- Knowledge is constructed by learners through interaction with the environment (Collins, Brown, & Newman, 1989).
- By providing opportunities for students to revise and reflect on solutions with peers and teachers, students can organize and consolidate mathematical thinking through communication (NCTM, 2000).
- Through the “collaboration of learning,” thinking is a product of several heads in interaction with one another and cognition is socially shared rather than individually owned (Goldman, Petrosino, & Cognition and Technology Group at Vanderbilt, 1999).
- Students can then use the language of mathematics to express mathematics precisely (NCTM, 2000).
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