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I have been having a great time recently updating a collection of free dynamic GeoGebra assessment/exploration tasks that I created a few years back. Not sure whether you would call them algebraic geometry or geometric algebra - I suspect the latter, since the aim is to provide dynamic visual and practical applications for students to build algebraic models in a carefully sequenced and scaffolded way.

This is a powerful pathway to help students build deep understanding of algebra through interesting, dynamic and practical applications, beginning with firm numerical foundations, using real language to make sense of functions and variables, and offering detailed scaffolding and support throughout the process.

Learning to use and to interpret computer-based versions of their mathematics can place additional barriers between our students and the skills and content they are trying to learn. The tasks here support students in entering their mathematics in correct form using MathQuill (the original text-based entry version is available if preferred) and results are presented correctly using MathJax.

And student responses, scores and even times spent on each item can be readily sent to a secure class spreadsheet created by the teacher using Google Drive.

From junior secondary algebra (Pythagoras' Theorem, area of a triangle, similar triangles) to seniors (exponential and logarithmic functions and calculus extensions) the tasks currently available offer something for just about everyone.

If you have any questions or would like to share your experience with these tasks, please drop me an email!

 
Task Block

Would you like some step-by-step help with your algebra?

  • Check My Steps

  • Do you have some data and want a quick and easy way to visualize it?

  • View My Data
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    Some guided exploration activities...

  • Exploring Lines of Best Fit,
  • Investigating Inversions,
  • Exploring the Parabola,
  • The Witch of Agnesi.
  • ... and one that is not one of mine, but is just lovely...

  • Platonic Solids and Spheres (GeoGebra 3D).
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    For some more detailed ideas about how to use such wonderful tools, please feel free to read:

     
     

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