Unpacking Fractions

Unpacking Fractions PDF Author: Monica Neagoy
Publisher: ASCD
ISBN: 1416621253
Category : Education
Languages : en
Pages : 301

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Book Description
For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

Unpacking Fractions

Unpacking Fractions PDF Author: Monica Neagoy
Publisher: ASCD
ISBN: 1416621253
Category : Education
Languages : en
Pages : 301

Get Book

Book Description
For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions: Fractions play a key role in students' feelings about mathematics. Fractions are fundamental to school math and daily life. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

Unpacking Fractions

Unpacking Fractions PDF Author: Monica Neagoy
Publisher: ASCD
ISBN: 1416621237
Category : Education
Languages : en
Pages : 301

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Book Description
For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding. Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore. She offers three fundamental reasons why it’s imperative for us to take a closer look at how we teach fractions: 1. Fractions play a key role in students’ feelings about mathematics. 2. Fractions are fundamental to school math and daily life. 3. Fractions are foundational to success in algebra. While a solid grounding in algebra is necessary for a STEM career, the worthy goal of “algebra for all” will not be possible until “fractions for all” is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

An Investigation Into the Profile of Ghanaian High School Mathematics Teachers' Knowledge for Teaching Algebra and Its Relationahip with Student Performance

An Investigation Into the Profile of Ghanaian High School Mathematics Teachers' Knowledge for Teaching Algebra and Its Relationahip with Student Performance PDF Author: Eric Magnus Wilmot
Publisher:
ISBN:
Category : Academic achievement
Languages : en
Pages : 486

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Book Description


Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8

Figuring Out Fluency in Mathematics Teaching and Learning, Grades K-8 PDF Author: Jennifer M. Bay-Williams
Publisher: Corwin
ISBN: 1071818430
Category : Education
Languages : en
Pages : 265

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Book Description
Because fluency practice is not a worksheet. Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. Real fluency involves reasoning and creativity, and it varies by the situation at hand. Figuring Out Fluency in Mathematics Teaching and Learning offers educators the inspiration to develop a deeper understanding of procedural fluency, along with a plethora of pragmatic tools for shifting classrooms toward a fluency approach. In a friendly and accessible style, this hands-on guide empowers educators to support students in acquiring the repertoire of reasoning strategies necessary to becoming versatile and nimble mathematical thinkers. It includes: "Seven Significant Strategies" to teach to students as they work toward procedural fluency. Activities, fluency routines, and games that encourage learning the efficiency, flexibility, and accuracy essential to real fluency. Reflection questions, connections to mathematical standards, and techniques for assessing all components of fluency. Suggestions for engaging families in understanding and supporting fluency. Fluency is more than a toolbox of strategies to choose from; it’s also a matter of equity and access for all learners. Give your students the knowledge and power to become confident mathematical thinkers.

Fractions in Disguise

Fractions in Disguise PDF Author: Edward Einhorn
Publisher: Charlesbridge
ISBN: 1607347288
Category : Juvenile Nonfiction
Languages : en
Pages : 32

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Book Description
Crack the case with George Cornelius Factor in this entertaining math adventure that introduces simplified and reduced fractions with equal parts intrigue and humor. When a valuable fraction goes missing, George Cornelius Factor (a.k.a. GCF) vows to track it down. Knowing that the villainous Dr. Brok likes to disguise his ill-gotten fractions, GCF invents a Reducer—half ray gun, half calculator— that strips away the disguise, reducing the fraction to its lowest common denominator and revealing its true form. With the Reducer in hand, George seeks out Dr. Brok in hopes of retrieving the missing fraction. Back matter includes more detail on simplifying, or reducing, fractions.

One-Handed Fractions

One-Handed Fractions PDF Author: Karen D. Tollefson
Publisher: AuthorHouse
ISBN: 1477264329
Category : Mathematics
Languages : en
Pages : 90

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Book Description
This book guides the older student or adult who is returning to school for a degree, further training, or GED through a review of fractions. Even if you hated fractions, this method will make sense to you and will make doing fractions a breeze.

Number Talks

Number Talks PDF Author: Sherry Parrish
Publisher: Math Solutions Publications
ISBN: 9781935099758
Category : Education
Languages : en
Pages : 0

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Book Description
"This resource was created in response to the requests of teachers--those who want to implement number talks but are unsure of how to begin, and those with experience who want more guidance in crafting purposeful problems."--Page 4 de la couverture.

Fraction Action

Fraction Action PDF Author: Lisa Arias
Publisher: Carson-Dellosa Publishing
ISBN: 1627179445
Category : Juvenile Nonfiction
Languages : en
Pages : 32

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Book Description
Take action in understanding all about fractions in this rhyming text with sample questions, picture representations, and easy to follow instructions. Students will learn about the different types of fractions and how to add and subtract them! This book will allow students to develop understanding of fractions as numbers.

Exploring Fractions, Grades 6 - 12

Exploring Fractions, Grades 6 - 12 PDF Author: Karise Mace
Publisher: Mark Twain Media
ISBN: 1580374476
Category : Juvenile Nonfiction
Languages : en
Pages : 99

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Book Description
Five units cover fractional concepts from the basics through fraction and mixed number operations. Three-part lessons include: teacher-guided exploration, independent practice, and opportunities to apply new concepts. Includes notes, suggestions, and a standards matrix. Supports NCTM standards.

Fractions - Beginning

Fractions - Beginning PDF Author: Sally Fisk
Publisher: Lorenz Educational Press
ISBN: 0787700746
Category : Mathematics
Languages : en
Pages : 52

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Book Description
This workbook provides a carefully structured, developmental approach to the study of fractions. It is designed to provide practice for the primary-age child which is compatible with classroom instruction. The pages are presented in a suggested order, but may be used in any order which best meets the child's needs. Parents who wish their children to have practice in mathematics skills will find the book as helpful as classroom teachers will find it. The exercises are presented so that a child can work with a minimum of supervision. Answers are included in a four-page leaflet in the middle of the book, which can be easily removed.