Making Sense Of Mathematics For Teaching High School

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Making Sense of Mathematics for Teaching High School

Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu
Making Sense of Mathematics for Teaching High School Book PDF

Author : Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu
Publisher : Solution Tree Press
Page : 273 pages
File Size : 44,6 Mb
Release : 2016-05-19
Category : Education
ISBN : 9781942496496

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Making Sense of Mathematics for Teaching High School by Edward C. Nolan,Juli K. Dixon,Farhsid Safi,Erhan Selcuk Haciomeroglu Pdf

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, Grades 3-5

Juli K. Dixon,Edward C. Nolan
Making Sense of Mathematics for Teaching Grades 3 5 Book PDF

Author : Juli K. Dixon,Edward C. Nolan
Publisher : Solution Tree Press
Page : 386 pages
File Size : 43,8 Mb
Release : 2016-04-11
Category : Education
ISBN : 9781942496434

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Making Sense of Mathematics for Teaching, Grades 3-5 by Juli K. Dixon,Edward C. Nolan Pdf

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

Juli K. Dixon,Edward C. Nolan
Making Sense of Mathematics for Teaching Grades K 2 Book PDF

Author : Juli K. Dixon,Edward C. Nolan
Publisher : Solution Tree Press
Page : 218 pages
File Size : 55,8 Mb
Release : 2016-04-11
Category : Education
ISBN : 9781942496403

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Making Sense of Mathematics for Teaching Grades K-2 by Juli K. Dixon,Edward C. Nolan Pdf

Develop a deep understanding of mathematics. This user-friendly resource presents grades K–2 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. Clarify math essentials with figures and tables that facilitate understanding through visualization. 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 Number Concepts and Place Value 2 Word Problem Structures 3 Addition and Subtraction Using Counting Strategies 4 Addition and Subtraction Using Grouping Strategies 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 6-8

Edward C. Nolan,Juli K. Dixon
Making Sense of Mathematics for Teaching Grades 6 8 Book PDF

Author : Edward C. Nolan,Juli K. Dixon
Publisher : Unknown
Page : 0 pages
File Size : 52,5 Mb
Release : 2016-10-17
Category : Mathematics
ISBN : 1942496478

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Making Sense of Mathematics for Teaching Grades 6-8 by Edward C. Nolan,Juli K. Dixon Pdf

"With Making sense of mathematics for teaching grades 6-8, participants have the opportunity to engage in mathematics as learners. This unscripted video program addresses three specific goals: (1) to explore meaningful tasks as learners of mathematics for teaching, (2) to make sense of the TQE process (tasks, questioning, and evidence), and (3) to create a shared vision of classrooms where teachers are supporting the TQE process and students are engaged in meaningful mathematics learning experiences. The program accomplishes these goals through the use of challenging tasks for teachers, effective questions related to classroom content, and classroom video showing tasks modeled during instruction."--Container

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

Robert Q. Berry III,Basil M. Conway IV,Brian R. Lawler,John W. Staley
High School Mathematics Lessons to Explore Understand and Respond to Social Injustice Book PDF

Author : Robert Q. Berry III,Basil M. Conway IV,Brian R. Lawler,John W. Staley
Publisher : Corwin Press
Page : 328 pages
File Size : 55,8 Mb
Release : 2020-03-09
Category : Education
ISBN : 9781071806463

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High School Mathematics Lessons to Explore, Understand, and Respond to Social Injustice by Robert Q. Berry III,Basil M. Conway IV,Brian R. Lawler,John W. Staley Pdf

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.

Focus in High School Mathematics

Marilyn E. Strutchens
Focus in High School Mathematics Book PDF

Author : Marilyn E. Strutchens
Publisher : Unknown
Page : 119 pages
File Size : 45,9 Mb
Release : 2011
Category : Curriculum planning
ISBN : 0873536800

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Focus in High School Mathematics by Marilyn E. Strutchens Pdf

No matter what the mathematics class, infusing reasoning and sense making into the daily mathematical experience of all high school students is crucial. ""All high school students"" includes low-performing students; gifted students; students of different racial, sociolinguistic and socioeconomic status; students with disabilites and students who are mathematically talented. The writers of this volume hope to further the dialogue about how to create for all students empowering mathematical experiences that incorporate reasoning and sense making.

Learning to Love Math

Judy Willis
Learning to Love Math Book PDF

Author : Judy Willis
Publisher : ASCD
Page : 270 pages
File Size : 43,8 Mb
Release : 2010-09-09
Category : Education
ISBN : 9781416612285

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Learning to Love Math by Judy Willis Pdf

Is there a way to get students to love math? Dr. Judy Willis responds with an emphatic yes in this informative guide to getting better results in math class. Tapping into abundant research on how the brain works, Willis presents a practical approach for how we can improve academic results by demonstrating certain behaviors and teaching students in a way that minimizes negativity. With a straightforward and accessible style, Willis shares the knowledge and experience she has gained through her dual careers as a math teacher and a neurologist. In addition to learning basic brain anatomy and function, readers will learn how to * Improve deep-seated negative attitudes toward math. * Plan lessons with the goal of "achievable challenge" in mind. * Reduce mistake anxiety with techniques such as errorless math and estimation. * Teach to different individual learning strengths and skill levels. * Spark motivation. * Relate math to students' personal interests and goals. * Support students in setting short-term and long-term goals. * Convince students that they can change their intelligence. With dozens of strategies teachers can use right now, Learning to Love Math puts the power of research directly into the hands of educators. A Brain Owner's Manual, which dives deeper into the structure and function of the brain, is also included—providing a clear explanation of how memories are formed and how skills are learned. With informed teachers guiding them, students will discover that they can build a better brain . . . and learn to love math!

Making Sense of Mathematics for Teaching to Inform Instructional Quality

Melissa Boston,Amber G. Candela,Juli K. Dixon
Making Sense of Mathematics for Teaching to Inform Instructional Quality Book PDF

Author : Melissa Boston,Amber G. Candela,Juli K. Dixon
Publisher : Unknown
Page : 176 pages
File Size : 54,7 Mb
Release : 2019
Category : Mathematics
ISBN : 1947604104

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Making Sense of Mathematics for Teaching to Inform Instructional Quality by Melissa Boston,Amber G. Candela,Juli K. Dixon Pdf

This book provides teaching strategies and rubrics for improving instructional strategies for teaching mathematics at any grade level. Includes videos of effective math strategies in action and tools to bring TQE process into the classroom.

Visible Learning for Mathematics, Grades K-12

John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Visible Learning for Mathematics Grades K 12 Book PDF

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 45,7 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

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Visible Learning for Mathematics, Grades K-12 by John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman Pdf

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.

Concept-Based Mathematics

Jennifer T.H. Wathall
Concept Based Mathematics Book PDF

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
Page : 307 pages
File Size : 54,8 Mb
Release : 2016-01-14
Category : Education
ISBN : 9781506332659

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Concept-Based Mathematics by Jennifer T.H. Wathall Pdf

Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant

Rethinking Mathematics

Eric Gutstein,Bob Peterson
Rethinking Mathematics Book PDF

Author : Eric Gutstein,Bob Peterson
Publisher : Rethinking Schools
Page : 192 pages
File Size : 45,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9780942961546

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Rethinking Mathematics by Eric Gutstein,Bob Peterson Pdf

In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.

Principles to Actions

National Council of Teachers of Mathematics
Principles to Actions Book PDF

Author : National Council of Teachers of Mathematics
Publisher : National Council of Teachers of Mathematics, Incorporated
Page : 139 pages
File Size : 53,7 Mb
Release : 2014-02
Category : Curriculum planning
ISBN : 0873537742

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Principles to Actions by National Council of Teachers of Mathematics Pdf

This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.

Five Practices for Orchestrating Productive Mathematics Discussions

Margaret Schwan Smith,Mary Kay Stein
Five Practices for Orchestrating Productive Mathematics Discussions Book PDF

Author : Margaret Schwan Smith,Mary Kay Stein
Publisher : Unknown
Page : 104 pages
File Size : 41,5 Mb
Release : 2011
Category : Communication in mathematics
ISBN : 1483351114

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Five Practices for Orchestrating Productive Mathematics Discussions by Margaret Schwan Smith,Mary Kay Stein Pdf

Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

Mathematical Mindsets

Jo Boaler
Mathematical Mindsets Book PDF

Author : Jo Boaler
Publisher : John Wiley & Sons
Page : 311 pages
File Size : 51,6 Mb
Release : 2015-10-12
Category : Education
ISBN : 9781118418277

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Mathematical Mindsets by Jo Boaler Pdf

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.

Teaching Mathematics at Secondary Level

Tony Gardiner
Teaching Mathematics at Secondary Level Book PDF

Author : Tony Gardiner
Publisher : Open Book Publishers
Page : 334 pages
File Size : 45,6 Mb
Release : 2016-02-08
Category : Mathematics
ISBN : 9781783741403

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Teaching Mathematics at Secondary Level by Tony Gardiner Pdf

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.