Two Erroneous, Commonly Cited Examples of "Swordfish" Piercing Wooden Ships

Two Erroneous, Commonly Cited Examples of "Swordfish" Piercing Wooden Ships

Effects of Erroneous Examples

Erroneous examples have rarely been investigated or used as a learning intervention in mathematics learning, either within a technology-enhanced learning (TEL) system or within a classroom. Here, ’erroneous examples’ are (worked) solutions including one or more errors that the student is asked to detect and to correct. Still, an intelligent system could use its potential to help students to wor...

Learning from Erroneous Examples

Erroneous examples (ErrEx) that is, worked solutions that include one or more errors that the student is asked to detect, explain, and/or correct have been rarely investigated as a teaching strategy in mathematics. On the contrary, correct worked examples have been the focus of research on mathematics and science problem solving, e.g. (4). Yet, the scarce work on ErrEx in mathematics has provid...

Erroneous Examples as Desirable Difficulty

Erroneous examples, an unusual and challenging form of learning material, are arguably a type of desirable difficulty for students that could lead to deeper learning. In a series of studies we have done over the past three years involving web-based math instruction, the learning benefits of erroneous examples we have observed occured on delayed tests, as occurs in the desirable difficulties lit...

Design of Erroneous Examples for ACTIVEMATH

The behaviorist view of learning that informs much of traditional schooling is not likely to invite students and teachers to see errors in a positive light. This is particularly true for mathematics. Our goal is to change this situation by including erroneous examples and other error-related learning opportunities in ActiveMath. This paper investigates the systematic design of erroneous example...