Using Theoretical Constructs to Inform Teaching. John Mason IMEC9 Sept 2007. Outline. Teaching Mathematics Tasks, activities, experience, reflection Teaching People To Teach Mathematics Consistency Awareness of the role of Tasks, activities, experience, reflection. My Methods.
The canal may not itself drink, but it performs the function of conveying water to the thirsty
What you get from this session iswhat you noticehappens inside you you, and how you relate that to your own situation
Only then Check!One Sum
aOne Sum Diagrams
9999 & 10001
What numbers can be one more than
the product of four consecutive numbers?
What did you do first?
Do you encourage your learners to do this?
How often do you set tasks for themwhere they need to do this?
Sketch the graphs of a pair of straight lines whose y-intercepts differ by 2
Sketch the graphs of a pair of straight lineswhose x-intercepts differ by 2
Sketch the graphs of a pair of straight lineswhose slopes differ by 2
Sketch the graphs of a pair of straight linesmeeting all three conditions
more altless area
more altmore area
more altsame area
Same altmore area
same altless area
less altmore area
less altsame area
less altless areaMore Or Less Altitude & Area
Draw a scalene triangle
more perimless area
more perimmore area
more perimsame area
Same perimmore area
same perimless area
less perimmore area
less perimsame area
less perimless areaMore Or Less Area & Perimeter
Draw a rectangle
When can it be done? When can it not be done?
In childhood we strove to go to school, Our turn to teach, joyous as a rule The end of the story is sad and cruel From dust we came, and gone with winds cool.
Pursuing knowledge in childhood we rise Until we become masterful and wise But if we look through the disguise We see the ties of worldly lies
Myself when young did eagerly frequent Doctor and Saint, and heard great ArgumentAbout it and about: but evermore Came out by the same Door as in I went
Doing Talking Recording
One thing we do not often learn from experience, is that we do not often learn from experience alone
Absence of evidenceis NOTevidence of absence
A sequence of experiences does not add up to an experience of that sequenceProtases
Teaching takes place in timeLearning takes place over time
Material WorldWorlds of Experience