Learning about Functions through Learner-Generated Examples

  • Learning about Functions through Learner-Generated Examples

    Martha O. Dinkelman and Laurie O. Cavey
    In an introductory algebra course, LGEs engage students in writing about mathematics and can be used as a formative assessment tool.
    In many mathematics classrooms, the teacher provides “worked examples” to demonstrate how students should perform certain algorithms or processes. But are these examples really helping students learn the concepts? Do students really see and conclude what the teacher is hoping they will see? Some students find it difficult to generalize from the examples that teachers provide and cannot apply what they have learned in new situations (Watson and Mason 2002). Instead, teachers might consider asking students to generate their own examples.