GeoGebraSTEM exploration day: Difference between revisions

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{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{DISPLAYTITLE:GeoGebra STEM Exploration}}
{{Rinfo
{{Rinfo
|type= Lesson idea
|attribution={{Tony Houghton}}
|title=GeoGebra STEM Exploration
|title=GeoGebra STEM Exploration
|tagline=Develop GeoGebra mathematical modeling projects which reach out to a wide range of users both of teachers and student users
|tagline=Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers  
|image=Nets.png
|image=Students_shot.jpg
|topic=Probability
|topic=Visualisation
|subject=Maths
|subject=Maths
|resourcenumber= M0021
|resourcenumber= M0027
|age= Secondary, KS3, KS4
|acknowledgement=This was a joint project with students, teachers and four organisations: CCITE is the umbrella organisation providing a Cambridge Centre for Innovation in Technological Education. STEM Team East provide expert engagement with schools and the CREST award. The University of Cambridge Faculty of Education project ORBIT provide research expertise, teacher education expertise and the ORBIT database (Open Resource Bank for Interactive Teaching). GeoGebra is a world-wide community developing and using the GeoGebra software.  
|content= A half-term develop ‘real life’ mathematical applications which take into account a wide variety of users. To encourage pupils to develop ‘real life’ mathematical applications which take into account a wide variety of users. To think about and meet user requirements. To experience individual ownership of their project yet communicate and collaborate to achieve their objective.  
|age= KS4,  KS3, Secondary
A complete activity description, sample student project outcome descriptions and GeoGebra applications files are provided.  
|content= GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability.
 
|Learning Objectives= By the end of the activity students were able to:
|strategy=
* Develop 'real life' GeoGebra mathematical modeling applications of interest to themselves and other users
|additional resources=
* Understand and meet the requirements of users of varying technical confidence
|useful information= Some large wooden dice that are coloured green, yellow, red and purple with stickers to show numbers (see [[Playing with Probability - Efrons Dice/Activity|this page]]). <br> Any practical probability starting point carries the risk that the results will not, in the short term, produce the expected results. This is a useful discussion point.
* Enhance their perception of the importance of teamwork and communication in technological activity
|Learning Objectives= By the end of the lesson pupils should be able to:
* see the worth of probability tables and know how to use them to solve a problem
|related resources=
|related resources=
|other=
|other=
Line 22: Line 23:
|licence=
|licence=
|format= wiki page with downloadable .doc version
|format= wiki page with downloadable .doc version
|resources= [[Playing with Probability - Efrons Dice/Activity]]
|resources= The first resource is an overall description of the activity, containing example activities and agendas:
*[[file:GeoGebra STEM Exploration.docx]]
The following resources were used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:
* [http://mathaerobics4samvedna.wikidot.com/ 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]]
 
The GeoGebra STEM Exploration document describes five GeoGebra activities and descriptions produced by the students:
*[[file:Origami.ggb]]
*[[file:parabola.ggb]]
*[[file:Plane.ggb]]
*[[file:Solar eclipse.ggb]]
*[[file:Radioactive decay.ggb]]
 
Finally, the work produced the following GeoGebra resources, descriptions and evaluations of GeoGebra in the students' own words:
*[[Origami Planes|Flying paper planes]]
*[[SolarEclipse|Solar and Lunar Eclipse]]
*[[Radioactive Decay and Carbon Dating]]
*[[Cubics|Cubic Equations and Their Roots]]
One student also produced an excellent document with links to GeoGebra files
*[[file:GeoGebra Software for Technology Enhanced Learning.docx]]
}}
}}
[[Category:CCITE]]

Latest revision as of 15:25, 15 January 2013


Students shot.jpg
Develop 'real world' GeoGebra mathematical modelling applications which reach out to a wide range of users both students and teachers

Lesson idea. GeoGebra is free, open-source software for mathematics, science and technology which has a rapidly-growing international user base. It is the STEM equivalent of “Office" style software for business. It has very many powerful features to support interactive use, which can pose a challenge for many to get started. Students are offered a unique opportunity to contribute to its adoption in UK education by developing 'real world' applications for use by students and teachers with a wide range of technical ability.

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. (edit)

Resource details
Title GeoGebra STEM Exploration
Topic
Teaching approach
Learning Objectives

By the end of the activity students were 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:

The following resources were used to stimulate the students. “Math aerobics” and using GeoGebra to model Kepler’s laws and Usain Bolt’s sprints proved highly successful:

This is also available as a separate resource at Kepler' Third Law with GeoGebra

This is also available as a separate resource at Analysing Usain Bolt using GeoGebra

The GeoGebra STEM Exploration document describes five GeoGebra activities and descriptions produced by the students:

Finally, the work produced the following GeoGebra resources, descriptions and evaluations of GeoGebra in the students' own words:

One student also produced an excellent document with links to GeoGebra files

Acknowledgement

This was a joint project with students, teachers and four organisations: CCITE is the umbrella organisation providing a Cambridge Centre for Innovation in Technological Education. STEM Team East provide expert engagement with schools and the CREST award. The University of Cambridge Faculty of Education project ORBIT provide research expertise, teacher education expertise and the ORBIT database (Open Resource Bank for Interactive Teaching). GeoGebra is a world-wide community developing and using the GeoGebra software.

License
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