New tools in GeoGebra offering novel opportunities to teach loci and envelopes
Francisco Botana, Zolt\'an Kov\'acs

TL;DR
This paper explores new GeoGebra tools that enhance the teaching of loci and envelopes, enabling dynamic, real-time geometric investigations suitable for classroom use on various devices.
Contribution
It introduces and demonstrates new GeoGebra commands for locus and envelope computation, expanding the possibilities for teaching and exploring analytical geometry.
Findings
Enables fast locus and envelope calculations in HTML5 browsers.
Supports teaching of conics and higher-order algebraic curves.
Provides practical tips for geometric constructions in GeoGebra.
Abstract
GeoGebra is an open source mathematics education software tool being used in thousands of schools worldwide. Since version 4.2 (December 2012) it supports symbolic computation of locus equations as a result of joint effort of mathematicians and programmers helping the GeoGebra developer team. The joint work, based on former researches, started in 2010 and continued until present days, now enables fast locus and envelope computations even in a web browser in full HTML5 mode. Thus, classroom demonstrations and deeper investigations of dynamic analytical geometry are ready to use on tablets or smartphones as well. In our paper we consider some typical secondary school topics where investigating loci is a natural way of defining mathematical objects. We discuss the technical possibilities in GeoGebra by using the new commands LocusEquation and Envelope, showing through different examples…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsPolynomial and algebraic computation · Mathematics and Applications · History and Theory of Mathematics
