GeoGebraSTEM exploration day

Develop 'real world' GeoGebra mathematical modeling applications which reach out to a wide range of users both students and teachers

Lesson idea. GeoGebra is mathematics software that is going viral globally. It has many similarities with Excel, is free and highly interactive yet remains a challenge for many to get started. Students are offered a unique opportunity to contribute to its deployment in the UK by developing 'real world' applications for use by a wide technical ability range of students and teachers. In addition to a technical challenge, students are tasked to demonstrate communication and collaboration skills including on-line, team-working and face-to-face presentations.

Teaching approach. The half-term activity consists of 3 half-day workshops interspersed with home-working and on-line collaboration. Each workshop is part tutorial and help in GeoGebra, part development, presentation and feedback on their emerging work. The three half-day sessions become gradually less structured as students become more confident taking the initiative in developing their own work:

An initial GeoGebra tutorial session features ‘real life’ examples such as mathematical modelling^(ta) and visualisation^(ta) from photographs of patterns and structure in flowers and architecture; exercises such as “math aerobics” where students model algebraic functions kinaesthetically; and data analysis and exploration such as from astronomy (Kepler's 3rd law) and athletic performance (Usain Bolt’s 100m sprints). Realistic examples such as these, or from students’ previous work, are essential to get the ball rolling. Following this, the onus is very much on the student’s own initiative. The focus on ‘real life’ and student ownership of ideas and project development increases student motivation.

The activity engages pupils in group talk^(ta), mathematical thinking^(ta) and vocabulary^(ta). This open ended^(ta) task develops higher order^(ta) reasoning^(ta), and encourages whole class^(ta) discussion^(ta)/questioning^(ta) and inquiry^(ta) projects.

Resource details
Title	GeoGebra STEM Exploration
Topic
Teaching approach
Learning Objectives	By the end of the activity students should be able to: Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users Understand and meet the requirements of users of varying technical confidence Enhance their perception of the importance of teamwork and communication in technological activity
Format / structure	wiki page with downloadable .doc version
Subject
Age of students / grade
Table of contents
Additional Resources/material needed
Useful information
Related ORBIT Wiki Resources
Other (e.g. time frame)
Files and resources to view and download	The first resource is an overall description of the activity, containing example activities and agendas: File:GeoGebra STEM Exploration.docx Here are some resources (Math aerobics and two highly successful GeoGebra Kepler and Usain Bolt models) which may be used to stimulate the students: Math aerobics File:Kepler' Third Law with GeoGebra.docx File:Kepler's Third Law.ggb This is also available as a separate resource at Kepler' Third Law with GeoGebra File:Analysing Usain Bolt using GeoGebra.docx File:Bolt London 2012.ggb This is also available as a separate resource at Analysing Usain Bolt using GeoGebra Here are five GeoGebra activities produced by students which can be used to further stimulate new students: File:Origami.ggb File:Plane.ggb File:Solar eclipse.ggb File:Radioactive decay.ggb File:Cubics.ggb NB: These are described in the above GeoGebra STEM Exploration document. Finally, the work above produced the following resources in the students' own words. It will be noted that the target user age ranges vary from 5 to 9 years of age...to upper 6th...plus teachers: Flying paper planes Solar and Lunar Eclipse Radioactive Decay and Carbon Dating Cubic Equations and Their Roots
Acknowledgement
License