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Number Sense Fractions The Meaning Of Fractions


Number Sense Fractions The Meaning Of Fractions
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Number Sense Fractions The Meaning Of Fractions


Number Sense Fractions The Meaning Of Fractions
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Author : Contemporary
language : en
Publisher: McGraw-Hill Education
Release Date : 2003-04-08

Number Sense Fractions The Meaning Of Fractions written by Contemporary and has been published by McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-08 with Mathematics categories.


Contemporary's popular Number Sense mathematics series has been updated! Number Sense encourages students to explore number relationships to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications. Each text uses a highly visual and active approach to introduce basic mathematics concepts. Each lesson is carefully designed to simultaneously build students' mastery and self-confidence. Each text illustrates a basic math skill with a step-by-step approach, and follows with lots of practice.



Fraction Multiplication And Division


Fraction Multiplication And Division
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Author : Allan D. Suter
language : en
Publisher: Contemporary Books
Release Date : 1990-04-01

Fraction Multiplication And Division written by Allan D. Suter and has been published by Contemporary Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-01 with Fractions categories.




Fraction Addition Subtraction


Fraction Addition Subtraction
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Author : Allan D. Suter
language : en
Publisher: Contemporary Books
Release Date : 1990-04

Fraction Addition Subtraction written by Allan D. Suter and has been published by Contemporary Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04 with Mathematics categories.


A highly visual and active approach to introduce basic math concepts. Short simple lessons carefully designed to simultaneously build students' mastery and self-confidence while encouraging students to explore number relationships and to build a concrete understanding of mathematical operations, problem-solving, strategies, and real-life applications.



Unpacking Fractions


Unpacking Fractions
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Author : Monica Neagoy
language : en
Publisher: ASCD
Release Date : 2017-03-10

Unpacking Fractions written by Monica Neagoy and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-10 with Education categories.


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.



Number Sense


Number Sense
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Author : McGraw-Hill
language : en
Publisher: Contemporary Books
Release Date : 2003-03-17

Number Sense written by McGraw-Hill and has been published by Contemporary Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-17 with Mathematics categories.


Contemporary's popular Number Sense mathematics series has been updated! Number Sense encourages students to explore number relationships to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications.



Number Sense Fractions Addition Subtraction


Number Sense Fractions Addition Subtraction
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Author : Contemporary
language : en
Publisher: McGraw-Hill Education
Release Date : 2003-04-08

Number Sense Fractions Addition Subtraction written by Contemporary and has been published by McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-08 with Mathematics categories.


Contemporary's popular Number Sense mathematics series has been updated! Number Sense encourages students to explore number relationships to build a concrete understanding of mathematical operations, problem-solving strategies, and real-life applications. Each text uses a highly visual and active approach to introduce basic mathematics concepts. Each lesson is carefully designed to simultaneously build students' mastery and self-confidence. Each text illustrates a basic math skill with a step-by-step approach, and follows with lots of practice.



Children S Quantitative Sense Of Fractions


Children S Quantitative Sense Of Fractions
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Author : Peter John Gould
language : en
Publisher:
Release Date : 2008

Children S Quantitative Sense Of Fractions written by Peter John Gould and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Fractions categories.


Learning the meaning of common fractions and how to operate with them is a traditionally difficult aspect of learning mathematics. The symbol system used to represent fractions, one whole number written above another whole number, is not transparent to the meaning of fractions. This difficulty of interpreting fractions contributes to traditional practice in teaching fractions emphasising the syntax of fractions over their semantics. Without a sense of the size of fractions students must rely solely on learning the fraction syntax, as there is no feasible way of checking the reasonableness of an answer. -- To investigate how well students had developed a sense of the size of fractions, a large cross-section of students from Years 4-8 (over 300 students in each grade) completed 37 tasks designed to draw upon a quantitative sense of fractions. The students' answers provided data for both a conceptual analysis and a related Rasch item analysis. The conceptual analysis found that although some studnets have a strong sense of the size of fractions, many students have developed pseudo fraction concepts. Rather than seeing fractions as relational numbers, more than 10% of the students responded as if fractions corresponded to a count of the number of parts in fraction representation. Questions involving the fraction notation increased the variety of incorrect interpretations of fractions. The Rasch analysis confirmed that the items related to the same trait and provided an ordering of the difficulty of the questions. The Rasch item map provided backing for a description of how students develop a sense of the size of fractions. -- The current methods of developing students' understanding of fractions have resulted in a large number of pseudo concepts being formed. The basis of making meaning from models used to introduce fractions, needs to be the focus of teaching fractions. As well as using counter-example to limit the number of unintended features of models students associate with fractions, comparison of length rather than area should be used to introduce fractions.



Contemporary S Number Sense Fractions


Contemporary S Number Sense Fractions
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Author : Allan D. Suter
language : en
Publisher:
Release Date : 1990

Contemporary S Number Sense Fractions written by Allan D. Suter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.




The Meaning Of Fractions


The Meaning Of Fractions
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Author : Allan D. Suter
language : en
Publisher: Contemporary Books
Release Date : 1990-04-01

The Meaning Of Fractions written by Allan D. Suter and has been published by Contemporary Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04-01 with Mathematics categories.




Making Sense Of Fractions


Making Sense Of Fractions
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Author : Randy Palisoc
language : en
Publisher: CreateSpace
Release Date : 2014-08-06

Making Sense Of Fractions written by Randy Palisoc and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-06 with categories.


Frustrated with fractions? They're easier than you think. Fractions have been given a bad rap. Understanding fractions is essential in math, yet too many students struggle to make sense of them. Even if students have performed well in math early in elementary school, they seem to hit a brick wall when it comes the "abstract" concepts involved with fractions. This is how Making Sense of Fractions helps. This unit challenges the long-held assumption that fractions are difficult because they're abstract. Fractions are actually more concrete and more logical than most people realize. Making Sense of Fractions helps students make these realizations, and it has a different philosophy from past approaches. This unit explains fractions in a more concrete way that makes logical sense to students (and to adults), making fractions easier to learn than before. Essential concepts include: * Simplifying Fractions * Adding Fractions * Subtracting Fractions * Multiplying Fractions * Dividing Fractions * Improper Fractions and Mixed Numbers * GCF (Greatest Common Factor) and LCM (Lowest Common Multiple)