id: 06247556
dt: j
an: 2014a.00914
au: Chua, Boon Liang; Wu, Yinkang
ti: Designing technology-based mathematics lessons: a pedagogical framework.
so: J. Comput. Math. Sci. Teach. 24, No. 4, 387-402 (2005).
py: 2005
pu: Association for the Advancement of Computing in Education (AACE),
Waynesville, NC
la: EN
cc: U50 U70 I40
ut: computer as educational medium; mathematics education; technology-based
learning environments; CAI; computer aided instruction; educational
technology; inclusive education; instructional design; calculus;
extreme value problems; media technology
ci:
li:
ab: Summary: In order to effectively integrate technology into mathematics
teaching and learning, teachers could create a technology-based
learning environment which provides students with opportunities to
experience the process of mathematical investigation from exploring
with mathematical ideas to making and testing conjectures, as well as
extending their conjectures to a general form if possible.
Additionally, the learning environment should support students in ways
that encourage them to articulate not only what they know about the
mathematical ideas in their exploration, but also how they arrive at
their conjectures and how they generalise the ideas. This article
offers a framework that encompasses the processes of exploring,
conjecturing, verifying and generalising to help mathematics teachers
plan and design effective technology-based lessons to create an
environment which engages students in meaningful learning in the
mathematics classroom. An interactive spreadsheet template based on a
popular mathematics problem commonly found under the topic of calculus
involving finding the maximum area of a rectangular enclosure given a
fixed perimeter was designed to illustrate the framework.
rv: