Mathematics 5 · Can You Count to a Googol? Author/Illustrator: Wells, Robert E. Annotation Fascination with large numbers is explored in this counting book. The text begins with

5

2009Saskatchewan Additional Learning Resources

Mathematics

iMathematics 5

Mathematics 5

Additional Learning Resources

Prepared by:

Curriculum and E-Learning Branch

Ministry of Education

2009 (Updated 2011)

ii Mathematics 5

Mathematics: additional learning resources 5 ISBN 978-1-897211-42-4 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 5

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

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

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

Digital Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

vMathematics 5

Foreword

This list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support the curriculum, Mathematics 5. 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 5. 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.

viiMathematics 5

ManipulativesItem Suggested Uses (Strands) Suggested Quantity

Alge-tiles Patterns and Relations Number

6-10 sets per classroom (approximately 1 set per 3 students)

Alge-tiles Patterns and Relations 1 set per 5 students

1 overhead set

Balance Patterns and Relations 1 per 2 students

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

Number 1 clear view for teacher use

1 class set of blocks and mats

3 stamp sets per class

Calculator (4 operations) Across strands 1 per student

Centimeter cubes Shape and Space 5 sets per class

Colour tiles (including tiles for use with overhead) Shape and Space Number (Fractions)

At least 40 per student

Cuisenaire rods Number 1 set per 2 students

Fraction materials (circles, strips, pattern and fraction blocks, fraction rings, and fraction grids)

Number 4 sets of fraction blocks per class

Mixture of fraction circles, strips, rings, and grids so that there is 1 per student

Linking cubes Number Patterns and Relations

3 large sets per class

Pattern blocks (including overhead and wooden) Number Patterns and Relations

1 set per 5-6 students

Money (coins, including loonies and toonies, bills, and stamps)

Number (skip counting, decimals)

10 sets per class

Counters - Overhead - 2-sided

Number One set of overhead counters per class

1 set of 2-sided counters per 2 students

D-sticks Shape and Space 1 set per 2 students

Dice - 4-sided, 6-sided (0-5 and 1-6), 8-sided, 12-sided, 10-sided, and 20-sided - Overhead, blank, fraction, dots, numerals, words

Number 2 of each number of sides per 2 students

At least 1 pair of overhead dice per class

1 set of blank dice per class

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

Shape and Space 1 ruler per student

1 measuring tape per 4 students

1 metre stick per 4 students

Power polygons Shape and Space 1 set per 4 students

Everyday 3-D objects Shape and Space

Patty paper Shape and Space 1 package per class

Grid paper (including transparent) Number Patterns and Relations Shape and Space

Mira/Reflect view Shape and Space 1 per 2 students

3-D geometric shapes - Power solids

Shape and Space 5 sets per class

1Mathematics 5

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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PublisherPutnam Publishing Group

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

Price: $13.50 pbk.Pagination: 40 p.ISBN: 978-06-9811753-2


Anno’s Mysterious Multiplying JarAuthors: Anno, Masaichiro and Anno, Mitsumasa

AnnotationAmazing numerical happenings help to introduce factorials to elementary students. First pictorially, then with the actual numbers and symbols, students are shown the amazing power of expanding numbers.

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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 Best of Times: Math Strategies That MultiplyAuthor: Tang, GregIllustrator: Briggs, Harry

AnnotationPoems and illustrations highlight strategies for multiplying numbers from zero to 10. The text provides strategies for determining products, using repeated doubling, annexing zeros, skip counting, and understanding the properties of one and zero. The computer-generated illustrations of animals in hilarious situations help convey and clarify concepts. This resource develops an understanding of multiplication rather than focusing on a repetition and memorization approach.

Jacket art by Harry Briggs from THE BEST OF TIMES: MATH STRATEGIES THAT MULTIPLY by Greg Tang. Scholastic Inc./Scholastic press. Jacket art © 2002 by Scholastic Inc. Used by permission.

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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.

5Mathematics 5

Can You Count to a Googol?Author/Illustrator: Wells, Robert E.

AnnotationFascination with large numbers is explored in this counting book. The text begins with one and increases by powers of 10 to a googol, the number represented by one, followed by 100 zeros. Each new number is represented by ink-and-acrylic illustrations of familiar objects that will help students visualize big numbers. The author includes a brief history of the googol. This resource develops understanding of place value positions, and mentally calculating products by annexing zeros. Please note that the text contains some Imperial measurements, but this is not a limiting factor.

Suggested UseNumber

PublisherAlbert Whitman & Co.

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



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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 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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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 other 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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PublisherTricycle Press

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

Price: $17.99 hdc.Pagination: 57 p.ISBN: 978-1-883672-58-4


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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Suggested UseGeneral

Publisher/DistributorBedford, Freeman & Worth Publishers4B Cedarbrook DrCRANBURY NJ 08512(866) 843-3715Fax: (609) 409-0297Email: [email protected] Website: www.bwfpub.com

Price: $82.00 U.S. hdc.Pagination: 780 p.ISBN: 978-0-716-74361-3


Geometry: Seeing, Doing, Understanding. 3rd ed.Author: Jacobs, Harold R.

AnnotationJacobs allows students to use guided discovery to develop geometric intuition. The text includes examples and exercises that are relevant to students. Students will use inductive and deductive reasoning through the study of geometry. Jacobs has structured the materials so that students discover the ideas for themselves. The inclusion of illustrations, cartoons, and anecdotes will hold student interest.

The text includes a table of contents, a glossary, a formulary, postulates and theorems, answers to selected exercises, and an index.

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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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Good Questions for Math Teaching: Why Ask Them and What to Ask, Grades 5-8Authors: Schuster, Lainie and Anderson, Nancy Canavan

AnnotationThis book continues from the previous title (K-6) to promote open-ended mathematical questions. Part One explores the nature of good questioning. Part Two provides a brief description of how to use the book to support mathematical instruction and investigation. Part Three consists of numerous questions to use in math class that help students to explore number relationships, multiplication and proportional reasoning, fractions, decimals, percents, geometry, algebraic thinking, data analysis and probability, and measurement.

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



How Many Seeds in a Pumpkin?Author: McNamara, Margaret Illustrator: Karas, G. Brian

AnnotationMr. Tiffin brings three pumpkins to class, one large, one medium, and one small pumpkin. Robert guesses that the largest pumpkin has one million seeds; Elinor thinks that the medium pumpkin has 500 seeds; and Anna estimates that the little pumpkin contains 22 seeds. Charlie does not guess at all. The students think of different groupings to count the seeds in the pumpkins. The class learns that being the largest pumpkin does not mean that it contains the most pumpkin seeds.

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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

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



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 the folly of his 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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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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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 Homework That Counts: Grades 4-6Author: Raphel, Annette

AnnotationCreative homework assignments or extension activities are the focus of this teacher’s resource. The interactive activities have been divided into four categories: to provide practice, to prepare a foundation for upcoming mathematical concepts, to extend taught concepts, and to emphasize creativity. The premise of the activities is to encourage critical and creative thinking rather than the practice of a computational skill through a series of questions on a worksheet. Literature selections and communicative activities are incorporated into several of the activities. This resource includes a table of contents, samples of student work, and a bibliography.

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A Mathematical Passage: Strategies for Promoting Inquiry in Grades 4-6 Authors: Whitin, David J. and Cox, Robin

AnnotationThis book provides a framework for developing critical thinking and inquiry learning in the exploration of mathematical concepts. It includes examples of activities that facilitate interdisciplinary connections, suggestions for extending students’ mathematical thinking through conversation, strategies for organizing math workshops for students, and ideas for how to use math journals as assessment tools to gauge students’ understanding of mathematical concepts.


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



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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.

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Mental Math in the Middle Grades: Blackline MastersAuthors: Hope, Jack A.; Reys, Barbara J.; and Reys, Robert E.

Annotation(CAN, WNCP) Second in a series of three books on the topic of mental mathematics, this resource extends the skills developed in the primary edition by providing more challenging calculations. Perforated pages include teacher pages, power-builder selections, and review pages. The resource focuses on calculations with whole numbers using the basic operations of addition, subtraction, multiplication, and division. Included are a table of contents and an answer key.

Suggested UseNumber

PublisherDale Seymour Publications




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More Puddle Questions for Canadian Schools: Assessing Mathematical Thinking: Grade 5Authors: 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



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Publisher/DistributorNational Council of Teachers of English1111 West Kenyon RdURBANA IL 61801-1096(217) 328-3870Fax: (217) 328-9645Email: [email protected]: www.ncte.org



New Visions for Linking Literature and MathematicsAuthors: Whitin, David J. and Whitin, Phyllis

AnnotationThis resource provides ideas for integrating literature and mathematics within a problem-solving context. The authors identify criteria for selecting and assessing math-related literature, while keeping curriculum outcomes in mind. In addition, they suggest ways to handle subject integration, classroom management, and adaptations to meet student needs. This teacher resource includes an annotated bibliography of children’s literature. The bibliography features fiction and non-fiction titles that may be used as starting points for introducing mathematical concepts.

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Niktu: A Game of Algebraic ThinkingAuthors: Greenes, Carole and Findell, Caro

AnnotationEach level of this game offers a progressively more advanced review of algebraic concepts within a small group setting. The games allow 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 kit


Title Grades ISBNLevel 1 3-6 978-1-4045-1361-7

Level 2 5-8 978-1-4045-1362-4

27Mathematics 5

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.

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A Place for Zero: A Math AdventureAuthor: LoPresti, Angeline SparagnaIllustrator: Hornung, Phyllis

AnnotationIn the land of Digitaria, a weepy Zero laments that he has no place among the other digits. As Zero searches for his value, he learns of his additive and multiplicative properties. Humorous mathematical puns add to the colourful illustrations of legged numbers.

Suggested UseNumber

PublisherCharlesbridge Publishing, Inc.




A Place for Zero: A Math Adventure by Angeline Sparagna LoPresti and Phyllis Hornung, illus. © 2003. Used with permission by Charlesbridge Publishing, Inc.

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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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Sir Cumference and the Great Knight of Angleland: A Math AdventureAuthor: Neuschwander, CindyIllustrator: Geehan, Wayne

AnnotationTo earn his knighthood, Radius embarks on a quest to rescue the imprisoned King Lell. In his adventures beyond the Mountains of Obtuse, the hero employs measurement skills to navigate a labyrinth of angles, and solve cryptic geometric puzzles. The gift of a circular medallion (a protractor) proves invaluable as Radius realizes its ability to measure the angles. The inclusion of a circular medallion (protractor) allows students to interact with the story.

Suggested UseShape and Space




Copyright: 2001Year Recommeded: 2003

Sir Cumference and the Great Knight of Angleland: A Math Adventure by Cindy Neuschwander and Wayne Geehan, illus. © 2001. Used with permission by Charlesbridge Publishing, Inc.

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Sir Cumference and the Isle of Immeter: A Math AdventureAuthor: Neuschwander, CindyIllustrator: Geehan, Wayne

AnnotationPer visits Sir Cumference, Lady Di, and Radius, where she learns to play the game, Inners and Edges. While playing the game, Sir Cumference tells the young people about the Isle of Immeter. The next morning, Radius and Per decide to explore the isle. The castle on the isle is similar to a giant Inners and Edges game. They use strategies to escape the sea serpent and figure out the secret of the isle. Students will learn to calculate perimeter and the area of a circle.





Copyright: 2003Year Recommeded: 2004

Sir Cumference and the Isle of Immeter: A Math Adventure by Cindy Neuschwander and Wayne Geehan, illus. © 2006. Used with permission by Charlesbridge Publishing, Inc.

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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.

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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



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.

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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

Title ISBN PriceLessons for Extending Multiplication: Grades 4-5

978-0-941355-31-5 $33.25 pbk.

Lessons for Introducing Fractions: Grades 4-5

978-0-941355-33-9 $33.25 pbk.

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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.

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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




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Teaching NumeracyAnnotationThis video program shows educators how to encourage students to learn and develop their numeracy skills. The activities are designed with a clear purpose, helping students to explore and think for themselves, share strategies, and gain understanding. Opportunities are presented for students to share their experiences and to learn from each other.


PublisherSeven Dimensions

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

Price: $Free (within Saskatchewan PreK-12 schools)Length: 16 min.ID Number: TBA

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

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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.


PublisherHeinemann Educational Books




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The Tortoise Who Bragged: A Chinese Tale with TrigramsAuthor: Franco, BetsyIllustrator: Perks, Anne-Marie

AnnotationThis well-written Chinese tale is about a tortoise who learned the hard way that it is not wise to brag about oneself. Within the story are pictures for the students to construct using the plastic trigram puzzle that is provided. The watercolour illustrations support the text.


Publisher/DistributorStokes Publishing Company1292 Reamwood AveSUNNYVALE CA 94089(408) 541-9145Fax: (408) 541-9149Email: [email protected]: www.stokespublishing.com



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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.

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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 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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Digital ResourcesThe Ministry of Education is also planning to post recommended websites 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

Documents

Mathematics 5 · Can You Count to a Googol? Author/Illustrator: Wells, Robert E. Annotation Fascination with large numbers is explored in this counting book. The text begins with