# Annotated Literature References Found in NCTM Journals

Book Reference Journal Reference Annotation
What Comes in 2’s, 3’s, and 4’s?
Aker, Suzanne. Illus. By Bernie Karlin. New York: Simon & Schuster, 1990
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number Value
Describes everyday objects that come in 2's, 3's, & 4's. Make your own list and add to it. Make a book. Continue with 5… (Article lists ideas for books like this)
Pigs Will Be Pigs.
Axelrod, Amy. New York: Four Winds Press, 1994
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, money, problem solving
Family of pigs are hungry but ate everything in the house and mom didn’t go to the bank. They go on a money hunt and collect enough to go out to dinner. Menu included. How much money did they have left. Answer in book L . Make own problems. (Article lists ideas for books like this)
The King’s Chessboard.
Birch, David. Illus. By Devis Grebu. New York: Dial Books for Young Readers, 1988
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, patterns, problem solving
The king wanted to pay a wise man for his help. The wise man was satisfied without, but the king insisted. The wise man asks for one grain of rice, and then double that amount for each square on a checkerboard. The king begins to pay and learns a lesson about pride. Book solves problem L . Doubling and halving problems. If won a million dollars and spent half each day how long would it last? (Article lists ideas for books like this)
Ten For Dinner.
Bogart, Jo Ellen. New York: Scholastic Books, 1989
Teaching Children Mathematics: Volume 2, Number 3 November 1995 Number value, communication, graphing
Margo has a birthday party with nine guests and one little devil. Students were introduced to graphing, teacher read the book, discussed the party and the devilish child. Asked them to speculate what kind of information in the book they could graph. When guests arrived, hats they made, what they wore, presents they brought, games played, songs sung, and how children got home. (good article)
Franklin Plays The Game.
Bourgeois, Paulette, and Brenda Clark. Toronto, Ontario: Kids Can Press, 1995
Teaching Children Mathematics: Volume 4, Number 1, September 1997 Problem solving, more than one way to solve a problem
Read Franklin stories and stopped where Franklin had a problem. Asked students to brainstorm how he could solve the problem. E.G. in this book his team mates are not good players and enjoy playing soccer for the fun of it. However, the problem they are to solve is how to score a goal. Students (grade1/2) brainstormed and webbed their solutions in - groups. The author claimed that students transferred the idea of solving problems more than one way from these activities to mathematics class. (Good article)
Benny’s Pennies.
Brisson, Pat. New York: Bantam Doubleday, 1993.
Harris, Jacqueline, Interweaving Language and Mathematics Literacy through a Story. Teaching Children Mathematics: Volume 5, Number 9 May 1999 Number value, communication, spatial reasoning:
Teacher has two of each five objects Benny bought on a tray and lets small groups of students (grade not given) look at the objects. Asks to close eyes and tell what saw. Asks or probes for ideas related to mathematics how many, how big, show with hands, shape, and other characteristics, color, materials. Then holds container and shakes. What is in it? Pennies. How many? Five. Is that right? Class answers yes. Tells she will read a story that has all the items. Asks to predict from cover. As read book asked numerous questions (see text for questioning strategies). Students worked in small groups to read and dramatize the story during the week. Later take home in book bag to share with parents.
T he Greedy Triangle.
Burns, Marilyn. Illus. By Gordon Silveria. New York: Scholastic, 1994
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Spatial reasoning, patterns
Triangle is not happy being a triangle and adds one side at a time. How does the shape change? What happens to the number of vertexes as sides are added. What happens to the size of the angles as the sides are added? Draw the diagonals for each shape, is there a pattern? (Article lists ideas for books like this)
The Great Kapok Tree: A Tale of the Amazon Rain Forest.
Cherry, Lynne. San Diego: Harcourt Brace & Co., 1990
Burton Gail Huge Trees, Small Drawings: Ideas of Relative Sizes. Teaching Children Mathematics: Volume 2, Number 8, November 1996 Relative sizes, Number value, pattern, problem solving, relative size, proportion.
Students (grade 6) made mural of rainforest and asked if animals/plants were the right size. Related size to classroom height and created a scale. Made terrariums and measured plants. Researched eating habits of some animals from the book and students wrote problems that they exchanged and discussed with others.
Dinner at the Panda Palace.
Calmenson, Stepanie. New York: HarperCollins Publishers, 1991
Get well gators!.
Calmenson, Stephanie and Joanna Cole. New York: Marrow Junior Books, 1989
Wickett, Maryann S., Amanda Bean and the Gator Girls: Writing and Solving Multiplication Stories, Teaching Children Mathematics: Volume 6, Number 5, January 2000 Multiplication Read Chapter 9 to students (grade 3). Amy and Allie plan to raise money to help repair the local playground by telling stories. For a fee the girls ask their customer to tell three facts and they created a story. Asked students to think of three facts about themselves, then write and solve a multiplication story using the three facts. Students could not, discuss what the problem was. Students had trouble connecting a number value to the facts and creating a problem. Some also had trouble with three and the teacher suggested two. Students wrote stories, solved, photocopied problems and created a class book for students to solve different problems.
The Principal’s New Clothes.
Calmenson, Stephanie. New York: Scholastic, 1989
Wickett, Maryann S., Measuring Up with The Principal's New Clothes. Teaching Children Mathematics: Volume 5, Number 8 April 1999 Measurement linear and area:
Read story and students (grade 4) suggest making clothes for our principal what would you need to measure so the clothes would fit. Divided students into groups, each group selected an adult in the school to make clothes. Students made three - dimensional models of their person out of paper. After having trouble making the models they decided to make half sized two - dimensional models of themselves and make flat clothes for their models. Measured in pairs with string and folded in half. When the models were finished they made clothes by measuring the model with conventional measuring tapes. Students hung their half - sized me up and reflected on what they learned. The half size is one fourth in area. To see cut a one size me, count the number of squares in it and the corresponding half size me and the area should be one - fourth or four times the other.
Carle, Eric, Hong Kong: Harper Trophy, 1977
Teaching Children Mathematics: Volume 4, Number 7, March 1998 Number value pattern, clock, time
Counting on Frank.
Clement, Rod. Milwaukee, Wisc.: Gareth Stevens Children’s Books, 1991
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Measuring, problem solving
Frank takes measuring and counting to the extreme. How many books it takes to fill the room? How many pencils you will use in a lifetime? How many students to fill the gym? Other questions? (Article lists ideas for books like this)
The Popcorn Book.
De Paola, Tomie. New York: Holiday House, 1978
Hopokins, Linda, Popping Up Number Sense. Teaching Children Mathematics: Volume 2, Number 2, October 1995 History of popcorn:
The Patchwork Quilt.
Flournoy, Valerie. Illus. By Jerry Pinkney. New York: Dial Books For Young Readers, 1985.
Smith, Jacquelin Threading Mathematics into Social Studies,. Teaching Children Mathematics: Volume 1, Number 7, March 1995 Measurement, pattern, spatial reasoning, geometry, tessellation Students read the book and made their own four square quilt. Made a large square, cut into four smaller squares, manipulated to decide on a pattern for strips with no identical squares adjacent. Completed quilt and gave as a gift.
A Cloak for The Dreamer.
Friedman, Aileen.New York: Scholastic Books, 1994
Teaching Children Mathematics: Volume 4, Number 9, May 1998 Spatial reasoning, patterns, problem solving
A tailor and three sons are asked to design and sew cloaks. Each cloak is made from a repeating pattern, rectangular like bricks on a floor, squares and triangles using the coat of arms colors, and the youngest son uses colors from nature and circles. The circle cloak has holes and is reworked, with help from father and brothers, to a warm cloak for world travel. Students (grade 5 - 6) listened to the story, posted diagrams of the cloaks, brainstormed how to fix the circle cloak, and finished the book. Students found that the circles were made into hexagons. They brainstormed how they might have made the cloak and what patterns they might have used. Students were asked to make their own cloak patterns Did so with pattern blocks. When they were satisfied they sketched their design and wrote about them. The teacher asked they about the fractional parts of the different shapes and introduced vocabulary (slide, flip, turn, tessellation, tiling, and symmetry). (Very good article).
A Three Hat Day.
Geringer, Laura. Illustrations by Arnold Lobel. Glenview, Ill.: HarperCollins Publishers, 1985
Teaching Children Mathematics: Volume 3, Number 7, March 1997
Thirteen Days of Halloween.
Greene, Carol. Chicago: Children’s Press, 1983
Teaching Children Mathematics: Volume 4, Number 2, October 1997 Patterns, problem solving, probability
A Quarter From the Tooth Fairy.
Holtzman, Caren.Illus. By Betsy Day. New York: Scholastic, 1995
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, money
A boy uses his quarter to buy stuff but keep returning them because he changes his mind. Each time he gets his money back a different way. Use coins to have students model the change. Have students model before reading and read the book as a summary. What can you buy for a quarter? What could your parents when they were your age? (Article lists ideas for books like this)
Sweet Clara and the Freedom Quilt.
Hopkinson, Deborah. Illus. By James Ransome. New York: Alfred A. Knopf, 1993.
Smith, Jacquelin Threading Mathematics into Social Studies,. Teaching Children Mathematics: Volume 1, Number 7, March 1995 Number value, spatial reasoning, patterns, and map sequencing: Students review foursquare quilt block and designed a nine - square block. Discussed why this new pattern was a square. Predicted next larger squares. Made square blocks to 81. Asked how many square were added to one to make the next. Built squares by tessellation. Discussed how to insert the escape map. Colored on white fabric with fabric crayons, cut into squares the size of the nine - square patches, and ordered them into the pattern. Sewed strips…
The Doorbell Rang.
Hutchins, Pat. New York: Greenwillow Books, 1986
Lubinski, Cheryl, A., & Otto, Albert D. Literature and Algebraic Reasoning. Teaching Children Mathematics: Volume 3, Number 6 Febuary 1997 Algebra, inverse relationship:
Read the story to the students (grade 1). Asked what happened, created a two - column chart (number of children and number of cookies), then responded as the number of children got larger the number of cookies each received got smaller, and described their reasoning. Extended by asking what would happen if the 12 was increased to 24. Worked to help students see that as the number of people increased by 2 the amount of cookies was decreased by 1/2. By having students draw pictures, label, and explain reasoning the authors claim first grade students are able to understand the concept (see text). Next increased by three to show inverse relationship of three to 1/3.
Which Witch is Which?
Hutchins, Pat. New York: Greenwillow Books, 1989
Leitze, Annette Ricks, Connecting Process Problem Solving to Children's Literature. Teaching Children Mathematics: Volume 3, Number 7, March 1997 Problem Solving, reasoning:
Read the book and discover which of the twin witches is Ella and which is Emily. Spin off problems How many cards did Mouse or mother writes if Mom could write twice as fast. Food problems, cleaning house problems.
Biggest, Strongest, Fastest.
Jenkins, Steve, New York: Ticknor & Fields Books for Young Readers, 1995
Teaching Children Mathematics: Volume 3, Number 8 April 1997 Number value, measurement, proportion, problem solving
Shared book of facts of fourteen animals with her students (grade 3/4). Discussed the book. Asked students if they could use their height to measure some of the animals in the book to understand how big they really are. Since they were all different they needed to find an average height. Each student made a train of Unifix cubes that represented their height. Then the class lined them up and found the class average. Using the class average height how many students would it take to make different animals in the book? Students selected an animal, solved the problem, illustrated their answer, and shared their work with the rest of the class. (Very good article)
Geraldine’s Blanket.
Keller, Holly. New York: Greenwillow Books, 1984
Teaching Children Mathematics: Volume 1, Number 8 April 1995 Number value, problem solving, addition, subtraction, place value, fractions, estimation
Geraldine will not give up her blanket. Students shared stories of their special blanket or toy. Discussed how clever she was. This article discusses how the author created stories about patches on a blanket. Patches being added and different colored patches to assess her students' understanding of place value, addition, and subtraction. She also used wallpaper pieces (patches) and asked students to cover their desks. They had to cut some patches in half and discuss how students solved problems using estimation and fractions. (Good article) Could give students a sheet of paper or cloth (blanket) and smaller pieces (patches). Have the students see how many patches would fit on the blanket, Have students patch their blanket and write a problem.
Smoky: A Collection of Songs and Stories from Appalachia.
Kidd, Ronald, comp. Nashville, Tenn.: Ideals Children’ Books, 1992
Smith, Jacque, Assessing Children's Reasoning: It's an age - old Problem. Teaching Children Mathematics: Volume 2, Number 9, May 1996 Reasoning, number sense, operations:

How old is she Billy Boy, Billy Boy
How old is she, charming Billy?
She's twice six and twice seven,
Twenty - eight and eleven;
She's a young thing
And cannot leave her mammy.

Third grade students discussed many ideas about how young she was 6 - 20. No one used number clues in song for a significant time.
Three Pigs, One Wolf, and Seven Magic Shapes.
Maccarone, Grace. New York: Scholastic, 1997
Margerm, Pat An Old Tale with a New Turn and Flip and Slide. Teaching Children Mathematics: Volume 6, Number2 October 1999 Spatial relations:
Students (grade 4) retold Three Little Pigs from memory. As the teacher read the book she asked questions, introduced the tangram shapes, and made the figures in the book. Teacher used vocabulary to describe shapes and what she did with the pieces as she made some patterns (congruent, flip, slide, turn). Students created a cat with the paper pieces, glued them on paper, and wrote a description. Students were asked to decide what the two pigs that got married could do with the tangram pieces now that they had two houses.
Mirandy and Brother Wind.
Mc Kissack, Patricia. New York: Scholastic, 1990
Teaching Children Mathematics: Volume 1, Number , March 1995
The M&M’s Brand Chocolate Candies Counting Book.
McGrath, Barbara Barbieri. Watertown, Mass.: Charlesbridge Publishing, 1994
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, patterns, problem solving
Has many examples that use color, number, shapes, and sets. Use real or paper M&M's to make different arrangements. How many different arrangements can be made for two colors (how many ways can two M&M's be arranged in a row), three… (Article lists ideas for books like this)
Twelve Ways to Get to Eleven.
Merriam, Eve. Illus. By Bernie Karlin. New York: Simon & Schuster, 1993
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, patterns, communication, charts
Illustrates ways to get eleven. Draw a picture of your self. Sort the class pictures by different characteristics (hair color, gender…) and chart. Have students make books. (Article lists ideas for books like this)
The Story of Z.
Modesitt, Jeanne. Illustrated by Lonni Sue Johnson. Saxonville, Mass.:Picture Book Studios, 1990
Teaching Children Mathematics: Volume 2, Number 4 December 1995 Number value, pattern, estimation, charts
Z feels disregarded and unloved because of lack of use, forms her own coalition of letters and leaves the English speaking world in a bind. She soon realizes the havoc she has caused and discovers it is not easy to lead a group of letters that all want to be first. Teacher read the book and asked the students if Z had a case. Students counted letters and graphed letters in their names. Students were asked to predict the use of letters before they made gelatin letters using alphabet cookie cutters. Students predicted it would follow the same pattern, but were surprised to find it did not. Students choose different letters. They discussed why. Answers included availability of cookie cutters. (Good article)
Shoes, Shoes, Shoes.
Morris, Ann. New York: Published by Lothrop, Lee & Shepard Books, 1995
Moira’s Birthday.
Munsch, Robert. Illustrated by Michael Martchenko. Toronto: Annick Press, 1987
Oppedal, Diane Cradick. Mathematics Is Something Good! Teaching Children Mathematics: Volume 2, Number 1 September 1995 Number value, rate:
Read book. Ask the students (grade 2) how can you show 200 things in different ways. Next day students shared their answers and reasoning. Asked if it took 200 children 10 minutes to eat 200 cakes, how long would it take them to eat 100 cakes, 20 cakes.
Something Good.
Munsch, Robert. Illustrated by Michael Martchenko. Toronto: Annick Press, 1990
Oppedal, Diane Cradick. Mathematics Is Something Good! Teaching Children Mathematics: Volume 2, Number 1 September 1995 Number value:
Read book to students (grade 2). Told students that she knew that they could count 300 objects and challenged them to show it in a way that they could easily see what the value was and know it was accurate. Next had students figure how many squares fit on different areas (didn't seem logical to me).
How Big Is A Foot?
Myller, Rolf. New York: Dell Publishings, 1990
Lubinski, Cheryl and Diane Thiessen, Exploring Measurement through Literature, Teaching Children Mathematics: Volume 2, Number 5, January 1996 Measurement, standard unit:
Read book to students (grade 1). Discussion based around teacher's questions. What are the problems in the story? Who had them? What solutions were presented? Is the chief carpenter's role important? How could the chief carpenter have solved the problem? What role did the apprentice play? Could the apprentice have asked the king questions to avoid the problem? Constructed paper foot prints and measured objects. Iteration problem. Linked footprints on strips of paper with the help of sixth grade students. Measured each other with each others foot ruler. Came to ask How bid was your foot? Which meant, what unit did you use?
Amanda Bean’s Amazing Dream — a Mathematical Story.
Neuschwander, Cindy. New York: Scholastic, 1998
Maryann S. Wickett, Amanda Bean and the Gator Girls: Writing and Solving Multiplication Stories, Teaching Children Mathematics: Volume 6, Number 5, January 2000 Multiplication:
Read book to students (grade 3). Amanda loves to count and sees no reason to learn multiplication. Dream of sheep and grandmas convince otherwise. Illustrations of multiplication. Activity: read book, solved problems from illustrations, ask how was a story problem created, outline format on board, (information, numbers, question), students write problem solve on back several ways (pictures, words, equations, sentence, manipulative), and share.
Eight Hands Round: A Patchwork Alphabet.
Paul, Ann Whitford. Illus. By Jeanette Winter. New York: HarperCollins, Publishers, 1991.
Smith, Jacquelin Threading Mathematics into Social Studies,. Teaching Children Mathematics: Volume 1, Number 7, March 1995 Number patterns, spatial relations, quilt patterns, 26 quilt patterns of U. S. events related to settlement, variable star pattern:
Variable star pattern can be seen in an illustration in this book. Subdivide squares to make triangles and star patterns
A Remainder of One.
Pinczes, Elinor J. Illus. By Bonnie MacKain. New York: Houghton Mifflin Co., 1995
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, patterns, spatial reasoning
When the ants go on parade Joe is always being left out as they arrange into lines of 2, 3, 4, until… Chart the multiples of two in red on a chart, three in green, … could go to 25 or 100. (Article lists ideas for books like this)
One Hundred Hungry Ants.
Princzes, Elinor J. Boston: Houghton Mifflin Co., 1993
Lubinski, Cheryl, A., & Otto, Albert D. Literature and Algebraic Reasoning. Teaching Children Mathematics: Volume 3, Number 6 Febuary 1997 Algebra, change:
Read the story to the students (grade 4). Students made a two - column chart (number of lines and number of ants in each line). Then they were asked to describe the relationship. Next students were asked what would happen if the number of lines would double again. Students focused on manipulation of numbers and the authors focused on pictorial representations to explain reasoning. Changed to cookies, because cookies can be cut in half, and continued to develop the chart. Increased to forty and students were able to illustrate the relationships.
Aunt Harriet’s Underground Railroad in the Sky.
Ringgold, Faith. New York: Crown Publishers, 1992
Smith, Jacquelin Threading Mathematics into Social Studies,. Teaching Children Mathematics: Volume 1, Number 7, March 1995 Patterns, spatial reasoning
Variable star patterns were hung outside a house to designate it a safe house. A very small eight - pointed star is shown in the book. Subdivide squares to make triangles and star patterns
Tar Beach.
Ringgold, Faith. New York: Scholastic, 1991
Teaching Children Mathematics: Volume 1, Number , March 1995 Patterns, spatial relationships
How Much Is A Million?
Schwartz, David M. Illus. By Steven Kellogg. New York: Scholastic, 1985
Hopkins, Linda, Popping Up Number Sense. Teaching Children Mathematics: Volume 2, Number 2, October 1995 Number value, estimation:
Brainstorm with students (K - 5) where to find a million of something. Decide on popcorn. Estimate how much it would be. Pop, count, group 100, 1000, estimate in containers, continue till a million. Create word problems to solve e.g. How many pieces of popcorn would it take to cover the city? Brainstormed what to do with popcorn when done? Feed it to the hogs.
Schwartz, David M. If You Made a Million. Illus. By Steven Kellogg. New York: Scholastic, 1989 Hopkins, Linda, Popping Up Number Sense. Teaching Children Mathematics: Volume 2, Number 2, October 1995 Number value, estimation:
Brainstorm with students (K - 5) where to find a million of something. Decide on popcorn. Estimate how much it would be. Pop, count, group 100, 1000, estimate in containers, continue till a million. Create word problems to solve e.g. How many pieces of popcorn would it take to cover the city? Brainstormed what to do with popcorn when done? Feed it to the hogs.
The Math Curse.
Scieszka, Jon and Lane Smith. New York: Viking, 1995
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Problem solving, perspective of mathematics.
Story of mathematics everywhere. Write a story, keep a journal showing how you use mathematics or see mathematics for a day.
Stay in Line.
Slater, Teddy.Illus. By Gioia Fiammenghi. New York: Scholastic, 1996
Teaching Children Mathematics: Volume 4, Number 3, November 1997 Number value, spatial relationship, problem solving
A class of twelve children goes on a field trip and rearrange themselves in different rows. Have the students model different arrangements of manipulatives. Change the number of students and model other class sizes. (Article lists ideas for books like this)
Tops and Bottoms.
Stevens, Janet. New York: Harcourt Brace & Co., 1995
Teaching Children Mathematics: Volume 4 Number 4, December 1997 Problem solving
The teacher read the story to the students (grade 2 & 5). Hare tricks lazy Bear into letting him use his land, grow crops, then split by giving top, bottom, or middle. If Bear picks tops, then Hare plants root crops. Students discuss if Hare was a fair business partner. The students were asked to devise a plan for a better way to share, demonstrate it with manipulatives, illustrations, models, or with computers a calculators. Students created their models, illustrated them, and shared them with the classes. (Good article scoring rubric also provided)
Jumping the Broom.
Wright, Courtni C. New York: Holiday House,1994
Smith, Jacquelin. A Different Angle for Integrating Mathematics. Teaching Children Mathematics: Volume 1, Number 5 January 1995 Spatial relationships, patterns, fractions, angles:
Teacher created display of clues (8 points, 72 diamonds, 9 diamonds in each point, and a picture of a six pointed star made from 54 white, dark blue, light blue, red, green, and yellow diamonds). Read story without showing pictures to students (grade 3) and stopped on the page that had the directions for the quilt. Students made connection to clues on wall. They asked what is the problem. Eventually students said the design could not be the design in the story because it had six points. Students were challenged to prove it and create the star described in the book. Took students' time to reason that making smaller diamonds would not work. That they had to change the angles. Related to circle to calculate the value. Then constructed the star pattern. Could have student describe the number of diamonds in the star as a fraction of the star. Excellent problems can be created because of the many fractions that can be created from the number 72. (Great article)