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Algebra For Secondary Schools
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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 465 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 Mathematics for Secondary School Teachers by : Elizabeth G. Bremigan
Download or read book Mathematics for Secondary School Teachers written by Elizabeth G. Bremigan and published by MAA. This book was released on 2011 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses topics of central importance in the secondary school mathematics curriculum, including functions, polynomials, trigonometry, exponential and logarithmic functions, number and operation, and measurement. This volume is primarily intended as the text for a bridge or capstone course for pre-service secondary school mathematics teachers.
Book Synopsis Teaching Mathematics at Secondary Level by : Tony Gardiner
Download or read book Teaching Mathematics at Secondary Level written by Tony Gardiner and published by Open Book Publishers. This book was released on 2016-02-08 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Mathematics is nothing less than a mathematical manifesto. Arising in response to a limited National Curriculum, and engaged with secondary schooling for those aged 11 ̶ 14 (Key Stage 3) in particular, this handbook for teachers will help them broaden and enrich their students’ mathematical education. It avoids specifying how to teach, and focuses instead on the central principles and concepts that need to be borne in mind by all teachers and textbook authors—but which are little appreciated in the UK at present.This study is aimed at anyone who would like to think more deeply about the discipline of ‘elementary mathematics’, in England and Wales and anywhere else. By analysing and supplementing the current curriculum, Teaching Mathematics provides food for thought for all those involved in school mathematics, whether as aspiring teachers or as experienced professionals. It challenges us all to reflect upon what it is that makes secondary school mathematics educationally, culturally, and socially important.
Book Synopsis The Mathematics That Every Secondary School Math Teacher Needs to Know by : Alan Sultan
Download or read book The Mathematics That Every Secondary School Math Teacher Needs to Know written by Alan Sultan and published by Routledge. This book was released on 2017-07-20 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to help pre-service and in-service teachers gain the knowledge they need to facilitate students' understanding, competency, and interest in mathematics, the revised and updated Second Edition of this popular text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Highlighting multiple types of mathematical understanding to deepen insight into the secondary school mathematics curriculum, it addresses typical areas of difficulty and common student misconceptions so teachers can involve their students in learning mathematics in a way that is interesting, interconnected, understandable, and often surprising and entertaining. Six content strands are discussed—Numbers and Operations; Algebra; Geometry; Measurement; Data Analysis and Probability; and Proof, Functions, and Mathematical Modeling. The informal, clear style supports an interactive learner-centered approach through engaging pedagogical features: Launch Questions at the beginning of each section capture interest and involve readers in learning the mathematical concepts. Practice Problems provide opportunities to apply what has been learned and complete proofs. Questions from the Classroom bring the content to life by addressing the deep "why" conceptual questions that middle or secondary school students are curious about, and questions that require analysis and correction of typical student errors and misconceptions; focus on counter intuitive results; and contain activities and/or tasks suitable for use with students. Changes in the Second Edition New sections on Robotics, Calculators, Matrix Operations, Cryptography, and the Coefficient of Determination New problems, simpler proofs, and more illustrative examples Answers and hints for selected problems provided
Author :James Taylor Fey Publisher :National Council of Teachers of English ISBN 13 :9780873535311 Total Pages :336 pages Book Rating :4.5/5 (353 download)
Book Synopsis Computer Algebra Systems in Secondary School Mathematics Education by : James Taylor Fey
Download or read book Computer Algebra Systems in Secondary School Mathematics Education written by James Taylor Fey and published by National Council of Teachers of English. This book was released on 2003 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebra Out Loud written by Pat Mower and published by Jossey-Bass. This book was released on 2003-11-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALGEBRA OUT LOUD Learning Mathematics Through Reading and Writing Activities Algebra Out Loud is a unique resource designed for mathematics instructors who are teaching Algebra I and II. This easy-to-use resource is filled with illustrative examples, strategies, activities, and lessons that will help students more easily understand mathematical text and learn the skills they need to effectively communicate mathematical concepts. Algebra Out Loud's strategies and activities will give students the edge in learning how to summarize, analyze, present, utilize, and retain mathematical content. The book offers proven writing activities that will engage the students in writing about algebraic vocabulary, processes, theorems, definitions, and graphs. Algebra Out Loud gives teachers the tools they need to help their students learn how to communicate about math ideas between student and teacher, student and peers, and student and the wider world. For quick access and easy use, the activities are printed in a big 8-1/2" x 11" format for photocopying and are organized into eight chapters. PREREADING STRATEGIES AND ACTIVITIES: Knowledge Ratings . . . Anticipation Guides . . . Problem Solving Prep . . . Wordsmithing. READING AND VOCABULARY BUILDING STRATEGIES AND ACTIVITIES: Magic Square Activity . . . Concept Circles . . . K-W-L . . . Semantic Feature Analysis . . . Graphic Organizers . . . Reading Math Symbols . . . Proof-Reading . . . Semantic Word Map. POSTREADING STRATEGIES AND ACTIVITIES: Group Speak . . . Concept Cards . . . Fryer Model . . . Question-Answer Relationship (QAR) . . . Comparison and Contrast Matrix. READINGS IN MATHEMATICS: The Secret Society of Pythagoreans: An Ancient Cult . . . Marathon Math . . . Egyptian Multiplication. WRITING TO UNDERSTAND ALGEBRA: In Your Own Words: Paraphrasing Activity . . . Methods of Operation . . . Graph Description Activity . . . Crib Sheets . . . Math Story Activity . . . Math Ads . . . The Writing Is on the Wall . . . Creating a Math Mnemonics . . . Creation of Written Problems (or Fat Men in Pink Leotards) . . . Math Concept Paragraphs . . . Math Biographies . . . Experimenting to Learn Algebra Reports . . . Concept Math . . . Learning Log. WRITING TO COMMUNICATE ALGEBRA: Writing Across Campus . . . Group Exposition . . . Guided Math Poetry . . . Math Letters . . . Math Poetry . . . Math Journals . . . Mathematical Investigator. WRITING AS AUTHENTIC ASSESSMENT: Muddiest Point . . . Math Analogies . . . One-Minute Summary . . . Math Is a Four Letter Word . . . E-Writing . . . Math Similes, Metaphors, and Analogies . . . Targeted Problem Solving Assessments. WRITING FOR ASSESSMENT: Math Portfolio . . . Math Essay . . . Write Question . . . Math Posters.
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 Mathematics for High School Teachers by : Zalman Usiskin
Download or read book Mathematics for High School Teachers written by Zalman Usiskin and published by Prentice Hall. This book was released on 2003 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: For algebra or geometry courses for teachers; courses in topics of mathematics; capstone courses for teachers or other students of mathematics; graduate courses for practicing teachers; or students who want a better understanding of mathematics. Filling a wide gap in the market, this text provides current and prospective high school teachers with an advanced treatment of mathematics that will help them understand the connections between the mathematics they will be teaching and the mathematics learned in college. It presents in-depth coverage of the most important concepts in high school mathematics: real numbers, functions, congruence, similarity, and more.
Book Synopsis The Learning and Teaching of Geometry in Secondary Schools by : Pat Herbst
Download or read book The Learning and Teaching of Geometry in Secondary Schools written by Pat Herbst and published by Taylor & Francis. This book was released on 2017-03-16 with total page 240 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 Geometry in Secondary Schools reviews past and present research on the teaching and learning of geometry in secondary schools and proposes an approach for design research on secondary geometry instruction. Areas covered include: teaching and learning secondary geometry through history; the representations of geometric figures; students’ cognition in geometry; teacher knowledge, practice and, beliefs; teaching strategies, instructional improvement, and classroom interventions; research designs and problems for secondary geometry. Drawing on a team of international authors, this new text will be essential reading for experienced teachers of mathematics, graduate students, curriculum developers, researchers, and all those interested in exploring students’ study of geometry in secondary schools.
Book Synopsis Teaching Secondary and Middle School Mathematics by : Daniel J. Brahier
Download or read book Teaching Secondary and Middle School Mathematics written by Daniel J. Brahier and published by Routledge. This book was released on 2016-02-12 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Secondary and Middle School Mathematics combines the latest developments in research, standards, and technology with a vibrant writing style to help teachers prepare for the excitement and challenges of teaching secondary and middle school mathematics today. In the fully revised fifth edition, scholar and mathematics educator Daniel Brahier invites teachers to investigate the nature of the mathematics curriculum and reflect on research-based "best practices" as they define and sharpen their own personal teaching styles. The fifth edition has been updated and expanded with a particular emphasis on the continued impact of the Common Core State Standards for Mathematics and NCTM’s just-released Principles to Actions, as well as increased attention to teaching with technology, classroom management, and differentiated instruction. Features include: A full new Chapter 7 on selection and use of specific tools and technology combined with "Spotlight on Technology" features throughout clearly illustrate the practical aspects of how technology can be used for teaching or professional development. Foundational Chapters 1 and 2 on the practices and principles of mathematics education have been revised to build directly on Common Core State Standards for Mathematics and Principles to Actions, with additional references to both documents throughout all chapters. A new Chapter 4 focuses on the use of standards in writing objectives and organizing lesson plan resources while an updated Chapter 5 details each step of the lesson planning process. A fully revised Chapter 12 provides new information on teaching diverse populations and outlines specific details and suggestions for classroom management for mathematics teachers. Classroom Dialogues" features draws on the author’s 35-year experience as an educator to present real-world teacher-student conversations about specific mathematical problems or ideas "How Would You React?" features prepares future teachers for real-life scenarios by engaging them in common classroom situations and offering tried-and-true solutions. With more than 60 practical, classroom-tested teaching ideas, sample lesson and activities, Teaching Secondary and Middle School Mathematics combines the best of theory and practice to provide clear descriptions of what it takes to be an effective teacher of mathematics.
Book Synopsis Teaching School Mathematics: Pre-Algebra by : Hung-Hsi Wu:
Download or read book Teaching School Mathematics: Pre-Algebra written by Hung-Hsi Wu: and published by American Mathematical Soc.. This book was released on 2016-06-29 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for “negative times negative is positive”. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.
Book Synopsis Algebraic Problems and Exercises for High School (Sets, Sets Operations, Relations, Functions, Aspects of Combinatorics) by : Ion Goian
Download or read book Algebraic Problems and Exercises for High School (Sets, Sets Operations, Relations, Functions, Aspects of Combinatorics) written by Ion Goian and published by Infinite Study. This book was released on 2015-07-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, you will find algebra exercises and problems, grouped by chapters, intended for higher grades in high schools or middle schools of general education. Its purpose is to facilitate training in mathematics for students in all high school categories, but can be equally helpful in a standalone workout. The book can also be used as an extracurricular source, as the reader shall find enclosed important theorems and formulas, standard definitions and notions that are not always included in school textbooks.
Book Synopsis Beyond Formulas in Mathematics and Teaching by : Daniel Chazan
Download or read book Beyond Formulas in Mathematics and Teaching written by Daniel Chazan and published by Teachers College Press. This book was released on 2000-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the author’s experience as a researcher and teacher of lower-track students, Beyond Formulas in Mathematics and Teaching illuminates the complex dynamics of the algebra classroom. From within this setting, Daniel Chazan thoughtfully explores topics that concern all dedicated educators, how to really know one’s students, how to find engaging material, and how to inspire meaningful classroom conversations. Throughout, he addresses the predicaments that are central to the lives of teachers who work in standard educational settings. By highlighting teaching dilemmas, Chazan prompts readers to consider what their own responses would be in similar situations. With an eye to ways of restructuring roles and relationships, Beyond Formulas in Mathematics and Teaching is essential reading for educators seeking to enhance their teaching practices and understanding of students who may be estranged from school.
Book Synopsis Excursions in Geometry by : Charles Stanley Ogilvy
Download or read book Excursions in Geometry written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1990-01-01 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.
Book Synopsis Using Design Research and History to Tackle a Fundamental Problem with School Algebra by : Sinan Kanbir
Download or read book Using Design Research and History to Tackle a Fundamental Problem with School Algebra written by Sinan Kanbir and published by Springer. This book was released on 2017-11-16 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this well-illustrated book the authors, Sinan Kanbir, Ken Clements, and Nerida Ellerton, tackle a persistent, and universal, problem in school mathematics—why do so many middle-school and secondary-school students find it difficult to learn algebra well? What makes the book important are the unique features which comprise the design-research approach that the authors adopted in seeking a solution to the problem. The first unique feature is that the authors offer an overview of the history of school algebra. Despite the fact that algebra has been an important component of secondary-school mathematics for more than three centuries, there has never been a comprehensive historical analysis of factors influencing the teaching and learning of that component. The authors identify, through historical analysis, six purposes of school algebra: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. They also raise the question whether school algebra represents a unidimensional trait. Kanbir, Clements and Ellerton offer an unusual hybrid theoretical framework for their intervention study (by which seventh-grade students significantly improved their elementary algebra knowledge and skills). Their theoretical frame combined Charles Sanders Peirce’s triadic signifier-interpretant-signified theory, which is in the realm of semiotics, with Johann Friedrich Herbart’s theory of apperception, and Ken Clements’ and Gina Del Campo’s theory relating to the need to expand modes of communications in mathematics classrooms so that students engage in receptive and expressive modes. Practicing classroom teachers formed part of the research team. This book appears in Springer’s series on the “History of Mathematics Education.” Not only does it include an important analysis of the history of school algebra, but it also adopts a theoretical frame which relies more on “theories from the past,” than on contemporary theories in the field of mathematics education. The results of the well-designed classroom intervention are sufficiently impressive that the study might havecreated and illuminated a pathway for future researchers to take.
Book Synopsis Mathematics in the Public and Private Secondary Schools of the United States by : International Commission on the Teaching of Mathematics
Download or read book Mathematics in the Public and Private Secondary Schools of the United States written by International Commission on the Teaching of Mathematics and published by . This book was released on 1911 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis First-year Mathematics for Secondary Schools by : George William Myers
Download or read book First-year Mathematics for Secondary Schools written by George William Myers and published by . This book was released on 1909 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:
