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Experiences

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TEACHERS EXPERIENCES FORM

Title of the Experience
Divisions between polynomials and Ruffini's rule
Name of the teacher
Massimo Amato
Country where it took place
Italy
School typology
High Secondary School
Thematic Area
Maths
Experience typology
Teaching in class
Type of contact
Direct
Description of the Experience
During the study of the decomposition it comes to the need to perform polynomial division (also required the reduction of equations of degree higher than the second). This argument, even if a pure technicality, is always difficult, because recalls the divisions made in elementary school and requires a minimum of attention and logic.
One way that was effective was to recall the numerical divisions using spread sheets into pc and then, gradually, complicating the situation by adding parameters until you reach the degree of difficulty required.
This process will be resumed even when it is necessary to factor the equations of degree higher than the second and verify the result directly on the spread sheet into pc. The pc helps to "see" the solutions without having to accounts, that are a distraction of the real purpose of explanation.
Subsequently, even if I have a very antipathy against this rule, I use this procedure to explain and resolve the reduction and lowering of the degree of the equations through Ruffini's rule, which is easy because it only if it's worth it purely mnemonic effort, but does not understand what is being done and why it is carried out.

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