Teaching Mathematics With Classroom Voting

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Teaching Mathematics with Classroom Voting

Author : Kelly Slater Cline
Publisher : MAA
ISBN 13 : 1614443017
Total Pages : 185 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Teaching Mathematics with Classroom Voting by : Kelly Slater Cline

Download or read book Teaching Mathematics with Classroom Voting written by Kelly Slater Cline and published by MAA. This book was released on 2011 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are you looking for new ways to engage your students? Classroom voting can be a powerful way to enliven your classroom, by requiring all students to consider a question, discuss it with their peers, and vote on the answer during class. When used in the right way, students engage more deeply with the material, and have fun in the process, while you get valuable feedback when you see how they voted. But what are the best strategies to integrate voting into your lesson plans? How do you teach the full curriculum while including these voting events? How do you find the right questions for your students? This collection includes papers from faculty at institutions across the country, teaching a broad range of courses with classroom voting, including college algebra, precalculus, calculus, statistics, linear algebra, differential equations, and beyond. These faculty share their experiences and explain how they have used classroom voting to engage students, to provoke discussions, and to improve how they teach mathematics. This volume should be of interest to anyone who wants to begin using classroom voting as well as people who are already using it but would like to know what others are doing. While the authors are primarily college-level faculty, many of the papers could also be of interest to high school mathematics teachers. --Publisher description.

Teaching Mathematics with Classroom Voting

Author : Cline/Zullo
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Teaching Mathematics with Classroom Voting by : Cline/Zullo

Download or read book Teaching Mathematics with Classroom Voting written by Cline/Zullo and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematics of Elections and Voting

Author : W.D. Wallis
Publisher : Springer
ISBN 13 : 3319098101
Total Pages : 103 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis The Mathematics of Elections and Voting by : W.D. Wallis

Download or read book The Mathematics of Elections and Voting written by W.D. Wallis and published by Springer. This book was released on 2014-10-08 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees. In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life. Few books have studied voting and elections from a more formal mathematical viewpoint. This text will be useful to those who teach lower level courses or special topics courses and aims to inspire students to understand the more advanced mathematics of the topic. The exercises in this text are ideal for upper undergraduate and early graduate students, as well as those with a keen interest in the mathematics behind voting and elections.

The Mathematics of Voting and Apportionment

Author : Sherif El-Helaly
Publisher : Springer
ISBN 13 : 3030147681
Total Pages : 264 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Mathematics of Voting and Apportionment by : Sherif El-Helaly

Download or read book The Mathematics of Voting and Apportionment written by Sherif El-Helaly and published by Springer. This book was released on 2019-05-21 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains a rigorous exposition of the mathematical foundations of two of the most important topics in politics and economics: voting and apportionment, at the level of upper undergraduate and beginning graduate students. It stands out among comparable books by providing, in one volume, an extensive and mathematically rigorous treatment of these two topics. The text’s three chapters cover social choice, yes-no voting, and apportionment, respectively, and can be covered in any order, allowing teachers ample flexibility. Each chapter begins with an elementary introduction and several examples to motivate the concepts and to gradually lead to more advanced material. Landmark theorems are presented with detailed and streamlined proofs; those requiring more complex proofs, such as Arrow’s theorems on dictatorship, Gibbard’s theorem on oligarchy, and Gärdenfors’ theorem on manipulation, are broken down into propositions and lemmas in order to make them easier to grasp. Simple and intuitive notations are emphasized over non-standard, overly complicated symbols. Additionally, each chapter ends with exercises that vary from computational to “prove or disprove” types. The Mathematics of Voting and Apportionment will be particularly well-suited for a course in the mathematics of voting and apportionment for upper-level undergraduate and beginning graduate students in economics, political science, or philosophy, or for an elective course for math majors. In addition, this book will be a suitable read for to any curious mathematician looking for an exposition to these unpublicized mathematical applications. No political science prerequisites are needed. Mathematical prerequisites (included in the book) are minimal: elementary concepts in combinatorics, graph theory, order relations, and the harmonic and geometric means. What is needed most is the level of maturity that enables the student to think logically, derive results from axioms and hypotheses, and intuitively grasp logical notions such as “contrapositive” and “counterexample.”

Teaching Mathematics in the Visible Learning Classroom, Grades 6-8

Author : John Almarode
Publisher : Corwin Press
ISBN 13 : 154433317X
Total Pages : 154 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Teaching Mathematics in the Visible Learning Classroom, Grades 6-8 by : John Almarode

Download or read book Teaching Mathematics in the Visible Learning Classroom, Grades 6-8 written by John Almarode and published by Corwin Press. This book was released on 2018-10-10 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Select the right task, at the right time, for the right phase of learning It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students′ learning—what’s going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of middle school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you’ll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don’t, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It’s not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Teaching Mathematics in the Visible Learning Classroom, Grades 3-5

Author : John Almarode
Publisher : Corwin Press
ISBN 13 : 1544333250
Total Pages : 281 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Teaching Mathematics in the Visible Learning Classroom, Grades 3-5 by : John Almarode

Download or read book Teaching Mathematics in the Visible Learning Classroom, Grades 3-5 written by John Almarode and published by Corwin Press. This book was released on 2019-02-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do you generate that lightbulb “aha” moment of understanding for your students? This book helps to answer that question by showing Visible Learning strategies in action in high-impact mathematics classrooms. Walk in the shoes of teachers as they engage in the countless micro-decisions required to balance strategies, tasks, and assessments, demonstrating that it’s not only what works, but when. A decision-making matrix and grade-leveled examples help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.

Key Ideas in Teaching Mathematics

Author : Anne Watson
Publisher : Oxford University Press, USA
ISBN 13 : 0199665516
Total Pages : 270 pages
Book Rating : 4.1/5 (996 download)

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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.

Towards a Socially Just Mathematics Curriculum

Author : Tony Cotton
Publisher : Taylor & Francis
ISBN 13 : 1040023215
Total Pages : 154 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Towards a Socially Just Mathematics Curriculum by : Tony Cotton

Download or read book Towards a Socially Just Mathematics Curriculum written by Tony Cotton and published by Taylor & Francis. This book was released on 2024-06-03 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from many years of shared experiences in mathematics teaching and teacher education, the authors of Towards a Socially Just Mathematics Curriculum offer a pedagogical model that incorporates and introduces learners to new cultures, challenges stereotypes, uses mathematics to discuss and act for social justice, and develops a well-rounded and socially just pedagogy. Readers will be encouraged to reflect on their own teaching practice and to identify areas for development, creating a more inclusive and equal mathematics experience for all learners. Split into three distinct parts and filled with practical applications for the classroom, this essential book explores: Translating theory into practice by engaging in education for social justice; Applying this theory to teaching and learning across the Early Years, primary education and secondary education; and Reflecting on professional practice and identifying ways forward to continue providing an inclusive and equitable mathematics learning experience for all students. This is an essential read for those interested in providing an inclusive, socially just mathematics education for their learners, including teachers, teaching assistants, senior leaders and trainees within primary and secondary schools.

Mathematics for Social Justice: Resources for the College Classroom

Author : Gizem Karaali
Publisher : American Mathematical Soc.
ISBN 13 : 1470449269
Total Pages : 277 pages
Book Rating : 4.4/5 (74 download)

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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 277 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.

Calculus

Author : Deborah Hughes-Hallett
Publisher : Wiley
ISBN 13 : 9780471164432
Total Pages : 0 pages
Book Rating : 4.1/5 (644 download)

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Book Synopsis Calculus by : Deborah Hughes-Hallett

Download or read book Calculus written by Deborah Hughes-Hallett and published by Wiley. This book was released on 1997-10-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revision of the best selling innovative Calculus text on the market. Functions are presented graphically, numerically, algebraically, and verbally to give readers the benefit of alternate interpretations. The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics. Revised edition features new sections on limits and continuity, limits, l'Hopital's Rule, and relative growth rates, and hyperbolic functions.

Visible Thinking in the K–8 Mathematics Classroom

Author : Ted H. Hull
Publisher : Corwin Press
ISBN 13 : 1452269408
Total Pages : 185 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Visible Thinking in the K–8 Mathematics Classroom by : Ted H. Hull

Download or read book Visible Thinking in the K–8 Mathematics Classroom written by Ted H. Hull and published by Corwin Press. This book was released on 2011-01-21 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a crucial tool for meeting NCTM mathematical content and process standards. Through the useful problems and strategies presented within, teachers will definitely know how well their students will comprehend. If comprehension is an issue in your class, this book is a must have!" —Therese Gessler Rodammer, Math Coach Thomas W. Dixon Elementary School, Staunton, VA Seeing is believing with this interactive approach to math instruction Do you ever wish your students could read each other′s thoughts? Now they can—and so can you! Veteran mathematics educators Ted Hull, Don Balka, and Ruth Harbin Miles explain why making students′ thought processes visible is the key to effective mathematics instruction. Their newest book contains numerous grade-specific sample problems and instructional strategies for teaching essential concepts such as number sense, fractions, and estimation. Among the many benefits of visible thinking are: Interactive student-to-student learning Increased class participation Development of metacognitive thinking and problem-solving skills Helpful features include vignettes, relevant word problems, classroom scenarios, sample problems, lesson adaptations, and easy-to-follow examples of each strategy in action. The authors also explain how students can demonstrate their thinking using calculators and online tools. The final chapter outlines steps math leaders can take to implement visible thinking and maximize mathematics comprehension for all students.

Strategies for Teaching Mathematics

Author : Deborah V. Mink
Publisher : Shell Education
ISBN 13 : 1425893228
Total Pages : 322 pages
Book Rating : 4.4/5 (258 download)

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Book Synopsis Strategies for Teaching Mathematics by : Deborah V. Mink

Download or read book Strategies for Teaching Mathematics written by Deborah V. Mink and published by Shell Education. This book was released on 2009-07-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enhance mathematics instruction and build students' understanding of mathematical concepts with this practical, research-based resource. Choose from a wide range of easy-to-implement strategies that enhance mathematics instruction, including developing students' mathematical vocabulary and problem-solving abilities, assessing students' mathematics thinking, and using manipulatives. Highlights include tips on planning instruction and managing the mathematics classroom, plus differentiation strategies for each lesson. This resource is correlated to College and Career Readiness and other state standards.

How I Wish I'd Taught Maths

Author : Craig Barton
Publisher :
ISBN 13 : 9781943920587
Total Pages : 451 pages
Book Rating : 4.9/5 (25 download)

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Book Synopsis How I Wish I'd Taught Maths by : Craig Barton

Download or read book How I Wish I'd Taught Maths written by Craig Barton and published by . This book was released on 2018 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brought to an American audience for the first time, How I Wish I'd Taught Maths is the story of an experienced and successful math teacher's journey into the world of research, and how it has entirely transformed his classroom.

An Introduction to the Math of Voting Methods

Author : Brendan W Sullivan
Publisher :
ISBN 13 : 9781958469033
Total Pages : 0 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis An Introduction to the Math of Voting Methods by : Brendan W Sullivan

Download or read book An Introduction to the Math of Voting Methods written by Brendan W Sullivan and published by . This book was released on 2022-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some modern political discussions are focused on electoral reform and the mechanics of democracy. For instance, Maine and Alaska recently adopted new procedures for statewide elections that involve Ranked Choice Voting, while a similar ballot measure in Massachusetts was only narrowly defeated. Meanwhile, countries all over the world use other voting methods with runoffs or scores. It's important for people to be aware of how different voting methods work in practice so that we can have productive debates about which to use in various situations. Accordingly, this book will teach you about a variety of voting methods through concrete examples and clear explanations. Each chapter illustrates a different type of voting method using basic definitions, real-world examples, a list of pros and cons, and detailed practice problems with solutions. No prior mathematical or political knowledge is assumed. In fact, the prose is designed for a wide audience, making this book ideal for a general education mathematics course or anyone else who is curious to learn about different methods of voting.

High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice

Author : Robert Q. Berry III
Publisher : Corwin Press
ISBN 13 : 1071806467
Total Pages : 328 pages
Book Rating : 4.0/5 (718 download)

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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.

Learning Trajectories for Teachers

Author : Paola Sztajn
Publisher : Teachers College Press
ISBN 13 : 0807761443
Total Pages : 177 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Learning Trajectories for Teachers by : Paola Sztajn

Download or read book Learning Trajectories for Teachers written by Paola Sztajn and published by Teachers College Press. This book was released on 2019-06-07 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed to strengthen the teaching of mathematics in the elementary grades, this book focuses on helping teachers engage in instruction based on learning trajectories (LTs). Renowned scholars, including professional development researcher Hilda Borko, examine four exemplary projects with details on professional development design, teacher learning, and project implementation. Contributors include Hilda Borko, Douglas H. Clements, Susan B. Empson, Victoria R. Jacobs, and Julie Sarama. “This is an amazingly important and valuable resource for mathematics teachers and leaders at any level. It provides the background and understandings so critical for teachers and teacher leaders to regularly consider and use learning trajectories to inform teacher planning and instruction.” —Dr. Francis (Skip) Fennell, professor emeritus, McDaniel College, and past president of the Association of Mathematics Teacher Educators and the National Council of Teachers of Mathematics “This is the first book that I’ve come across that unpacks what it means to have a framework for student learning at the center of one’s instruction.” —Mary Kay Stein, University of Pittsburgh School of Education “I find this book useful for mathematics educators interested in framing learning trajectories across several domains—including tasks, discourse, curriculum, learners’ understanding, and assessment—to support professional development. Learning trajectories help us make connections among the domains and deepens professional knowledge and understanding.” —Robert Q. Berry III, University of Virginia, and president of the National Council of Teachers of Mathematics

Windows on Teaching Math

Author : Katherine Klippert Merseth
Publisher : Teachers College Press
ISBN 13 : 0807742791
Total Pages : 61 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Windows on Teaching Math by : Katherine Klippert Merseth

Download or read book Windows on Teaching Math written by Katherine Klippert Merseth and published by Teachers College Press. This book was released on 2003-01-01 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cases, while always interesting to read, are more effective when discussed under the guidance of a skillful leader. Because many educators are new to the case method of instruction, particularly in the subject area of secondary mathematics, this facilitator's guide is an essential companion to Windows on Teaching Math: Cases of Middle and Secondary Classrooms. In this guide, Katherine Merseth provides specific teaching notes that correspond to each case, helping educators to successfully use Windows on Teaching Math in a teacher education course or professional development workshop.