5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Technology Carlow,...
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5th Annual Conference in 5th Annual Conference in Mathematics & Statistics Service Mathematics & Statistics Service Teaching, Institute of Technology Teaching, Institute of Technology Carlow, May 24th-25th 2010. Carlow, May 24th-25th 2010. 1 Exploring Exploring Mathematics Mathematics using using Mathematical Treats Mathematical Treats Dr. Michael Brennan, Dr. Michael Brennan, Department of Mathematics Department of Mathematics Cork Institute of Technology Cork Institute of Technology
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Transcript of 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Technology Carlow,...
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Exploring Mathematics Exploring Mathematics usingusing
Mathematical TreatsMathematical Treats
Dr. Michael Brennan, Dr. Michael Brennan,
Department of MathematicsDepartment of Mathematics
Cork Institute of TechnologyCork Institute of Technology
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Student questionStudent question
``What exactly is ? ````What exactly is ? ``
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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What is ?? 3.14159265358979323846 3.14159265358979323846
oror
RatioRatio of the of the circumferencecircumference to the to the diameterdiameter of a of a circlecircle
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7
355
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Birthday Problem
How large does a group have to be to guarantee a match?
How large does a group have to be so that the chance of a match is greater than 50%
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Birthday Problem
Examples of TreatsExamples of Treats
Definition of PiDefinition of Pi
ProbabilityProbability
Geometric SeriesGeometric Series
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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1/4 + 1/16 + 1/64 + 1/256 + · · ·
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Geometric Treats
Sum of Series 0 < r < 1Sum of Series 0 < r < 1
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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What is a Mathematical Treat?What is a Mathematical Treat?
DefinitionDefinitionA A Mathematical TreatMathematical Treat is an is an educational resource, e.g. educational resource, e.g.
puzzle,animation,story,image,gamepuzzle,animation,story,image,game that that inspiresinspires and/or adds and/or adds insightinsight into into
a mathematical idea.a mathematical idea.
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Mathematical TreatsMathematical Treats
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Use of Games Use of Games Bloxorz
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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More Beginnings & EndingsMore Beginnings & Endings
CPU BlogCPU Blog Psychological Principle Primacy-Recency Psychological Principle Primacy-Recency Dr. Lisa Bullard (Active Learning) LIT2009Dr. Lisa Bullard (Active Learning) LIT2009
Active Learning Active Learning
Find Pi using a Find Pi using a Homemade ObjectHomemade Object
Create a Create a Mobius Strip
Devise Birthday Devise Birthday AnalysisAnalysis
Glass Coin Clock Mug
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Universal Universal Recycle SymbolRecycle Symbol
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Painter’s ParadoxPainter’s Paradox
Gabriels Horn has a Gabriels Horn has a finite volume and finite volume and an infinite surface an infinite surface areaarea
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Useful ResourcesUseful Resources
ColleaguesColleagues MERLOTMERLOT GeogebraGeogebra Wolfram AlphaWolfram Alpha Math WikipediaMath Wikipedia MathWorldMathWorld Maple ApplicationsMaple Applications
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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Endings...!Endings...!
Use Sparingly*Use Sparingly* Relevancy/ContextRelevancy/Context Encourage EngagementEncourage Engagement SubjectiveSubjective Reaction/Response Reaction/Response
5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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5th Annual Conference in Mathematics & 5th Annual Conference in Mathematics & Statistics Service Teaching, Institute of Statistics Service Teaching, Institute of
Technology Carlow, May 24th-25th 2010.Technology Carlow, May 24th-25th 2010.
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