@inproceedings{8ae711ff1161410ca8713a5e25d6f00c,
title = "Explaining mistakes in single digit multiplication: A cognitive model",
abstract = "Error patterns for arithmetic problems are very rich in information, but they are hard to investigate systematically because of the small number of mistakes made. To be able to investigate errors in arithmetic we therefore used an online educational application called Math Garden, which teaches children arithmetic in the form of several different tasks. Because of the large number of users, Math Garden provides sufficient data to investigate errors systematically. Using the Math Garden data set, we developed a cognitive model in the PRIMs architecture that can give a comprehensible account of the errors made in single-digit multiplication problems. The model does a relatively good job of explaining errors on easy problems, but has difficulties explaining mistakes for harder problems. In addition to the current model, we propose some approaches to improve the model to explain mistakes in the harder problems as well.",
keywords = "Arithmetic, Errors, Multiplication, PRIMs",
author = "Trudy Buwalda and Jelmer Borst and {van der Maas}, Han and Niels Taatgen",
note = "Publisher Copyright: Copyright {\textcopyright} TRECVID 2016.All rights reserved.; 14th International Conference on Cognitive Modeling, ICCM 2016 ; Conference date: 03-08-2016 Through 06-08-2016",
year = "2016",
language = "English",
series = "Proceedings of ICCM 2016 - 14th International Conference on Cognitive Modeling",
publisher = "The Pennsylvania State University",
pages = "131--136",
editor = "David Reitter and Ritter, {Frank E.}",
booktitle = "Proceedings of ICCM 2016 - 14th International Conference on Cognitive Modeling",
}