The paper introduces a new class of polynomials discovered as an extended inquiry into a two-parametric difference equation using a spreadsheet. These polynomials possess a number of interesting properties connected to the notion of a generalized golden ratio and can be used as a background for a spreadsheet-enhanced teaching of mathematics. The paper reflects on activities designed for a technology-rich mathematics education course for prospective teachers of secondary mathematics.
Abramovich, Sergei and Leonov, Gennady A.
"Spreadsheets and the discovery of new knowledge,"
Spreadsheets in Education (eJSiE):
2, Article 1.
Available at: http://epublications.bond.edu.au/ejsie/vol3/iss2/1