id: 06455411
dt: j
an: 2015e.00554
au: Herman, Marlena; Schiffman, Jay
ti: Investigating home primes and their families.
so: Math. Teach. (Reston) 107, No. 8, 606-614 (2014).
py: 2014
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: F60 U70
ut: prime numbers; activities; home primes; prime factors; computer algebra
system; prime factor splicing
ci: ME 1998a.00005
li: http://www.nctm.org/publications/article.aspx?id=41401
ab: Summary: The process of prime factor splicing to generate home primes
raises opportunity for conjecture and exploration. The notion of home
primes is relatively new in the chronicle of mathematics. {\it J.
Heleen} [J. Recreat. Math. 28, No. 2, 116‒119 (1996‒97; ME
1998a.00005)] first described a procedure called prime factor splicing
(PFS). The exploration of home primes is interesting and accessible to
anyone who understands prime factorization. Heleen’s algorithm for
PFS initiated fascination with the topic of home primes and served as
the impetus for mathematicians around the globe to delve more deeply
into computation methods and conjectures. Computer algebra system (CAS)
technologies are now used to explore new mathematical insights and
content. Investigating home primes can be a valuable experience at the
secondary school level, a creative activity that fires the imagination
of students as it introduces them to the research process. Here, the
authors introduce the notion of home primes as part of a number theory
unit in an effort to show students that mathematics is an ever-growing
field of study, with new topics and themes continually emerging and
developing, rather than being a stagnant field of facts. Although the
students in this project were preservice teachers, the following ideas
can be adapted to students at many different levels in various
classroom settings. (ERIC)
rv: