id: 05227135
dt: b
an: 2011a.00586
au: Marshall, David C.; Odell, Edward; Starbird, Michael
ti: Number theory through inquiry.
so: Washington, DC: The Mathematical Association of America (MAA) (ISBN
978-0-88385-751-9/hbk). ix, 140~p. (2007).
py: 2007
pu: Washington, DC: The Mathematical Association of America (MAA)
la: EN
cc: F65 D45
ut: elementary number theory; Inquiry Based Learning; teaching methods
ci:
li:
ab: “Number Theory Through Inquiry” is an innovative textbook that leads
students on a guided discovery of introductory number theory. The book
succeeds to help students develop mathematical thinking skills,
theorem-proving skills and also helps students to understand some of
the wonderfully rich ideas in the mathematical study of numbers. This
book is appropriate for a proof transitions course, for an independent
study experience, or for a course designed as an introduction to
abstract mathematics. Mathematics or related majors, future teachers,
and students or adults interested in exploring mathematical ideas on
their own will enjoy “Number Theory Through Inquiry”. The book
contains a carefully arranged sequence of challenges that lead students
to discover ideas about numbers and to discover methods of proof on
their own. It is designed to be used with an instructional technique
variously called guided discovery or Modified Moore Method or Inquiry
Based Learning (IBL). The result of this approach will be that
students: ‒ Learn to think independently ‒ Learn to depend on
their own reasoning to determine right from wrong ‒ Develop the
central, important ideas of introductory number theory on their own.
From that experience, they learn that they can personally create
important ideas. They develop an attitude of personal reliance and a
sense that they can think effectively about difficult problems. These
goals are fundamental to the educational enterprise within and beyond
mathematics.
rv: Cristinel Mortici (Targoviste)