Research Findings: The aim of this study was to investigate U.S. preschool teachers' math teaching knowledge in a specific content domain: counting and numbers. One hundred in-service and pre-service teachers participated in the study; they completed a questionnaire that is composed of learning scenarios and scenario-based math teaching questions.…

Many gifted characteristics overlap the symptoms of attention deficity-hyperactivity disorder (ADHD). The potential for the misdiagnosis of giftedness as ADHD exists, but so does the potential for a dual diagnosis of giftedness and ADHD. A decade after the misdiagnosis of giftedness as ADHD was first investigated we examine lessons learned…

Recent studies have shown that children with mathematics difficulties (MD) have weaknesses in multiple areas of mathematics. Andersson, for example, recently found that children with MD perform significantly worse than other children on clock reading tasks. The present study builds on this recent finding and aims at a more profound understanding…

This article discusses three types of errors made in early childhood education: intuitive psychology, homogenization, and an easy conscience. (PD)

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.…

Analyzed for examiner errors 55 Wide Range Achievement Test-Revised (WRAT-R) protocols completed by 9 practitioners for metropolitan school district. All practitioners made errors, which occurred on 95 percent of protocols and averaged 3.0 errors per protocol. Most frequent errors included failures to obtain correct ceiling or basal, and failures…

A probabilistic approach is introduced to classify and diagnose erroneous rules of operation resulting from a variety of misconceptions ("bugs") in a procedural domain of arithmetic. The model is contrasted with the deterministic approach which has commonly been used in the field of artificial intelligence, and the advantage of treating the…

Paper presented at the Gesellschaft fur Angewandte Linguistik Conference in November 1969 in Stuttgart, West Germany. (RS)

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

This article, a reprint from 1930, offers an interesting perspective on the importance of diagnostic and prescriptive teaching as well as the role of drill and the use of objectives in mathematics. (Author/MK)

Examined computational errors made by educable mentally retarded students on the arithmetic subtest of the Wide Range Achievement Test. Retarded students had a lower percent of grouping and inappropriate inversion errors and a higher percent of incorrect operation errors than regular students had in Engelhardt's study. (Author)

Evaluated the technical aspects of three Wechsler Intelligence Scale for Children-Revised (WISC-R) administrations of five psychology graduate students using the WISC-R Administration Observational Checklist (WAOC) to evaluate interrater agreement. Students performed significantly better on the second than on the first observation, with…