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2010Saskatchewan Additional Learning Resources

Mathematics

iMathematics 3

Mathematics 3

Additional Learning Resources

Prepared by:

Curriculum and E-Learning Branch

Ministry of Education

2010 (Updated 2011)

ii Mathematics 3

Mathematics: additional learning resources 3 ISBN 978-1-926631-95-0 1. Mathematics – Study and teaching (Elementary) – Bibliography. I. Saskatchewan. Ministry of Education. Curriculum and E-Learning. Science and Technology Unit.

016.37272372.72016

All rights for images of books or other publications are reserved by the original copyright owners.

iiiMathematics 3

Table of ContentsForeword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v

Manipulatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii

Print, Audio-visual, and Other Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

Digital Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45

vMathematics 3

Foreword

This list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support the curriculum, Mathematics 3. This list will be updated as new resources are recommended and older ones are no longer available. A list of core learning resources can be found on the

Ministry of Education website.

(CAN) indicates that a Canadian contributed to the development of the resource and/or that it includes Canadian content. (SK) indicates that a Saskatchewan person contributed to the development of the resource and/or that it includes Saskatchewan content. (FNMI) indicates that a First Nations, Métis, or Inuit person contributed to the development of the resource and/or that it includes First Nations, Métis, or Inuit content. Resources evaluated and recommended as support for the Western and Northern Canadian Protocol curriculum frameworks and Saskatchewan’s provincial curricula have the designation (WNCP) before the annotation.

Other resources beyond those recommended in this list may effectively support the curriculum, Mathematics 3. It remains the responsibility of educators to preview and select materials that best meet the needs of their school or community. Educators should choose resources in accordance with their school division’s learning resources selection policy.

Pricing of the learning resources in this document is subject to change without notice.

Manipulatives are an essential component of an effective mathematics program, leading to the development of deeper understanding of mathematical concepts. Included are charts outlining the types of manipulatives needed, and the suggested quantity recommended (where appropriate). Some manipulatives may be collected; others may be constructed; and many may be purchased. The main distributors for these materials are Exclusive Educational Products at www.exclusiveeducational.ca and Spectrum Nasco Educational Supplies Ltd. at https://education.spectrum-nasco.ca/. Please consult these companies’ catalogues for purchasing information.

The Ministry of Education expresses its appreciation to publishers, producers, and distributors who have provided learning resources for evaluation, and gratefully acknowledges the contributions made by educators who served as evaluators.

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Item Suggested Uses (Strands) Suggested Quantity

Open-ended material such as beads, buttons, glass pebbles, tiles, marbles, ribbon, fabric samples, spools of thread, and egg cartons

All As required

Balance Patterns and Relations Shape and Space

1 per two or three students

Note: Balances are essential to develop the concepts of equality and inequality that lead to pre-algebra skills and concepts.

Base ten materials (blocks, stamps, mats, and clear view for teacher)

Number 1 clear view set for teacher use (100 units, 20 tens, and 10 hundreds of both colours)

150 ones, 30 tens, 12 hundreds, and 2-3 thousands per child and some for replacement

1 mat per student

3 stamp sets per class

Centimetre cubes (interlocking and non-interlocking)

Number Patterns and Relations

At least 50 of each colour per two or three students

Linking cubes Number Patterns and Relations Shape and Space

3 large sets per class

Colour tiles (including tiles for use with overhead)

Number Patterns and Relations Shape and Space

At least 50 per two or three students per colour and some for replacement

Clay, play dough, and other similar materials Number Patterns and Relations Shape and Space

Various, as required

Counters (both purchased and natural) - Open-ended and natural materials placed in the environment - Transparent, multi-coloured - 2-sided

Number Patterns and Relations

Counters – at least 100 per student per colour and some for replacement

Small objects – depends on type and use

3-D objects Shape and Space 4 or 5 sets per class

Pattern blocks Number Shape and Space Patterns and Relations

1 set per 6-8 students

Fraction blocks Number Shape and Space Patterns and Relations

1 set per 6-8 students

Money (coins and dollar bills) Number Various, as required

Grid paper including transparent Number Patterns and Relations Shape and Space

As required

Fraction circles, fraction strips, fraction rings, and fraction grids

Number Mixture of fraction material, at least one set per student

Manipulatives

(continued)

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Item Suggested Uses (Strands) Suggested Quantity

Calendar and timers Shape and Space As required

Mass scale Shape and Space 1 per class

Power polygons Shape and Space 2-3 sets per class

Linear measuring materials (rulers – starting at the edge and not starting at the edge, measuring tapes, metre sticks, trundle wheels, and string)

Shape and Space 1 ruler per student

1 measuring tape per 4 students

1 metre stick per 4 students

Manipulatives (continued)

1Mathematics 3

Print, Audio-visual, and Other Resources

Algebraic Reasoning: Professor Arbegla Introduces Variables and Functions: GEMS Teacher’s Guide for Grades 3-5Authors: Kopp, Jaine and Bergman, Lincoln

AnnotationThe fictitious Professors Arbegla and LaBarge introduce students to numerous problems that require critical thinking and algebraic reasoning. “Malfunctioning” machines and special scales pose mathematical challenges in which students identify patterns and the relationships between numbers. Explorations of the distributive property, the identity property, inverse operations, and the commutative property described in this resource develop students’ mental addition and multiplication skills.

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Suggested UsesNumberShape and Space

PublisherLawrence Hall of Science #5200

DistributorSpectrum Educational Supplies Ltd.150 Pony DrNEWMARKET ON L3Y 7B6(800) 668-0600(905) 898-0031Fax: (800) 668-0602Email: [email protected]: https://education.spectrum-nasco.ca/

Price: $24.95 pbk.Pagination: 140 p.ISBN: 978-0-924886-70-6

Copyright: 2003Year Recommended: 2004

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Suggested UseNumber

PublisherScholastic Inc.

DistributorScholastic Canada Ltd.175 Hillmount RdMARKHAM ON L6C 1Z7(800) 268-3848(905) 887-7323Fax: (866) 346-1288Email: [email protected]: www.scholastic.ca

Price: $22.99 hdc.Pagination: 148 p.ISBN: 978-0-950-30012-4


Amanda Bean’s Amazing Dream: A Mathematical StoryAuthors: Neuschwander, Cindy and Burns, MarilynIllustrator: Woodruff, Liza

AnnotationAmanda Bean merrily counts anything and everything. Bean Counter, as her friends call her, encounters several counting dilemmas due to her reluctance to multiply. Her struggle to count faster consumes her daily life and eventually her dreams. After an amazing dream presents an overwhelming counting challenge, Amanda realizes that multiplication is an efficient method for counting sets and arrays of objects. The pen-and-ink illustrations pose opportunities to develop multiplication concepts. Marilyn Burns supplements this resource by providing teaching suggestions and ideas for extending the story.

From AMANDA BEAN’S AMAZING DREAM: A MATHEMATICAL STORY by Cindy Neuschwander, illustrated by Liza Woodruff. Math Activities by Marilyn Burns. A Marilyn Burns Brainy Day Book published by Scholastic Inc./Scholastic Press. Copyright © 1998 by Marilyn Burns Education Assoicates, Inc. Reprinted by permission.

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PublisherWilliam Morrow & Co.

DistributorHarperCollins Canada Ltd.1995 Markham RdSCARBOROUGH ON M1B 5M8(800) 387-0117(416) 321-2241Fax: (800) 668-5788Email: [email protected]: www.harpercollins.ca/

Price: $16.79 hdc.Pagination: unp.ISBN: 978-0-688-15665-7


Bats on ParadeAuthor: Appelt, KathiIllustrator: Sweet, Melissa

AnnotationA bat parade doubles as an introduction to basic multiplication in this story. On a midsummer’s eve, a group of 385 bats march in formation. Their groups illustrate multiplication facts. Piccolos piping in twos, flautists marching three by three, and so on, until 385 bats are assembled, carefully grouped to show the sum of the products of 1x1, 2x2, 3x3, and on through 10x10. The numerical problems are pictured in separate illustrations in the corners of the pages. Children will be able to use the book to help them visualize what happens during the multiplication process.

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Suggested UseNumber

ProducerSpoken Arts Inc.

DistributorROVER(Recommended Online Video Education Resources)(866) 933-8333 (for technical inquiries or support)Email: [email protected]: http://rover.edonline.sk.ca/index.htm

Price: $Free (within Saskatchewan PreK-12 schools)Length: 9 min.ID Number: TBA

Copyright: 2009Year Recommended: 2010Expiry Date: July 1, 2016

Blockhead: The Life of FibonacciAnnotationIn this video program, the life of Leonardo Fibonacci is examined. Living in medieval Italy, Leonardo constantly thought about numbers. People called him blockhead because he daydreamed about numbers. As Fibonacci grew older and travelled the world, he studied how other countries use numbers and how they represent a numeral.

Today, Fibonacci is famous for his word problem about multiplying rabbits. He also discovered that things in nature seem to follow a certain pattern. Fibonacci is considered to be one of the greatest Western mathematicians of all time.

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Suggested UseProfessional Resource

Publisher/DistributorNational Council of Teachers of Mathematics1906 Association DrRESTON VA 20191-1502(800) 235-7566(703) 620-9840Fax: (703) 476-2970Email: [email protected]: www.nctm.org

Price: $28.95 U.S. pbk.Pagination: 99 p.ISBN: 978-0-87353-529-8


Children Are Mathematical Problem SolversAuthors: Sakshaug, Lynae; Olson, Melfried; and Olson, Judith

AnnotationEmphasizing problem solving as the foundation of mathematical understanding, the 29 activities challenge students to reason and communicate their understandings. Originating from the National Council of Teachers of Mathematics journals, these activities stretch beyond translation problems to offer authentic tasks that can be solved using varying methods. The open-ended problems stem from a range of strands, and the resource guides teachers through sample questions, examples of students’ work, and assessment techniques.

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Earth Day – Hooray!Author: Murphy, Stuart J.Illustrator: Andriani, Renée

AnnotationA group of students set out to improve their local park by picking up garbage. In the process, they find many aluminum cans and decide to recycle them, using the money to buy flowers for the park. When the garbage collector accidentally picks up the bags of cans, the students decide to begin a school-wide recycling project. Together, they raise awareness for the project among the student body. As the cans start to come in, the organizers count and keep track of the total, placing the cans into bags of ten, one hundred, and one thousand. After surpassing their goal of five thousand cans, the students celebrate Earth Day by planting flowers in the park. Additional suggestions for exploring place value are included at the end of the story.

Suggested UseNumber

Publisher/DistributorHarperCollins Canada Ltd.1995 Markham RdSCARBOROUGH ON M1B 5M8(800) 387-0117(416) 321-2241Fax: (800) 668-5788Email: [email protected]: www.harpercollins.ca/



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Equal Schmequal: A Math AdventureAuthor: Kroll, VirginiaIllustrator: O’Neill, Philomena

AnnotationAfter watching children play a game of tug-of-war, Mouse and her friends want to play. The animals consider various ways to create equal teams, such as plant-eaters versus meat-eaters or fur versus no fur. Mouse reconsiders and decides to use weight as the factor to determine the two teams. Other examples of equality are highlighted in the story.

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PublisherCharlesbridge Publishing

DistributorSpectrum Educational Supplies Ltd.150 Pony DrNEWMARKET ON L3Y 7B6(800) 668-0600(905) 898-0031Fax: (800) 668-0602Email: [email protected]: https://education.spectrum-nasco.ca/



Equal Shmequal: A Math Adventure by Virginia Kroll and Philomena O’Neill, illus. © 2005. Used with permission by Charlesbridge Publishing, Inc.

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Suggested UsesNumberShape and SpaceStatistics and Probability




Exploring Mathematics through Literature: Articles and Lessons for Prekindergarten through Grade 8Editor: Thiessen, Diane

AnnotationUsing literature as the starting point for mathematical explorations, this collection of articles and lessons provides teachers with examples to effectively build students’ understanding of mathematical concepts. The articles focus on five strands: numbers and operations, algebra, geometry, measurement, and data analysis and probability. Many activities lend themselves to small group and whole class discussions. Varied instructional strategies encourage students to utilize and develop critical and creative thinking skills, problem-solving skills, and mathematical reasoning abilities. Recording sheets facilitate the collection of data, and the organization of students’ thinking. Many of the literature suggestions may be found in school or public library collections. Teachers are encouraged to use this resource as a stepping stone to using literature as the basis for mathematical explorations.

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Suggested UsesNumberShape and SpaceStatistics and Probability

PublisherCorwin Press, Inc.

DistributorSage Publications, Inc.2455 Teller RdTHOUSAND OAKS CA 91320(805) 499-9774(800) 818-7243Fax: (800) 583-2665Email: [email protected]: www.sagepub.com

Price: $66.95 U.S. hdc.$30.95 U.S. pbk.

Pagination: 150 p.ISBN: 978-0-7619-3850-7 hdc.

978-0-7619-3851-4 pbk.


Extending the Challenge in Mathematics: Developing Mathematical Promise in K-8 StudentsAuthor: Sheffield, Linda Jensen

AnnotationPresenting engaging problems that are context and content based, the author demonstrates methods for developing mathematical understanding. Each investigation includes open-ended questions to guide mathematical communication, and probing assessment questions. This resource explores problem-solving activities for each of the strands.

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Suggested UseStatistics and Probability

PublisherFarrar, Straus & Giroux

DistributorHarperCollins Canada Ltd.1995 Markham RdSCARBOROUGH ON M1B 5M8(800) 387-0117(416) 321-2241Fax: (800) 668-5788Email: [email protected]: www.harpercollins.ca/



Five CreaturesAuthor: Jenkins, EmilyIllustrator: Bogacki, Tomek

AnnotationThis picture book has endless classroom possibilities. A young girl tells about the three humans and two cats that live in her house. She describes these inhabitants in different ways by classifying them according to a variety of attributes. Teachers will find this a useful accompaniment when teaching grouping, classifying, and Venn diagrams.

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Full House: An Invitation to FractionsAuthor: Dodds, Dayle AnnIllustrator: Carter, Abby

AnnotationMiss Bloom runs the Strawberry Inn and just loves visitors. One day, she welcomes a duchess, a dog trainer, a sea captain, a salesperson, and a race car driver. In the middle of the night, Miss Bloom realizes something is not right; she forgot to serve dessert. As she enters the kitchen, all the guests are eating strawberry cake with whipped cream, with one remaining piece for Miss Bloom.

Suggested UseNumber

PublisherCandlewick Press

DistributorPenguin Group (Canada)90 Eglinton Ave E, Suite 700TORONTO ON M4P 2Y3(800) 399-6858(416) 925-2249(800) 363-2665Email: [email protected]: www.penguin.ca



FULL HOUSE: AN INVITATION TO FRACTIONS. Text copyright © 2007 Dayle Ann Dodds. Illustrations copyright © 2007 by Abby Carter. Reproduced by permission of the publisher, Candlewick Press, Somerville, MA.

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Suggested UseNumber

PublisherTricycle Press

DistributorRandom House of Canada Limited2775 Mathemson Blvd EMISSISSAUGA ON L4W 4P7(888) 523-9292Fax: (888) 562-9924Email: [email protected]: www.randomhouse.ca



G Is for Googol: A Math Alphabet BookAuthor: Schwartz, David M.Illustrator: Moss, Marissa

AnnotationThis book highlights one or more mathematical concepts, ideas, or symbols for each letter of the alphabet. It offers a thorough description of each term, often with possible connections to other topics. As well, interesting (and sometimes humourous) examples are included. A table of contents and a glossary are provided.

Reprinted with permission from G Is for Googol by David M. Schwartz. Text copyright © 1998 by David M. Schwartz, Illustrations copyright © 1998 by Marissa Moss, Tricycle Press, Berkeley, CA. www.tenspeed.com.

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PublisherMath Solutions Publications

DistributorPearson Education CanadaSchool Division195 Harry Walker Pkwy NNEWMARKET ON L3Y 7B4(800) 361-6128(905) 853-7888Fax: (800) 563-9196Email: [email protected]: www.pearsonschoolcanada.ca/



Good Questions for Math Teaching: Why Ask Them and What to Ask, K-6Authors: Sullivan, Peter and Lilburn, Pat

AnnotationThe definition and formulation of open-ended mathematical questions are explored in this resource. The first section describes the effect that higher level questions can have upon students’ ability to think and reason critically. The second section includes a large selection of good questions for each of the strands. Each sample question is supplemented with notes to guide teachers in ascertaining if students understand the presented concept.

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Publisher/DistributorScholastic Canada Ltd.175 Hillmount RdMARKHAM ON L6C 1Z7(800) 268-3848(905) 887-7323Fax: (866) 346-1288Email: [email protected]: www.scholastic.ca



The Grapes of Math: Mind-stretching Math RiddlesAuthor: Tang, GregIllustrator: Briggs, Harry

AnnotationCleverly disguised mathematics riddles are presented in this resource. The rhyming verses and accompanying illustrations present mental addition strategies through patterns and combinations of numbers. Students are challenged to seek the solutions to the riddles using problem solving and critical thinking skills. The solutions to the puzzles and addition strategies are provided in the resource’s appendix.

Jacket illustration by Harry Briggs from THE GRAPES OF MATH: MIND-STRETCHING MATH RIDDLES by Greg Tang. Scholastic Inc./Scholastic Press. Illustration Copryight © 2001 by Scholastic Inc. Used by permission.

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Great EstimationsAuthor: Goldstone, Bruce

AnnotationUsing a variety of photographed objects, the author helps readers develop their estimation strategies by first looking at groups of ten, one hundred, and one thousand. Numerous opportunities allow students to use groupings and patterns to estimate quantities of everyday objects. Each picture includes hints for helpful estimation strategies. The book ends with a challenge to continue estimating in everyday life, and suggestions for getting started.

Suggested UseNumber

PublisherHenry Holt & Co., Inc.

DistributorH. B. Fenn & Company Ltd.34 Nixon RdBOLTON ON L7E 1W2(800) 267-3366(905) 951-6600Fax: (800) 465-3422Email: [email protected]: www.hbfenn.com



Cover from GREAT ESTIMATIONS by Bruce Goldstone. Copyright © 2006 by Bruce Goldstone. Reprinted by permission of Henry Holt and Company, LLC.

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The Great Graph ContestAuthor: Leedy, Loreen

AnnotationA snail, a lizard, and a toad lead the way in a colourful exploration of collecting and displaying data. Using tallies, surveys, Venn diagrams, circle graphs, picture graphs, and bar graphs, important information is conveyed. At the end of the book, each graph is further explained and readers are challenged to collect, organize, and display their own information.

Suggested UseStatistics and Probability

PublisherHoliday House, Inc.

DistributorThomas Allen & Son Limited390 Steelcase Rd EMARKHAM ON L3R 1G2(905) 475-9126(800) 387-4333Fax: (800) 458-5504Email: [email protected]: www.thomasallen.ca/site/index.aspx



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It All Adds Up!: Engaging 8-to-12-Year-Olds in Math InvestigationsAuthor: Skinner, Penny

Annotation(CAN, WNCP) This resource encourages teachers to approach problem solving through student interaction and discussion. The main exploration involves number patterns with addition, subtraction, multiplication, and division. The classroom environment and suggested activities are conducive to group work. The rationale for this approach is explained.






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PublisherDial Books for Young Readers




The King’s ChessboardAuthor: Birch, David

AnnotationGeometric progressions are explored in this resource as a vain king insists that a wise man accept a reward for his service. The man reluctantly requests a daily payment of rice that is to be doubled for each square of the chessboard. The unwitting monarch grants the request, and subsequently drains the royal granaries of its rice supply. The watercolour illustrations amplify the king’s anguish as he realizes his foolish decision, and his eventual concession that pride can make a fool of oneself. This resource parallels the mathematical premise of Demi’s One Grain of Rice: A Mathematical Folktale and McKibbon’s The Token Gift.

Cover Image from Birch, David author. The King’s Chessboard © 1988 Books for Young Readers, Penguin Group (USA) Inc. Reproduced by permission.

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Suggested UseNumber

PublisherHarperCollins Publishers, Inc

DistributorHarperCollins Canada Ltd.1995 Markham RdSCARBOROUGH ON M1B 5M8(800) 387-0117(416) 321-2241Fax: (800) 668-5788Email: [email protected]: www.harpercollins.ca



Leaping LizardsAuthor: Murphy, Stuart J.Illustrator: Adinolfi, JoAnn

AnnotationReaders count by fives and tens in this rhyming story as fifty lizards join together for “The Fifty Leaping Lizards Show!” Additional counting activities are included at the end of the book.

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Learning Math with Calculators: Activities for Grades 3-8Authors: Sparrow, Len and Swan, Paul

AnnotationThis resource is designed to facilitate appropriate calculator usage in mathematics. Following a clear and thorough explanation of the role and effective usage of calculators, this resource supplies a variety of activities for using calculators. The activities focus on the development of problem-solving strategies, mental calculation methods, estimation skills, and number properties. This resource promotes building a strong understanding of numbers and sharing discoveries with peers. A list of references regarding calculator use is appended.






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Lessons for Algebraic Thinking: Grades 3-5Authors: Wickett, Maryann; Kharas, Katharine; and Burns, Marilyn

AnnotationThis resource fosters the development of algebraic thinking. Each chapter is organized into several sections: an overview of the lesson, the background of the mathematics fundamental to the lesson, a list of vocabulary terms, a detailed procedure, the required materials, and samples of students’ work. A foundation for algebraic thinking is developed through activities focused on the creation and recognition of numerical and geometric patterns. The lessons support student achievement of several learning outcomes in data management and analysis, numbers, and shape and space strands.






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The Lion’s Share: A Tale of Halving Cake and Eating It, TooAuthor/Illustrator: McElligott, Matthew

AnnotationAnt receives a special invitation to dinner with Lion. Other animals attend the dinner, but their manners are horrible. When it is time to eat the birthday cake, the animals all take one-half of the birthday cake. When the cake reaches Ant, there is barely a crumb left for her to share with the Lion. She decides to bake another cake for the Lion. Not wanting to be outdone, the other animals decide to bake as well, with Hippo needing to bake 256 peanut butter cupcakes. The book is a good example of demonstrating to students the concept of halving and doubling.

The program is adapted from the book by Matthew McElligott. Added features include a brief description of how the cake is halved and doubled, and an interview with the author.

Suggested UseNumber

PublisherBloomsbury Publishing




ProducerWeston Woods


Price: $Free (within Saskatchewan PreK-12 schools)Length: 15 min.ID Number: N518


From THE LION’S SHARE by Matthew McElligott, author/illustrator. Bloomsbury Publishing, Copyright © 2009. Reprinted by permission.

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Math and Science across Cultures: Activities and Investigations from the ExploratoriumAuthors: Bazin, Maurice and Tamez, Modesto

AnnotationThis resource makes a variety of cross-curricular connections using games and real-world activities from different cultures. Each chapter begins with a world map highlighting a particular country or countries. Lessons include cultural and content-specific information. The activities encourage hands-on exploration of concepts using critical and creative thinking. Three to four activities from diverse locations around the world are organized under each of the following broad categories: “Patterns and Play”, “Counting and Calendars”, “Social and Cultural Traditions”, and “Subsistence and Survival”. This resource offers an integrated approach to teaching mathematics and science as well as other subject areas.


PublisherThe New Press

DistributorUniversity of Toronto Press5201 Dufferin StDOWNSVIEW ON M3H 5T8(800) 565-9523(416) 667-7791Fax: (800) 221-9985Email: [email protected]: www.utpress.utoronto.ca/



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Math Appeal: Mind-stretching Math RiddlesAuthor: Tang, GregIllustrator: Briggs, Harry

AnnotationThis resource features riddles that demonstrate mental calculation strategies in context. Each two-page spread poses a mathematical problem with a helpful hint for developing computational fluency in addition. The accompanying illustration depicts a pattern to help readers visualize the strategy. The author has developed a resource that engages readers in a problem-solving environment.

Suggested UseNumber

PublisherScholastic Inc.

DistributorScholastic Canada Ltd.175 Hillmount RdMARKHAM ON L6C 1Z7(800) 268-3848(905) 887-7323Fax: (866) 346-1288Email: [email protected]: www.scholastic.ca



Jacket illustration by Harry Briggs from MATH APPEAL: MIND-STRETCHING MATH RIDDLES by Greg Tang. Scholastic Inc./Scholastic Press. Jacket art © Copryight © 2003 by Scholastic Inc. Used by permission.

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Suggested UseNumber

PublisherViking Penguin




ProducerWeston Woods


Price: $Free (within Saskatchewan PreK-12 schools)Length: 15 min.ID Number: N294


Math CurseAuthor: Scieszka, JonIllustrator: Smith, Lane

AnnotationWhen the math teacher, Mrs. Fibonnica, explains to her class that students can think of almost anything as a math problem, one young girl takes the statement much too seriously. Suddenly, she is cursed with thinking of even the most insignificant activities as math problems that she must solve. Finally, she has a dream that frees her from this obsessive behaviour – until the science teacher, Mr. Newton, explains that students can think of almost anything as a science experiment! The amusing colour illustrations by Lane Smith are sure to delight readers. Although this comical book has some American content, every page is packed with ideas and possibilities suitable for Saskatchewan classrooms.

The video program of the book is narrated by the author.

Cover Image from Scieszka, Jon, author and Smith, Lane, illustrator. Math Curse © 1995 Viking Penguin. Reproduced by permission.

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Math Matters: Understanding the Math You Teach. 2nd ed.Authors: Chapin, Suzanne and Johnson, Art

AnnotationThis resource assists teachers to understand mathematical concepts and skills presented in the curriculum. Sections of this resource provide information on number sense, computation, the four operations, fractions, decimals, percents, algebra, geometry, measurement, statistics, and probability. Following a brief introduction of each mathematical concept are activities designed to bridge theory and practice, a thorough discussion of the activities, and an explanation of the relationships to other mathematical strands. This resource prompts teachers to question students at a higher level, explain ideas with increased clarity, and build students’ knowledge of mathematical relationships.

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Suggested UsesNumberPatterns and RelationsShape and Space

ProducerNational Council of Teachers of Mathematics


Price: $Free (within Saskatchewan PreK-12 schools)Length: 15 min. each episode


Math Monsters SeriesAnnotationMath Monsters is an animated public television series that helps students learn mathematics at home, and in the classroom. The series was produced in co-operation with The National Council of Teachers of Mathematics to meet and support their national standards for K-2 math instruction. The series is comprised of eleven 15-minute episodes.

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(continued)

Title Annotation ID NumberArea After building a rocket, the Math Monsters must design a launch pad. They learn different

strategies to figure out how many fire-proof tiles are needed for the launch pad.TBA

Computers Binary Bill sends a brand new computer to the castle. The Monsters plug it in only to discover that Binary Bill has set certain challenges before they can log in.

V627

Counting and Symbolizing

The Monsters are invited to help Cousin Digit do an inventory of fish at his fish store. Because the fish move around, it is difficult to get an accurate count. A variety of counting strategies help the Monsters understand one-to-one correspondence.

V625

Data Collection When the Monsters decide to open a restaurant, they conduct a survey to collect the data they need to create a good menu. They must figure out how to combine their various representations of data to determine the favourite pancakes.

V614

Estimation The Math Monsters must pick and box all the gollywomple fruit in Aunt Two Lips orchard. The Monsters must use estimation strategies to help them count the gollywomple fruit.

TBA

Geometry The Monsters create an accurate model of their town by taking a look at the different shapes and sizes of the buildings. They explore concepts of perspective, encounter a triangular prism, cube, cylinder, and octagonal prism, and discover information about the characteristics of these shapes.

V637

Landmark Numbers and Number Line

The Monster’s castle is located on a highway between Positivity City and Negativityville. To help run their tow truck buisness, the Monsters develop a strategy to place Monster-meter signs at regular intervals. Students will learn about number line and the usefulness of landmark numbers

TBA

The Making of Tens

The Monsters decide to send gift boxes of fruit to their relatives. They want to send out boxes of 10 to each relative, and decide that no two boxes should contain the same combination of fruit. Addition and subtraction are used to help determine how many fruits of each kind are placed in each box.

V617

Mapping The Monsters learn that Binary Bill does not know how to get to the Monsters’ castle from his computer shop. A free form map is drawn and sent to Binary Bill by email. When Binary Bill asks for landmarks, the Monsters label all the streets in their neighbourhood.

V621

28 Mathematics 3

Math Monsters Series (continued) K 1 2 3 4 5 6 7 8 9 10 11 12

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Title Annotation ID NumberMental Math: Doubles and Their Neighbors

The Monsters’ plan to perform in a circus provides a context for exploring doubles and their neighbours.

V618

Number Conservation, Transformation & Equivalency

The Monsters decide to plant two gardens, each with the identical number of monster melon plants. Aunt Tulip delivers two piles, each containing the same number of seeds. One pile, however, is stacked high while the other is spread out. This provides an opportunity to explore number conservation and one-to-one correspondence.

V616

Patterns The Monsters learn how to recognize, describe, extend, and create patterns. One Monster starts and asks the next to continue – but what exactly makes a pattern, and how can it be extended? Other Monsters decorate their rooms with flip patterns, number patterns, and growth patterns.

V622

Standard and Non-Standard Measurement

To build an addition to their castle, the Monsters must inform the carpenters how big they want the new room to be. The Monsters progress from describing a room that is sort of long, to pacing it out, and figuring out the number of steps.

V615

Time The Monsters have only one kite to fly. In order to be fair, they need to take turns, and must decide how long each turn will last. They learn how to break up the time into shorter and quantifiable amounts.

V635

29Mathematics 3

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Mathematics Assessment: A Practical Handbook for Grades 3-5Editors: Stenhouse, Jean Kerr and Bush, William S.

AnnotationThis resource, from the Classroom Assessment for School Mathematics K-12 Series, is part of a series of six books that complement the National Council of Teachers of Mathematics (NCTM) Assessment Standards for School Mathematics. This teacher resource is an in-depth examination of assessment practices, and practical advice on how to select, develop, manage, and use assessment tools. It also features many sample rubrics, checklists, and observation forms.

30 Mathematics 3

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More Puddle Questions for Canadian Schools: Assessing Mathematical Thinking: Grade 3Authors: Ainslie, Elizabeth and Westley, Joan

Annotation(CAN) This teacher resource is a tool that may be used to help assess students’ mathematical thinking through problem-solving activities that are authentic and open-ended. The book contains 10 new Puddle Questions, adding to the eight investigations included in the original series. The questions focus on different mathematical concepts and cover all strands. Teacher support includes directions, suggested methods for scoring students’ work, holistic scoring rubrics for each problem, and ways to extend student learning. Samples of student work, representing low, medium, high, and excellent responses are provided.


Publisher/DistributorMcGraw-Hill Ryerson Limited300 Water StWHITBY ON L1N 9B6(800) 565-5758(905) 430-5000Fax: (800) 463-5885Email: [email protected]: www.mcgrawhill.ca



31Mathematics 3

My Full Moon Is SquareAuthor: Pinczes, Elinor J.Illustrator: Enos, Randall

AnnotationA frog, who is an avid reader, is disappointed when a moonless night disrupts his bedtime reading. The fireflies assist the frog in his plight by creating different square formations to illuminate the pond. Various mathematical equations illustrate the fireflies’ attempts to find a suitable arrangement for storytelling. The story is an opportunity to engage students in the investigation of multiplication arrays that create a square and the attributes of this geometric figure.

Suggested UseNumber

PublisherHoughton Mifflin Company

DistributorThomas Allen & Son Limited390 Steelcase Rd EMARKHAM ON L3R 1G2(800) 387-4333(905) 475-9126Fax: (800) 458-5504Email: [email protected]: www.thomasallen.ca/site/index.aspx

Price: $16.95 hdc.Pagination: unp.ISBN: 978-0-618-15489-0


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32 Mathematics 3

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Niktu: A Game of Algebraic Thinking: Level 1Authors: Greenes, Carole and Findell, Caro

AnnotationThis game offers a progressively more advanced review of algebraic concepts within a small group setting. The game allows students to achieve curriculum outcomes related to number sense and logical thinking.

Each playing card contains an algebraic equation with a missing numeral. Players take turns rolling a die and substituting the rolled number for the missing variable. They attempt to solve the equation before the timer runs out. Players compare answers, using their communication skills, and critical and creative thinking to justify and explain their answers. The resulting discussion also provides the teacher with a window into students’ thought processes and level of understanding.

Concepts addressed include order of operations, inverse operations, fractional values, and integers. Variations for each game are included.

Suggested UseNumber

Publisher/DistributorMcGraw-Hill Ryerson Limited300 Water StWHITBY ON L1N 9B6(800) 565-5758(905) 430-5000Fax: (800) 463-5885Email: [email protected]: www.mcgrawhill.ca

Price: $32.35 kitISBN: 978-1-4045-1361-7


33Mathematics 3

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Out of the Labyrinth: Setting Mathematics FreeAuthors: Kaplan, Robert and Kaplan, Ellen

AnnotationWritten as a guide for parents and educators, this book argues that math should be taught as the highest form of intellectual play rather than as a step-by-step acquisition of skills and facts. The authors emphasize that math is meant to be explored, and that it does not require special talent or ability.


Publisher/DistributorOxford University Press70 Wynford DrDON MILLS ON M3C 1J9(800) 387-8020(416) 441-2941Fax: (800) 665-1771Email: [email protected]: www.oupcanada.com/



Cover from Out of the Labyrinth: Setting Mathematics Free by Kaplan, Robert & Kaplan, Ellen (2007). Free permission. By permission of Oxford University Press, Inc.

34 Mathematics 3

Powerful Learning: What We Know about Teaching for UnderstandingAuthors: Darling-Hammond, Linda; Barron, Brigid; Pearson, David P.; Schoenfeld, Alan H.; Stage, Elizabeth K.; Zimmerman, Timothy D.; Cervetti, Gina N.; and Tilson, Jennifer L.

AnnotationThe authors provide a number of teaching practices including project-based learning, co-operative learning, and performance-based assessment, as well as instructional strategies in literacy, mathematics, and science.

Online videos at www.edutopia.org demonstrate how modelling helps to generate student understanding.

There are examples that show how educators can enable students to think critically, transfer skills and knowledge, and be flexible problem solvers, both inside and outside the classroom.

The book includes a table of contents, an appendix, a bibliography, and a subject index.

Note: This resource has also been recommended to support the Kindergarten curriculum and science curriculum at the Elementary Level.


PublisherJossey-Bass

DistributorJohn Wiley & Sons Canada Ltd.6045 Freemont BlvdMISSISSAUGA ON L5R 4J3 (800) 567-4797Fax: (800) 565-6802Email: [email protected]: http://ca.wiley.com/WILEYCDA/



Powerful Learning: What We Know about Teaching for Understanding by Linda Darling-Hammond, et al. © 2008, Jossey-Bass. “Reprinted with permission of John Wiley & Sons, Inc.”

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http://www.edutopia.org

35Mathematics 3

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So You Have to Teach Math?: Sound Advice for K-6 Teachers Authors: Burns, Marilyn and Silbey, Robyn

AnnotationThis resource is a source of support for teachers of mathematics. The author supplies practical advice and guidance for frequently asked questions related to the teaching of mathematics. Methods for providing effective instruction and establishing a positive classroom environment are outlined. Sample chapter topics focus on effective calculator usage, connecting with parents, and leading class discussions.

36 Mathematics 3

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Suggested UseNumber

Publisher/DistributorScholastic Canada Ltd.175 Hillmount RdMARKHAM ON L6C 1Z7(800) 268-3848(905) 887-7323Fax: (866) 346-1288Email: [email protected]: www.scholastic.ca



Spaghetti and Meatballs for All!: A Mathematical Story. 1st ed.Author: Burns, MarilynIllustrator: Tilley, Debbie

AnnotationMr. and Mrs. Comfort have arranged eight tables and thirty-two chairs to seat their invited relatives at the family reunion. Pandemonium erupts as each new group of guests suggests its own ideas for seating, and subsequently alters the table arrangements. As the dining room is reconfigured into tables for six, eight, and twelve people, the guests continue to dispute over inadequate seating and the placement of silverware. Eventually, the tables are rearranged in Mrs. Comfort’s original seating plan. An appended section provides an explanation of the story’s mathematical concepts and suggestions for extending the study of measurement.

Illustration by Debbie Tilley from SPAGHETTI AND MEATBALLS FOR ALL! A MATHEMATICAL STORY by Marilyn Burns. A Marilyn Burns Brainy Day Book published by Scholastic Inc./Scholastic Press. Copyright © 1997 by Marilyn Burns Education Associates. Used by permission of Scholastic Inc.

37Mathematics 3

Teaching Arithmetic SeriesAuthors: Wickett, Maryann and Burns, Marilyn

AnnotationThis series presents a number of lessons that enhance students’ problem solving, estimation, and computation skills. Each lesson provides a lesson overview, the required materials, the procedure, and possible extension activities. Through investigations and discussions, students develop an understanding of the properties of the functions being explored. Lessons explore multiple strategies for computation, learning the basic facts, and identifying a reasonable estimate. The resources also include blackline masters, assessment strategies, and samples of student work.




Copyright: 2001-2005Year Recommended: 2007

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Title ISBN PriceLessons for Addition and Subtraction: Grades 2-3

978-0-941355-32-2 $33.25 pbk.

Lessons for Extending Place Value: Grade 3

978-0-941355-57-5 $30.76 pbk.

Lessons for Introducing Division: Grades 3-4

978-0-941355-42-1 $34.75 pbk.

Lessons for Introducing Multiplication: Grade 3

978-0-941355-41-4 $29.70 pbk.

38 Mathematics 3

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Teaching Mathematics through Problem Solving: Prekindergarten-Grade 6 Editor: Lester, Frank K., Jr.

AnnotationThis volume and its companion, is a professional research-based resource that promotes a problem-solving approach to mathematics instruction. This approach engages students in making sense of problematic tasks in which mathematical concepts are embedded. The writers address issues and perspectives related to this approach (including the role of technology), and provide examples of its use in the classroom.

39Mathematics 3

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Teaching Mathematics Vocabulary in Context: Windows, Doors, and Secret PassagewaysAuthor: Murray, Miki

AnnotationThis professional resource for teachers focuses on strategies to help students develop a deeper understanding of mathematical language, and to enable them to use it when describing mathematical concepts and relationships across the strands. Concrete examples illustrate how teachers can promote mathematical understanding and reflection through discourse, writing, and the use of vocabulary in context. Examples include the use of reflection, journals, homework, and self-assessment.


PublisherHeinemann Educational Books




40 Mathematics 3

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Thinking Mathematically: Integrating Arithmetic and Algebra in Elementary SchoolAuthors: Carpenter, Thomas P.; Franke, Megan Loef; and Levi, Linda

AnnotationThe emphasis of this resource is on teaching for deep understanding of mathematical concepts. Using classroom examples, teachers are shown how to extend students’ thinking in order to help them integrate and connect new knowledge with previous understanding. The authors show how relational thinking, making and representing conjectures, justification, and proof have application in mathematics classrooms. Teacher commentaries provide realistic examples. End-of-chapter challenges offer ideas for problems and activities in class.






41Mathematics 3

The Warlord’s AlarmAuthor: Pilegard, Virginia WaltonIllustrator: Debon, Nicolas

AnnotationChuan and Jing Jing come up with an innovative way of measuring time to ensure that they will be able to wake their warlord before sunrise and arrive at the emperor’s gates as they open in the morning.

Suggested UseShape and Space

PublisherPelican Publishing Company, Inc.

DistributorFitzhenry and Whiteside Ltd.195 Allstate PkwyMARKHAM ON L3R 4T8(800) 387-9776(905) 477-9700Fax: (800) 260-9777Email: [email protected]: www.fitzhenry.ca



From The Warlord’s Alarm text by Virginia Walton Pilegard, illustrations by Nicolas Debon, text © 2006 by Virginia Walton Pilegard, illustrations © 2006 by Pelican Publishing Company, Inc. used by permission of the publisher, Pelican Publishing Company, Inc.

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42 Mathematics 3

The Warlord’s BeadsAuthor: Pilegard, Virginia WaltonIllustrator: Debon, Nicolas

AnnotationSet in the palace of a powerful Chinese warlord, Chuan’s father is entrusted with counting the warlord’s treasures. Father becomes increasingly worried when he is unable to accurately count the valuable objects and exotic spices. As accusations of thievery arise, Father realizes the need for a different counting method. Using jade beads, Chuan devises a rudimentary abacus that provides an efficient and accurate account. A historical note that traces the invention of the abacus and instructions for creating an abacus are included.

The study guide is available at www.pelicanpub.com/SGuides/Beads_guide.pdf. In addition to mathematics, there are suggested activities to support other subject areas.

Suggested UseNumber


DistributorFitzhenry and Whiteside Ltd.195 Allstate PkyMARKHAM ON L3R 4T8(800) 387-9776(905) 477-9700Fax: (800) 260-9777Email: [email protected]: www.fitzhenry.ca



From The Warlord’s Beads text by Virginia Walton Pilegard, illustrations by Nicolas Debon, text © 2001 by Virginia Walton Pilegard, illustrations © 2001 by Pelican Publishing Company, Inc. used by permission of the publisher, Pelican Publishing Company, Inc.

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http://www.pelicanpub.com/SGuides/Beads_guide.pdf

http://www.pelicanpub.com/SGuides/Beads_guide.pdf

43Mathematics 3

The Warlord’s PuzzleAuthor: Pilegard, Virginia WaltonIllustrator: Debon, Nicolas

AnnotationThe origin of the tangram puzzle is described through this Chinese tale. A warlord breaks the artist’s gift of a blue tile into seven geometrical pieces and threatens a cruel punishment if the fragments cannot be reassembled. A contest is announced to determine who can reconstruct the pieces into a square. To the astonishment of the contestants, a peasant boy provides the solution.

The study guide is available at www.pelicanpub.com/SGuides/Puzzle_guide.pdf. In addition to mathematics, there are suggested activities to support other subject areas.

Suggested UseShape and Space


DistributorFitzhenry and Whiteside Ltd.195 Allstate PkwyMARKHAM ON L3R 4T8(800) 387-9776(905) 477-9700Fax: (800) 260-9777Email: [email protected]: www.fitzhenry.ca



From The Warlord’s Puzzle text by Virginia Walton Pilegard, illustrations by Nicolas Debon, text © 2000 by Virginia Walton Pilegard, illustrations © 2000 by Pelican Publishing Company, Inc. used by permission of the publisher, Pelican Publishing Company, Inc.

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http://www.pelicanpub.com/SGuides/Puzzle_guide.pdf

http://www.pelicanpub.com/SGuides/Puzzle_guide.pdf

44 Mathematics 3

Young Mathematicians at Work: Constructing Number Sense, Addition, and SubtractionAuthors: Fosnot, Catherine Twomey and Dolk, Maarten

AnnotationA collaborative inservice project, Mathematics in the City, was undertaken by Catherine Fosnot and Maarten Dolk. A three-volume set describes what they learned after several years of intensive study in numerous urban classrooms. This particular volume, Young Mathematicians at Work, focuses on young children between the ages of four and eight as they construct a deep understanding of number and the operations of addition and subtraction. Fosnot and Dolk provide a description of development, with a focus on big ideas, progressive strategies, and emerging models.






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45Mathematics 3

Digital ResourcesThe Ministry of Education is also planning to post recommended digital resources on its new website, Saskatchewan Curriculum – Education: The Future within Us.

Current Internet sites that provide information for mathematics educators follow:

InfoTrac at www.education.gov.sk.ca/Databases-for-schools

(CORE) InfoTrac contains electronic databases of more than 2,300 full-text magazines, journals, and reference sources. Examples of databases include Junior Edition, Student Edition, General Reference Centre Gold, and CPI.Q (Canadian Periodicals).

Math Central at http://mathcentral.uregina.ca/index.php

(CORE) Math Central is a clearinghouse of mathematical resources for students and teachers.

National Council of Teachers of Mathematics at www.nctm.org

(CORE) The National Council of Teachers of Mathematics (NCTM) is committed to promoting excellence and innovation in mathematics teaching and learning for all. It publishes the journals Teaching Children Mathematics, Mathematics: Teaching in the Middle School, and Mathematics Teacher.

National Library of Virtual Manipulatives at http://nlvm.usu.edu/en/nav/vLibrary.html

(CORE) This website provides educators with electronic resources to augment student learning in the areas of shape and space, number, algebra, measurement, and data analysis and probability.

http://www.education.gov.sk.ca/Databases-for-schools

http://mathcentral.uregina.ca/index.php

http://www.nctm.org

http://nlvm.usu.edu/en/nav/vLibrary.html

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