Learning from Mistakes: The Benefit of Incorrect Worked Examples

Overview

Traditionally, math classes have followed the same format- learn the lesson, and then go home and do the homework. While this may seem like an effective way to teach material, it has been found that other options may be more efficient: correct and incorrect worked examples. Correct worked examples are a type of question that show how to work through the problem, with the specific steps to find the answer. This has been proved effective because it reduces cognitive load. Another type of problem discussed regarding cognitive load is incorrect worked examples. These problems show the steps for solving a mathematical problem, but at some point, an error occurs. Studies have shown that the utilization of incorrect worked examples promote learning as well because not only is the student seeing how the problem is addressed, but they are also learning and identifying common mistakes made while solving. The question is: are they just as effective, if not more, than correct worked examples? This study tests the effectiveness of correct and incorrect worked example in probability worksheets. Results were limited but showed that both correct worked examples and incorrect worked examples led to higher success on the post-test compared to normal problem solving. Further testing needs to be conducted to fully understand the benefits of correct and incorrect worked examples. This study can help us learn how incorrect and correct worked examples benefit participants and help make math classes more engaging and effective in teaching participants.

Competition history

• AJAS 2024 Category not listed

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