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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)
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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
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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
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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
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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
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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.
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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
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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)
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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
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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
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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
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Price: $22.75 pbk.
ISBN: 978-0-325-00506-5
Copyright: 2003
Year Recommended: 2007
Middle Level (6-9)
9
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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.
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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
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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
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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.
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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
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9
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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
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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
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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
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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/
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Price: $29.95 hdc.
ISBN: 978-0-19-514744-5
Copyright: 2007
Year Recommended: 2007
Middle Level (6-9)
15
9
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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
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Middle Level (6-9)
9
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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
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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
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5
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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
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Middle Level (6-9)
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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
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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
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3
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5
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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
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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
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Price: $38.95 U.S. pbk.
ISBN: 978-0-87353-541-0
Copyright: 2003
Year Recommended: 2006
Middle Level (6-9)
8
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9
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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
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7
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8
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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
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•
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
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6
√
7
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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
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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
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3
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4
√
5
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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
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