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Slides from a short talk with pre-service Middle Years Math teachers at Brandon University on December 1, 2009.
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A Day In The Lifeof a teacher teaching with technology
(from principle to practice x 3)
Darren KuropatwaMECY Sr Years ICT Consultant
Brandon University, December 1, 2009
My Prejudices
Why don’t students do better in mathematics?
John Allen Paulos
Why should we care about mathematics?
job skills, needs of science and technology
play
Why should we care about mathematics?
job skills, needs of science and technology
essential understanding to be a responsible citizen
transcendence
curiosity
beauty
and
play
Why should we care about mathematics?
essential understanding to be a responsible citizen
transcendence
curiosity
beauty
and
Why don’t students do better in mathematics?5 misconceptions about math
(1) mathematics = computation
Why don’t students do better in mathematics?5 misconceptions about math
(1) mathematics = computation
pattern recognition
Year were you born
a little magic ...
a little magic ...
Year of a significant event in your life
a little magic ...
Your age
a little magic ...
Years that have passed since the significant event
Year were you born
a little magic ...
Years that have passed since the significant event
Your age
Year of a significant event in your life
Year were you born
a little magic ...
Years that have passed since the significant event
Your age
Year of a significant event in your life
++
Why don’t students do better in mathematics?5 misconceptions about math
(2) it’s strictly hierarchical
Why don’t students do better in mathematics?5 misconceptions about math
(2) it’s strictly hierarchical learning is networked
Why don’t students do better in mathematics?5 misconceptions about math
(3) no place for storytelling
Why don’t students do better in mathematics?5 misconceptions about math
(3) no place for storytelling
contextualizes learning
Why don’t students do better in mathematics?5 misconceptions about math
(4) exclusivity: few people can understand math
accessible to everyone
Why don’t students do better in mathematics?5 misconceptions about math
(4) exclusivity: few people can understand math
Why don’t students do better in mathematics?
(5) it’s a numbing discipline, lacking lustre or beauty
Why don’t students do better in mathematics?
(5) it’s a numbing discipline, lacking lustre or beauty
A Day In The Life
Darren Kuropatwahttp://adifference.blogspot.com
of a teacher teaching with technology(from principle to practice x 3)
Alarm Rings
Wake Up
Time To Go
iPod Ready
for -35°C
iPod Ready
for 7°C
Steppin’ Out
Catchin’ the Bus
DMCI
My Class
Firing Up the SMARTboard
Workshop
TEACHERS MUST ENGAGE STUDENTSʼ PRECONCEPTIONS
(Principle 1) Studentsʼ Errors and Misconceptions Based on Previous Learning
Students come to the classroom with conceptions of numbers grounded in their whole-number learning that lead them astray in the world of rational numbers; e.g. multiplying always makes numbers bigger.
x =
UNDERSTANDING REQUIRES FACTUAL KNOWLEDGE AND CONCEPTUAL FRAMEWORKS
The Knowledge Network: New Concepts and New Applications(Principle 2)
A METACOGNITIVE APPROACH ENABLES STUDENT SELF-MONITORING
(Principle 3)
Metacognition
Watch It. Do It.
practice #1
Teach It.
practice #1
Watch It. Do It. Teach It.
practice #1
REVEALS STUDENTSʼ PRECONCEPTIONS
x =
Watch It. Do It. Teach It.BUILDS CONCEPTUAL AND SOCIAL NETWORKS
practice #1
Watch It. Do It. Teach It.
practice #1
PROMOTES METACOGNITION
Next Problem
practice #2
Lunch
School Day Ends
My SlideSpace
practice #2
Transparency
practice #2
share everything
practice #2
Thinking
practice #2
REVEALS STUDENTSʼ PRECONCEPTIONSTransparency & Sharing
practice #2
x =
Transparency & SharingBUILDS CONCEPTUAL AND SOCIAL NETWORKS
practice #2
Transparency & Sharing
practice #2
PROMOTES METACOGNITION
Leaving
Search Engine & Spark
http://www.cbc.ca/searchengine/
Spark
http://www.cbc.ca/spark
The Other End of the Street
Home Again,
Home Again,
Jiggity Jig!
Dinner, Magic, Bath, Compass & Bed
Class Blogs
practice #3
Learning is a Conversation
practice #3
65
66
67
68
Dale’s Cone of Experience
70
Create Content That Educates
71
assignmentthe
flickr®
72
assignmentthe
wiki solutions manual
73
projectthe
developing expert voices
Learning Requires Reflection
practice #3
Learning Requires Reflection
practice #3
TEACHERS MUST ENGAGE THEIR OWN PRECONCEPTIONS
(Principle 1) Teachersʼ Errors and Misconceptions Based on Previous Learning
x =
CONCEPTUAL AND SOCIAL NETWORKS
Build Knowledge Networks (Principle 2)
ACTIVELY AND TRANSPARENTLY REFLECT ON YOUR TEACHING
(Principle 3)
Metacognition
Catch Up on My Reading
http://reader.google.com
K12 Online Conference
http://k12onlineconference.org
“learning is a conversation”
questions
Credits
This body is networkedhttp://flickr.com/photos/funksoup/403990660/
The Thinkerhttp://flickr.com/photos/renny1967/1509761982/
Pewter Letters Numbershttp://flickr.com/photos/lwr/sets/72157594512642436/
How Students Learnhttp://books.nap.edu/catalog.php?record_id=10126
all other images (cc) dkuropatwahttp://www.flickr.com/photos/dkuropatwa/tags/adayinthelife/
220http://www.flickr.com/photos/jeope/249159137/
DNAhttp://www.flickr.com/photos/ghutchis/124782978/
Transparencyhttp://flickr.com/photos/lightmash/2393645062/
Sharinghttp://flickr.com/photos/furiousgeorge81/177926979/
Girl Talkhttp://flickr.com/photos/e06158/2272739708/
My Class Blogs 2008-2009
Pre-Cal 40S (Winter 2009)http://pc40sw09.blogspot.com
AP Calculus AB (2008-2009)http://apcalc2008.blogspot.com
Applied Math 40S (Winter 2009)http://am40sw09.blogspot.com
reflectionhttp://flickr.com/photos/barnett/206994953/
thoughtfulhttp://flickr.com/photos/ronlayters/440835731/
the thinkerhttp://www.flickr.com/photos/mattwright/526492646/
Mira reading the Griffiths Quantum Texthttp://flickr.com/photos/ailric/390832774/
workstationhttp://www.flickr.com/photos/striatic/241843728/
Big Screen Reflectionhttp://www.flickr.com/photos/benward/181425257/
start of the mobile content erahttp://www.flickr.com/photos/lynetter/329280898
Pre-Cal 30S (Fall 2008)http://pc30sf08.blogspot.com
Applied Math 20S (Fall 2008)http://am20sf08.blogspot.com
Pre-Cal 20S (Fall 2008)http://pc20sf08.blogspot.com
John Allen Pauloshttp://en.wikipedia.org/wiki/File:John_Allen_Paulos.JPG
Question markhttp://www.flickr.com/photos/marcobellucci/3534516458/
thanks
Darren Kuropatwahttp://adifference.blogspot.com
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