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Introducing Conics in 9th Grade: An Experimental Teaching

Under consideration is an experimental teaching focused on presenting the conics in a dual manner: as loci and envelopes. A bunch of computer technologies is drawn to explore and investigate this duality of the conics. An example of how it is done for a particular conic is given. The target group includes secondary school students who are advanced in math and information technologies. The theoretical base is an original didactical model for designing individual educational trajectories that is adapted for the team-working mode. The educational goal includes developing synthetic competence of an entire team. The individual characteristics of the team members complement one another for resolving complex problems from the local behavioral environment, which were specifically formed for the purposes of the experimental teaching.