Cmap is a web-based program that allows users to collaboratively organize thoughts and ideas synchronously or asynchronously in a concept map. Concept mapping in general, involves shared thinking and allows learners to view complex subject matter in a graphically, visual-appealing manner. Concept maps are widely used in language arts classes as a brainstorming tool.
Constructivism is an educational theory in which learners derive understanding through experience and collaboration. Constructivists argue that in order to maximize learning potential, classrooms should be student-centered and teachers should act as facilitators in an active learning environment. These characteristics are markedly different from that of a traditional classroom setting.
Concept mapping encourages collaboration and interaction, two major components of the constructivist theory which, if implemented appropriately will provide rich, meaningful learning opportunities in which high-learning will occur. In addition, concept maps are typically student-created, not teacher-driven, thus supported the ideals of a student-centered classroom. Also, there are no definite ends or conclusions to a concept map. Learning is ongoing and updates are encouraged, fitting nicely into the constructivist framework.
I plan to incorporate Cmaps in my Algebra classes by showing the interconnectivity of the subject matter itself. We can show the relationship (double-sided arrow) between factoring and multiplying polynomials and describe the relationship along the links. We can use a tiered map to show that we solve quadratic equations by factoring, completing the square, or quadratic formula. We can show that having a strong understand of literal equations is a prerequisite skill to assure a smooth transition into converting a standard form equation into slope-intercept form. The Cmap curriculum map will hopefully show students that Algebra is not a group of isolated topics, but rather an interrelated series of events. Jonassen states that the most critical requirement for concept mapping software is to be able to describe or type the concept links. Cmap may be just the tool needed to show students that Algebra is just a puzzle with pieces that all snap together.
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Kristen, I like how you pointed out that there's really no end to learning and that concept mapping and constructivism support this. I agree! Your ideas for algebra sound very interesting as well. Let us know how it goes.
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