GeoGebra

Mark Dawes University of Cambridge

Comberton Village CollegeGeoGebra Institute of Cambridge

md437@cam.ac.uk 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