Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5

Developing Essential Understanding of Geometry and Measurement for Teaching Mathematics in Grades 3-5

Author: Richard Lehrer

Publisher:

Published: 2014-06

Total Pages: 91

ISBN-13: 9780873536691

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How can you introduce terms from geometry and measurement so that your students’ vocabulary will enhance their understanding of concepts and definitions? What can you say to clarify the thinking of a student who claims that perimeter is always an even number? How does knowing what changes or stays the same when shapes are transformed help you support and extend your students’ understanding of shapes and the space that they occupy? How much do you know … and how much do you need to know? Helping your students develop a robust understanding of geometry and measurement requires that you understand fundamental statistical concepts deeply. But what does that mean? This book focuses on essential knowledge for mathematics teachers about geometry and measurement. It is organized around three big ideas, supported by multiple smaller, interconnected ideas—essential understandings. Taking you beyond a simple introduction to geometry and measurement, the book will broaden and deepen your understanding of one of the most challenging topics for students—and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls, and dispel misconceptions. You will also learn to develop appropriate tasks, techniques, and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.


Eureka Math, A Story of Units: Grade 3, Module 7

Eureka Math, A Story of Units: Grade 3, Module 7

Author: Great Minds

Publisher: Jossey-Bass

Published: 2014-04-21

Total Pages: 0

ISBN-13: 9781118811474

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Common Core Eureka Math for Grade 3, Module 7 Created by teachers, for teachers, the research-based curriculum in this series presents a comprehensive, coherent sequence of thematic units for teaching the skills outlined in the CCSS for Mathematics. With four-color illustrations, complete lesson plans, reproducible student worksheets, and assessments, this resource is uniquely designed to support teachers in developing content-rich, integrated learning experiences that adhere to established standards and encourage student engagement. Developed by Common Core, a non-profit advocacy group dedicated to producing content-rich liberal arts curricula for America's K-12 schools, Common Core Mathematics is the most comprehensive CCSS-based mathematics curriculum available today. The modules are sequenced and paced to support the teaching of mathematics as an unfolding story that follows the logic of mathematics itself. They embody the instructional "shifts" and the standards for mathematical practice demanded by the CCSS. Each module contains a sequence of lessons that combine conceptual understanding, fluency, and application to meet the demands of each topic in the module. Formative assessments are included to support data-driven instruction. The modules are written by teams of master teachers and mathematicians. This Module addresses Geometry and Measurement Word Problems. Common Core Learning Standards Addressed in Grade 3, Module 7: 3.MD.4, 3.MD.8, 3.G.1


Grade 4 Geometry & Measurement

Grade 4 Geometry & Measurement

Author: Kumon Publishing

Publisher: Kumon Math Workbooks

Published: 2009-06

Total Pages: 0

ISBN-13: 9781934968673

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Geometry & Measurement Workbooks introduce important foundational math concepts gradually, which allows children to feel confident and eager to learn more. Our fun and colorful activities inspire a love of math.


Open Middle Math

Open Middle Math

Author: Robert Kaplinsky

Publisher: Taylor & Francis

Published: 2023-10-10

Total Pages: 193

ISBN-13: 1003839886

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This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.


Intro to Geometry (Grades 6-8)

Intro to Geometry (Grades 6-8)

Author: Kumon

Publisher: Kumon Publishing North America

Published: 2018-06

Total Pages: 0

ISBN-13: 9781941082706

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Kumon Middle School Math workbooks provide an introduction to math subjects with explanations of topics, definitions of terms, and practice problems designed to improve your childs math skills. Using Kumons step-by-step method your child will advance through algebra and geometry concepts without feeling frustrated or overwhelmed when faced with new problems. These workbooks will help your child develop confidence in his or her math abilities.


Grade 2 Geometry and Measurement

Grade 2 Geometry and Measurement

Author: Kumon Publishing

Publisher: Kumon Math Workbooks

Published: 2009-06

Total Pages: 0

ISBN-13: 9781934968314

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Geometry & Measurement Workbooks introduce important foundational math concepts gradually, which allows children to feel confident and eager to learn more. Our fun and colorful activities inspire a love of math.


Grade 4 Decimals and Fractions

Grade 4 Decimals and Fractions

Author: Kumon Publishing

Publisher: Kumon Math Workbooks

Published: 2008-07

Total Pages: 0

ISBN-13: 9781933241586

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Our Calculation Workbooks follow the Kumon Method, a proven learning system that helps children succeed and excel in math. Kumon Workbooks gradually introduce new topics in a logical progression and always include plenty of practice. As a result, children master one skill at a time and move forward without anxiety or frustration.


Eureka Math Grade 3 Study Guide

Eureka Math Grade 3 Study Guide

Author: Great Minds

Publisher: John Wiley & Sons

Published: 2015-11-09

Total Pages: 176

ISBN-13: 1118813170

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Eureka Math is a comprehensive, content-rich PreK–12 curriculum that follows the focus and coherence of the Common Core State Standards in Mathematics (CCSSM) and carefully sequences the mathematical progressions into expertly crafted instructional modules. The companion Study Guides to Eureka Math gather the key components of the curriculum for each grade into a single location, unpacking the standards in detail so that both users and non-users of Eureka Math can benefit equally from the content presented. Each of the Eureka Math Curriculum Study Guides includes narratives that provide educators with an overview of what students should be learning throughout the year, information on alignment to the instructional shifts and the standards, design of curricular components, approaches to differentiated instruction, and descriptions of mathematical models. The Study Guides can serve as either a self-study professional development resource or as the basis for a deep group study of the standards for a particular grade. For teachers who are new to the classroom or the standards, the Study Guides introduce them not only to Eureka Math but also to the content of the grade level in a way they will find manageable and useful. Teachers familiar with the Eureka Math curriculum will also find this resource valuable as it allows for a meaningful study of the grade level content in a way that highlights the coherence between modules and topics. The Study Guides allow teachers to obtain a firm grasp on what it is that students should master during the year. The Eureka Math Curriculum Study Guide, Grade 3 provides an overview of all of the Grade 3 modules, including Properties of Multiplication and Division and Solving Problems with Units of 2–5 and 10; Place Value and Problem Solving with Units of Measure; Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10; Multiplication and Area; Fractions as Numbers on the Number Line; and Collecting and Displaying Data.


Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5

Uncovering Student Thinking About Mathematics in the Common Core, Grades 3-5

Author: Cheryl Rose Tobey

Publisher: Corwin Press

Published: 2013-11-27

Total Pages: 249

ISBN-13: 1483340201

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Take the guesswork out of grades 3-5 math assessment! Quickly pinpoint and reverse your students’ common math difficulties with this detailed and easy-to-follow resource from best-selling authors Cheryl Tobey and Carolyn Arline. Twenty research-based assessment probes help you ask the right questions to uncover just where your students get confused – while learning is already underway. These CCSM-aligned probes eliminate all guesswork and will help you: Systematically address conceptual and procedural mistakes Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond Master essential CCSM mathematical processes and proficiencies for Grades 3-5