The authors present 3 experiments demonstrating ways to reduce illegal moves in problem-solving tasks. They propose a 3-stage framework for the rejection of illegal moves. An illegal move must come to mind and be selected, checked for legality, and correctly rejected. Illegal move reduction can occur at any stage. Control group participants…

The possible use of a calendar algorithm was assessed in DBC, an autistic "savant" of normal measured intelligence. Testing of all the dates in a year revealed a random distribution of errors. Re-testing DBC on the same dates one year later shows that his errors were not stable across time. Finally, DBC was able to answer "reversed" questions that…

This study investigated how students processed information obtained by reading a passage related to inertial reference frames. Two groups of 10th-grade students (one group consisting of students identified as potential National Merit Scholars and another consisting of students enrolled in level-I biology) read a science text passage and answered a…

Solving equations in elementary algebra requires knowledge of the permitted operations, and knowledge of what operation to use at a given point in the solution process. While just these kinds of knowledge would be adequate for an ideal solver, human solvers appear to need and use other kinds of knowledge. First, many errors seem to indicate that…

Second and third graders from six Dutch elementary schools (N = 168) solved two sets of almost identical addition and subtraction sums at a two-week interval. Inconsistency in strategies, which characterized half the subjects, was related to unfamiliar sums and resulted in misinterpreted errors. (TJH)

Helping students understand the round-off error is the focus. A computer program for Fibonacci numbers illustrates the point, which is then described mathematically. (MNS)

Interviews conducted with each of 35 sixth graders who made errors on the Metropolitan Achievement Test showed little evidence that poor reading abilities affected children's success on word problems. (DT)

Examined relations between algebraic word-problem attributes and students' strategies, errors, and problem difficulty. Found that constructed responses capture strategy formulation and high-level planning--as do traditional measures of quantitative reasoning--but are more sensitive to individual problem characteristics and procedural errors that…

Background: Studies from the amnesia literature suggest that errorless learning can produce superior results to errorful learning. However, it was found in a previous investigation by the present authors that errorless and errorful therapy produced equivalent results for patients with aphasic word-finding difficulties. A study in the academic…

Groups of first-grade (mean age = 82 months), third-grade (mean age = 107 months), and fifth-grade (mean age = 131 months) children with a learning disability in mathematics (MD, n=58) and their normally achieving peers (n = 91) were administered tasks that assessed their knowledge of counting principles, working memory, and the strategies used to…

This paper encourages the use of Total Quality Management (TQM) tactics and other strategies as a practical means of fostering a quality culture in institutional research offices of higher education institutions. In particular, four approaches are advocated for understanding and minimizing errors: (1) use of TQM tactical tools to enhance work…

This work studies the difficulties children have solving two-step word problems of a given structure (e.g., 7 lollypops/2 chocolate bars X 6 chocolate bars). Thirty-six children between the ages of 9 and 14 years were individually observed solving problems of the above type. Other tasks, repetition of the problem and model recognition, were used…

This paper presents a framework for conceptualizing the different ways in which instructions in experimental tasks may be misunderstood. Five possible types of misunderstandings are identified and discussed: (1) misunderstanding of a particular term in the instructions; (2) misinterpretation of a task because the instructions are difficult to…

Some research about students with learning disabilities that textbook publishers need to consider as they revise problem-solving materials is briefly cited. (MNS)