TI-Nspire™ Technology Authoring with Pedagogy in Mind

TI-Nspire™ Technology
Authoring with Pedagogy in Mind
Marc Garneau • piman@telus.net • @314Piman
bit.ly/2014T3Garneau
Thursday, March 6, 14
Sense-Making
✴ Write down two numbers that add to ten.
✴ Now write down two numbers that subtract to
get ten.
✴ Write down two numbers that do both at the
exact same time!
Is that even
possible??!!??
Thursday, March 6, 14
Sense-Making
✴ Write down two numbers that add to ten.
✴ Now write down two numbers that subtract to
get ten.
✴ Write down two numbers that do both at the
exact same time!
Is there more than
one answer?
Thursday, March 6, 14
Thursday, March 6, 14
Thursday, March 6, 14
Thursday, March 6, 14
Technology for Learning
Understanding
Passive
Active
Knowledge
Thursday, March 6, 14
QUADRANT IV
Thursday, March 6, 14
Math Nspired
Balanced_Systems_of_Equations.tns
What do you like?
What could be improved?
Tips ‘n Tricks
number line
dynamic text
balances
Thursday, March 6, 14
Pedagogical Considerations
Discovery ~ I notice... I wonder...
Action-Consequence & the Connection
Prediction, Conjecture, Generalization, Sense-Making
Visual
Who’s doing the math?
black box vs. white box
conceptual vs. procedural
learning isn’t a spectator sport
Questioning
Thursday, March 6, 14
Technology [ T ]
can be used effectively to contribute to and support the
learning of a wide range of mathematical outcomes
enables students to explore and create patterns, examine
relationships, test conjectures and solve problems
contributes to a learning environment in which the
curiosity of students can lead to rich mathematical
discoveries at all grade levels
should be used as one of a variety of approaches and tools
for creating mathematical understanding
Thursday, March 6, 14
Common Core Standards
for Mathematical Practice
Make sense of problems and
persevere in solving them.
Reason abstractly
and quantitatively
Construct viable arguments and
critique the reasoning of others.
Model with
Mathematics
Look for and make
use of structure.
Thursday, March 6, 14
Use appropriate
tools strategically.
Attend to
precision.
Look for and express regularity
in repeated reasoning.
Design Considerations
Pedagogical considerations
Clean & simple
Show only what is needed, when it is needed
Hide extraneous stuff, eg: scale value
It’s got to work
No errors/breaks/etc.
Avoid lag time
Anticipate the unanticipated
eg: don’t let points be able to be dragged off screen
Avoid bad math
Simplicity • Restraint • Interaction
Thursday, March 6, 14
Other Tips ‘n Tricks
Dynamic elements
Snapping
Randomization
Colour-coordination
Approxrational
Thursday, March 6, 14