Unpacking Fractions

Unpacking Fractions

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  • Author: Monica Neagoy
  • Publisher: ASCD
  • ISBN: 1416621253
  • Category : Education
  • Languages : en
  • Pages : 301

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 Unpacking Fractions Download

  • Author: Monica Neagoy
  • Publisher: ASCD
  • ISBN: 1416621237
  • Category : Education
  • Languages : en
  • Pages : 301

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

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  • Author: Eric Magnus Wilmot
  • Publisher:
  • ISBN:
  • Category : Academic achievement
  • Languages : en
  • Pages : 486


Digital Technical Journal

Digital Technical Journal

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  • Author:
  • Publisher:
  • ISBN:
  • Category : DEC computers
  • Languages : en
  • Pages : 454


Fractions in Disguise

Fractions in Disguise

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  • Author: Edward Einhorn
  • Publisher: Charlesbridge
  • ISBN: 1607347288
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 32

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

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  • Author: Karen D. Tollefson
  • Publisher: AuthorHouse
  • ISBN: 1477264329
  • Category : Mathematics
  • Languages : en
  • Pages : 90

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.


Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12

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  • Author: Peter Liljedahl
  • Publisher: Corwin Press
  • ISBN: 1544374844
  • Category : Education
  • Languages : en
  • Pages : 454

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.


Exploring Fractions, Grades 6 - 12

Exploring Fractions, Grades 6 - 12

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  • Author: Karise Mace
  • Publisher: Mark Twain Media
  • ISBN: 1580374476
  • Category : Juvenile Nonfiction
  • Languages : en
  • Pages : 99

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.


Fraction Action

Fraction Action

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

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.


Learning to Love Math

Learning to Love Math

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  • Author: Judy Willis
  • Publisher: ASCD
  • ISBN: 1416612289
  • Category : Education
  • Languages : en
  • Pages : 270

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!