Teaching Mathematics In Secondary And Middle School

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Teaching Secondary and Middle School Mathematics

Author : Daniel J. Brahier
Publisher : Routledge
ISBN 13 : 1317412354
Total Pages : 963 pages
Book Rating : 4.3/5 (174 download)

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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 963 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.

Teaching Mathematics in Secondary and Middle School

Author : James S. Cangelosi
Publisher : Merrill Publishing Company
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Teaching Mathematics in Secondary and Middle School by : James S. Cangelosi

Download or read book Teaching Mathematics in Secondary and Middle School written by James S. Cangelosi and published by Merrill Publishing Company. This book was released on 1992 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Teaching Secondary and Middle School Mathematics

Author : Daniel J. Brahier
Publisher : Allyn & Bacon
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.X/5 (4 download)

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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 Allyn & Bacon. This book was released on 2005 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching Secondary and Middle School Mathematics combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics. Designed for pre-service or in-service teachers, the second edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised, practical resource offers a balance of theory and practice, including a wealth of examples and descriptions of classroom situations to assist students in visualizing mathematics instruction in the classroom. Each chapter contains specific outcomes for the reader, a glossary of relevant terms, several discussion questions and an extensive bibliography that contains references and suggested readings. Appendices include a descriptive list of recommended Internet Web sites on mathematics education and two case studies for further discussion. New To This Edition! A new chapter (Chapter 7) examines four major content areas of the secondary and middle school curriculum--algebra, geometry, data analysis and probability, and discrete mathematics--and the teaching methodology and NCTM Standards specific to each area. A new chapter (Chapter 10) devoted to the topic of equity discusses special needs students, gender equity, and ethnic/cultural differences. "How Would You React?" scenarios have been added in each chapter which allow students (and professors) to explore various teaching and learning issues and ideas for making decisions in a debate setting. "Spotlight on Technology" and examples highlighting major chapter concepts involving the use of technology have been interspersed throughout and encourage students to think about the appropriate use of technology in teaching mathematics. Daniel Brahier is Associate Professor of Mathematics Education at Bowling Green State University in Ohio and a current eighth grade teacher. He is also the author of Assessment in Middle and High School Mathematics: A Teacher's Guide (Eye On Education, 2001). With experience as a teacher, administrator, guidance counselor, and curriculum coordinator, his teaching and writing draws from every angle.

Teaching Secondary Mathematics

Author : Gregory Hine
Publisher : Cambridge University Press
ISBN 13 : 1108983405
Total Pages : 377 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Teaching Secondary Mathematics by : Gregory Hine

Download or read book Teaching Secondary Mathematics written by Gregory Hine and published by Cambridge University Press. This book was released on 2021-09-24 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secondary mathematics teachers working in the Australian education sector are required to plan lessons that engage with students of different genders, cultures and levels of literacy and numeracy. Teaching Secondary Mathematics engages directly with the Australian Curriculum: Mathematics and the Australian Professional Standards for Teachers to help preservice teachers develop lesson plans that resonate with students. This edition has been thoroughly revised and features a new chapter on supporting Aboriginal and Torres Strait Islander students by incorporating Aboriginal and Torres Strait Islander cultures and ways of knowing into lessons. Chapter content is supported by new features including short-answer questions, opportunities for reflection and in-class activities. Further resources, additional activities, and audio and visual recordings of mathematical problems are also available for students on the book's companion website. Teaching Secondary Mathematics is the essential guide for preservice mathematics teachers who want to understand the complex and ever-changing Australian education landscape.

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.

Mathematical Argumentation in Middle School-The What, Why, and How

Author : Jennifer Knudsen
Publisher : Corwin Press
ISBN 13 : 150639423X
Total Pages : 185 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Mathematical Argumentation in Middle School-The What, Why, and How by : Jennifer Knudsen

Download or read book Mathematical Argumentation in Middle School-The What, Why, and How written by Jennifer Knudsen and published by Corwin Press. This book was released on 2017-09-21 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research-based book brings tough Standards for Mathematical Practice 3 standards for mathematical argumentation and critical reasoning alive - all within a thoroughly explained four-part model that covers generating cases, conjecturing, justifying, and concluding.

Teaching Mathematics in the Visible Learning Classroom, High School

Author : John Almarode
Publisher : Corwin Press
ISBN 13 : 1544333129
Total Pages : 278 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Teaching Mathematics in the Visible Learning Classroom, High School by : John Almarode

Download or read book Teaching Mathematics in the Visible Learning Classroom, High School written by John Almarode and published by Corwin Press. This book was released on 2018-08-17 with total page 278 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, Joseph Assof, John Hattie, and Nancy Frey help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of high 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 Secondary and Middle School

Author : James S. Cangelosi
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Teaching Mathematics in Secondary and Middle School by : James S. Cangelosi

Download or read book Teaching Mathematics in Secondary and Middle School written by James S. Cangelosi and published by Prentice Hall. This book was released on 2003 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: For courses in secondary or middle school math. This text focuses on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM standards. It demonstrates how to creatively incorporate the standards into teaching along with inquiry-based instructional strategies. Using one expansive case study that follows a mathematics teacher through his first year in the profession, the text illustrates how to lead pupils toward meaningful mathematics and strategies for developing mathematics skills. Interactive in its approach, the text includes an abundance of illustrative examples, mini case studies, cooperative learning activities, field-based activities, and transitional activities.

Teaching Mathematics at Secondary Level

Author : Tony Gardiner
Publisher : Open Book Publishers
ISBN 13 : 1783741406
Total Pages : 334 pages
Book Rating : 4.7/5 (837 download)

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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 334 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.

Teaching Math in Middle School

Author : Leanne R. Ketterlin-Geller
Publisher :
ISBN 13 : 9781681253466
Total Pages : 310 pages
Book Rating : 4.2/5 (534 download)

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Book Synopsis Teaching Math in Middle School by : Leanne R. Ketterlin-Geller

Download or read book Teaching Math in Middle School written by Leanne R. Ketterlin-Geller and published by . This book was released on 2019 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive guide to designing and delivering high-quality, evidence-based mathematics instruction in middle school. With in-depth coverage of best practices for instruction and assessment within a multi-tiered systems of support (MTSS) framework, this book empowers teachers to build numeracy in students and collaborate effectively to meet all students' needs.

Making Sense of Mathematics for Teaching High School

Author : Edward C. Nolan
Publisher : Solution Tree Press
ISBN 13 : 1942496494
Total Pages : 273 pages
Book Rating : 4.9/5 (424 download)

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Book Synopsis Making Sense of Mathematics for Teaching High School by : Edward C. Nolan

Download or read book Making Sense of Mathematics for Teaching High School written by Edward C. Nolan and published by Solution Tree Press. This book was released on 2016-05-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics by grasping the context and purpose behind various strategies. This user-friendly resource presents high school teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. 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. Combine student understanding of functions and algebraic concepts so that they can better decipher the world. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, or 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 ensure mathematics instruction is focused, coherent, and rigorous. Gain clarity about the most productive progression of mathematical teaching and learning for high school. Watch short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction Equations and Functions Structure of Equations Geometry Types of Functions Function Modeling Statistics and Probability Epilogue: Next Steps Appendix: Weight Loss Study Data References Index

Teaching Secondary and Middle School Mathematics, MyLabSchool Edition

Author : Daniel J. Brahier
Publisher : Allyn & Bacon
ISBN 13 : 9780205462612
Total Pages : 416 pages
Book Rating : 4.4/5 (626 download)

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Book Synopsis Teaching Secondary and Middle School Mathematics, MyLabSchool Edition by : Daniel J. Brahier

Download or read book Teaching Secondary and Middle School Mathematics, MyLabSchool Edition written by Daniel J. Brahier and published by Allyn & Bacon. This book was released on 2004-12-01 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Teaching Secondary and Middle School Mathematics" combines up-to-date technology and research with a vibrant writing style to help teachers grasp curriculum, teaching, and assessment issues as they relate to secondary and middle school mathematics. Designed for pre-service or in-service teachers, the second edition presents concise, current, and meaningful descriptions of what it takes to be an effective teacher of mathematics. This extensively revised, practical resource offers a balance of theory and practice, including a wealth of examples and descriptions of classroom situations to assist students in visualizing mathematics instruction in the classroom. Each chapter contains specific outcomes for the reader, a glossary of relevant terms, several discussion questions and an extensive bibliography that contains references and suggested readings. Appendices include a descriptive list of recommended Internet Web sites on mathematics education and two case studies for further discussion. New To This Edition! A new chapter (Chapter 7) examines four major content areas of the secondary and middle school curriculum--algebra, geometry, data analysis and probability, and discrete mathematics--and the teaching methodology and NCTM Standards specific to each area. A new chapter (Chapter 10) devoted to the topic of equity discusses special needs students, gender equity, and ethnic/cultural differences. "How Would You React?" scenarios have been added in each chapter which allow students (and professors) to explore various teaching and learning issues and ideas for making decisions in a debate setting. "Spotlight on Technology" and examples highlighting major chapter concepts involving the use of technology have been interspersed throughout and encourage students to think about the appropriate use of technology in teaching mathematics. Daniel Brahier is Associate Professor of Mathematics Education at Bowling Green State University in Ohio and a current eighth grade teacher. He is also the author of "Assessment in Middle and High School Mathematics: A Teacher's Guide" (Eye On Education, 2001). With experience as a teacher, administrator, guidance counselor, and curriculum coordinator, his teaching and writing draws from every angle.

Strengths-Based Teaching and Learning in Mathematics

Author : Beth McCord Kobett
Publisher : Corwin
ISBN 13 : 1544374909
Total Pages : 273 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Strengths-Based Teaching and Learning in Mathematics by : Beth McCord Kobett

Download or read book Strengths-Based Teaching and Learning in Mathematics written by Beth McCord Kobett and published by Corwin. This book was released on 2020-02-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a game changer! Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K- 6 goes beyond simply providing information by sharing a pathway for changing practice. . . Focusing on our students’ strengths should be routine and can be lost in the day-to-day teaching demands. A teacher using these approaches can change the trajectory of students’ lives forever. All teachers need this resource! Connie S. Schrock Emporia State University National Council of Supervisors of Mathematics President, 2017-2019 NEW COVID RESOURCES ADDED: A Parent’s Toolkit to Strengths-Based Learning in Math is now available on the book’s companion website to support families engaged in math learning at home. This toolkit provides a variety of home-based activities and games for families to engage in together. Your game plan for unlocking mathematics by focusing on students’ strengths. We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students’ misconceptions. But what if instead of focusing on what students don’t know or haven’t mastered, we identify their mathematical strengths and build next instructional steps on students’ points of power? Beth McCord Kobett and Karen S. Karp answer this question and others by highlighting five key teaching turnarounds for improving students’ mathematics learning: identify teaching strengths, discover and leverage students’ strengths, design instruction from a strengths-based perspective, help students identify their points of power, and promote strengths in the school community and at home. Each chapter provides opportunities to stop and consider current practice, reflect, and transfer practice while also sharing · Downloadable resources, activities, and tools · Examples of student work within Grades K–6 · Real teachers’ notes and reflections for discussion It’s time to turn around our approach to mathematics instruction, end deficit thinking, and nurture each student’s mathematical strengths by emphasizing what makes them each unique and powerful.

Visible Learning for Mathematics, Grades K-12

Author : John Hattie
Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Teaching Math at a Distance, Grades K-12

Author : Theresa Wills
Publisher : Corwin Press
ISBN 13 : 1071837125
Total Pages : 194 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math at a Distance, Grades K-12 by : Theresa Wills

Download or read book Teaching Math at a Distance, Grades K-12 written by Theresa Wills and published by Corwin Press. This book was released on 2020-10-12 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make Rich Math Instruction Come to Life Online In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual worksheets. Using both personal experience and those of teachers in real K-12 online classrooms, distance learning mathematics veteran Theresa Wills translates all we know about research-based, equitable, rigorous face-to-face mathematics instruction into an online venue. This powerful guide equips math teachers to: Build students’ agency, identity, and strong math communities Promote mathematical thinking, collaboration, and discourse Incorporate rich mathematics tasks and assign meaningful homework and practice Facilitate engaging online math instruction using virtual manipulatives and other concrete learning tools Recognize and address equity and inclusion challenges associated with distance learning Assess mathematics learning from a distance With examples across the grades, links to tutorials and templates, and space to reflect and plan, Teaching Math at a Distance offers the support, clarity, and inspiration needed to guide teachers through teaching math remotely without sacrificing deep learning and academic growth.

Mathematics for Secondary School Teachers

Author : Elizabeth G. Bremigan
Publisher : MAA
ISBN 13 : 0883857731
Total Pages : 444 pages
Book Rating : 4.8/5 (838 download)

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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.

Making Sense of Mathematics for Teaching, Grades 3-5

Author : Juli K. Dixon
Publisher : Solution Tree Press
ISBN 13 : 1942496435
Total Pages : 386 pages
Book Rating : 4.9/5 (424 download)

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Book Synopsis Making Sense of Mathematics for Teaching, Grades 3-5 by : Juli K. Dixon

Download or read book Making Sense of Mathematics for Teaching, Grades 3-5 written by Juli K. Dixon and published by Solution Tree Press. This book was released on 2016-04-11 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develop a deep understanding of mathematics. This user-friendly resource presents grades 3–5 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Focus on an understanding of and procedural fluency with multiplication and division. Address how to learn and teach fraction concepts and operations with depth. Thoroughly teach plane and solid geometry. 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 ensure mathematics instruction is focused, coherent, and rigorous. Use charts and diagrams for classifying shapes, which can engage students in important mathematical practices. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Place Value, Addition, and Subtraction 2 Multiplication and Division 3 Fraction Concepts 4 Fraction Operations 5 Geometry 6 Measurement Epilogue Next Steps Appendix A Completed Classification of Triangles Chart Appendix B Completed Diagram for Classifying Quadrilaterals