Understanding and solving arithmetic word problems: A computer simulation

In this paper, I describe a computer program, WORDPRO, which simulates the psychological processes involved when third-grade children understand and solve simple arithmetic word problems. Both the implementation of the program and its performance on a set of sample problems are presented. WORDPRO is a useful research tool in that it demonstrates the sufficiency of the theory upon which it is based, assists in communicating that theory to other researchers, and provides a sources of empirical predictions for experimental tests of the theory.     

Time: a speeding train or wind-driven sand? The estimation of fixed temporal intervals as related to images of time

Relationship between Knapp's metaphor scale of attitudes toward time and subjective estimation of fixed time intervals, measured by a modification of Lovett Doust's method, was described. Results were discussed within the framework of studies relating the measurements of cognitive styles and altered consciousness states to the dilated or accelerated perceptions of time.     

The rule learning behavior of reading disabled and normal children as a function of task characteristics and instruction

The purpose of this research was to investigate rule learning in reading disabled (RD) and normal children (chronological age and reading age (RA) match) when required to (a) abstract rules independently, and (b) use rules after instruction. Study 1 required the children to solve problems using shapes and letters. Although there was no difference between groups in the rate of problem solving when children were asked to abstract rules independently, the pattern of errors was different. The RD children made a greater proportion of errors on the negative instance for the more complex problems. In particular, this occurred on the letter task which involved psycholinguistic categorization. After instruction, the RA controls made more errors than the other groups. Study 2 was an analogous pseudoword reading task. Even with statistical adjustment for differences in prior grapheme-phoneme (g-p) rule knowledge, the RD children performed less accurately than the RA controls when they had to abstract rules, although this was restricted to the most difficult rule (rule of e). There was no difference after instruction in rule application, although the pattern of errors and post-test results indicated that the RD children continued to experience decoding difficulty. These results suggest a phonologically based productive deficit which interferes with the learning of g-p rules. This may be part of a more general language deficit which includes psycholinguistic categorization. Despite the severity of this handicap, RD children seem responsive to instruction.     

Grading the ‘cultural literacy’ project

The essay examines the argument advanced by E.D. Hirsch, Jr., for instituting ‘cultural literacy’ as a fundamental priority of schools. A number of confusions and equivocations in Hirsch's reasoning are identified, and the propensity of his project to indoctrinate is exposed. Among the features of Hirsch's argument shown to be troubling are his shifting construal of ‘language’, his inconsistency about the requirements of cultural literacy, and his uncritical relation to traditional images of the American past and present. The upshot is to raise the question why Hirsch's project has elicited wide support and praise.     

An on-line assessment of causal reasoning during comprehension

Fletcher and Bloom (1988) have argued that as readers read narratives, clause by clause, they repeatedly focus their attention on the last preceding clause that contains antecedents but no consequences in the text. This strategy allows them to discover a causal path linking the text's opening to its final outcome while minimizing the number of times long-term memory must be searched for missing antecedents or consequences. In order to test this hypothesis, we examined the reading times of 25 subjects for each clause of eight simple narrative texts. The results show that: (1) causal links between clauses that co-occur in short-term memory (as predicted by the strategy) increase the time required to read the second clause; (2) potential causal links between clauses that never co-occur in short-term memory (again as predicted by the strategy) have no effect on reading time; and (3) reinstatement searches are initiated at the end of sentences that are causally unrelated to the contents of short-term memory or that contain clauses that satisfy goals no longer in short-term memory. These results support the claim that subjects engage in a form of causal reasoning when they read simple narrative texts.