This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…

This paper gives a method to determine a person's hypothetical conceptualization of an object -- its breakdown into subassemblies, subsubassemblies, and so on -- from the person's sequence of requests for pieces used in constructing it. A technique is given to determine whether, given a group of conceptualizations, there is a typical one. The…

Instructional task variables of analytical explanation and sequence were studied in two experiments to assess the systems approach proposition of efficiency and effectiveness in concept learning. The independent variable of analytical explanation consisted of two components: a procedure for focusing the subject's attention on the critical…

The roles of (1) the sequence of instruction and (2) cognitive ability variables were investigated using a computer-assisted instruction (CAI) course on an imaginary science of "Xenograde systems." A rationale for an information processing task analysis was developed to overcome the deficiencies of other analytic methods. The new method was found…

Twenty-five eleventh grade classes were taught two social studies concepts, sovereignty and comparative advantage, using written or oral methods. Methods differed in their use and sequence of examples to explicate definitions. Finds using examples increased concept attainment. Suggests sequence was important for the more complex, relational…