K-14 Curriculum by : Center for Science, Mathematics, and Engineering Education
Download or read book The Nature and Role of Algebra in the K-14 Curriculum written by Center for Science, Mathematics, and Engineering Education and published by National Academies Press. This book was released on 1998-10-07 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.
Book Synopsis Basic Abstract Algebra by : Robert B. Ash
Download or read book Basic Abstract Algebra written by Robert B. Ash and published by Courier Corporation. This book was released on 2013-06-17 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.
Book Synopsis Intermediate Algebra: Everyday Explorations by : Alice Kaseberg
Download or read book Intermediate Algebra: Everyday Explorations written by Alice Kaseberg and published by Cengage Learning. This book was released on 2012-01-27 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kaseberg/Cripe/Wildman's respected INTERMEDIATE ALGEBRA is known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy. This new edition introduces two new co-authors, Greg Cripe and Peter Wildman. The three authors have created a new textbook that introduces new pedagogy to teach students how to be better prepared to succeed in math and then life by strengthening their ability to solve critical-thinking problems. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
Book Synopsis The Nature and Role of Algebra in the K-14 Curriculum by : National Research Council
Download or read book The Nature and Role of Algebra in the K-14 Curriculum written by National Research Council and published by National Academies Press. This book was released on 1998-10-23 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the 1989 release of Everybody Counts by the Mathematical Sciences Education Board (MSEB) of the National Research Council and the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM), the "standards movement" in K-12 education was launched. Since that time, the MSEB and the NCTM have remained committed to deepening the public debate, discourse, and understanding of the principles and implications of standards-based reform. One of the main tenets in the NCTM Standards is commitment to providing high-quality mathematical experiences to all students. Another feature of the Standards is emphasis on development of specific mathematical topics across the grades. In particular, the Standards emphasize the importance of algebraic thinking as an essential strand in the elementary school curriculum. Issues related to school algebra are pivotal in many ways. Traditionally, algebra in high school or earlier has been considered a gatekeeper, critical to participation in postsecondary education, especially for minority students. Yet, as traditionally taught, first-year algebra courses have been characterized as an unmitigated disaster for most students. There have been many shifts in the algebra curriculum in schools within recent years. Some of these have been successful first steps in increasing enrollment in algebra and in broadening the scope of the algebra curriculum. Others have compounded existing problems. Algebra is not yet conceived of as a K-14 subject. Issues of opportunity and equity persist. Because there is no one answer to the dilemma of how to deal with algebra, making progress requires sustained dialogue, experimentation, reflection, and communication of ideas and practices at both the local and national levels. As an initial step in moving from national-level dialogue and speculations to concerted local and state level work on the role of algebra in the curriculum, the MSEB and the NCTM co-sponsored a national symposium, "The Nature and Role of Algebra in the K-14 Curriculum," on May 27 and 28, 1997, at the National Academy of Sciences in Washington, D.C.
Book Synopsis Classroom-Ready Rich Algebra Tasks, Grades 6-12 by : Barbara J. Dougherty
Download or read book Classroom-Ready Rich Algebra Tasks, Grades 6-12 written by Barbara J. Dougherty and published by Corwin Press. This book was released on 2023-02-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stop algebra from being a mathematical gatekeeper. With rich math tasks, all students can succeed. Every teacher strives to make instruction effective and interesting, yet traditional methods of teaching algebra are not working for many students! That’s a problem. But the answer isn’t to supplement the curriculum with random tasks. Classroom Ready-Rich Math Tasks for Grades 6-12 equips you with a cohesive solution--50+ mathematical tasks that are rich, research-based, standards-aligned, and classroom-tested. The tasks: Are organized into learning progressions that help all students make the leap from arithmetic to algebra Offer students interesting mathematics problems to think about and solve so math is investigative, interactive, and engaging Provide opportunities for you to connect new content to prior knowledge or focus on an underdeveloped concept Engage students in conceptual understanding, procedural practice, and problem solving through critical thinking and application Come with downloadable planning tools, student resource pages, and extension questions Include additional support for students who may be struggling Every learner deserves opportunities to engage in meaningful, rigorous mathematics. And every teacher can develop mathematical thinking and reasoning abilities in students. Part of the bestselling series spanning elementary and middle school, Classroom-Ready Rich Algebra Tasks, Grades 6-12 is a powerful add-on to any core mathematics program at your school.
Book Synopsis The Learning and Teaching of Algebra by : Abraham Arcavi
Download or read book The Learning and Teaching of Algebra written by Abraham Arcavi and published by Routledge. This book was released on 2016-06-23 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.
Author :Mathematical Association of America. Committee on the Undergraduate Program in Mathematics Publisher : ISBN 13 : Total Pages :86 pages Book Rating :4.F/5 ( download)
Book Synopsis A Beginning Graduate Program in Mathematics for Prospective Teachers of Undergraduates by : Mathematical Association of America. Committee on the Undergraduate Program in Mathematics
Download or read book A Beginning Graduate Program in Mathematics for Prospective Teachers of Undergraduates written by Mathematical Association of America. Committee on the Undergraduate Program in Mathematics and published by . This book was released on 1969 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advanced Algebra for Teachers by : Kirthi Premadasa
Download or read book Advanced Algebra for Teachers written by Kirthi Premadasa and published by . This book was released on 2011-03-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Taking Charge of Curriculum by : Jacob Adams
Download or read book Taking Charge of Curriculum written by Jacob Adams and published by Teachers College Press. This book was released on with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do teachers adapt to the demands of curriculum change and new educational standards? How do they learn what is expected of them? In this pathbreaking work, Jacob Adams examines how a promising new professional structure, the teacher network, helped teachers implement a novel and challenging high school mathematics curriculum and how it fostered teachers’ determination and ability to get the job done, when traditional staff development supports did not. Beginning with an in-depth examination of the demands of policy on practice, the author concludes with a practice-based model for professional development and curriculum implementation. An important contribution to the discourse on standards, school improvement, and professional development, this volume covers timely topics that are crucial to the understanding of how teachers can work most effectively in this time of curricular change. “This important book engages us in many of the crucial educational issues of our day. Readers will find themselves asking, What is the relationship between policy and practice, and how does it get played out over time? How do teacher professional networks provide important alternatives to traditional staff development strategies? What are the connections among state, district, school, and teachers’ classrooms, and what forms do they take when curriculum implementation is the goal?” —From the Foreword by Ann Lieberman
Author :Conference Board of the Mathematical Sciences Publisher :American Mathematical Soc. ISBN 13 :9780821828991 Total Pages :164 pages Book Rating :4.8/5 (289 download)
Book Synopsis The Mathematical Education of Teachers by : Conference Board of the Mathematical Sciences
Download or read book The Mathematical Education of Teachers written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.
