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Mathematics Additional Learning

Resources

SaskatchewanLearning Resources

2010

6

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Mathematics: Additional Learning Resources • Grade 6

Mathematics: Additional Learning Resources • Grade 6 |

Mathematics

Additional Learning Resources 6

Prepared by:

Curriculum and E-Learning Branch

Ministry of Education

2010


Mathematics: additional learning resources 6 ISBN 978-1-926631-96-7 1. Mathematics – Study and teaching (Middle school) – 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.


| Mathematics: Additional Learning Resources • Grade 6


Table of Contents

Foreword............................................................................................................... ...v

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

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

Digital.Resources................................................................................................. 30

Mathematics: Additional Learning Resources • Grade 6 | iii


Mathematics: Additional Learning Resources • Grade 6 | v

Foreword

This list of learning resources identifies high-quality resources that have been recommended by the Ministry of Education to support the curriculum, Mathematics 6. 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. Resources evaluated and recommended as support for the Western and Northern Canadian Protocol frameworks and Saskatchewan’s provincial curricula have the designation (WNCP) before the annotation.

Other resources beyond those recommended in this list may effectively support Mathematics 6. It remains the responsibility of educators to preview and select materials that best meet the needs of their students, school, and community. Educators should choose these materials in accordance with the school division’s learning resources selection policy.

Pricing of the learning resources contained in this list 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, the suggested uses, and the suggested quantity (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 www.spectrumed.com. 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.

http://www.exclusiveeducational.ca

http://www.exclusiveeducational.ca

http://www.spectrumed.com

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Manipulatives

Item Suggested Uses (Strands) Suggested Quantity

Alge-tiles Patterns and Relations Number

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

1 overhead set

Balance Patterns and Relations 1 per 4 students

Calculator (4 operations) Across strands 1 per student

Colour Tiles (including tiles for use with overhead)

Shape and Space Number

At least 40 per student

Cuisenaire Rods Number 1 set per 2 students

Fraction Materials (circles, strips, pattern and fraction blocks, fraction rings, 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, or wooden blocks, stickers, or stamps)

Number Patterns and Relations

1 set per 5-6 students

Money (coins, including loonies and toonies, bills, 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

Dice

- 4-sided, 6-sided (0-5 and 1-6), 8-sided, 12-sided, 10-sided, 20-sided

- Overhead, blank, fraction, dots, numerals, and words

Number Statistics and Probability

- 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, 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

Patty Paper Shape and Space 1 package per class

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

As required

Mathematics: Additional Learning Resources • Grade 6 | vii

x | Mathematics: Additional Learning Resources • Grade 6



Item Suggested Uses (Strands) Suggested Quantity

Mira/Reflect View Shape and Space 1 per 2 students

3-D Geometric Shapes - Power Solids

Shape and Space 5 sets per class

Various Media (e.g., magazines, newspapers, Internet, databases)

Number As required

Protractor Shape and Space 1 per student

Probability Materials (marbles, cards, coins, centimetre cubes, two-sided counters, blank spinners)

Statistics and Probability Various, as needed

10 x 10 Geoboards Shape and Space 1 per 2 students plus elastics, as needed

Manipulatives (continued)

Mathematics: Additional Learning Resources • Grade 6 | 1


All of the AboveAuthor: Pearsall, ShelleyIllustrator: Steptoe, Javaka

AnnotationFour inner-city students decide to build the world’s largest tetrahedron. The story is told through many characters in the story. The four students are Sharice, James, Rhondell, and Marcel. The connector between the students and the community is Mr. Collins, the teacher, who had the idea for the tetrahedron project.

The story is based on a true event. In 2002, four students in Cleveland, Ohio built the world’s largest tetrahedron, using 16 384 tetrahedrons. At the end of the book is an author’s note on the project and a reader’s guide.

Print, Audio-visual, and Other Resources

Suggested UseShape and Space

PublisherLittle, Brown Books for Young Readers

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

Price: $7.25 pbk.Pagination: 234 p.ISBN: 978-0-316-11526-1

Copyright: 2006Year Recommended: 2009

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2 | Mathematics: Additional Learning Resources • Grade 6



Suggested UseProfessional Resource

Publisher/DistributorNational Council of Teachers of Mathematics1906 Association DrRESTON VA 20191-1502(800) 235-7566(703) 620-9840Fax: (703) 476-2970E-mail: [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) 583-2665E-mail: [email protected]: www.sagepub.com

Price: $69.95 U.S. hdc.$29.95 U.S. pbk.

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

978-0-7619-3851-4 pbk.


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

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

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Suggested UseNumber

PublisherTricycle Press

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

Price: $19.99 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.

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PublisherMath Solutions Publications

DistributorPearson Education CanadaSchool Division195 Harry Walker Pky NNEWMARKET ON L3Y 7B4(800) 361-6128(905) 853-7888Fax: (800) 563-9196E-mail: [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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If You Hopped Like a FrogAuthor: Schwartz, David M.Illustrator: Warhola, James

AnnotationReaders learn about the amazing abilities of animals. The exaggerated illustrations depict ratios proportionally to the bodies of human beings. Readers will discover the strength of an ant, the appetite of a shrew, and the size of your brain if it was like a brachiosaurus. Each comparison is explained in detail in the appendix.

Suggested UseNumber

PublisherScholastic Inc.

DistributorScholastic Canada Ltd.175 Hillmount RoadMARKHAM ON L6C 1Z7(800) 268-3860Fax: (800) 387-4944E-mail: [email protected]: www.scholastic.ca

Price: $23.99 hdc..Pagination: 32 p.ISBN: 978-0-590-09857-1


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Cover illustration copyright © 1999 by James Warhola from IF YOU HOPPED LIKE A FROG BY David M. Schwartz. Reprinted by permission of Scholastic Inc.



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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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 SeriesAuthors: Wickett, Maryann, Kharas, Katharine, and Burns, Marilyn

AnnotationThis three-volume series, Lessons for Algebraic Thinking, 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.





Title ISBN PriceLessons for Algebraic Thinking: Grades K-2

978-0-941355-47-6 $35.01 pbk.

Lessons for Algebraic Thinking: Grades 3-5

978-0-941355-48-3 $37.14 pbk.

Lessons for Algebraic Thinking: Grades 6-8

978-0-941355-49-0 $35.01 pbk.

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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.

Suggested UseProfessional Reference

PublisherThe New Press

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



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Suggested UseNumber

PublisherViking Penguin

DistributorCanbook Distribution Services195 Harry Walker PkyNEWMARKET ON L3Y 7B3(800) 399-6858Fax: (800) 363-2665E-mail: [email protected]: www.canbook.com



ProducerWeston Woods

DistributorMedia Group2710 Millar AveSASKATOON SK S7K 4J4(888) 682-8808 (306) 933-4212Fax: (877) 444-3354E-mail: [email protected]: http://videodb.mg.sk.ca

Price: $1.00 per program and the cost of ablank disc, plus shipping and taxes

Length: 15 min.Order No.: VTBA


Math CurseAuthor: Scieszka, JonIllustrator: Smith, Lane

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

There is a video program of the book, narrated by the author. The program is available from Media Group.

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









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

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

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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.


PublisherHeinemann Educational Books




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

Annotation(CAN) These teacher resources are one tool that may be used to help assess students’ mathematical thinking through problem-solving activities that are authentic and open-ended. Each book in this series 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.

Recommended titles in this series include the following:


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

Price: $54.36 each pbk.


Title ISBN PaginationGrade 1 978-0-07-090664-8 96 p.

Grade 2 978-0-07-090666-2 110 p.

Grade 3 978-0-07-090667-9 96 p.

Grade 4 978-0-07-094791-7 106 p.

Grade 5 978-0-07-094792-4 106 p.

Grade 6 978-0-07-094797-9 106 p.

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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

PublisherThe Wright Group

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

Price: $32.35 each kit


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

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

Level 3 6-8 978-1-4045-1363-1

Level 4 7-9 978-1-4045-1364-8

Level 5 8-10 978-1-4045-1365-5

Level 6 9-10 978-1-4045-1366-2

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Suggested UseNumber

PublisherHoliday House, Incorporated

DistributorThomas Allen & Son, Limited390 Steelcase Road EastMARKHAM ON L3R 1G2 (905) 853-475-9126 Fax: (800) 563-9196 E-mail: [email protected] Website: www.thomas-allen.com



Of Numbers and Stars: The Story of HypatiaAuthor: Love, D. AnneIllustrator: Paparone, Pam

AnnotationRaised during the fourth century C.E. in Alexandria, Egypt, Hypatia became an authority in mathematics. Hypatia’s father, Theon, believed that she should be educated the same as a boy. Theon was a professor at the university and taught Hypatia all that he knew. Hypatia became fascinated with numbers after watching Theon write number sentences. Other scholars sought Hypatia’s opinions on mathematics, science, or philosophy.

The book includes a bibliography, a brief description of the word “mathematics”, and an author’s note about Hypatia.

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

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


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



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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Sir Cumference and the Dragon of Pi: A Math AdventureAuthor: Neuschwander, CindyIllustrator: Geehan, Wayne

AnnotationSuffering from a stomach ache, Sir Cumference mistakenly drinks a magic remedy that transforms him into a dragon. His son, Radius, searches the castle for the cure. His quest for the magic number that is the same for all circles (pi) involves determining the diameter and circumference of various circular objects. Radius, while measuring a fruit pie, discovers the ratio of a circle’s circumference to its diameter and the king is returned to his human form. From that point on, it is declared that pie with an e will be for eating and pi without an e will be the name of this number for all things round.


PublisherCharlesbridge Publishing

DistributorMonarch Books of Canada5000 Dufferin StDOWNSVIEW ON M3H 5T5(800) 404-7404(416) 663-8231Fax: (416) 736-1702E-mail: [email protected]: www.monarchbooks.ca


Copyright: 2004Year Recommeded: 2004

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Sir Cumference and the Great Knight of Angleland: A Math Adventure Author: 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.






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Sir Cumference and the Sword in the ConeAuthor: Neuschwander, CindyIllustrator: Geehan, Wayne

AnnotationCompeting to be the chosen successor to King Arthur, young knights attempt to solve the puzzle to determine the hidden location of the King’s sword, Edgecalibur. Sir Cumference wants to be a knight. As the clues lead Vertex and Radius through a series of adventures, the two men discover attributes of geometric solids including Euler’s Law. Students should enjoy the many puns and riddles found in the book.

Note: Imperial measurements are used, but this is not a limiting factor.






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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 described. Sample chapter topics focus on effective calculator usage, connecting with parents, and leading class discussions.

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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 Addition and Subtraction: Grades 2-3

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

Lessons for Extending Division: Grades 4-5

978-0-941355-46-9 $31.82 pbk.

Lessons for Extending Multiplication: Grades 4-5

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

Lessons for Extending Place Value: Grade 3

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

Lessons for Introducing Division: Grades 3-4

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

Lessons for Introducing Fractions: Grades 4-5

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

Lessons for Introducing Multiplication: Grade 3

978-0-914355-41-4 $29.70 pbk.

Lessons for Multiplying and Dividing Fractions: Grades 5-6

978-0-914355-64-3 $29.70 pbk.

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

AnnotationThis volume and its companion are professional research-based resources that promote 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 Through Problem Solving: Grades 6-12Editor: Schoen, Harold L.

AnnotationThis volume and its companion are professional research-based resources that promote 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, provide suggestions to select and use appropriate tasks and learning tools, and provide examples of the use of this approach in various classroom settings.





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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.






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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.






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Uncovering Student Thinking in Mathematics: Grades 6-12Authors: Rose, Cheryl M. and Arline, Carolyn B.

AnnotationThe authors provide thirty formative assessment probes. The probes reveal common understandings and misunderstandings in student thinking in mathematics. The probes will assist teachers as they gauge students’ prior knowledge of core mathematical concepts. These tools will assist educators to identify areas that require more instruction and to adapt their teaching to meet student needs.


Publisher/DistributorThomson Nelson1120 Birchmount RdSCARBOROUGH ON M1K 5G4(800) 268-2222(416) 752-9100Fax: (800) 430-4445E-mail: [email protected]: www.nelson.com



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From ROSE, CHERYL. Uncovering Student Thinking in Mathematics Grades 6-12. © 2008 Nelson Education Ltd. Reproduced by permission. www.cengage.com/permissions



Digital ResourcesThe Saskatchewan Ministry of Education provides a forum through the Digital Resources page for teachers to access and share educationally appropriate Internet sites. The URL Database of websites can be found on the Ministry of Education website at www.education.gov.sk.ca/digital-resources.

Information on sites that are recommended and linked to curriculum outcomes can be found by accessing this database. Teachers are encouraged to share Internet sites with others in the province by registering in the URL database. Once an account has been created, teachers are able to suggest new Internet sites as well as access and review sites submitted by other teachers. The reviews are used to help determine a recommendation and links to curricula. Educators can register at the above address.

The General Reference Centre (GRC) provides access to general Internet sites that relate to curricula. The GRC can be found on the Ministry of Education website.

Current Internet sites that provide information for mathematics educators follow:

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

(CORE) 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) 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/digital-resources

http://www.education.gov.sk.ca/digital-resources

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

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

http://www.nctm.org

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

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