APPRENTICESHIP IN A TECHNOLOGY-RICH CLASSROOM

 

Paul R. McCreary

Xavier University of Louisiana

pmccrear@xula.edu

 

We report on a project to establish an apprenticeship/participation program in developmental mathematics classes at Xavier University of Louisiana.  The medium is computer-based lessons written in a computer algebra system (CAS) that produces graphic animations from student responses.  Use of the CAS provides a context in which students, quite naturally, talk with and instruct each other.  One of the project goals is to have a direct and positive effect on the social and academic maturation of the students. This goal is supported by peer collaboration, which requires increased and shared responsibilities among students.

We purposely chose more sophisticated software than was strictly necessary for generating the graphic animations.  This added versatility to the teaching tool; the instructor can modify exercises on the spot.  It also added depth and value to the students’ learning.  For the project, several students were recruited to serve as interns/student leaders.  During the course of the semester several other students stepped forward to emulate what they saw the interns doing and to actively seek out students with whom to share newly discovered knowledge.  A typical activity involved interns collecting friends for an out-of-class session at which they made mini-presentations to each other.

Bibliography

Chaiklin, S. & Lave, J. (1993).  Understanding Practice: perspectives on activity and context.  New York: Cambridge University Press.

Rogoff, B. (1990).  Apprenticeship in thinking: cognitive development in social context.  New York: Oxford University Press.

Wertsch, J. (1998).  Mind as Action.  New York: Oxford University Press.

Wolfram, S. (1999). The Mathematica Book, 4th ed.  New York: Cambridge Univ. Press.