Enriching Math Class Through
Productive Struggle, Spiralling Technology
&
@MrOrr_Geek
[email protected]
mrorr-isageek.com
Riding a bike
Bike Class
Tires
Pedals
week 1
Week 2-3
Handle Bars Week 4
Brakes
Gears
Week 5-8
Week 9-10
Balance
Ride
Next Course
Graduation
Bike Class Math
Measurement
Ratios
week 1
Week 2-3
Solving Linear Relations Geometry Equations Week 4
Week 5-8
Week 9-10
More
Solve Real Problems
Next Course
Graduation
Just Ride Bikes
TASKS
Contextual Visual and Concrete
CONSOLIDATE
MATH CONNECTIONS Interconnected
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INQUIRY
Routines
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Random Groups
Routines
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Vertical Non-Permanent- Surfaces
Routines
Apple TV
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Apple TV
Spiralling
Spaced vs. Massed Practice
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Spiralling
Spaced vs. Massed Practice
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Spiralling
Spaced vs. Massed Practice Measurement
Cycles
Geometry
Graphing/Linear relations Number Sense & Algebra
@MrOrr_Geek
Spiralling
How to create cycles •Start with the curriculum documents •Choose a unifying theme for each cycle (eg. relationships, transformations) or build skills, making connections along the way •Choose activities that connect multiple strands as you move through the course
Guide 5 Practices for Orchestrating Productive Mathematics Discussions
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5 Practices ….
Anticipating Monitoring Selecting Sequencing Connecting @MrOrr_Geek
5 Practices ….
Anticipating “…how students might mathematically approach the instructional task that they will work on”
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5 Practices ….
Monitoring “…paying close attention to students’ mathematical thinking and solution strategies as they work on the task”
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5 Practices ….
Selecting “…the teacher can select particular students to share their work with the rest of the class to get specific mathematics into the open for examination”
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5 Practices ….
Selecting “…the teacher can select particular students to share their work with the rest of the class to get specific mathematics into the open for examination”
@MrOrr_Geek
5 Practices ….
Sequencing “…the teacher can then make decisions regarding how to sequence the student presentations”
@MrOrr_Geek
5 Practices ….
Connecting “…draws connections between their solutions and other students’ solutions as well as make key mathematical ideas in the lesson”
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5 Practices ….
Think or choose an upcoming task/problem…. How you can revamp the task to make use of the 5 practices @MrOrr_Geek
Anticipating Monitoring Selecting Sequencing Connecting
5 Practices ….
Routines Estimation180
VisualPatterns.org
WODB.ca
SolveMeMobile
@MrOrr_Geek
Warm Ups
WouldYouRatherMath
What has changed?
2011-12
2011-12
2014-15
2014-15
Introduction of whiteboards & Open Questions
Spiralling
Cohort Comparison EQAO 2011-12 Never met standard
EQAO 2014-15 Maintained
21% 54%
15% 10%
Fell
Traditional
Never met standard
Maintained
Rose to standard Fell Rose to standard After Spiralling
Lagged homework in academic
HOMEWORK
Assessment Feedback heavy weekly quizzes
Only accept Goodness
Assessment Dedicate one day a week for improvement
Assessment/Evaluation
@MrOrr_Geek
[email protected]
mrorr-isageek.com
Frodo Superman Maximus - Gladiator
Nemo Dorothy from Kansas
Luke Skywalker Batman @MrOrr_Geek
A HERO’S JOURNEY
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Tension
A HERO’S JOURNEY
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Time
Tension
A HERO’S JOURNEY
BEGINNING
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Time
Tension
A HERO’S JOURNEY
CRISIS BEGINNING
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Time
A HERO’S JOURNEY
Tension
CLIMAX
CRISIS BEGINNING
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Time
A HERO’S JOURNEY
Tension
CLIMAX
CRISIS END BEGINNING
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Time
Tension
CLIMAX
CRISIS BEGINNING
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END
A HERO’S JOURNEY Time
Tension
CLIMAX
CRISIS END BEGINNING
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LEARNER’S JOURNEY Time
Math Class @MrOrr_Geek
Math Class 1. Take Up Homework
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Math Class 1. Take Up Homework 2. Definitions, Formulae, Procedures/Algorithms
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Math Class 1. Take Up Homework 2. Definitions, Formulae, Procedures/Algorithms
3. Examples
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Math Class 1. Take Up Homework 2. Definitions, Formulae, Procedures/Algorithms
3. Examples 4. Homework @MrOrr_Geek
Tension
TRADITIONAL MATH LESSONS
BEGINNING
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Time
Tension
TRADITIONAL MATH LESSONS
BEGINNING
@MrOrr_Geek
Time
Tension
TRADITIONAL MATH LESSONS
BEGINNING
@MrOrr_Geek
Time
Tension
TRADITIONAL MATH LESSONS
BEGINNING
@MrOrr_Geek
Reveal, discovery of math rules, formulas, strategies
Time
STUDENTS SHOULD FEEL THE
NEED FOR MATH
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Tension
TRADITIONAL MATH LESSONS
BEGINNING
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Reveal, discovery of math rules, formulas, strategies
Time
PRODUCTIVE STRUGGLE WITH INQUIRY
Tension
Discovery of math rules, formulas, strategies
BEGINNING
@MrOrr_Geek
Time
