Education  Mathematics (Elementary)
Curriculum topics  lessons
 General
 Addition & subtraction
 Counting
 Estimating
 Fractions, percentages & decimals
 Geometry
 Measurement
 Multiplication & division
 Number sense
 Patterns
 Problem solving
 Statistics & probability
 Transformations
 Variables, equations & algebra
Websites

Invitations to mathematicsFree ebooks to assist mathematics teachers of Grades 4, 5, 6 focused on various math strands such as number sense and estimation, geometry, data management, probability, patterns and algebra and measurement.

Lesson supportsfrom Ontario Junior Math Resources

Math Central: Resource Roomfrom University of Regina

Math to the maxEdmonton Public School Board, 19992002This is a list of results from searching the UCalgary Library. This is a series developed to support the Alberta math curriculum. Topics are: Patterns & Relations, Statistics & Probability, Number Operations, Number Concepts, Measurement, and 3D objects, 2D shapes & Transformations.
See also'Curriculum topics  Lessons' in this library guide for specific grade information. 
NRICH: enriching mathematicsClick on student homes, lower and upper primary for elementary level lessons.from University of Cambridge

Teach Interactive: Mathematics (2017)No longer updated. Provides a listing of links to activities/games, interactives, and practice sites. Includes links to Learn Alberta resources.
Doucette resources

Double dare you [kit] : amazing math games using double dicePublication Date: 2003

Math Detective Beginning by Critical Thinking Publishing Staff; Terri HustedISBN: 9780894558023Publication Date: 20130114


Websites

Number: Adding and taking awayfrom: NRICH: enriching mathematicsPrimary grades 
In these activities, you can practise your skills with adding and taking away. You can also solve problems about what happens when we add or take away different numbers!
Articles

Complex Counting in KindergartenA team of teachers from the same New York City public school met to discuss and compare the Common Core State Standards for Mathematics (CCSSM) to their current math curriculum. The group consisted of four kindergarten teachers, a representative from the firstgrade teaching team, and the school's math coach. During the first meeting, the firstgrade teacher expressed a concern that many first graders relied on "counting up" to solve addition problems. She explained to the group that students who could not understand the commutative property when they arrived in September struggled when increasingly advanced addition strategies were taught. The goal for the group became clear: To find areas of the CCSSM that would provide opportunities for kindergarten students to build a strong foundation for advanced addition strategies. This article presents how the composing and decomposing small sets of objects can allow young students to see the whole group as well as the subsets that created the whole.
Doucette resources

Addition and Subtraction, PreK Grade 2 by Janet H. Caldwell; Jennifer BayWilliams; Karen Karp; Rose Mary Zbiek (Contribution by)ISBN: 9780873536646Publication Date: 20100901

Math to the max: number operationsEdmonton Public School Board
Gr. 14, 6 available (Gr.5 missing)
Websites

Number: Counting, What's next?from: NRICH: enriching mathematicsPrimary grades  These challenges are all about counting and exploring the order of the numbers.
Doucette resources

Math to the max: number conceptsEdmonton Public School Board
Gr. 16 available. 
Math to the max: number operationsEdmonton Public School Board
Gr. 14, 6 available (Gr.5 missing)
Websites
Doucette resources

Math to the max: number conceptsEdmonton Public School Board
Gr. 16 available.

Estimation station [kit]Publication Date: 2011
Websites

Number: Bits of things (intermediate grades)from: NRICH enriching mathematicsIntermediate grades  What happens when you split an object or a few objects into different piles? Try these activities to find out more about fractions!

Number: Bits of things (primary)from NRICH: enriching mathematicsPrimary grades  What happens when you split an object or a few objects into different piles? Try these activities to find out!
Articles
Doucette resources

Math Discoveries about Fractions and Decimals by Maxwell, Terry Burke.ISBN: 1564511901Publication Date: 1996

Math to the max: number conceptsEdmonton Public School Board
Gr. 16 available.

Pieceapizza fractions [kit].Publication Date: 2008

Uncomplicating Fractions to Meet Common Core Standards in Math, K7 by Marian SmallISBN: 9780807754856Publication Date: 20131213
Websites

3D objects and 2D shapesfrom: Galileo.org

Geometry and Spatial Sense, Grades 4 to 6 A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6from Ontario Ministry of Education, 2008

Shapes, Position and Movement: Shapesfrom: NRICH: enriching mathematicsPrimary grades  These activities are all about shapes!
Articles
Doucette resources

Math to the max: 3D objects, 2D shapes and transformationsEdmonton Public School Board
Gr. 16 available.
Seach catalogue using: math to the max transformations to get list. 
Math to the max: patterns & relationsEdmonton Public School Board
Gr.16 available.
Search in catalogue: math to the max patterns.
Websites

Measurement, Grades 4 to 6 A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6from Ontario Ministry of Education, 2008

Measurementsfrom: Galileo.org
Articles

Using STEM to Reinforce Measurement SkillsTo master measurement, elementary school students need opportunities to discuss how they measured and applied their developing skills and reasoning in context. When measurement is taught without a context, students may struggle to make sense of the numbers and units involved. iSTEM (Integrating Science Technology Engineering in Mathematics) authors share ideas and activities that stimulate student interest in the integrated fields of science, technology, engineering, and mathematics (STEM) in K–grade 6 classrooms.
Doucette resources

Math to the max: shape & space: measurementEdmonton Public School Board
Grades 16 available.
Search library catalogue using : math to the max measurement to get list.
Websites
Articles

Number: Multiplying and dividingfrom: NRICH: enriching mathematicsPrimary grades  Try these problems, which are all about multiplying and dividing different numbers.
Doucette resources

Project M3 by Katherine Gavin; Linda Jensen Sheffield; Suzanne H. Chapin; Judith DaileyISBN: 9780757532962Publication Date: 20061115

Lessons for Introducing Division by Maryann Wickett; Susan Ohanian; Marilyn BurnsISBN: 094135542XPublication Date: 20020701

Math to the max: number operationsEdmonton Public School Board
Gr. 14, 6 available (Gr.5 missing)
Websites

Number: Why's ten important?from: NRICH:enriching mathematicsPrimary grades  In these tasks you can explore tens and ones, and learn about the place value of numbers.
Doucette resources

Math to the max: number conceptsEdmonton Public School Board
Gr. 16 available.
Websites

Patterning and Algebra, Grades 4 to 6 A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6from Ontario Ministry of Education

Patternsfrom: Galileo.org

Patterns: Working with patternsfrom: NRICH: enriching mathematicsPrimary grades  Have a go at making and exploring different patterns in these tasks.
Doucette resources

Math to the max: patterns & relationsEdmonton Public School Board
Gr.16 available.
Search in catalogue: math to the max patterns.

Pattern block sudoku [kit].Publication Date: 2008
Websites
Articles

Sharing Beans with FriendsUsing the children's book, Bean Thirteen to develop number sense and problem solving skills. (Bean Thirteen is available in the Doucette Library.)
Doucette Resources

Math to the max: number operationsEdmonton Public School Board
Gr. 14, 6 available (Gr.5 missing)

Navigating Through Problem Solving and Reasoning in Grade 6 by Denisse Rubilee Thompson; Bonnie H. Litwiller; Michael T. Battista; Sally Mayberry; Karol L. Yeatts; Judith S. ZawojewskiISBN: 9780873536073Publication Date: 20090401

A Problem Solving Approach to Mathematics for Elementary School Teachers by Rick Billstein; Shlomo Libeskind; Johnny W. LottISBN: 0321331796Publication Date: 20060119

Problem Solving in All Seasons, PrekindergartenGrade 2 by Kim Markworth; Jenni McCool; Jennifer KosiakISBN: 9780873537711Publication Date: 20150601

Websites

Chance and uncertaintyfrom: Galileo.org

Data: Understanding informationfrom: NRICH: enriching mathematicsPrimary grades  These challenges will test your understanding of different types of information.

Data analysisfrom: Galileo.org

Data Management and Probability, Grades 4 to 6 A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6from Ontario Ministry of Education, 2008
Articles
Doucette resources

Math discoveries about data and probability with manipulatives by Sammons, Kay B.ISBN: 1564511820Publication Date: 1996

Math to the max: statistics & probabilityEdmonton Public School Board
Gr.15 available.
Websites

Transformationsfrom: Galileo.org
Doucette resources

Math to the max: 3D objects, 2D shapes and transformationsEdmonton Public School Board
Gr. 16 available.
Seach catalogue using: math to the max transformations to get list.
Websites

Patterning and Algebra, Grades 4 to 6 A Guide to Effective Instruction in Mathematics, Kindergarten to Grade 6from Ontario Ministry of Education

Relations and functionsfrom: Galileo.org

Variables and equationsfrom: Galileo.org
Articles

The Algebra ArtistMost people who are attracted to STEMrelated fields are drawn not by a desire to take mathematics tests but to create things. The opportunity to create an algebra drawing gives students a sense of ownership and adventure that taps into the same sort of energy that leads a young person to get lost in reading a good book, building with Legos®, playing a video game, or participating in a favorite hobby or sport. The Algebra Artist project described in this article for Algebra 1 Honors students asked for a minimum of twelve graphs to create the drawing. When an average of sixtythree graphs per student drawing were received, teachers knew that they had a project that captured student imagination, resulting in sustained effort, deep thinking (Carr 2010), and authentic learning. Creating algebra drawings inspires students to see graphing holistically, helping them achieve a "graphing sense" on par with number sense for elementary school and middle school students. Emphasis is on experimentation, discovery, and informal learning. Although much of the student work goes deep into high school curricula, some of the language and ideas are kept deliberately informal and appropriate for firstyear algebra students.

Just Say Yes to Early Algebra!Mathematics educators have argued for some time that elementary school students are capable of engaging in algebraic thinking and should be provided with rich opportunities to do so. Recent initiatives like the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) have taken up this call by reiterating the place of early algebra in children's mathematics education, beginning in kindergarten. Some might argue that early algebra instruction represents a significant shift away from arithmeticfocused content that has typically been taught in the elementary grades. To that extent, it is fair to ask, "Does early algebra matter?" That is, will teaching children to think algebraically in the elementary grades have an impact on their algebra understanding in ways that will potentially make them more mathematically successful in middle school and beyond? In this article, the authors share findings from a research project whose goal is to study the impact of a comprehensive early algebra curricular experience on elementary school students' algebraic thinking within a range of domains including generalized arithmetic, equivalence relations, functional thinking, variables, and proportional reasoning. The focus here is on the performance of thirdgrade students who participated in an early algebra intervention on a written assessment administered before and after instruction. The authors also discuss the strategies these students used to solve particular tasks and provide examples of the classroom activities and instructional strategies that they think supported the growth they saw in students' algebraic thinking. A bibliography is included.
Doucette resources
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