geogebra mark dawes university of cambridge comberton village college geogebra institute of...
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GeoGebra
Mark Dawes University of Cambridge
Comberton Village CollegeGeoGebra Institute of Cambridge
[email protected] www.geogebra.org
and the STEM agenda
http://xkcd.com/435/
xkcd
Every Child Matters (ECM)
According to the British government, every child should:
• be healthy • stay safe • enjoy and achieve • make a positive contribution • achieve economic well-being
STEM
• achieve economic well-being
ScienceTechnologyEngineeringMathematics
Engineering
Technology
STEMScienceTechnologyEngineeringMathematics Science
Maths
Are the parts of mathematics that do not have applications to S, T and E considered to be worthless?
A better model?
ScienceTechnologyEngineeringMathematics
Maths Science
Maths Technology
Maths Engineering
GeoGebra = Geometry Algebra+
Geometry & Graphics Window
Algebra Window
Spreadsheet+
This talk
• GeoGebra and STEM
• How much I have learned from using GeoGebra:– as a learner– as a school-teacher– from pupils in school– as a lecturer– from students at
university
Some things I learned from my pupils
Question: “Make a conjecture about the triangle in a semi-circle. Prove it.”
John’s Conjecture
John’s Conjecture
x
x
y
y
What actually happened …
John’s Conjecture
The two smaller triangles have the same area
Maddie’s Diagram
Maddie’s Diagram
Some things I learned as a teacher / as a learner
Maths Science
Maths Engineering
Interacting with important ideas
This talk
• GeoGebra and STEM
• How much I have learned from using GeoGebra:– as a learner– as a school-teacher– from pupils in school– as a lecturer– from students at
university
Tell me and I forget.Teach me and I remember.Involve me and I learn.
Benjamin Franklin