Teaching and Learning Patterns in School Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 9400727127
Total Pages : 223 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Teaching and Learning Patterns in School Mathematics by : Ferdinand Rivera

Download or read book Teaching and Learning Patterns in School Mathematics written by Ferdinand Rivera and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book synthesizes research findings on patterns in the last twenty years or so in order to argue for a theory of graded representations in pattern generalization. While research results drawn from investigations conducted with different age-level groups have sufficiently demonstrated varying shifts in structural awareness and competence, which influence the eventual shape of an intended generalization, such shifts, however, are not necessarily permanent due to other pertinent factors such as the complexity of patterning tasks. The book proposes an alternative view of pattern generalization, that is, one that is not about shifts or transition phases but graded depending on individual experiences with target patterns. The theory of graded representations involving pattern generalization offers a much more robust understanding of differences in patterning competence since it is sensitive to varying levels of entry into generalization. Empirical evidence will be provided to demonstrate this alternative view, which is drawn from the author’s longitudinal work with elementary and middle school children, including several investigations conducted with preservice elementary majors. Two chapters of the book will be devoted to extending pattern generalization activity to arithmetic and algebraic learning of concepts and processes. The concluding chapter addresses the pedagogical significance of pattern learning in the school mathematics curriculum. ​

Patterns in Arithmetic

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Publisher : Pattern Press
ISBN 13 : 9780972924863
Total Pages : 334 pages
Book Rating : 4.9/5 (248 download)

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Book Synopsis Patterns in Arithmetic by : Alysia Krafel

Download or read book Patterns in Arithmetic written by Alysia Krafel and published by Pattern Press. This book was released on 2007 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beast Academy Guide 2A

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Publisher :
ISBN 13 : 9781934124307
Total Pages : pages
Book Rating : 4.1/5 (243 download)

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Book Synopsis Beast Academy Guide 2A by : Jason Batterson

Download or read book Beast Academy Guide 2A written by Jason Batterson and published by . This book was released on 2017-09 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Beast Academy Guide 2A and its companion Practice 2A (sold separately) are the first part in the planned four-part series for 2nd grade mathematics. Book 2A includes chapters on place value, comparing, and addition.

Mathematics as a Science of Patterns

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Publisher : Oxford University Press
ISBN 13 : 9780198236085
Total Pages : 300 pages
Book Rating : 4.2/5 (36 download)

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Book Synopsis Mathematics as a Science of Patterns by : Michael D. Resnik

Download or read book Mathematics as a Science of Patterns written by Michael D. Resnik and published by Oxford University Press. This book was released on 1997 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resnik expresses his commitment to a structuralist philosophy of mathematics and links this to a defence of realism about the metaphysics of mathematics - the view that mathematics is about things that really exist.

Patterns in Arithmetic

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Publisher : Pattern Press
ISBN 13 : 9780972924856
Total Pages : 288 pages
Book Rating : 4.9/5 (248 download)

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Book Synopsis Patterns in Arithmetic by : Suki Glenn

Download or read book Patterns in Arithmetic written by Suki Glenn and published by Pattern Press. This book was released on 2005-10 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns in Arithmetic: Book 2 Parent / Teacher Guide and Student Workbook is about how to teach arithmetic using an inquiry method for homeschool and classroom teachers. A child's innate love of learning is encouraged through hands-on exploration, discovery, and the creation of models. The Parent / Teacher Guide is a collection of lessons, games, activities, Black Line Masters, and an answer key to the student workbook. The Student Workbook has worksheets necessary to complete the lessons. Subjects covered are subtraction, multiplication, division, regrouping in addition, patterns, fractions, place value into the thousands, and other general math topics.

Math Warm-Ups

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Publisher : Taylor & Francis
ISBN 13 : 1000501485
Total Pages : 84 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Math Warm-Ups by : Sheri Disbrow

Download or read book Math Warm-Ups written by Sheri Disbrow and published by Taylor & Francis. This book was released on 2021-09-03 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: These success-proven exercises provide daily practice in various areas of math. There are 10 problems per page that reinforce and facilitate conceptual understanding in number sense, math reasoning, computation, time, money, measurement, geometry, probability, graphing, fractions, and decimals. The exercises systematically provide students opportunities to get practice in the most important math objectives each week and provide the teacher with immediate, easy-to-administer feedback on students' mastery. This workbook can be used as a warm-up, homework, or as a diagnostic tool for the teacher, parent, or administrator. The individual pages can be used to diagnose weak areas and provide opportunities to facilitate the students' full understanding of concepts. Students are challenged and consistently exposed to a variety of concepts in all objective areas. Each book spirals in level of difficulty and continues to encourage students to think about math in real-life situations. For math proficiency activities at alternative levels, see Math Warm-Ups Grade 2 and Math Warm-Ups Grade 4. This series meets NCTM standards and builds test-taking proficiency. Grade 3

Using Developmentally Appropriate Practices to Teach the Common Core

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Publisher : Routledge
ISBN 13 : 1317743628
Total Pages : 360 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Using Developmentally Appropriate Practices to Teach the Common Core by : Lisa S. Goldstein

Download or read book Using Developmentally Appropriate Practices to Teach the Common Core written by Lisa S. Goldstein and published by Routledge. This book was released on 2015-07-16 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Developmentally Appropriate Practices to Teach the Common Core: Grades PreK–3 provides current and prospective primary grade teachers with an understanding of the CCSS-ELA and CCSS-M that highlights their compatibility with developmentally appropriate practices (DAP), the instructional approach generally preferred by teachers of young children. The book begins by framing the CCSS as a distinct improvement over lengthy lists of academic content standards and as a carefully conceptualized and DAP-friendly set of curriculum guidelines. Next, the CCSS-ELA and CCSS-M for Grades K–3 are unpacked, analyzed, synthesized, and cross-referenced to key features of DAP. Finally, several "hot topic" issues—differentiating instruction to meet the needs of all learners, ensuring equitable access to the curriculum for English Language Learners, addressing assessment and accountability expectations, and educating parents and families about the CCSS and DAP—are prioritized and examined in depth. Using Developmentally Appropriate Practices to Teach the Common Core: Grades PreK–3 is a highly useful guide for both pre-service and in-service early childhood education teachers.

Beast Academy Practice 3A

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Publisher :
ISBN 13 : 9781934124413
Total Pages : 128 pages
Book Rating : 4.1/5 (244 download)

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Book Synopsis Beast Academy Practice 3A by : Jason Batterson

Download or read book Beast Academy Practice 3A written by Jason Batterson and published by . This book was released on 2012-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beast Academy Practice 3A is aligned to the 2010 Common Core State Standards for 3rd grade mathematics. The book provides over 300 problems ranging from introductory level exercises to very challenging puzzles and word problems on shape classification, skip-counting, and perimeter and area.

Beyond Base Ten

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Publisher : Routledge
ISBN 13 : 1000490726
Total Pages : 120 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Beyond Base Ten by : Dana T. Johnson

Download or read book Beyond Base Ten written by Dana T. Johnson and published by Routledge. This book was released on 2021-09-03 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looking for a way to challenge your gifted students in math class? Look no further! Beyond Base Ten investigates the concept of place value and the representation of numbers by using place value and non-place-value systems. Number bases other than Base Ten are featured, especially through historical contexts of early civilizations that developed number systems different from the one we use today. Place value is a fundamental and powerful concept that is the foundation for the number system used by all cultures. Typical curriculum materials address this concept in a rote method. This unit goes beyond this and encourages students to analyze the structure of our number system and other systems; examine the historical foundations of place value systems (Babylonian and Mayan) and non-place-value systems (Roman and Greek) over thousands of years in different civilizations; analyze why Base Ten is the surviving number system; and investigate applications of other number bases in areas such as computers and electricity. Beyond Base Ten is perfect for any student who loves mathematics! Beyond Base Ten was developed by the Center for Gifted Education at The College of William and Mary. Grades 3-6

Travel Adventures: Carlsbad Caverns: Identifying Arithmetic Patterns

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Author :
Publisher : Teacher Created Materials
ISBN 13 : 1480757985
Total Pages : 35 pages
Book Rating : 4.4/5 (87 download)

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Book Synopsis Travel Adventures: Carlsbad Caverns: Identifying Arithmetic Patterns by : Dona Herweck Rice

Download or read book Travel Adventures: Carlsbad Caverns: Identifying Arithmetic Patterns written by Dona Herweck Rice and published by Teacher Created Materials. This book was released on 2017-06-01 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: Take a fascinating trip into the depths of Carlsbad Caverns and learn arithmetic patterns along the way. This book combines mathematics and literacy skills, and uses practical, real-world examples of problem solving to teach math and language arts content. Students will learn arithmetic patterns while engaged in reading about the various patterns that can be found in the miles of caves in Carlsbad Caverns National Park. The full-color images, math graphs and charts, and practice problems make learning math and language arts concepts easy and fun. The table of contents, glossary, and index will further understanding of math and reading concepts. The Math Talk problems and Explore Math sidebars provide additional learning opportunities while developing students’ higher-order thinking skills.

Pattern Bugs

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Publisher : Millbrook Press
ISBN 13 : 0761384502
Total Pages : 40 pages
Book Rating : 4.7/5 (613 download)

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Book Synopsis Pattern Bugs by : Trudy Harris

Download or read book Pattern Bugs written by Trudy Harris and published by Millbrook Press. This book was released on 2011-08-01 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns are found in math, reading, science, music, art, dance, and poetry—and in the world all around us. They are also found in this delightful book written by educator Trudy Harris. Children will love the humor and predictability of this story, and teachers and parents alike will appreciate the pattern hunt that will send kids back into the book looking for more patterns again and again.

Travel Adventures: Carlsbad Caverns: Identifying Arithmetic Patterns 6-Pack

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Author :
Publisher : Teacher Created Materials
ISBN 13 : 1480758213
Total Pages : 35 pages
Book Rating : 4.4/5 (87 download)

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Book Synopsis Travel Adventures: Carlsbad Caverns: Identifying Arithmetic Patterns 6-Pack by :

Download or read book Travel Adventures: Carlsbad Caverns: Identifying Arithmetic Patterns 6-Pack written by and published by Teacher Created Materials. This book was released on 2017-07-01 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: Help students explore mathematics in a meaningful way with this 6-Pack of math readers that integrates math and literacy skills and combines informational text, problem-solving, and real-world connections. Students will take a close look at patterns found in Carlsbad Caverns National Park and along the way, learn about patterns in arithmetic. Fascinating images of this national park and clear mathematical charts and diagrams help make learning arithmetic patterns simple, engaging, and fun. These high-interest readers include text features such as a glossary, index, bold print, and a table of contents to increase understanding and build academic vocabulary. The extensive Problem Solving section and Let's Explore Math sidebars provide numerous opportunities for students to practice what they have learned. The DOK-leveled Math Talk section facilitates mathematical discourse and higher order thinking skills with questions that students can respond to at school or home. This 6-Pack includes six copies of this title and a lesson plan.

Eureka Math Curriculum Study Guide

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Publisher : John Wiley & Sons
ISBN 13 : 1118811860
Total Pages : 192 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Eureka Math Curriculum Study Guide by : Common Core

Download or read book Eureka Math Curriculum Study Guide written by Common Core and published by John Wiley & Sons. This book was released on 2015-03-23 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication.

Can You Count in Greek?

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Author :
Publisher : Taylor & Francis
ISBN 13 : 1000943690
Total Pages : 66 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Can You Count in Greek? by : Judy Leimbach

Download or read book Can You Count in Greek? written by Judy Leimbach and published by Taylor & Francis. This book was released on 2023-05-31 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discovering the way people in ancient cultures conducted their lives is fascinating for young people, and learning how these people counted and calculated is a part of understanding these cultures. This book offers a concise, but thorough, introduction to ancient number systems. Students won't just learn to count like the ancient Greeks; they'll learn about the number systems of the Mayans, Babylonians, Egyptians, and Romans, as well as learning Hindu-Arabic cultures and quinary and binary systems. Symbols and rules regarding the use of the symbols in each number system are introduced and demonstrated with examples. Activity pages provide problems for the students to apply their understanding of each system. Can You Count in Greek? is a great resource for math, as well as a supplement for social studies units on ancient civilizations. This valuable resource builds understanding of place value, number theory, and reasoning. It includes everything you need to easily incorporate these units in math or social studies classes. Whether you use all of the units or a select few, your students will gain a better understanding and appreciation of our number system. Grades 5-8

Eureka Math Grade 4 Study Guide

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Publisher : John Wiley & Sons
ISBN 13 : 1118812948
Total Pages : 193 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis Eureka Math Grade 4 Study Guide by : Great Minds

Download or read book Eureka Math Grade 4 Study Guide written by Great Minds and published by John Wiley & Sons. This book was released on 2015-11-09 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 4 provides an overview of all of the Grade 4 modules, including Place Value, Rounding, and Algorithms for Addition and Subtraction; Unit Conversions and Problem Solving with Metric Measurement; Multi-Digit Multiplication and Division; Angle Measure and Plane Figures; Fraction Equivalence, Ordering, and Operations; Decimal Fractions; and Exploring Measurement with Multiplication.

Primarily Math

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Publisher : Taylor & Francis
ISBN 13 : 1000948900
Total Pages : 127 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Primarily Math by : Sharon Eckert

Download or read book Primarily Math written by Sharon Eckert and published by Taylor & Francis. This book was released on 2023-04-28 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is important that schools emphasize a problem-solving approach to mathematics beginning in the early years and continuing through high school. Students should learn to value the process of solving problems, as well as getting the correct solutions. The strategies in this book will help students reason, develop their problem-solving strategies, grow in their ability to communicate mathematically, and develop confidence in their mathematical abilities. Five different problem-solving strategies are carefully taught using teacher-directed interactive introductory lessons. A series of practice problems follow the introductory lessons for each strategy. The strategies include: using a manipulative or acting out a problem, drawing a picture or diagram, extending a repeating pattern, making a table or list, and choosing relevant information. Each strategy is first introduced through several carefully presented problems that include introductory group lessons and instructional notes for the teachers. Additionally, the last section of the book presents a variety of problems that give students the opportunity to apply the problem-solving strategies they have learned. This is the perfect supplement to any primary math program, as well as an excellent resource for a math center. All problems are delightfully illustrated and reproducible. Grades 2-4

Counting Crocodiles

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Publisher : Houghton Mifflin Harcourt
ISBN 13 : 9780152163563
Total Pages : 44 pages
Book Rating : 4.1/5 (635 download)

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Book Synopsis Counting Crocodiles by : Judy Sierra

Download or read book Counting Crocodiles written by Judy Sierra and published by Houghton Mifflin Harcourt. This book was released on 2001 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this rhymed retelling of a traditional Asian tale, a clever monkey uses her ability to count to outwit the hungry crocodiles that stand between her and a banana tree on another island across the sea.