Connecting Repeating Decimals to Undergraduate Number Theory Through the Use of Calculators
Wu Feng Institute of Technology
In this session, we will report on how we use calculators to help
college students and prospective teachers to explore decimal expansions
of fractions (that is, rational numbers). When we deal with real
numbers we are actually dealing with decimal expansions, because real
numbers are represented by decimal expansions. However the concept of
decimal expansions is neglected in schools. The reason is that finding
the decimal expansion with paper and pencil is tedious work. But now
with the help of technology finding the decimal expansions of those
real numbers that are rational is easy and fun, and there are
interesting and challenging questions that can be pursued.
The author has long been interested in how technology can be used to
enhance mathematics teaching and learning. We give some general
background on curriculum thinking about educational use of technology.
We then describe some specific activities involving decimal expansions
that we believe will help students achieve a better understanding of
this important topic.