Syntactic language features of word problems have often been identified by assessment studies and interview studies as potential obstacles in word problem solving. However, students' processes of noticing and interpreting these features have only rarely been investigated in depth because noticing is hard to investigate. Eye-tracking methodology…

Linear syllogisms present two premises, each describing a relation between two terms. The individual's task is to infer the relation among the three terms of the linear syllogism, and then answer a question about one or more of these relations. For example, "John is taller than Bob. Sam is shorter than Bob. Who is the tallest?" Students…

Discussion of differences between problem-solving techniques of novices and experts suggests that both the experts' mental model and common novice problems can be derived from analyses of several expert and novice protocols. Three instructional strategies based on these differences are discussed, including the use of a computer simulation to solve…

Transformational grammar offers the most adequate system by which to meet the goal of grammar instruction, which is to increase the student's understanding of the nature of language. This grammar attempts to explain the mental processes underlying the production and understanding of sentences, to describe linguistic competence, to construct…