"Report of a Workshop on the Scope and Nature of Computational Thinking" presents a number of perspectives on the definition and applicability of computational thinking. For example, one idea expressed during the workshop is that computational thinking is a fundamental analytical skill that everyone can use to help solve problems, design…

The authors examined the effectiveness of strategy instruction taught by general educators in mixed-ability classrooms. Specifically, the authors compared the mathematical word problem-solving performance and computational skills of students who received schema-based instruction (SBI) with students who received general strategy instruction (GSI).…

Investigates preschoolers' knowledge of counting principles by examining their ability to discriminate between features essential for correct counting and features typically present but unessential. Skill in executing the standard counting procedure was found to precede knowledge of the underlying principle. (Author/AS)

This study evaluated the effectiveness of the constant time delay procedure, while comparing the efficiency of using teacher-selected and student-selected material prompts, in teaching multiplication facts to 4 male students with learning disabilities (ages 9 to 13). Results indicated that the time delay procedure was most efficient when students…

This study demonstrated the effectiveness and efficiency of a constant time delay procedure (four seconds) to teach five elementary students with learning disabilities multiplication facts. Learning generalized to a paper-and-pencil task, to a different presentation orientation, and to reverse facts. (DB)

This document contains 14 papers selected from those presented at the Seventh Annual Conference of the Research Council for Diagnostic and Prescriptive Mathematics. Categorized as interdisciplinary studies are reports on "Mathematics as an Activity of Our Intelligence" by Skemp and a study on "The Brain Basis of Developing…

Described is a study in which three instructional approaches were applied in second grade classes. Discussed are proportional materials, nonproportional materials, nonproportional materials with pictorial models. Findings, results, and recommendations are presented. (CW)

Investigated whether and how children age 5 to 7 employed counting to measure and integrate the duration of two events, which were accompanied by metronome beats for half the children. The rhythm enhanced use of counting in younger children. By age 7, most counted spontaneously, using sensible counting strategies. (SKC)

Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

This study compared the effectiveness of teaching multidigit addition of whole numbers without regrouping prior to teaching it with regrouping to teaching multidigit addition with and without regrouping simultaneously. Pretest/posttest-delayed posttest results of second grade students (n=151) from seven randomly assigned classrooms indicated no…

Twenty-one children (approximate ages 6 to 16), drawn from the larger pool of 100, with Tourette's Syndrome were evaluated to: (1) determine the prevalence of learning disorder in this population; (2) identify particular areas of academic difficulty; and (3) consider the spectrum of central nervous system processing deficits in these children. Not…

The strategies of four men with mild mental retardation when performing calendar calculations were investigated. Results suggested that subjects were aware of calendar rules and regularities, including knowledge of the 14 different calendar templates. Their strategies were rigidly applied and relied heavily on memory, with little manipulation of…

Children learn arithmetic procedures by rote, rather than by constructing them with an understanding of numbers. Rote learning produces lack of flexibility, nonsensical errors, and other difficulties. Proposed is a theory of conceptual understanding and its role in learning and executing arithmetic procedures. The basic hypothesis is that…

Considered was the question of whether a strategy that was widely used by young children in clinical interviews occurred in less structured situations. Findings indicated that it did not occur in the performance of a routine counting task by preschoolers. Reasons for apparent discrepancies are discussed. (CW)

Compares the Genevan and Cattell-Horn theories of intelligence and describes both similarities and differences. Describes a study investigating the relation of the Piagetian operative level to the child's ability to use crystallized solution procedures (aids) in making elementary numerical comparisons. (HOD)