Math Camp 2014 Spiraling through the curriculum Email AlexanderOverwijkocdsbca AlexOverwijk SlamDunkMathblogspotcom marybourassaocdsbca marybourassa marybourassablogspotca ID: 508141
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TwitterMathCamp2014
Spiraling through the curriculumEmail: Alexander.Overwijk@ocdsb.ca@AlexOverwijkSlamDunkMath.blogspot.com mary.bourassa@ocdsb.ca@marybourassa marybourassa.blogspot.caSlide2
Al’s story – Activity based teaching
Frustrated by the lack of engagement of our at-risk learnersSomething had to change!Opportunity to collaborate to rethink our approach and make significant changesSlide3
Spiraling deeper with Activity-Based Teaching
Curriculum is spiraled within the courseFocus on teaching through engaging activitiesActivities on a daily basis. No more units!Activities that cover more than one overall expectation are better (but not necessary)Skills developed in the “context” of the activitiesSlide4
SPIRALING ACTIVITIES /TASKS
COMPLEXITY
Teacher-directed, scaffolded activities
Investigations with greater complexity
Connections built on prior knowledge
Open-ended, student-directed,
rich learning tasks
Start
End
Co-created criteria for quality questions, communication and thinking.Slide5
Grade 10 applied mathematicsSlide6
I blogged the whole course here: http://marybourassa.blogspot.ca
Grade 10 Applied mathematicsSlide7
Every day & on all evaluations
Graphing TechnologyAlgebra TilesManipulativesPennies…anything that helps!Slide8
Benefits
Repeated opportunities
as the students do activities (for assessment, for gap filling, for retention of curriculum)
Multiple entry points for all students
Natural opportunities for differentiated instructionCollaborative learning environmentSlide9
Benefits
Increase in accountable talkImproved long-term retention of course material “Students know what they know
”Fewer discipline
problemsIncreased student
engagementMath concepts are explored through the context of the activitySlide10
Benefits
Activities are high interest, hands-on and contextualIncreased opportunity for critical thinking
Connections to the curriculum
and within the curriculum are made naturally
Lots of time to get through the courseSlide11
BenefitsSlide12
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SQUARESSlide13
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SQUARESSlide14
26 SquaresSlide15
Barbie BungeeSlide16
Ever Increasing DominoesSlide17
Cube-a-Links for Expanding and FactoringSlide18
Equal Cup StacksSlide19
RopesSlide20
Paper Clip ChallengeSlide21
Growing DinosaursSlide22
Open Strategy Cup StackingSlide23
What Questions come to mind?
‘How many cups does it take to make Mr. O’s height?’
‘In cups, what is the width of Mr. Overwijk?’
‘Is there a reason you are standing next to a cup?’
‘If Mr. O was chopped up ,how many cups would he fill?’
The most frequently asked question……
‘How many cups does it take to make Mr. O’s height?’
Open Strategy Cup StackingSlide24
Open Strategy Cup StackingSlide25
Open Strategy Cup StackingThe Anchor Chart
TitleGroup members namesDiagram of stacking planDifferent representations (table, graph, equation)Calculation of number of cups needed (multiple ways if possible)Slide26
Open Strategy Cup StackingSlide27
Describe what you learned today
After Today’s Activity what are you still unsure about or wondering about?‘That the result can change depending on how you stack them’‘I am still kinda confused about equations’‘I learned how to create proper graphs for this’‘If the result will change if different cups were used (bigger width)’
‘I learned proper graphing skills and when to use linear regression’‘I’m wondering how you would begin to go about the same activity if you do not know the height of the person’
‘Stacking cups, teamwork , sharing’‘What was the point of this, will this save my life one day stacking cups’
‘I’ve learned that there are many ways to find the same answer’‘That why can one point change the whole equation’
‘I learned that with every sample of data, an equation and graph are required. ‘
‘I am wondering how many cups would it take to reach my height’‘I learned that Mr. Overwijk’s
height in cups is 16.2 cups’
‘Is
it possible to switch x and y
?’
Open Strategy Cup StackingSlide28
Open Strategy Cup StackingSlide29
Open Strategy Cup StackingSlide30
Open Strategy Cup StackingSlide31
Open Strategy Cup StackingSlide32
Testimonials:“I really liked the activity approach because it put math into realistic, understandable situations.”
“ I took this course last year, but this year it was so much easier to understand. The ideas stuck in my head longer.”“ Pretty sick. I understood it way more than last year. I like reviewing everything over and over again. Not just doing it once and it being on the examSlide33
Testimonials:“The different things we learned were constantly brought up instead of being put into several units
. I liked the activities because it was easier to work on my own with the worksheets after the activity.”“ The lessons were very simplistic and the fact that we rotated through the different lessons was very practical and we didn’t forget the lessons we learned at the start of the course before the exam.”“ We did a lot of activities with props, which helped me understand the lessons better. The fact that we did the paper clip challenge that no other class was able to do was exciting. The more activities we did the more it helped me to understand. We should play more games than work on worksheets.”