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Making Sense of Mathematics for Teaching Grades 6 8

Making Sense of Mathematics for Teaching Grades 6 8 Author Edward C. Nolan
ISBN-10 9781942496465
Release 2016-04-13
Pages 176
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Develop a deep understanding of mathematics. This user-friendly resource presents grades 6–8 teachers with a logical progression of pedagogical actions, classroom norms, and collaborative teacher team efforts to increase their knowledge and improve mathematics instruction. Make connections between elementary fraction-based content to fraction operations taught in the middle grades. Explore strategies and techniques to effectively learn and teach significant mathematics concepts and provide all students with the precise, accurate information they need to achieve academic success. Benefits Dig deep into mathematical modeling and reasoning to improve as both a learner and teacher of mathematics. Explore how to develop, select, and modify mathematics tasks in order to balance cognitive demand and engage students. Discover the three important norms to uphold in all mathematics classrooms. Learn to apply the tasks, questioning, and evidence (TQE) process to grow as both learners and teachers of mathematics. Gain clarity about the most productive progression of mathematical teaching and learning for grades 6–8. Access short videos that show what classrooms that are developing mathematical understanding should look like. Contents Introduction 1 Fraction Operations and Integer Concepts and Operations 2 Ratios and Proportional Relationships 3 Equations, Expressions, and Inequalities 4 Functions 5 Measurement and Geometry 6 Statistics and Probability Epilogue: Next Steps References and Resources Index



Making Sense of Mathematics for Teaching High School

Making Sense of Mathematics for Teaching High School Author Edward C. Nolan
ISBN-10 9781942496496
Release 2016-05-19
Pages 192
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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



Making Sense of Mathematics for Teaching the Small Group

Making Sense of Mathematics for Teaching the Small Group Author Juli K. Dixon
ISBN-10 194760404X
Release 2019
Pages 120
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When done right, small-group instruction is a powerful tool for facilitating student understanding in K-5 mathematics. Throughout the book, best practices for small-group math instruction are addressed in detail, from planning tasks that encourage deep understanding to asking effective questions to engaging learners in meaningful conversations. Readers will learn how teaching mathematics in small groups allows you to differentiate instruction for both remediation and enrichment. The included small-group instruction videos demonstrate the suggested strategies in a real-classroom setting, giving readers the opportunity to see best practice in action. Develop math-specific instruction strategies for teaching small groups in elementary school: Explore the benefits of small-group math activities and how these activities are unique compared to large-group instruction. Discover the teacher's and students' roles in small-group instruction and how teachers can help students develop the skills to fulfill their role. Learn how to apply the general tasks, questions, and evidence (TQE) process to small-group instruction in order to enhance student learning and improve your knowledge of teaching mathematics. View examples of small-group instruction, which provide both math intervention and math enrichment activities for different students. Contents: Acknowledgments Table of Contents About the Authors Introduction Chapter 1: Best Practices in Small-Group Instruction Chapter 2: The TQE Process in Small-Group Instruction Chapter 3: Discourse in Small-Group Instruction Chapter 4: How to Tie It All Together References Index



Making Sense of Mathematics for Teaching Grades 3 5

Making Sense of Mathematics for Teaching Grades 3 5 Author Juli K. Dixon
ISBN-10 9781942496434
Release 2016-04-11
Pages 200
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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



Making Sense of Mathematics for Teaching Grades K 2

Making Sense of Mathematics for Teaching  Grades K 2 Author Juli K Dixon
ISBN-10 1942496419
Release 2016-09-19
Pages
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This video program will help educators develop a deeper understanding of mathematics and more effectively provide mathematics instruction in grades K 2. Watch it as a standalone video or use it with the facilitator s guide to create two half-day workshops or one full-day workshop for teams. Included is the companion paperback book, Making Sense of Mathematics for Teaching Grades K 2. This short yet comprehensive video provides K 2 teachers with: High-quality footage demonstrating classroom mathematics instruction When students have an opportunity to address concepts before procedures, they have an opportunity to ask questions, to engage in processes, and to really dig into the mathematics in ways that make sense to them. This video program will help educators develop a deeper understanding of mathematics and more effectively provide mathematics instruction in grades K 2. Watch it as a standalone video, or use it with the facilitator s guide to create two half-day workshops or one full-day workshop for teaching teams. Included is the companion paperback book, Making Sense of Mathematics for Teaching Grades K 2. Learn targeted and appropriate questioning strategies to support all learners. This short yet comprehensive video provides K 2 teachers with: High-quality footage demonstrating classroom mathematics instruction In-depth exploration of what best practices in mathematics instruction looks like at the appropriate grade level The foundation to connect prior knowledge to new learning A facilitator s guide with tailored activities and strategies to reinforce participants knowledge of mathematics A CD with an electronic facilitator s guide for ease of use Contents Welcome and Opening Collaborating in Planning: Making Sense of Two-Digit Numbers Using the TQE Process: Using Strategies to Solve a Word Problem Creating a Shared Image of Classroom Instruction: Exploring Number Pairs for Ten Questioning to Facilitate Learning: Using Strategies to Add Preparing for the Mathematics to Come: Describing and Comparing Shapes Closing In-depth exploration of what best practices in mathematics instruction looks like at the appropriate grade level The foundation to connect prior knowledge to new learning A facilitator s guide with tailored activities and strategies to reinforce participants knowledge A CD with an electronic facilitator s guide for ease of use "



Adding It Up

Adding It Up Author National Research Council
ISBN-10 0309132843
Release 2001-11-13
Pages 480
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Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning: Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.



Teaching in the Fast Lane

Teaching in the Fast Lane Author Suzy Pepper Rollins
ISBN-10 9781416623410
Release 2017-04-06
Pages 130
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Teaching in the Fast Lane offers teachers a way to increase student engagement: an active classroom. The active classroom is about creating learning experiences differently, so that students engage in exploration of the content and take on a good share of the responsibility for their own learning. It’s about students reaching explicit targets in different ways, which can result in increased student effort and a higher quality of work. Author Suzy Pepper Rollins details how to design, manage, and maintain an active classroom that balances autonomy and structure. She offers student-centered, practical strategies on sorting, station teaching, and cooperative learning that will help teachers build on students’ intellectual curiosity, self-efficacy, and sense of purpose. Using the strategies in this book, teachers can strategically “let go” in ways that enable students to reach their learning targets, achieve more, be motivated to work, learn to collaborate, and experience a real sense of accomplishment.



Mathematical Mindsets

Mathematical Mindsets Author Jo Boaler
ISBN-10 9781118418277
Release 2015-10-12
Pages 320
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Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.



Crossing the River With Dogs

Crossing the River With Dogs Author Ken Johnson
ISBN-10 1931914141
Release 2004
Pages 490
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Students who often complain when faced with challenging word problems will be engaged as they acquire essential problem solving skills that are applicable beyond the math classroom. The authors of Crossing the River with Dogs: Problem Solving for College Students: - Use the popular approach of explaining strategies through dialogs from fictitious students- Present all the classic and numerous non-traditional problem solving strategies (from drawing diagrams to matrix logic, and finite differences) - Provide a text suitable for students in quantitative reasoning, developmental mathematics, mathematics education, and all courses in between - Challenge students with interesting, yet concise problem sets that include classic problems at the end of each chapter With Crossing the River with Dogs, students will enjoy reading their text and will take with them skills they will use for a lifetime



GAIMME

GAIMME Author Solomon A. Garfunkel
ISBN-10 1611974445
Release 2016
Pages 216
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GAIMME has been writing in one form or another for most of life. You can find so many inspiration from GAIMME also informative, and entertaining. Click DOWNLOAD or Read Online button to get full GAIMME book for free.



Teaching Mathematics at Secondary Level

Teaching Mathematics at Secondary Level Author Tony Gardiner
ISBN-10 9781783741403
Release 2016-02-08
Pages 334
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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.



Your Mathematics Standards Companion High School

Your Mathematics Standards Companion  High School Author Frederick L. Dillon
ISBN-10 9781544317434
Release 2018-01-30
Pages 536
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Transforming the standards into learning outcomes just got a lot easier This expansion of the popular Common Core Mathematics Companions provides a Cross-Referencing Index for states implementing their own specific mathematics standards. This index allows you to see in an instant which of your standards are the same as CCSS-M, which differ and how—and which page number to turn to for standards-based teaching ideas. Beyond that? It’s the same great go-to guide for guide for teaching, planning, assessing, collaborating, and designing powerful high school mathematics curriculum, in any state or district.



Teaching to the Math Common Core State Standards

Teaching to the Math Common Core State Standards Author F. D. Rivera
ISBN-10 9789462099623
Release 2015-06-17
Pages 224
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This is a methods book for preservice middle level majors and beginning middle school teachers. It takes a very practical approach to learning to teach middle school mathematics in an emerging Age of the Common Core State Standards. The Common Core State Standards in Mathematics (CCSSM) is not meant to be “the” official mathematics curriculum; it was purposefully developed primarily to provide clear learning expectations of mathematics content that are appropriate at every grade level and to help prepare all students to be ready for college and the workplace. A quick glance at the Table of Contents in this book indicates a serious engagement with the recommended mathematics underlying the Grade 5 through Grade 8 and (traditional pathway) Algebra I portions of the CCSSM first, with issues in content-practice assessment, learning, teaching, and classroom management pursued next and in that order. In this book we explore what it means to teach to the CCSSM within an alignment mindset involving content-practice learning, teaching, and assessment. The Common Core state content standards, which pertain to mathematical knowledge, skills, and applications, have been carefully crafted so that they are teachable, learnable, coherent, fewer, clearer, and higher. The practice standards, which refer to institutionally valued mathematical actions, processes, and habits, have been conceptualized in ways that will hopefully encourage all middle school students to engage with the content standards more deeply than merely acquiring mathematical knowledge by rote and imitation. Thus, in the CCSSM, proficiency in content alone is not sufficient, and so does practice without content, which is limited. Content and practice are both equally important and, thus, must come together in teaching, learning, and assessment in order to support authentic mathematical understanding. This blended multisourced text is a “getting smart” book. It prepares preservice middle level majors and beginning middle school teachers to work within the realities of accountable pedagogy and to develop a proactive disposition that is capable of supporting all middle school students in order for them to experience growth in mathematical understanding that is necessary for high school and beyond, including future careers.



Mathematics Learning in Early Childhood

Mathematics Learning in Early Childhood Author National Research Council
ISBN-10 0309147433
Release 2009-11-13
Pages 398
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Early childhood mathematics is vitally important for young children's present and future educational success. Research demonstrates that virtually all young children have the capability to learn and become competent in mathematics. Furthermore, young children enjoy their early informal experiences with mathematics. Unfortunately, many children's potential in mathematics is not fully realized, especially those children who are economically disadvantaged. This is due, in part, to a lack of opportunities to learn mathematics in early childhood settings or through everyday experiences in the home and in their communities. Improvements in early childhood mathematics education can provide young children with the foundation for school success. Relying on a comprehensive review of the research, Mathematics Learning in Early Childhood lays out the critical areas that should be the focus of young children's early mathematics education, explores the extent to which they are currently being incorporated in early childhood settings, and identifies the changes needed to improve the quality of mathematics experiences for young children. This book serves as a call to action to improve the state of early childhood mathematics. It will be especially useful for policy makers and practitioners-those who work directly with children and their families in shaping the policies that affect the education of young children.



Mathematics for Elementary School Teachers

Mathematics for Elementary School Teachers Author Ricardo Fierro
ISBN-10 9780538493635
Release 2012-02-06
Pages 976
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Mathematics for Elementary School Teachers is designed to give you a profound understanding of the mathematical content that you are expected to know and be able to teach. The chapters integrate the National Council of Teachers of Mathematics (NCTM) Standards and Expectations and the new Common Core State Standards, as well as research literature. The five NCTM Process Standards of problem solving, reasoning and proof, communication, connections, and representation highlight ways that teachers present content, the ways that students learn content, and various ways that students can demonstrate procedural and conceptual understanding. The worked examples and homework questions provide prospective elementary school teachers with opportunities to develop mathematical knowledge, understanding, and skills that they can apply in their own classrooms effectively. The learning path begins with the Where Are We Going? Chapter Openers, worked Examples with Yellow Markers that indicate the Process Standards throughout the text, to the Concept Maps, to the Section Question Sets with their refreshers of Process Standards, to the Chapter Organizers with Learning Outcomes and a list of the corresponding Review Questions, and finally, conclude at the Chapter Tests with their overarching Learning Outcomes. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.



Rethinking Mathematics

Rethinking Mathematics Author Eric Gutstein
ISBN-10 9780942961546
Release 2005-01-01
Pages 179
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A collection of more than thirty articles shows teachers how to weave social justice principles throughout the math curriculum, and how to integrate social justice math into other curricular areas as well.



Cliffsnotes FTCE Elementary Education K 6

Cliffsnotes FTCE Elementary Education K 6 Author Enrique Ortiz
ISBN-10 9780544313538
Release 2015-02-24
Pages 360
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This 2nd Edition of CliffsNotes FTCE Elementary Education K-6 test prep captures the recent changes to this Florida teacher certification test that would-be elementary school teachers must pass in order to be teacher-certified in Florida.