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Mathematics: Learning Resources for the Middle Level (6-9) Recycled Paper 2007 Mathematics: Learning Resources for the Middle Level (6-9) Prepared by: Instructional Resources Unit Curriculum and E-Learning Branch Saskatchewan Learning 2007 Foreword This list of learning resources identifies resources that have been recommended by Saskatchewan Learning to support the Grade 7 Mathematics Curriculum (2007). The list also offers suggestions, where appropriate, for other grades that the resources will support. These resources form a high quality collection that supports most of the learning outcomes of the Mathematics Curriculum. This list will be updated as more curricula for the Middle Level are developed, and as new resources become available. For each grade, a collection of core (CORE) learning resources has been selected. These resources form a high quality collection that supports the vast majority of the learning outcomes for that particular grade. This list also includes additional recommended learning resources. When purchasing resources from this list, it is advisable to select one of the comprehensive core resources for each grade together with the in-depth and professional core learning resources, and other learning resources of your choice. Where possible, the comprehensive resources should be examined before final ordering decisions are made. Manipulatives are an essential component of an effective mathematics program, leading to the development of deeper understanding of mathematical concepts. Included is a chart outlining the types of manipulatives needed, the suggested uses, 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 (www.exclusiveeducational.ca) and Spectrum Nasco Educational Supplies Ltd. (www.spectrumed.com). Please consult these companies’ catalogues for purchasing information. Other resources beyond those recommended in this list may effectively support the Mathematics Curricula. It remains the responsibility of teachers to preview and select materials that best meet the needs of their school or community. These resources should be chosen in accordance with the school divisions’s materials selection policy. Middle Level (6-9) iii Grade 7 Manipulatives Alge-tiles Item Suggested Uses Patterns and Relations Number Balance Patterns and Relations Base Ten Materials (blocks, stamps, mats, and clear view for teacher) Number Blank Spinners Statistics and Probability Calculator (4 operations) Centimetre Cubes (interlocking and non-interlocking) Colour Tiles (including tiles for use with overhead) Counters • Overhead • 2-sided Across strands • 1 clear view for teacher use • 1 class set of blocks and mats • 3 stamp sets per class • 1 spinner per 2 students and 1 for teacher use on overhead • 1 per student Probability • At least 20 per student Number (Fractions) Statistics and Probability • At least 30 per student Number Statistics and Probability Cuisenaire Rods 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 Fraction Materials (circles, strips, pattern, and fraction blocks, fraction rings, fraction grids) Number Number Statistics and Probability • One set of overhead counters • One set of 2-sided counters per 2 students • 1 set per 2 students • 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 3-D Geometric Shapes • Power Solids Geoboards (that link to give co-ordinate plane, geobands) Linear Measuring Materials (rulers—starting at edge and not starting at edge, measuring tapes, metre sticks, trundle wheels) Linking Cubes Mira/Reflect View Pattern Blocks (including overhead, wooden, stickers or stamps) Power Polygons Shape and Space • 4 sets of fraction blocks • Mixture of fraction circles, strips, rings, and grids so that there is 1 per student • 5 sets per class Shape and Space • 4 per 2 students Shape and Space • 1 ruler per student • 1 measuring tape per 4 students • 1 metre stick per 4 students • 2 large sets per class • 1 per 2 students • 4 sets of pattern blocks per class Middle Level (6-9) Number Statistics and Probability Shape and Space Shape and Space Shape and Space Suggested Quantity • 6-10 sets per classroom (approximately 1 set per 3 students) • 1 per two students • 4 sets per class 1 Protractors (including circle, semi-circle, percent, and Geolegs) Statistics and Probability • 1 of each per group of 4 students Note: Ordering information for Geolegs is available from www.geoleg.com. 2 Middle Level (6-9) Building a Fish Rack: Investigations Into Proofs, Properties, Perimeter, and Area (Math in a Cultural Context Series: Lessons Learned From Yup’ik Eskimo Elders) Authors: Adams, Barbara L. and Lipka, Jerry Annotation (CORE) Modules in this series provide an excellent example of how to explore the multiculturalism of mathematics. This kit includes a book, a CD, and three posters. Building a Fish Rack provides extended problem-solving projects where students explore perimeter, area, and threedimensional shapes as they learn how to construct a model of a fish rack. Through the investigation, students are engaged in mathematical communication as they formulate questions and represent possible solutions in a variety of ways. Cultural notes, teacher notes, math notes, and assessment ideas offer instructional support. This resource facilitates connections to and integration with other subject areas. Grade Level K 1 2 3 4 5 6 7 8 9 √ Suggested Use: Shape and Space Initiative: First Nations, Inuit, and Métis Content and Perspectives Distributor Temeron Books Inc. 1220 Kensington Road NW Suite 210 CALGARY AB T2N 3P5 (403) 283-0900 Fax: (403) 283-6947 E-mail: [email protected] Website: www.temerondetselig.com Price: $34.95 kit ISBN: 978-1-55059-258-0 Copyright: 2003 Year Recommended: 2007 This resource series was developed in partnership with the Yup’ik Inuit Elders in Alaska and with the University of AlaskaFairbanks. It provides an authentic example of ways to integrate Inuit content, to incorporate cultural ways of knowing, and to bridge gaps between different ways of knowing and understanding. The series includes cultural stories given by Elders. The focus is on Alaska’s Yup’ik people. Students from all cultural backgrounds should find the activities engaging. Note: Imperial measurements, along with some metric measurements, are used. Also, the term “Eskimo” appears instead of “Inuit,” which is the culturally appropriate term in Canada. Teachers are encouraged to use and adapt the materials as needed to support Saskatchewan’s mathematics curriculum. Middle Level (6-9) 3 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 numerous examples of how to build students’ understanding of mathematical concepts effectively. 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 high-quality literature as the basis for mathematical explorations. 4 Grade Level K 1 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ 8 √ Suggested Use: Number; Shape and Space; Statistics and Probability Distributor National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 E-mail: [email protected] Website: www.nctm.org Price: $36.95 U.S. pbk. ISBN: 978-0-87353-553-3 Copyright: 2004 Year Recommended: 2006 Middle Level (6-9) 9 G Is for Googol: A Math Alphabet Book Author: Schwartz, David M. and Moss, Marissa, illustrator 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 humorous) examples are included. Teachers may find this resource useful for stimulating discussion and mathematical thinking. Included are a table of contents and glossary. Grade Level K 1 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ 8 9 √ Suggested Use: General Reference Distributor Ten Speed Press 555 Richmond St. W Suite 405 Box 702 TORONTO ON M5V 3B1 (416) 703-7775 (800) 404-4446 Fax: (416) 703-9992 E-mail: [email protected] Website: www.tenspeed.ca Price: $21.95 hdc. ISBN: 978-1-883672-58-4 Copyright: 1998 Year Recommended: 2002 Middle Level (6-9) 5 √ Grade Level Good Questions for Math Teaching: Why Ask Them and What to Ask, Grades 5-8 K Authors: Schuster, Lainie and Anderson, Nancy Canavan Suggested Use: Teacher Reference Annotation This book continues from the previous title (K6) to promote open-ended mathematical questions. Part One explores the nature of good questioning, and 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, and percents; geometry; algebraic thinking; data analysis and probability; and measurement. 6 1 2 3 4 5 √ 6 √ 7 √ Distributor Pearson Education Canada School Division 195 Harry Walker Pky North NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Price: $24.85 pbk. ISBN: 978-0-941355-69-8 Copyright: 2005 Year Recommended: 2007 Middle Level (6-9) 8 √ 9 Grade Level Lessons for Algebraic Thinking: Grades 6-8 (Lessons for Algebraic Thinking Series). K Authors: Lawrence, Ann and Hennessy, Charlie Suggested Use: Teacher Reference Annotation This resource is part of the three-volume series, Lessons for Algebraic Thinking, which fosters authentic applications for abstract concepts in algebra. Each chapter provides detailed lessons, suggested technology connections and samples of students’ work. The activity-based lessons develop the students’ understanding of relationships, variables and functions. Determining different solution strategies and various representations for data are promoted throughout this resource. Middle Level (6-9) 1 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ 8 9 √ Distributor Pearson Education Canada School Division 195 Harry Walker Pky NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Price: $46.25 pbk. ISBN: 978-0-941355-49-0 Copyright: 2002 Year Recommended: 2003 7 √ Grade Level Lessons for Extending Fractions: Grade 5 (Teaching Arithmetic Series) K 1 2 3 4 5 6 Author: Burns, Marilyn Suggested Use: Number Annotation Using games, investigations, and problemsolving activities, the lessons in this book develop students’ understanding of naming, comparing, and ordering fractions, as well as their overall number sense of fractions. These mathematical concepts serve as a foundation for adding and subtracting fractions. Throughout the activities, students are encouraged to explain their mathematical thinking and problem-solving processes using manipulatives, discussion, journalling, and illustrating. A variety of solutions and student work samples are included, along with explanations indicating what certain student responses imply about their mathematical understanding of certain concepts. Extension ideas, prompts, and questions for discussion assist the teacher in facilitating dialogue among students and in encouraging critical and creative thinking. Distributor Pearson Education Canada School Division 195 Harry Walker Pky NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca 7 √ Price: $41.74 pbk. ISBN: 978-0-941355-43-8 Copyright: 2003 Year Recommended: 2006 Note: Although the title of this book indicates Grade 5, it is a stronger support for Grade 7 in Saskatchewan's curriculum. 8 Middle Level (6-9) 8 9 Grade Level A Mathematical Passage: Strategies for Promoting Inquiry in Grades 4-6 K 1 2 Authors: Whitin, David J. and Cox, Robin Suggested Use: Teacher Reference Annotation This 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 of how to use math journals as assessment tools to gauge students’ understanding of mathematical concepts. Distributor Pearson Education Canada School Division 195 Harry Walker Pky NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca √ 3 √ 4 √ 5 √ 6 √ 7 √ 8 9 √ Price: $22.75 pbk. ISBN: 978-0-325-00506-5 Copyright: 2003 Year Recommended: 2007 Middle Level (6-9) 9 √ MathLinks 7 Authors: McAskill, Bruce, et al. Annotation (CORE, CAN, WNCP) This resource consists of a student resource, a teacher’s guide, and editable blackline masters available on the accompanying CD-ROM. The student resource contains 12 units of study. Each unit begins with a problem called a Math Link that connects math and the real world. Lessons follow the basic format of explore or discuss, reflect, review key ideas, communicate, practise, apply, and extend. At the end of each unit there is a chapter review, a practice test, a wrap up of the chapter problem, and a page of math games. Additionally, there is a “Challenge in Real Life” project that may be used for summative assessment using the rubric assessment tool provided in the teacher’s guide. The teacher’s guide provides suggestions for supporting all learners, and addresses common misunderstandings. It also provides a planning chart and assessment planner for each unit. Extra practice exercises and a chapter test are available on the CD-ROM. Grade Level K 1 2 3 4 5 6 7 Suggested Use: Number; Patterns and Relations; Shape and Space; Statistics and Probability Distributor McGraw-Hill Ryerson Limited 300 Water St WHITBY ON L1N 9B6 (800) 565-5758 (905) 430-5000 Fax: (800) 463-5885 E-mail: [email protected] Website: www.mcgrawhill.ca Components Student Text Price: $54.95 hdc. ISBN: 978-0-07-097335-0 Teacher’s Resource with CD-ROM Price: $250.00 binder ISBN: 978-0-07-097772-3 Copyright: 2007 Year Recommended: 2007 Note: Websites identified in this resource were not reviewed in the resource evaluation process. 10 8 √ Middle Level (6-9) 9 Grade Level Mathematics Teaching in the Middle School K 1 2 3 4 5 6 Annotation (CORE) Published nine times a year, this journal from the National Council of Teachers of Mathematics (NCTM) provides a range of in-depth articles and features including practical lesson ideas, teaching strategies, and problems to investigate with students. Suggested Use: Teacher Reference √ 7 √ 8 √ Distributor National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 E-mail: [email protected] Website: www.nctm.org Price: $76.00 U.S. with NCTM membership ISSN: 1072-0839 Year Recommended: 2007 Middle Level (6-9) 11 9 √ Grade Level Mental Math in Junior High: Blackline Masters K Authors: Hope, Jack, Reys, Barbara J. and Reys, Robert E. Suggested Use: Number Annotation (CAN, WNCP) This resource presents strategies for teaching mental mathematics. It focuses on more difficult mental calculations with whole numbers. Students learn techniques such as searching for compatibles, tacking on trailing zeros, and front end multiplying. Thirty-six lessons are organized in four units: "The Memory of a Mentalmathlete," "Doing Several Things at Once," "Complicated Mental Calculations," and "An Interesting Number Pattern.” Each lesson contains an introductory page to the new mental mathematics strategy, a powerbuilder page, with two sets of practice problems, and a review page. There is a progress test, with suggestions for administration at the end of each unit. A cumulative test designed to be used as a pretest and post-test and answer keys for all practice sets and tests are also provided. 1 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ Distributor Pearson Education Canada School Division 195 Harry Walker Pky North NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Price: $20.50 pbk. ISBN: 978-0-86651-433-0 Copyright: 1988 Year Recommended: 1996 Note: Imperial measures are used occasionally. 12 Middle Level (6-9) 8 √ 9 √ Nelson Math Focus 7 Authors: Small, Marian, et al. Annotation (CORE, CAN, WNCP) This resource consists of a hardcover student text and a set of 13 teacher resource modules. The teacher resource modules present suggestions for lesson plans and the pacing of each chapter. Each of the modules relates to a chapter in the student text. The lesson plans include differentiated instruction suggestions, such as extra challenge activities and extra student support activities, as well as differentiated learning support. Possible specific student misunderstandings are dealt with in the extra support section of the differentiated learning section. Additionally, each teacher module presents extra activities and assessment suggestions, such as rubrics and checklists. Each chapter in the student text contains a mid-chapter checkup, a chapter self-test, a chapter review, a mathematics game, outcome-related “curious math” activities, and a chapter task, as well as periodic cumulative reviews. A variety of solutions to questions are provided to support the use of personal strategies. Grade Level K 1 2 3 4 5 6 7 8 √ Suggested Use: Number; Patterns and Relations; Shape and Space; Statistics and Probability Distributor Thomson Nelson 1120 Birchmount Rd SCARBOROUGH ON M1K 5G4 (800) 268-2222 (416) 752-9100 Fax: (800) 430-4445 E-mail: [email protected] Website: www.nelson.com Components Student Text Price: $54.95 hdc. ISBN: 978-0-17-632464-3 Teacher’s Resource Price: $269.95 binder ISBN: 978-0-17-632465-0 Copyright: 2008 Year Recommended: 2007 Note: Websites identified in this resource were not reviewed in the resource evaluation process. Middle Level (6-9) 13 9 ¤ Niktu: A Game of Algebraic Thinking Series Authors: Greenes, Carole and Findell, Carol Annotation Each level of this game offers a progressively more advanced review of algebraic concepts within a small group setting. 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. Grade Level K 1 2 3 4 5 6 √ 7 √ √ Suggested Use: Numbers; Patterns and Relations Distributor McGraw-Hill Ryerson Limited 300 Water St WHITBY ON L1N 9B6 (800) 565-5758 (905) 430-5000 Fax: (800) 463-5885 E-mail: [email protected] Website: www.mcgrawhill.ca Titles Niktu: A Game of Algebraic Thinking: Level II Price: $32.36 game ISBN: 978-1-4045-1362-4 Niktu: A Game of Algebraic Thinking: Level V Price: $32.36 game ISBN: 978-1-4045-1365-5 Copyright: 2004 Year Recommended: 2006 14 8 Middle Level (6-9) 9 √ Grade Level Out of the Labyrinth: Setting Mathematics Free K Authors: Kaplan, Robert and Kaplan, Ellen Suggested Use: Teacher Reference 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 savoured, and that it does not require special talent or ability. Everyone can enjoy mathematics. Distributor Oxford University Press 70 Wynford Dr DON MILLS ON M3C 1J9 (800) 387-8020 (416) 441-2941 Fax: (800) 665-1771 E-mail: [email protected] Website: www.oup.com/ca/ √ 1 √ 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ 8 √ Price: $29.95 hdc. ISBN: 978-0-19-514744-5 Copyright: 2007 Year Recommended: 2007 Middle Level (6-9) 15 9 √ The Pattern and Function Connection Authors: Fulton, Brad S. and Lombard, Bill Annotation Through study and analysis of patterns, this resource provides support for building logical understanding of relations, linear and nonlinear functions, and function rotation. Authentic applications are posed in the suggested activities, discussions, journal topics, and homework assignments. Grade Level K 1 2 3 4 5 6 7 Suggested Use: Patterns & Relations; Teacher Reference Distributor Spectrum Educational Supplies Ltd. 150 Pony Dr NEWMARKET ON L3Y 7B6 (905) 898-0031 (800) 668-0600 Fax: (800) 668-0602 E-mail: [email protected] Website : www.spectrumed.com Price: $30.95 pbk. ISBN: 978-1-55953-395-9 Copyright: 2001 Year Recommended: 2004 16 8 √ Middle Level (6-9) 9 Pearson Math Makes Sense 7. WNCP ed. Authors: Garneau, Marc, et al. Annotation (CORE, CAN, WNCP) This resource consists of a student text and teacher’s guide with a DVD and CD-ROM. The student text is hardcover while the teacher’s guide consists of separate unit booklets within a binder. Both the DVD and CD-ROM contain pdf and editable files. The teacher’s guide includes year plans, lesson plans, additional activities, ESL strategies, alternative exploration ideas, strategies to deal with common misconceptions, a how-to help section, extension ideas, and assessment tools. Lessons follow a consistent format of a launch to access prior knowledge, introduction to the concept(s), tutorial examples, and practice problems. New terms are introduced in boldly coloured text boxes. Student text lessons require students to explore the concept, make real-life connections, practise the skill, and reflect on what they have learned. The student text is in colour and includes mid-unit reviews, unit reviews, practice tests, unit problems, answer keys, a glossary, and an index. Grade Level K 1 2 3 4 5 6 7 8 √ Suggested Use: Number; Patterns and Relations; Shape and Space; Statistics and Probability Distributor Pearson Education Canada School Division 195 Harry Walker Pky N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Components Student Book Price: $44.95 hdc. ISBN: 978-0-321-43155-4 Teacher’s Guide Price: $349.95 binder ISBN: 978-0-321-43156-1 Copyright: 2007 Year Recommended: 2007 This resource provides for both formative and summative assessment. Each unit has assessment focus questions within each lesson, a unit rubric, a reflection of the unit, and a unit test. Note: Websites identified in the teacher’s guide were not reviewed in the resource evaluation process. Middle Level (6-9) 17 9 Perspectives on Indigenous People of North America (Changing the Faces of Mathematics Series) Editors: Hankes, Judith Elaine and Fast, Gerald R. Annotation (CORE) This resource is a collection of essays related to teaching mathematics in a culturally relevant way to First Nations people of North America. It is devoted to discussing ways of helping First Nations students make meaningful connections between school mathematics and their culture. The authors stress the need to present mathematical concepts within the context of daily life scenarios, and they illustrate ways to involve students in culturally related mathematical activities. Examples include suggestions for teaching numbers and operations concepts using traditional games, and for introducing students to a variety of number systems specific to North American First Nations people. Many geometrical concepts and patterns are immersed in culturally relevant arts and crafts. Some activities lend themselves to co-operative group or partner work, while others are better structured as independent study. An excellent section on portfolios and the paradigm shift in mathematics assessment is included. Grade Level K √ 1 √ 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ √ Suggested Use: Teacher Reference Initiative: First Nations, Inuit, and Métis Content and Perspectives Distributor National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 E-mail: [email protected] Website: www.nctm.org Price: $25.95 U.S. pbk. ISBN: 978-0-87353-506-9 Copyright: 2002 Year Recommended: 2005 Note: Because this is an American resource, some terminology is inconsistent with what is culturally appropriate in Canada. For example, the term “Eskimo” rather than “Inuit” appears in one of the essays. Also, many of the pedagogical principles presented in this essay apply to all students across cultures. 18 8 Middle Level (6-9) 9 √ Salmon Fishing: Investigations Into Probability (Math in a Cultural Context Series: Lessons Learned From Yup’ik Eskimo Elders) Authors: Adam, Aishath Shehenaz, et al. Annotation (CORE) Modules in this series provide an excellent example of how to explore the multiculturalism of mathematics while promoting deep understanding, communication, and critical thinking. This kit includes a book, two CDs, and two posters. Salmon Fishing offers the perspectives of a Yup’ik subsistence fisher. Knowledge of the salmon’s life cycle, how to fish, and where to fish, determine the probability of catching fish. The module embeds Yup’ik cultural values, and introduces Yup’ik games of chance to further explore concepts of probability and fairness. Cultural notes, teacher notes, math notes, and assessment ideas offer instructional support. This resource facilitates connections to and integration with other subject areas. Grade Level K 1 2 3 4 5 6 √ 7 8 √ Suggested Use: Statistics and Probability Initiative: First Nations, Inuit, and Métis Content and Perspectives Distributor Temeron Books Inc. 1220 Kensington Road NW Suite 210 CALGARY AB T2N 3P5 (403) 283-0900 Fax: (403) 283-6947 E-mail: [email protected] Website: www.temerondetselig.com Price: $32.95 kit ISBN: 978-1-55059-305-1 Copyright: 2005 Year Recommended: 2007 This resource series was developed in partnership by the Yup’ik Inuit Elders in Alaska and with the University of AlaskaFairbanks. It provides an authentic example of ways to integrate Inuit content, to incorporate cultural ways of knowing, and to bridge gaps between different ways of knowing and understanding. The series includes cultural stories given by Elders. The focus is on Alaska’s Yup’ik people. Students from all cultural backgrounds should find the activities engaging. Note: Imperial measurements, along with some metric measurements, are used. Also, the term “Eskimo” appears instead of “Inuit,” which is the culturally appropriate term in Canada. Teachers are encouraged to use and adapt the materials as needed to support Saskatchewan’s mathematics curriculum. Middle Level (6-9) 19 9 Grade Level Sir Cumference and the Dragon of Pi: A Math Adventure K Author: Neuschwander, Cindy and Geehan, Wayne, illustrator Suggested Use: Shape and Space Annotation Suffering from a stomachache, Sir Cumference mistakenly drinks a magic remedy that transforms him into a dragon. His son, Radius, valiantly 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. It is declared that henceforth pie with an e will be for eating and pi without an e will be the name of this number for all things round. This medieval tale provides a clever introduction to the irrational number pi. Because the story uses Imperial measurements it is important that students be given opportunities to conduct similar measurement activities using the metric system. 20 1 2 3 4 5 6 7 √ Distributor Monarch Books of Canada 5000 Dufferin St DOWNSVIEW ON M3H 5T5 (800) 404-7404 (416) 663-8231 Fax: (416) 736-1702 E-mail: [email protected] Website: www.monarchbooks.ca Price: $8.95 pbk. ISBN: 978-1-57091-164-4 Copyright: 1999 Year Recommended: 2003 Middle Level (6-9) 8 9 Grade Level Sir Cumference and the First Round Table: A Math Adventure K Author: Neuschwander, Cindy and Geehan, Wayne, illustrator Suggested Use: Shape and Space Annotation Set in a medieval castle, an oversized table causes the king and his gathered knights the inability to discuss royal matters effectively. Different geometric table configurations are suggested; however, each new figure presents a new dilemma. After the table undergoes several reconstructions, King Arthur finally determines that the circle is the perfect shape for a table. To celebrate, the king aptly renames his group of trusted knights as the Knights of the Round Table. Humorous mathematical puns and geometric definitions are combined in this clever tale. Middle Level (6-9) 1 2 3 4 5 6 7 8 √ Distributor Monarch Books of Canada 5000 Dufferin St DOWNSVIEW ON M3H 5T5 (800) 404-7404 (416) 663-8231 Fax: (416) 736-1702 E-mail: [email protected] Website: www.monarchbooks.ca Price: $8.95 pbk. ISBN: 978-1-57091-152-1 Copyright: 1997 Year Recommended: 2003 21 9 Grade Level Teaching Mathematics Through Problem Solving: Grades 6-12 K Editor: Schoen, Harold L. Suggested Use: Teacher Reference Annotation This volume and its companion, published by the National Council of Teachers of Mathematics, is a professional researchbased resource that promotes a problemsolving 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 on how to select and use appropriate tasks and learning tools, and provide examples of the use of this approach in various classroom settings. Distributor National Council of Teachers of Mathematics 1906 Association Dr RESTON VA 20191-1502 (800) 235-7566 (703) 620-9840 Fax: (703) 476-2970 E-mail: [email protected] Website: www.nctm.org 22 1 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ Price: $38.95 U.S. pbk. ISBN: 978-0-87353-541-0 Copyright: 2003 Year Recommended: 2006 Middle Level (6-9) 8 √ 9 √ Teaching Mathematics Vocabulary in Context: Windows, Doors, and Secret Passageways Author: Murray, Miki Annotation This 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. Middle Level (6-9) Grade Level K 1 2 3 4 5 6 √ 7 √ 8 √ Suggested Use: Teacher Reference Distributor Pearson Education Canada School Division 195 Harry Walker Pky NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Price: $24.25 pbk. ISBN: 978-0-325-00634-5 Copyright: 2004 Year Recommended: 2006 23 9 √ Teaching Student-Centered Mathematics: Grades 5-8 (The Van de Walle Professional Mathematics Series) Authors: Van de Walle, John A. and Lovin, LouAnn H. (CORE) This teacher reference promotes the use of problem-based activities to develop students’ conceptual understanding of mathematical concepts. It emphasizes the idea that math makes sense. The opening chapter outlines the foundations for studentcentred instruction, and serves as the underpinning for all other chapters. This resource highlights the need for ongoing assessment that is integrated with instructional planning. Numerous practical examples of problem-based activities, assessment notes, and ideas for integrating technology into instruction are included, and readers are encouraged to reflect on various concepts presented throughout the resource. A CD-ROM accompanies this title, providing an electronic version of the book with additional tips and video clips to illustrate various concepts. 24 Grade Level K 1 2 3 4 5 √ 6 √ 7 √ Suggested Use: Teacher Reference Distributor Pearson Education Canada School Division 195 Harry Walker Pky N NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Price: $165.00 pbk. ISBN: 978-0-321-42056-5 Copyright: 2006 Year Recommended: 2007 Middle Level (6-9) 8 √ 9 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 (in print and CD-ROM format), teachers are shown how to extend students’ thinking 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 Elementary and Middle Level mathematics classrooms. Teacher commentaries provide realistic examples. End-of-chapter challenges offer ideas for problems and activities in class. Middle Level (6-9) Grade Level K 1 2 √ 3 √ 4 √ 5 √ 6 √ 7 √ 8 √ Suggested Use: Teacher Reference Distributor Pearson Education Canada School Division 195 Harry Walker Pky NEWMARKET ON L3Y 7B4 (800) 361-6128 (905) 853-7888 Fax: (800) 563-9196 E-mail: [email protected] Website: www.pearsoned.ca Price: $30.74 pbk. ISBN: 978-0-325-00565-2 Copyright: 2003 Year Recommended: 2006 25 9 √