Using children’s literature to teach problem solving in math : addressing the standards for mathematical practice in K-5

185 Pages·2017·1.01 MB·English

by  White

Using Children’s Literature to
Teach Problem Solving in Math
Learn how children’s literature can help K–5 students see the real- life
applications of mathematical concepts. This user- friendly book shows how
to use stories to engage students in building critical reasoning, abstract
thinking, and communication skills, all while helping students understand
the relevance of math in their everyday lives. Each chapter is dedicated to
one of the eight Standards for Mathematical Practice, and offers examples
of children’s literature that can be used to help students develop that
practice.
You’ll find out how to:
(cid:85) Encourage students to persevere in solving mathematical problems
and use multiple approaches to find the answer;
(cid:85) Help students reason abstractly with the aid of concrete objects and
visuals;
(cid:85) Guide students in constructing arguments to explain their
reasoning and engage in critical discussion with their peers;
(cid:85) Teach students to recognize mathematical patterns and use them to
solve problems efficiently;
(cid:85) And more!
The book offers activities for beginners as well as for more advanced
problem solvers. Each chapter also provides guidance for ELLs and stu-
dents with special needs, so no matter your classroom environment, you’ll
be able to use these strategies to make math class more dynamic, engaging,
and fun.
Jeanne White has been an educator since 1992 when she began teaching
elementary school in the south suburbs of Chicago. She is currently a Pro-
fessor of Education at Elmhurst College.
Other Eye On Education Books,
available from Routledge
(www.routledge.com/eyeoneducation)
Guided Math in Action:
Building Each Student’s Mathematical Proficiency with Small- Group
Instruction
Nicki Newton
Math Workshop in Action:
Strategies for Grades K–5
Nicki Newton
Math Running Records in Action:
A Framework for Assessing Basic Fact Fluency in Grades K–5
Nicki Newton
Creating a Language- Rich Math Class:
Strategies and Activities for Building Conceptual Understanding
Sandra L. Atkins
Performance Tasks and Rubrics for Early Elementary Mathematics,
Second Edition:
Meeting Rigorous Standards and Assessments
Charlotte Danielson and Pia Hansen
Performance Tasks and Rubrics for Upper Elementary Mathematics,
Second Edition:
Meeting Rigorous Standards and Assessments
Charlotte Danielson and Joshua Dragoon
The Mathematics Coaching Handbook, Second Edition:
Working with K–8 Teachers to Improve Instruction
Pia M. Hansen
Math Intervention P–2, Second Edition:
Building Number Power with Formative Assessments, Differentiation,
and Games, Grades PreK–2
Jennifer Taylor- Cox
Math Intervention, 3–5, Second Edition:
Building Number Power with Formative Assessments, Differentiation,
and Games, Grades 3–5
Jennifer Taylor- Cox
Using Children’s
Literature to Teach
Problem Solving
in Math
Addressing the Standards for
Mathematical Practice in K–5
Second Edition
Jeanne White
Second edition published 2017
by Routledge
711 Third Avenue, New York, NY 10017
and by Routledge
2 Park Square, Milton Park, Abingdon, Oxon OX14 4RN
Routledge is an imprint of the Taylor & Francis Group, an informa business
© 2017 Taylor & Francis
The right of Jeanne White to be identified as author of this work has
been asserted by her in accordance with sections 77 and 78 of the
Copyright, Designs and Patents Act 1988.
All rights reserved. No part of this book may be reprinted or
reproduced or utilised in any form or by any electronic, mechanical,
or other means, now known or hereafter invented, including
photocopying and recording, or in any information storage or
retrieval system, without permission in writing from the publishers.
Trademark notice: Product or corporate names may be trademarks or
registered trademarks, and are used only for identification and
explanation without intent to infringe.
First edition published by Routledge 2013
Library of Congress Cataloging in Publication Data
Names: White, Jeanne (Jeanne Marie)
Title: Using children’s literature to teach problem solving in math :
addressing the standards for mathematical practice in K-5 / by
Jeanne White.
Description: New York : Routledge, 2017. | Includes bibliographical
references.
Identifiers: LCCN 2016008696| ISBN 9781138694705 (hardback) |
ISBN 9781138694712 (pbk.) | ISBN 9781315527536 (e-book)
Subjects: LCSH: Mathematics–Study and teaching (Elementary) |
Mathematics–Study and teaching (Elementary)–Standards. |
Language arts (Elementary) | Language arts–Correlation with
content subjects.
Classification: LCC QA135.6 .W479 2017 | DDC 372.7/049–dc23
LC record available at http://lccn.loc.gov/2016008696
ISBN: 978-1-138-69470-5 (hbk)
ISBN: 978-1-138-69471-2 (pbk)
ISBN: 978-1-315-52753-6 (ebk)
Typeset in Palatino
by Wearset Ltd, Boldon, Tyne and Wear
Contents
Acknowledgments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x
About the Author . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xi
Introduction: Addressing the Standards for Mathematical
Practice in K–5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Breaking Down the Practice Standards. . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
Creating a Problem Solving Community . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1 Make Sense and Persevere: SMP 1—Make Sense of Problems
and Persevere in Solving Them . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Seven Blind Mice by Ed Young
K.OA Decompose numbers into pairs. . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
MATH- terpieces: The Art of Problem Solving by Greg Tang
1.OA Use two and three addends to find a sum. . . . . . . . . . . . . . . . . . . 11
Splash! by Ann Jonas
2.OA Represent addition and subtraction problems . . . . . . . . . . . . . . . 14
What Does This Standard Mean for Grades 3–5 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
The Warlord’s Kites by Virginia Walton Pilegard
3.MD Use the formula for the area of a rectangle. . . . . . . . . . . . . . . . . . 16
A Remainder of One by Elinor J. Pinczes
4.OA Solve multi- step word problems with whole numbers. . . . . . . . . 18
Multiplying Menace by Pam Calvert
5.NF Multiply a whole number by a fraction. . . . . . . . . . . . . . . . . . . . . . 22
Wrapping It Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
2 Reason Abstractly: SMP 2—Reason Abstractly and
Quantitatively . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
Each Orange Had 8 Slices by Paul Giganti, Jr.
K.OA Count to answer, How many?. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
vi (cid:85) Contents
Ten Flashing Fireflies by Philomen Sturges
1.OA Explore the Commutative Property of Addition . . . . . . . . . . . . . . 30
Rooster’s Off to See the World by Eric Carle
1.OA Explore the Associative Property of Addition . . . . . . . . . . . . . . . . 32
Spaghetti and Meatballs for All! by Marilyn Burns
2.G Partition rectangles into rows and columns. . . . . . . . . . . . . . . . . . . 34
What Does This Standard Mean for Grades 3–5 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Racing Around by Stuart J. Murphy
3.MD Solve problems involving perimeters of polygons. . . . . . . . . . . . 37
Fractions, Decimals and Percents by David A. Adler
4.NF Understand decimal notation for fractions . . . . . . . . . . . . . . . . . . 39
Count to a Million by Jerry Pallotta
5.NBT Understand the value of 0 in a multi- digit number. . . . . . . . . . . 41
Wrapping It Up . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
3 Construct Arguments: SMP 3—Construct Viable Arguments
and Critique the Reasoning of Others . . . . . . . . . . . . . . . . . . . . . . . . . . 44
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
How Many Mice? by Michael Garland
K.OA Represent addition and subtraction . . . . . . . . . . . . . . . . . . . . . . . 45
Mall Mania by Stuart J. Murphy
1.NBT Add two- digit numbers using various strategies. . . . . . . . . . . . . 47
How Many Seeds in a Pumpkin? by Margaret McNamara
2.NBT Skip- count and compare three- digit numbers. . . . . . . . . . . . . . . 48
What Does This Standard Mean for Grades 3–5 Problem Solvers? . . . 52
Full House by D.A. Dodds
3.NF Understand how fractions are written as part/whole . . . . . . . . . . 53
The Warlord’s Puzzle by Virginia Walton Pilegard
4.G Classify 2-D figures and recognizing right triangles. . . . . . . . . . . . . 55
The Hershey’s Milk Chocolate Fractions Book by Jerry Pallotta
5.NF Use equivalent fractions to add and subtract fractions. . . . . . . . . 58
Wrapping It Up. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
4 Create a Model: SMP 4—Model with Mathematics. . . . . . . . . . . . . . . 61
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
The Doorbell Rang by Pat Hutchins
K.OA Represent addition in various ways . . . . . . . . . . . . . . . . . . . . . . . . 62
Contents (cid:85) vii
Bigger, Better, Best! by Stuart J. Murphy
1.G Compose 2-D shapes into composite shapes. . . . . . . . . . . . . . . . . . 66
Alexander, Who Used to be Rich Last Sunday by Judith Viorst
2.MD Solve word problems with money. . . . . . . . . . . . . . . . . . . . . . . . . 71
What Does This Standard Mean for Grades 3–5 Problem Solvers? . . . 74
Tiger Math by Ann Whitehead Nagda and Cindy Bickel
3.MD Draw graphs to represent a data set with several categories. . . . 75
Actual Size by Steve Jenkins
4.MD Make a line plot to display a data set of measurements. . . . . . . . 78
Polly’s Pen Pal by Stuart J. Murphy
5.MD Convert among different- sized measurement units. . . . . . . . . . . 81
Wrapping It Up. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
5 Use Mathematical Tools: SMP 5—Use Appropriate Tools
Strategically . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84
Patterns in Peru by Cindy Neuschwander
K.G Describe relative positions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
How Big is a Foot? by Rolf Myller
1.MD Iterate length units. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88
Sir Cumference and the Sword in the Cone by Cindy Neuschwander
2.G Recognize attributes of 3D objects. . . . . . . . . . . . . . . . . . . . . . . . . . 91
What Does This Standard Mean for Grades 3–5 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94
Inchworm and a Half by Elinor Pinczes
3.MD Generate measurement data by measuring lengths . . . . . . . . . . 95
Sir Cumference and the Great Knight of Angleland by Cindy
Neuschwander
4.MD Understand concepts of angles. . . . . . . . . . . . . . . . . . . . . . . . . . . 97
Perimeter, Area and Volume by David A. Adler
5.MD Understand concepts of volume measurement. . . . . . . . . . . . . 101
Wrapping It Up. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104
6 Attend to Precision: SMP 6—Attend to Precision. . . . . . . . . . . . . . . . 105
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
If You Were a Triangle by Marcie Aboff
K.G Identify 2D shapes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106
Lemonade for Sale by Stuart J. Murphy
1.MD Represent and interpret data. . . . . . . . . . . . . . . . . . . . . . . . . . . . 108
viii (cid:85) Contents
Measuring Penny by Loreen Leedy
2.MD Measure and estimate lengths. . . . . . . . . . . . . . . . . . . . . . . . . . . 112
What Does This Standard Mean for Grades 3–5 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Chimp Math by Ann Whitehead Nagda and Cindy Bickel
3.MD Solve problems involving measurement of intervals
of time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
Hershey’s Milk Chocolate Weights and Measures by Jerry Pallotta
4.MD Express and record units of measurement . . . . . . . . . . . . . . . . . 119
Sir Cumference and the Viking’s Map by Cindy Neuschwander
5.G Graph points on a coordinate plane. . . . . . . . . . . . . . . . . . . . . . . . 122
Wrapping It Up. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124
7 Look for Structure: SMP 7—Look for and Make Use of
Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125
The Button Box by Margarette S. Reid
K.MD Identify attributes for sorting. . . . . . . . . . . . . . . . . . . . . . . . . . . . 126
The Greedy Triangle by Marilyn Burns
1.G Explore attributes of shapes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
Earth Day— Hooray! by Stuart J. Murphy
2.NBT Use place value to add and subtract. . . . . . . . . . . . . . . . . . . . . . 133
What Does This Standard Mean for Grades 3–5 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
Hershey’s Kisses from Addition to Multiplication by Jerry Pallotta
3.OA Relate multiplication and division . . . . . . . . . . . . . . . . . . . . . . . . 138
If You Hopped Like a Frog by David M. Schwartz
4.MD Solve problems involving measurement. . . . . . . . . . . . . . . . . . . 141
Cheetah Math by Ann Whitehead Nagda
5.NBT Explain division calculations. . . . . . . . . . . . . . . . . . . . . . . . . . . . 144
Wrapping It Up. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147
8 Apply Repeated Reasoning: SMP 8—Look for and Express
Regularity in Repeated Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148
What Does This Standard Mean for Grades K–2 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148
Bunches of Buttons: Counting by Tens by Michael Dahl
K.CC Count to 100 by tens. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149
The King’s Commissioners by Aileen Freidman
1.NBT Represent tens and ones. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152
Contents (cid:85) ix
Sir Cumference and All the King’s Tens by Cindy Neuschwander
2.NBT Represent three- digit numbers. . . . . . . . . . . . . . . . . . . . . . . . . . 154
What Does This Standard Mean for Grades 3–5 Problem
Solvers? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157
Math Appeal by Greg Tang
3.OA Represent and solve problems involving multiplication. . . . . . . 158
The Warlord’s Beads by Virginia Walton Pilegard
4.NBT Understand place value for multi- digit numbers. . . . . . . . . . . . 161
Anno’s Magic Seeds by Mitsumasa Anno
5.OA Generate numerical patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163
Wrapping It Up. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166
Next Steps. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167
Appendix. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170