A commonly accepted claim in mathematics education is that there is a relationship between the cognitive demand of mathematical task enactments and students' subsequent learning. One study often cited to support this claim is Stein and Lane (1996), and in 44% of those citations, Stein and Lane (1996) is the sole reference provided. Citation…

Collaborative learning has attracted attention as pedagogic mediation to assist learners' corpus consultation, but some studies have pointed to negative aspects of collaboration. Based on the two sides of collaboration in language learning, this study presents a qualitative investigation of different effects of collaboration depending on task…

This study analyzes six seventh grade Israeli mathematics textbooks, examining (1) the extent to which students are required to justify and explain their mathematical work, and (2) whether students are asked to justify a mathematical claim that is stated by the textbook or a mathematical claim that they themselves generated when solving a problem.…

Models, created using different modeling techniques, usually serve different purposes and provide unique insights. While each modeling technique might be capable of answering specific questions, complex problems require multiple models interoperating to complement/supplement each other; we call this Multi-Modeling. To address the syntactic and…

Results on human performance on the Traveling Salesman Problem (TSP) from different laboratories show high consistency. However, one exception is in the area of individual differences. While one research group has consistently failed to find systematic individual differences across instances of TSPs (Chronicle, MacGregor and Ormerod), another…

A clinical task-based interview can be seen as a situation where the interviewer-interviewee interaction on a task is regulated by a system of explicit and implicit norms, values, and rules. This paper describes how documenting and mapping triadic interaction among the interviewer, the interviewee, and the knowledge negotiated can be used to…

A factorial experiment which combined solution-word frequency, pre-problem-solving tasks, and S's spelling ability. (Author)

On each of 10 trials, 80 college students were presented with a different set of five anagram tasks varying in complexity. Half the subjects rated the tasks for the amount of interestingness and half for the amount of pleasantness. (Editor/RK)

Discussed in this report is a technique used in cross-cultural research for measuring cognitive processes in children and youth. The research strategy aims at evaluating the subject's performances on problem solving tasks by having subjects become active agents in the discovery process while experimenters remain as passive and neutral as possible.…

This study of problem solving and conceptual tempo had two objectives: (1) to begin to clarify the underlying deficiencies which contribute to the less efficient information processing of impulsive children (as compared with reflective children) during problem solving; and (2) to demonstrate the utility of using a task analysis as a…

The bibliography was compiled in response to requests for background information about the critical incident technique; references were provided by those interested in the technique. Graduate students searching for guidance on the technique should find it useful, as should researchers. The critical incident technique is a method of research…

A review is presented of the role of algorithms in learning and instruction. The paper first describes an algorithm as a procedure guaranteed to produce a correct result and lists its features as: 1) having a reasonably finite number of unambiguously defined operations; 2) having zero or more inputs from a specified domain; 3) having outputs with…

Presents thinking-aloud protocols from secondary pupils solving arithmetic story and geometrical problems and analyzes their protocols by using interpretation models founded on a general problem-solving model. A word problem solving simulation is also used to further explicate processes pupils use to solve mathematical tasks. (Author/MBR)

Human relations problem situations for Army senior non-commissioned officers (NCOs) were identified and analyzed using group problem solving methods. Then, using an analysis summary prepared for each case study problem situation as the basis, candidate performance exercises were developed. (These exercises specify terminal performance objectives…

Proposes the use of procedural task analysis as a tool to assess a person's mental processes during problem solving in science education research. Uses transcriptions of videotape or audiotape problem-solving sessions to identify students' knowledge structures and misconceptions. (MDH)