Making Sense Of Word Problems

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Making Sense Of Word Problems

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Author : Eric de Corte
language : en
Publisher: CRC Press
Release Date : 2000-01-01

Making Sense Of Word Problems written by Eric de Corte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Education categories.

Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.

Making Sense Of Math

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Author : Cathy L. Seeley
language : en
Publisher: ASCD
Release Date : 2016-04-05

Making Sense Of Math written by Cathy L. Seeley and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-05 with Education categories.

In Making Sense of Math, Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: * Making sense of math by fostering habits of mind that help students analyze, understand, and adapt to problems when they encounter them. * Addressing the mathematical building blocks necessary to include in effective math instruction. * Turning teaching “upside down” by shifting how we teach, focusing on discussion and analysis as much as we focus on correct answers. * Garnering support for the changes you want to make from colleagues and administrators. Learn how to make math meaningful for your students and prepare them for a lifetime of mathematical fluency and problem solving.

Word Problems From Literature

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Author : Denise Gaskins
language : en
Publisher:
Release Date : 2017-05-30

Word Problems From Literature written by Denise Gaskins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-30 with categories.

You can prevent math anxiety by giving your children the mental tools they need to conquer story problems. Young children expect to look at a word problem and instantly see the answer. But as they get older, their textbook math problems also grow in difficulty, so this solution-by-intuitive-leap becomes impossible. Too often the frustrated child concludes, "I'm just not good at math." But with practice, any student can learn to master word problems. Word Problems from Literature features math puzzles for elementary and middle school students from classic books such as Mr. Popper's Penguins and The Hobbit. Denise Gaskins demonstrates step by step how to use the problem-solving tool of bar model diagrams, a type of pictorial algebra. For children who are used to playing with Legos or other blocks-or with computer games like Minecraft-this approach reveals the underlying structure of a math word problem. Students can make sense of how each quantity in the story relates to the others and see a path to the solution. And when you're done with the puzzles in this book, Denise shows you how to create your own word problems from literature, based in your children's favorite story worlds. Prepare your child for mathematical success. Order your copy of Word Problems from Literature today. * * * If you're using these word problems with your children, check out the companion Word Problems from Literature Student Workbook. * * * Word Problems from Literature is part of the Playful Math Singles series from Tabletop Academy Press. These short, topical books feature clear explanations and ready-to-play activities.

Mathematize It Grades K 2

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Author : Kimberly Morrow-Leong
language : en
Publisher: Corwin Press
Release Date : 2020-04-23

Mathematize It Grades K 2 written by Kimberly Morrow-Leong and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-23 with Education categories.

"This book is a must-have for anyone who has faced the challenge of teaching problem solving. The ideas to be learned are supported with a noticeably rich collection of classroom-ready problems, examples of student thinking, and videos. Problem solving is at the center of learning and doing mathematics. And so, Mathematize It! should be at the center of every teacher’s collection of instructional resources." John SanGiovanni Coordinator, Elementary Mathematics Howard County Public School System, Ellicott City, MD Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades K-2 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades K-2 · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for addition and subtraction of whole numbers as well as early thinking for multiplication and division · Demonstrates the use of concrete manipulatives to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Ready For Word Problems And Problem Solving

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Author : Rebecca Wingard-Nelson
language : en
Publisher: Enslow Publishing, LLC
Release Date : 2014-01-01

Ready For Word Problems And Problem Solving written by Rebecca Wingard-Nelson and has been published by Enslow Publishing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with Juvenile Nonfiction categories.

This book explains the steps needed to solve word problems. It begins with problem-solving steps and tips, and then guides readers through the information they need to solve the problem. It covers topics such as looking for patterns and drawing a picture. The reader also learns about logical thinking, and how to work backwards to solve the problem.

Mathematize It Grades 6 8

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Author : Kimberly Morrow-Leong
language : en
Publisher: Corwin Press
Release Date : 2020-08-21

Mathematize It Grades 6 8 written by Kimberly Morrow-Leong and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-21 with Education categories.

Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6–8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 6–8: · Offers a systematic mathematizing process for students to use when solving word problems · Gives practice opportunities and dozens of problems to leverage in the classroom · Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers · Demonstrates the use of visual representations to model problems with dozens of short videos · Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Becoming The Math Teacher You Wish You D Had

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Author : Tracy Johnston Zager
language : en
Publisher: Taylor & Francis
Release Date : 2023-10-10

Becoming The Math Teacher You Wish You D Had written by Tracy Johnston Zager and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-10 with Education categories.

Ask mathematicians to describe mathematics and they' ll use words like playful, beautiful, and creative. Pose the same question to students and many will use words like boring, useless, and even humiliating. Becoming the Math Teacher You Wish You' d Had, author Tracy Zager helps teachers close this gap by making math class more like mathematics. Zager has spent years working with highly skilled math teachers in a diverse range of settings and grades and has compiled those' ideas from these vibrant classrooms into' this game-changing book. Inside you' ll find: ' How to Teach Student-Centered Mathematics:' Zager outlines a problem-solving approach to mathematics for elementary and middle school educators looking for new ways to inspire student learning Big Ideas, Practical Application:' This math book contains dozens of practical and accessible teaching techniques that focus on fundamental math concepts, including strategies that simulate connection of big ideas; rich tasks that encourage students to wonder, generalize, hypothesize, and persevere; and routines to teach students how to collaborate Key Topics for Elementary and Middle School Teachers:' Becoming the Math Teacher You Wish You' d Had' offers fresh perspectives on common challenges, from formative assessment to classroom management for elementary and middle school teachers No matter what level of math class you teach, Zager will coach you along chapter by chapter. All teachers can move towards increasingly authentic and delightful mathematics teaching and learning. This important book helps develop instructional techniques that will make the math classes we teach so much better than the math classes we took.

Mathematize It Grades 3 5

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Author : Sara Delano Moore
language : en
Publisher: Corwin Press
Release Date : 2019-09-04

Mathematize It Grades 3 5 written by Sara Delano Moore and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-04 with Education categories.

"The list of math books to truly synthesize what we know so far and what we need to know is a very short and exclusive list. Well, you can confidently add Mathematize It to this collection. Written by three of the most respected math educators today, the book zeros in on that often poorly traveled journey between the question and answer in problem solving. Mathematize It will be your go-to resource to install the mathematical play revolution in elementary classes everywhere!" Suni Singh Author of Pi of Life: the Hidden Happiness of Mathematics and Math Recess: Playful Learning in an Age of Disruption Help students reveal the math behind the words "I don’t get what I’m supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, which without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 3-5 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method—and specific instructional strategies—to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers’ own operation sense, this user-friendly resource for Grades 3–5 • Offers a systematic mathematizing process for students to use when solving word problems • Gives practice opportunities and dozens of problems to leverage in the classroom • Provides specific examples of questions and explorations for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals • Demonstrates the use of concrete manipulatives to model problems with dozens of short videos • Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!

Word Problems Student Workbook

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Author : Denise Gaskins
language : en
Publisher:
Release Date : 2023-03-14

Word Problems Student Workbook written by Denise Gaskins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-14 with categories.

You know how to solve math problems. Like a detective, you sift each clue until you solve the mystery. But what can you do when you come across a real stumper? Well, here's one way to make sense of textbook word problems: turn them into a block puzzle. Denise Gaskins demonstrates how to use the problem-solving tool of bar model diagrams. These block-like drawings are actually a type of algebra that reveals the underlying structure of a math word problem and helps you see a path to the solution. If you can build with Legos or play Minecraft, you can solve math puzzles. Try your detective skills on story problems inspired by several classic books and movies, from Mr. Popper's Penguins to The Lord of the Rings. Then make up new puzzles of your own, using your favorite story worlds. * * * For answers and worked-out solutions, see the companion book Word Problems from Literature: An Introduction to Bar Model Diagrams.

Word Problems Using Multiplication And Division

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Author : Zella Williams
language : en
Publisher: Enslow Publishing, LLC
Release Date : 2016-12-15

Word Problems Using Multiplication And Division written by Zella Williams and has been published by Enslow Publishing, LLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-15 with Juvenile Nonfiction categories.

This book makes multiplication and division word problems fun using facts about big trucks and cars. The tips section takes the mystery out of word problems, making them accessible to even reluctant mathematicians. Sample problems highlight the clue words that word problems use to help students solve them. The vibrant photos and highly approachable text will encourage readers to think differently about word problems, and readers will close the book feeling new confidence in their abilities to solve word problems using multiplication and division.