2007 Saskatchewan Additional Learning Resources

Mathematics

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Mathematics 1 Additional Learning Resources

Prepared by: Curriculum and E-Learning Branch Ministry of Education 2007 (Updated 2011)

Mathematics 1

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Mathematics: additional learning resources 1 ISBN 978-1-926841-49-4 1. Mathematics – Study and teaching (Elementary) – Bibliography. I. Saskatchewan. Ministry of Education. Curriculum and E-Learning. Science and Technology Unit. 016.37272 372.72016 All rights for images of books or other publications are reserved by the original copyright owners.

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Mathematics 1

Table of Contents Foreword. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Manipulatives. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Print, Audio-visual, and Other Resources. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Digital Resources . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41

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Foreword

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his list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support the curriculum, Mathematics 1. 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 1. 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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Manipulatives Item

Suggested Uses (Strands) Suggested Quantity

Natural material such as rocks, stones, shells of all sizes, leaves, twigs, branches, flower petals, feathers, pinecones, and pods

All

Various

Open-ended material such as beads, buttons, All glass pebbles, tiles, marbles, ribbon, fabric samples, spools of thread, and poles with pulleys

Various

Attribute blocks

4 or 5 sets of the small-sized attribute blocks per class

- Sets of small-sized blocks - Sets of large-sized blocks Balance

Patterns and Relations Shape and Space

1 set of the large-sized attribute blocks per class Patterns and Relations Shape and Space

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

1 per 2 or 3 students Note: Balances are essential to develop the concepts of equality and inequality that lead to pre-algebra skills and concepts. 1 clear view set for teacher use (100 units, 20 tens, and 10 hundreds of both colours) 1 class set of blocks (100 ones, 20 tens, and 3-4 hundreds per student) 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 2 or 3 students

Linking cubes

Number Patterns and Relations Shape and Space

2 large sets per class

Colour tiles (including tiles for use with overhead)

Number Patterns and Relations Shape and Space

At least 50 per 2 or 3 students per colour and some for replacement

Clay, play dough, and other similar materials

Number Patterns and Relations Shape and Space

Various, as required

Containers for capacity (water, sand, rice, etc.)

Shape and Space

A large variety of shapes and sizes

Counters (both purchased and natural)

Number Patterns and Relations

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

- Open-ended and natural materials placed in the environment - Transparent and multi-coloured - 2-sided

Small objects – depends on type and use

(continued)

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Manipulatives (continued) Item

Suggested Uses (Strands) Suggested Quantity

Dice

Number

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

At least 2 of each of 6-sided and 10-sided dice per student and some for replacement A few 4-sided, 12-sided, and 20-sided dice for exploration and games

Digital camera

Number Patterns and Relations Shape and Space

1 easy-to-use camera per classroom

Dominos

Number

1 set per 2 students 1 overhead set

Money (coins, including loonies and toonies, 5 and 10 dollar bills)

Number (counting coins, skip At least 1 large set with a tray for sorting, counting) exploring, and problem solving

Overhead projector

Number Patterns and Relations Shape and Space

1 per classroom

Pattern blocks (including overhead, wooden, magnetic, stickers, or stamps)

Number Patterns and Relations Shape and Space

2 large class sets

Playing cards

Number Patterns and Relations

At least 15 decks with face cards removed

Shoelaces, paper or cloth bags, trays, sorting mats, sturdy paper plates, etc.

Number Patterns and Relations

2 long shoe laces per student. These are used to create sets.

Note: Wooden pattern blocks are recommended for student’s use. Plastic and wooden blocks do not work well together.

Class sets of cloth bags, trays, sorting mats, sturdy paper plates, etc Stamps

Number Patterns and Relations

Number depends on type and use

Ten frames

Number

1 ten-frame mat per student 1 mat with at least 5 ten-frames per student Overhead transparencies

3-D geometric shapes - Geoblocks - Volumetric solids Wooden blocks

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Patterns and Relations Shape and Space

5 sets per class

Shape and Space (sorting)

At least 3 sets of commerical building blocks

Mathematics 1

Print, Audio-visual, and Other Resources Anno’s Counting Book Author/illustrator: Anno, Mitsumasa Annotation

This classic wordless picture book illustrates the concept of counting from one to twelve and shows the development of a village over several years. Included in the margin of each double-page spread are cubes representing the quantity and the numeral for the number to be counted. This is a challenging counting book as the objects are not always grouped together. Note: This resource has also been recommended to support the Prekindergarten and Kindergarten curriculum.

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Suggested Use Number

Publisher

T. Y. Crowell

Distributor

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

Price: $23.99 hdc. $8.99 pbk.

Pagination: 32 p. ISBN: 978-0-06-443315-0 hdc.

978-0-06-443123-1 pbk.

Copyright: 1975 Year Recommended: 1992

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Patterns and Relationships Shape and Space

Producer

Nutmeg Media

Bees, Snails, & Peacock Tails Annotation

In this DVD program, nature’s patterns and shapes are explored. The bee builds the hive using hexagons. The diamond back rattlesnake and copperhead both have repeating shapes on their bodies. Geese fly in a v-formation so they do not get tired. Some of the other animals featured in the book are the spider, the peacock, and the puffer fish. At the end of the program are additional facts about the animals.

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Distributor

ROVER (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: 10 min. ID Number: TBA Copyright: 2009 Year Recommended: 2011 Expiry Date: July 1, 2016

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Suggested Use Number

Publisher

Margaret K. McElderry

Birdsongs Author: Franco, Betsy Illustrator: Jenkins, Steve Annotation

Franco explores birdsongs and behaviour. Counting backwards, the woodpecker pecking 10 times as he searches for food. The hummingbird is the last bird presented with its one high-pitched peep. Facts about the birds found in the book are provided at the back of the book. The DVD program is adapted from the book and narrated by the author.

Distributor

Simon & Schuster Children’s Publishing 100 Front St RIVERSIDE NJ 08075 (800) 268-3848 Fax: (888) 849-8151 Email: [email protected] Website: www.simonandschuster.ca

Price: $19.99 hdc. Pagination: 40 p. ISBN: 978-0-68987-777-3 Copyright: 2007 Year Recommended: 2011 Producer

Nutmeg Media

Distributor

ROVER (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: 10 min. ID Number: TBA Copyright: 2009 Year Recommended: 2011 Expiry Date: July 1, 2016

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Producer

Spoken Arts Inc.

Blockhead: The Life of Fibonacci Annotation

In 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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Distributor

ROVER (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: 9 min. ID Number: TBA Copyright: 2009 Year Recommended: 2010 Expiry Date: July 1, 2016

Mathematics 1

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Professional Resource

Publisher/Distributor

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

Annotation

Emphasizing 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.

Mathematics 1

National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 Email: [email protected] Website: www.nctm.org

Price: $28.95 U.S. pbk. Pagination: 99 p. ISBN: 978-0-87353-529-8 Copyright: 2002 Year Recommended: 2004

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Suggested Uses

Number Shape and Space Statistics and Probability

Publisher/Distributor

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

Using 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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National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 Email: [email protected] Website: www.nctm.org

Price: $36.95 U.S. pbk. Pagination: 282 p. ISBN: 978-0-87353-553-3 Copyright: 2004 Year Recommended: 2006

Mathematics 1

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Suggested Uses

Number Shape and Space Statistics and Probability

Publisher

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

Presenting 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.

Corwin Press, Inc.

Distributor

Sage Publications, Inc. 2455 Teller Rd THOUSAND OAKS CA 91320 (805) 499-9774 (800) 818-7243 Fax: (800) 583-2665 Email: [email protected] Website: 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.

Copyright: 2003 Year Recommended: 2004

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Suggested Use Number

Publisher

Puffin Books

From One to One Hundred Author/Illustrator: Sloat, Teri Annotation

Students have plenty of opportunities to practise counting in this search-and-find picture book. Beginning with the number one, readers scour the picture looking for specific objects. Each object appears in the illustration the same number of times as the featured number on the page. At 10, skip counting begins – 20, 30, 40, 50, 60, 70, 80, 90, and 100. Readers count numerous objects on each page. For example, the number 80 features 80 fish, 80 coins, 80 shells, 80 chain links, and 80 underwater plants, all contributing to a colourful underwater scene for readers to explore.

Distributor

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

Price: $9.99 pbk. Pagination: 28 p. ISBN: 978-0-14-055643-8 Copyright: 1995 Year Recommended: 2005

Cover Image from Sloat, Teri, author/illus. From One to One Hundred © 1995 Puffin. Reproduced by permission.

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Suggested Use Number

Publisher

Tricycle Press

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

This 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.

Distributor

Random House of Canada Limited 2775 Mathemson Blvd E MISSISSAUGA ON L4W 4P7 (888) 523-9292 Fax: (888) 562-9924 Email: [email protected] Website: www.randomhouse.ca

Price: $17.99 hdc. Pagination: 57 p. ISBN: 978-1-883672-58-4 Copyright: 1998 Year Recommended: 2001

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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Professional Resource

Publisher

Math Solutions Publications

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

The 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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Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $19.07 pbk. Pagination: 103 p. ISBN: 978-0-941355-51-3 Copyright: 2002 Year Recommended: 2003

Mathematics 1

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Publisher Albert Whitman & Company

How Many Donkeys?: An Arabic Counting Tale Authors: MacDonald, Margaret Read and Taibah, Nadia Jameel Illustrator: Liddiment, Carol

Annotation Jouha loads his donkey with dates to sell at the market. He asks his son to help him count the 10 donkeys. As Jouha travels to the market, he makes an error in counting his donkeys. Each time he stops to count the donkeys, it is a different number. Students will enjoy solving Jouha’s mistake and learning Arabic.

Distributor

Fitzhenry & Whiteside Limited 195 Allstate Pkwy MARKHAM ON L3R 4T8 (800) 387-9776 Fax: (800) 260-9777 Email: [email protected] Website: www.fitzhenry.ca

Price: $21.95 hdc. Pagination: 32 p. ISBN: 978-0-8075-3424-3 Copyright: 2010 Year Recommended: 2011

Included in the book are Arabic numerals, how Arabic is written, and a pronunciation key.

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Suggested Use

Patterns and Relations

Publisher

Houghton Mifflin Harcourt

Just a Little Bit Author: Tompert, Ann Illustrator: Munsinger, Lynn, M. Annotation

When an elephant and a mouse try to play on a seesaw, they need help from a vast number of animal friends to balance the scales. This book will provide children the opportunity to explore the concept of balance.

Distributor

Thomas Allen & Son Limited 390 Steelcase Rd E MARKHAM ON L3R 1G2 (905) 475-9126 (800) 387-4333 Fax: (800) 458-5504 Email: [email protected] Website: www.thomasallen.ca/site/index.aspx

Price: $8.95 hdc. Pagination: 32 p. ISBN: 978-0-395-77876-0 Copyright: 1996 Year Recommended: 2007

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Professional Resource

Publisher

Math Solutions Publications

Lessons for Algebraic Thinking: Grades K-2 Authors: Wickett, Maryann; Kharas, Katharine; and Burns, Marilyn

Annotation

This 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.

Mathematics 1

Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $35.01 pbk. Pagination: 256 p. ISBN: 978-0-941355-47-6 Copyright: 2002 Year Recommended: 2003

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Professional Resource

Publisher

High/Scope Educational Research Foundation

Literature-based Workshops for Mathematics Ideas for Active Learning, Grades K-2 Authors: Morrison, Kathy; Dittrich, Tina; and Claridge, Jill.

Annotation

This resource links mathematical concepts with children’s literature. The workshops focus on geometry, counting, seriation, addition, money, and measurement. Each workshop features a teacherdirected lesson to introduce the concept. Subsequent workshop activities employ an experiential learning approach as students apply and share their newfound knowledge through visual art, research, and writing. This resource also features recommendations to assess student learning and to extend the lesson to other subjects. This is a helpful resource for integrating performance tasks and cooperative learning in the primary classroom.

Distributor

Wintergreen Learning Materials 14 Connie Cr, Unit 10 CONCORD ON L4K 2W8 (800) 268-1268 (905) 669-2815 Fax: (800) 567-8054 Email: [email protected] Website: www.wintergreen.ca

Price: $54.95 pbk. Pagination: 208 p. ISBN: 978-1-57379-167-0 Copyright: 2002 Year Recommended: 2003

From LITERATURE-BASED WORKSHOPS FOR MATHEMATICS IDEAS FOR ACTIVE LEARNING, GRADES K-2 by Morrison, Kathy, Dittrich, Tina and Claridge, Jill. Copyright © 2002. By permission of HighScope Teacher Education Centre at Sheridan.

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Professional Resource

Publisher

The New Press

Math and Science across Cultures: Activities and Investigations from the Exploratorium Authors: Bazin, Maurice and Tamez, Modesto Annotation

This 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 contentspecific 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.

Mathematics 1

Distributor

University of Toronto Press 5201 Dufferin St DOWNSVIEW ON M3H 5T8 (800) 565-9523 (416) 667-7791 Fax: (800) 221-9985 Email: [email protected] Website: www.utpress.utoronto.ca/

Price: $32.95 pbk. Pagination: 176 p. ISBN: 978-1-56584-541-1 Copyright: 2002 Year Recommended: 2005

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Professional Resource

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Math Solutions Publications

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

This 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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Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $41.39 pbk. Pagination: 103 p. ISBN: 978-0-941355-71-1 Copyright: 2006 Year Recommended: 2010

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Math Monsters Series Annotation

Math 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.

Number Patterns and Relations Shape and Space

Producer

National Council of Teachers of Mathematics

Distributor

ROVER (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: 15 min. each episode Copyright: 2000 Year Recommended: 2001 Expiry Date: July 1, 2016 Title

Annotation

ID Number

Area

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.

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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.

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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.

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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 V637 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.

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 Monstermeter 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.

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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.

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(continued) Mathematics 1

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Math Monsters Series (continued) Title

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Mental Math: The Monsters’ plan to perform in a circus provides a context for exploring doubles and their Doubles and Their neighbours. Neighbors

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ID Number V618

Number Conservation, Transformation & Equivalency

The Monsters decide to plant two gardens, each with the identical number of monster V616 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.

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

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Scholastic Inc.

Math-terpieces: The Art of Problemsolving. 1st ed. Author: Tang, Greg Illustrator: Paprocki, Greg Annotation

This engaging “math-terpiece” juxtaposes the work of artists such as Cézanne, Picasso, and Warhol with mathematical problem solving. The problems are inspired by the art work, but not directly linked. Each double-page spread begins with an artistic masterpiece accompanied by a loosely related rhyme in which the author poses a mathematical question based on an item from the painting. The problems encourage students to mentally calculate different ways of arranging groups of objects into larger numbers. For example, after Henri Matisse’s painting, The Goldfish, Greg Tang asks readers to try re-organizing groups of fish in six different ways in order to make the number nine. Solutions appear at the end of the book along with brief notes on various forms of art. Students may benefit by modelling different solutions using manipulatives.

Distributor

Scholastic Canada Ltd. 175 Hillmount Rd MARKHAM ON L6C 1Z7 (800) 268-3848 (416) 915-3500 Fax: (866) 346-1288 Email: [email protected] Website: www.scholastic.ca

Price: $6.99 pbk. Pagination: 31 p. ISBN: 978-0-439-56090-0 Copyright: 2003 Year Recommended: 2006

From MATH-TERPIECES: THE ART OF PROBLEM SOLVING by Greg Tang, illustrated by Greg Paprocki. Cover illustration copyright © 2003 by Scholastic Inc. Reprinted by permission.

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Holiday House, Inc.

Mooove Over!: A Book about Counting by Twos Author: Beil, Karen Magnuson Illustrator: Meisel, Paul Annotation

The Countingtown trolley and its driver are always on time. As each pair of animal passengers board the bus, the driver keeps a running total: two, four, six, eight …. Everything proceeds smoothly until a pushy cow steps on board and tells the rest of the passengers to “Mooove over!” all the way out the door. The driver soon sets things right and does a final headcount – twenty, “Plus one pushy cow makes one too many!” Readers practise counting by twos, and gain familiarity with related words such as duet, pair, couple, twosome, and partners. Additional activities for counting by twos are included at the end of the book.

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Distributor

Thomas Allen & Son Limited 390 Steelcase Rd E MARKHAM ON L3R 1G2 (905) 475-9126 (800) 387-4333 Fax: (800) 458-5504 Email: [email protected] Website: www.thomasallen.ca/site/index.aspx

Price: $21.50 hdc. Pagination: 32 p. ISBN: 978-0-8234-1736-0 Copyright: 2004 Year Recommended: 2006

Mathematics 1

More Puddle Questions for Canadian Schools: Assessing Mathematical Thinking: Grade 1 Authors: Ainslie, Elizabeth and Westley, Joan Annotation

(CAN) This teacher resource is a tool that may be used to 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.

Mathematics 1

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Professional Resource

Publisher/Distributor

McGraw-Hill Ryerson Limited 300 Water St WHITBY ON L1N 9B6 (800) 565-5758 (905) 430-5000 Fax: (800) 463-5885 Email: [email protected] Website: www.mcgrawhill.ca

Price: $57.08 pbk. Pagination: 96 p. ISBN: 978-0-07-090664-8 Copyright: 2004 Year Recommended: 2006

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Annick Press

My Arctic 1, 2, 3 Author: Kusugak, Michael Arvaarluk Illustrator: Krykorka, Vladyana Annotation

(CAN, FNMI) This counting book is two books in one. The counting book features full-colour illustrations of Arctic animals in a hunter-prey relationship. Kusugak introduces number concepts ranging from one polar bear to one million berries that “ripen in the fall.” In four pages at the end of the book, Kusugak writes of the life that he and his family live in Rankin Inlet, among the animals of the tundra and the polar sea. There is a glossary of northern terms at the end of the book.

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Distributor

Firefly Books Ltd. 66 Leek Cr RICHMOND HILL ON L4B 1H1 (800) 387-6192 (416) 499-8412 Fax: (800) 450-0391 Email: [email protected] Website: www.fireflybooks.com

Price: $18.95 hdc. $7.95 pbk.

Pagination: 24 p. ISBN: 978-1-55037-505-3 hdc.

978-1-55037-504-6 pbk.

Copyright: 1996 Year Recommended: 2001

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Professional Resource

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New Visions for Linking Literature and Mathematics Authors: Whitin, David J. and Whitin, Phyllis Annotation

This resource provides a wealth of 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 objectives in mind. In addition, they suggest ways to handle subject integration, classroom management, and adaptations to meet student needs. This teacher resource includes a comprehensive annotated bibliography of children’s literature. The bibliography features both fiction and nonfiction titles that may be used as starting points for introducing mathematical concepts.

Mathematics 1

The National Council of Teachers of English 1111 W Kenyon Road URBANA IL 61801-1096 (217) 328-3870 Fax: (217) 328-9645 Email: [email protected] Website: www.ncte.org/

Price: $29.95 U.S. pbk. Pagination: 170 p. ISBN: 978-0-8141-3348-4 Copyright: 2004 Year Recommended: 2006

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Millbrook Press Inc.

100 Days of School Author: Harris, Trudy Illustrator: Johnson, Beth Griffis Annotation

The illustrations and rhyming text encourage students to explore various ways to count to 100. Each rhyme details a mental calculation strategy including skip counting, counting on, doubling, and repeated addition. The verses present authentic situations for developing number concepts and relationships.

Distributor

Lerner Publishing Group 241 First Ave N MINNEAPOLIS MN 55401 (800) 328-4929 Fax: (800) 332-1132 Email: [email protected] Website: www.lernerbooks.com

Price: $16.95 U.S. hdc. Pagination: 32 p. ISBN: 0-7613-1271-4 Copyright: 1999 Year Recommended: 2003

100 Days of School by Trudy Harris and illustrations by Beth Griffis Johnson. Text copyright © 1999 by Trudy Harris. Illustrations copyright © 1999 by Beth Griffis Johnson. Reprinted with permission of Millbrook Press, a division of Lerner Publishing Group, Inc. All rights reserved. No part of this text excerpt may be used or reproduced in any manner whatsoever without the prior written permission of Lerner Publishing Group, Inc. www.lernerbooks.com

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Candlewick Press

One Is a Snail, Ten Is a Crab: A Counting by Feet Book. 1st ed. Authors: Sayre, April Pulley and Sayre, Jeff Illustrator: Cecil, Randy Annotation

This seaside story casts the perfect setting for exploring number combinations. The feet of various critters are used to recognize patterns and multiples used in counting from 1 to 10, and from 10 to 100. Humorous illustrations depict the fun-loving creatures immersed in a myriad of summertime activities at the beach. This creative counting book will engage readers in determining alternate addition sentences.

Distributor

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

Price: $9.99 pbk. Pagination: 32 p. ISBN: 978-0-7636-2631-0 Copyright: 2003 Year Recommended: 2006

ONE IS A SNAIL, TEN IS A CRAB. Text copyright © 2003 by April Pulley Sayre & Jeff Sayre. Illustrations copyright © 2003 by Randy Cecil. Reproduced by permission of the publisher, Candlewick Press, Somerville, MA.

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Professional Resource

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Out of the Labyrinth: Setting Mathematics Free Authors: Kaplan, Robert and Kaplan, Ellen Annotation

Written 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.

Oxford University Press 70 Wynford Dr DON MILLS ON M3C 1J9 (800) 387-8020 (416) 441-2941 Fax: (800) 665-1771 Email: [email protected] Website: www.oupcanada.com/

Price: $16.95 hdc. Pagination: 256 p. ISBN: 978-0-19-514744-5 Copyright: 2007 Year Recommended: 2007

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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Patterns and Relations

Publisher

Millbrook Press Inc.

Pattern Bugs Author: Harris, Trudy Illustrator: Green, Anne Canevateri Annotation

The pastel watercolour illustrations of insects showcase examples of patterns. The accompanying rhyming text, page border, and background objects echo the pattern. Students will enjoy searching for the repetitive patterns on each two-page spread. The author’s endpapers provide information about patterning of numbers, objects, and events.

Distributor

Lerner Publishing Group 241 First Ave N MINNEAPOLIS MN 55401 (800) 328-4929 Fax: (800) 332-1132 Email: [email protected] Website: www.lernerbooks.com

Price: $16.95 U.S. hdc. Pagination: 40 p. ISBN: 978-0-7613-2107-1 Copyright: 2002 Year Recommended: 2003

Pattern Bugs by Trudy Harris and illustrations by Anne Canevari Green. Text copyright © 2001 by Trudy Harris. Illustrations copyright © 2001 by Anne Canevari Green. Reprinted with permission of Millbrook Press, a division of Lerner Publishing Group, Inc. All rights reserved. No part of this text excerpt may be used or reproduced in any manner whatsoever without the prior written permission of Lerner Publishing Group, Inc. www.lernerbooks.com

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Professional Resource

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Jossey-Bass

Powerful Learning: What We Know about Teaching for Understanding Authors: Darling-Hammond, Linda; Barron, Brigid;

Pearson, David P.; Schoenfeld, Alan H.; Stage, Elizabeth K.; Zimmerman, Timothy D.; Cervetti, Gina N.; and Tilson, Jennifer L.

Annotation

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

Distributor

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

Price: $33.99 spiral-bound Pagination: 288 p. ISBN: 978-0-470-27667-9 Copyright: 2008 Year Recommended: 2011

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 science curriculum at the Elementary Level and the Kindergarten curriculum.

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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Houghton Mifflin Harcourt

Quack and Count Author/Illustrator: Baker, Keith Annotation

Slip, slide, leap, and dive with a family of seven lively ducklings as they get ready to fly for the very first time. Playful, rhyming text and bold, collage illustrations captures the excitement of a day’s adventures and introduces counting.

Distributor

Thomas Allen & Son Limited 390 Steelcase Rd E MARKHAM ON L3R 1G2 (905) 475-9126 (800) 387-4333 Fax: (800) 458-5504 Email: [email protected] Website: www.thomasallen.ca/site/index.aspx

Price: $8.95 pbk. Pagination: 22 p. ISBN: 978-0-15-204751-1 Copyright: 2004 Year Recommended: 2007

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Professional Resource

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Math Solutions Publications

Show and Tell: Representing and Communicating Mathematical Ideas in K-2 Classrooms Authors: Dacey, Linda and Eston, Rebeka Annotation

This innovative resource demonstrates how mathematical concepts can be taught through “showing and telling.” Using this instructional method, students develop problem-solving skills as they represent different solutions and communicate their mathematical ideas. Numerous classroom vignettes and examples of student work model how “show and tell” can deepen students’ mathematical understandings.

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Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $29.70 pbk. Pagination: 232 p. ISBN: 978-0-941355-50-6 Copyright: 2002 Year Recommended: 2003

Mathematics 1

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Math Solutions Publications

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

This 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.

Mathematics 1

Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $21.50 pbk. Pagination: 121 p. ISBN: 978-0-941355-29-2 Copyright: 2000 Year Recommended: 2003

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

This volume and its companion, is a 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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National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 Email: [email protected] Website: www.nctm.org

Price: $10.00 U.S. pbk. Pagination: 269 p. ISBN: 978-0-87353-540-3 Copyright: 2003 Year Recommended: 2006

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Professional Resource

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Heinemann Educational Books

Teaching Mathematics Vocabulary in Context: Windows, Doors, and Secret Passageways Author: Murray, Miki Annotation

This 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.

Mathematics 1

Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $28.82 pbk. Pagination: 196 p. ISBN: 978-0-325-00634-5 Copyright: 2004 Year Recommended: 2006

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Teeth, Tails, & Tentacles: An Animal Counting Book Author/Illustrator: Wormell, Christopher Annotation

This counting book introduces the numbers from one to twenty by focusing on features of various land and sea creatures – one rhinoceros horn, two camel humps, three chameleon colours, etc. Full-page linocut prints portray each animal’s featured characteristic. Additional pages at the end of the book include notes about each animal, such as information about habitat, behaviour, and conservation.

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Running Press

Distributor

The Perseus Books Group 1094 Flex Drive JACKSON TN 38301 (800) 343-4499 Fax: (800) 351-5073 Email: [email protected] Website: www.perseusbooksgroup.com

Price: $8.99 pbk. Pagination: unp. ISBN: 978-0-7624-2728-4 Copyright: 2004 Year Recommended: 2006

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Heinemann Educational Books

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

Annotation

The 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.

Mathematics 1

Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $32.42 pbk. Pagination: 146 p. ISBN: 978-0-325-00565-2 Copyright: 2003 Year Recommended: 2006

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25 Thinking Questions for Canadian Schools: Grade 1 Author: Armstrong, Dale Annotation

(CAN) This book includes 25 activities that emphasize problem solving using manipulatives. Many of the problems have multiple solutions or solution methods. Each open-ended question includes examples of possible misunderstandings, as well as ideas on how to assist students as they engage in the problemsolving process. Assessment tools include questions for discussion, and ideas for reflective journalling. Lesson extension ideas are provided. Each problem-solving question may be used to support student achievement of a variety of learning outcomes; however, these have not been clearly identified within this resource. Teachers will need to select activities based on their application to specific curriculum outcomes.

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McGraw-Hill Ryerson Limited 300 Water St WHITBY ON L1N 9B6 (800) 565-5758 (905) 430-5000 Fax: (800) 463-5885 Email: [email protected] Website: www.mcgrawhill.ca

Price: $59.93 pbk. Pagination: 107 p. ISBN: 0-07-094807-2 Copyright: 2004 Year Recommended: 2006

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Producer

Nutmeg Media

Two of Everything Annotation

In this video program, Mr. Haktak digs up a brass pot and takes it home. He puts his purse that contains his last five gold coins in the pot for safe-keeping. At the house, Mrs. Haktak puts her hair pin into the pot. They discover that the brass pot is magical as their possessions double. Mr. and Mrs. Haktak try other objects from the house in the magical pot. One day, Mr. Hatkat startles Mrs. Haktak, who falls into the pot. He now has two wives and double the trouble.

Mathematics 1

Distributor

ROVER (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: 9 min. ID Number: TBA Copyright: 2009 Year Recommended: 2010 Expiry Date: July 1, 2016

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Maple Tree Press, Inc.

The Wildlife ABC & 123: A Nature Alphabet & Counting Book Author/Illustrator: Thornhill, Jan Annotation

(CAN) This book is a combination of Thornhill’s awardwinning titles, The Wildlife ABC and The Wildlife 123. The illustrations in the first half of this resource, The Wildlife ABC, provide opportunities for counting, sorting, pattern description, and the value of positional language. The second half, The Wildlife 123, challenges readers to count the animals within the pictures, and within the picture frame. Cumulative pictures help to emphasize the relationships between numbers and quantities. Informative “Nature Notes” included at the back of the book provide additional information regarding the animals found in the illustrations.

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Distributor

Raincoast Books 2440 Viking Way RICHMOND BC V6V 1N2 (800) 663-5714 (604) 448-7100 Fax: (800) 565-3770 Email: [email protected] Website: www.raincoast.com

Price: $19.95 hdc. Pagination: 64 p. ISBN: 978-1-897066-09-6 Copyright: 2004 Year Recommended: 2005

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Professional Resource

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Heinemann Educational Books

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

Annotation

A 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. The authors provide a description of development, with a focus on big ideas, progressive strategies, and emerging models.

Mathematics 1

Distributor

Pearson Education Canada School Division 195 Harry Walker Pkwy N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 Email: [email protected] Website: www.pearsonschoolcanada.ca/

Price: $30.00 pbk. Pagination: 193 p. ISBN: 978-0-325-00353-5 Copyright: 2001 Year Recommended: 2007

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Zero is a big, round number. Zero wants to be like the other numbers and be counted. When Zero looks in the mirror, she just sees a big empty hole in the middle. Students will enjoy Zero’s search to find value in herself and others.

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Publisher

KO Kids Books

Distributor

Publishers Group Canada 559 College St, Suite 402 TORONTO ON M6G 1A9 (800) 747-8147 (416) 934-9900 Fax: (416) 934-1410 Website: www.pgcbooks.ca

Price: $19.95 hdc. Pagination: 32 p. ISBN: 978-0-7613-4658-6 Copyright: 2010 Year Recommended: 2011

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Digital Resources The Ministry of Education is also planning to post recommended support materials 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.

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