Premium
Exploring Repunits
Author(s) -
Toumasis Charalampos
Publication year - 1994
Publication title -
school science and mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.135
H-Index - 2
eISSN - 1949-8594
pISSN - 0036-6803
DOI - 10.1111/j.1949-8594.1994.tb15641.x
Subject(s) - mathematics education , calculator , maturity (psychological) , extension (predicate logic) , discovery learning , degree (music) , algebraic number , computer science , mathematics , psychology , programming language , developmental psychology , mathematical analysis , physics , acoustics , operating system
This article describes a discovery activity which is organized and developed at two different levels of treatment corresponding to the different degree of mathematical maturity of students. Using an 8‐digit calculator, students at the first level (7‐9th graders) explore patterns which lead them to discover the properties of repunits and their relationships to many mathematical curiosities. At the second level (10‐12th graders) students may be interested in further extension exploring why these patterns emerge and offering algebraic justification.