A probablistic approach to classification and diagnosis of erroneous rules of operations that result from misconceptions ("bugs") in a procedural domain of arithmetic is introcuced. Variability of response errors is explicitly treated through item response theory. As a concrete example, a signed-number subtraction dataset is analyzed.…

Diagnostic teaching is described and discussed. Different types of errors are explained and examples of errors and their possible diagnoses are given. (MK)

Recommendations for remediation of 28 distinct common error patterns in arithmetic computation are described. (SD)

Tests can identify the strengths and weaknesses of the child, not only in terms of right and wrong answers, but also in terms of how and why the child succeeds or fails to meet significant mathematical standards. (JD)

This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…

This book provides a comprehensive collection of 66 teaching strategies and ideas to help overcome problems with number, each linked to a specific kind of error described in the related manual. Most of these strategies are classroom-ready and easily implemented. Some are notes for the teacher to read and then plan activities accordingly, and many…

This monograph provides an historical overview of handwriting assessment, followed by suggestions for informally assessing student handwriting errors and implementing improvement strategies. The monograph specifically addresses: (1) research on handwriting; (2) a rationale for remediation of handwriting errors; (3) techniques for evaluating…