id: 05533991
dt: j
an: 2009b.00390
au: Unal, Hasan
ti: Visualizing series.
so: Math. Teach. Inc. Micromath 2008, No. 208, 10-12 (2008).
py: 2008
pu: Association of Teachers of Mathematics (ATM), Derby
la: EN
cc: H20 E50
ut: mathematical formulas; finite series; calculus; teaching methods;
visualization
ci:
li:
ab: Summary: The importance of visualisation and multiple representations in
mathematics has been stressed, especially in a context of problem
solving. Hanna and Sidoli comment that "Diagrams and other visual
representations have long been welcomed as heuristic accompaniments to
proof, where they not only facilitate the understanding of theorems and
their proofs, but can often inspire the proof of the theorem, and point
out approaches to the construction of the proof itself". Apostol, a
teacher of calculus for more than 50 years and author of a couple of
textbooks on the subject, in his seminal article titled "A visual
approach to calculus problems", points out that he "was stunned to
learn that many standard problems in calculus can be easily solved by
an innovative visual approach that makes no use of formulas". In this
article, the author describes some different ways of visualising the
sum of a series. (Contains 1 table.) (ERIC)
rv: