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B U I L D I N G C A PAC I T Y
COMMUNITIES OF LEARNERS
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FIVE DSB1 Teachers Attend Ministry Math Camp in August 2011
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RESEARCH ON GROWING LINEAR PATTERNS BY CATHY BRUCE AND RUTH BEATTY
GRADES: 5-8
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TEACHERS ALSO ATTEND SESSIONS FOR GRADES 3-6 AND K-3
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PROPORTIONAL REASONING K-3
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OAME LEADERSHIP CONFERENCESPRING 2011
Multiple Representations
of Fractions(Junior Division)
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OAME LEADERSHIP CONFERENCE, SPRING 2011
Rich, Authentic Tasks for Problem-
Based Learning
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OAME LEADERSHIP CONFERENCE
Intermediate Division
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Co-Planning
SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...
SMART Response QuestionTo set the properties right click and selectSMART Response Question Object->Properties...
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Co-Teaching/Observing
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PD at DJPS
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NOMA Northern
Ontario Math Association
Satellite Site: New Liskeard Board Office,
Saturday, October 22, 2011
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PD at DJPS
NOMA Saturday,
October 22, 2011
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GROWING LINEAR PATTERNS
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Input Output
1 4
2 7
3 10
4 13
5 16
WHAT IS ADDITIVE THINKING?
1
2
3
+3+3
+3+3
When students use additive thinking, they consider the change in only one set of data. For instance, in the examples below, students can recognize that the pattern increases by 3 blue tiles each time, or that the value in the right column increases by 3 each time. Students who utilize only additive thinking do not recognize the co-variation between the term number and tiles, or between the two columns in the table.
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MULTIPLICATIVE THINKING Understanding the co-variation of two sets of data For instance, in this pattern, the mathematical structure
can be articulated initially by a pattern rule, number of tiles = term number x3+1
In older grades more formal symbolic notation can be used, y=3x+1
This allows students to confidently predict the number of tiles for any term of the pattern
1 2 3
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Multiple Representations
of Growing Linear Patterns
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GROWING LINEAR PATTERNS
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Tiles = position number x1+1Tiles = position number x3+1Tiles = position number x5+1
What is similar in the 3 rules? What is different?What is similar in the 3 patterns? What is different?What is similar about the trend lines on the graph? What is different?
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Tiles = position number x3+2Tiles = position number x3+6Tiles = position number x3+9
What is similar in the 3 rules? What is different?What is similar in the 3 patterns? What is different?What is similar about the trend lines on the graph? What is different?
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JUSTIFICATION FRAMEWORK
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Landscape of Learning
Patterning and Algebra K-8
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EQAO, Report Card
Implementation
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SUMMER INSTITUTE:AUGUST, 2011
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SUMMER INSTITUTE GETS TEACHERS FROM ACROSS THE BOARD SHARING
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SUMMER INSTITUTE PROMOTES COLLABORATIVE PLANNING
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NETWORKING BETWEEN SCHOOLS
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FLUENCY IN OPERATIONS THROUGH MATH ACTIVITIES
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SUMMER INSTITUTE 2011: GROWING LINEAR PATTERNS FOR THE CLASSROOM
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OUR GOALS:• Focus on student achievement• Build trust with principals, teachers, families• Collective efficacy• Build mathematics leadership capacity • Increasing student comfort/enthusiasm for math• Respect for specialization and diversity• Collective learning• Support each other with challenges• Build on each other’s learning
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LEADERSHIP“The heart of school improvement rests in
improving daily teaching and learning practices in
schools, including engaging students and their families.” Ben Levin, 2008