Reforming mathematics instruction: The role of curriculum materials

The crisis in mathematics education is likely to grow. One of the targets for reform is the math textbook, which largely defines the math curriculum. Several aspects of math textbooks that strongly influence student learning are explained: the organization of lessons, the use of time, the rate of introducing new concepts, the quality of instructional activities, the nature of the examples, and the provision of guided and independent practice. Excerpts from math texts illustrate these factors. Research findings on an alternative to basais, represented by the Direct Instruction math curriculum, illustrate how conceptual understanding and proficiency can be developed for a full spectrum of students.     

Do learning-disabled children exhibit peripheral deficits in selective attention? An analysis of eye movements during reading

It has been suggested that deficits in selective attention play a functional role in the learning and behavior problems of children diagnosed as learning- disabled. In the present study, peripheral and central aspects of selective attention were distinguished and peripheral aspects were examined. The attending eye movements during reading of 12 fifth-grade learning-disabled children who read at the third-grade level were compared with 12 fifth-grade children who read at the fifth-grade level (grade placement controls) and 12 third-grade children who read at the third-grade level (reading level controls). The learning-disabled children did not differ from their reading level controls on any of W measures but showed a pattern of eye movements that was generally slower and less smooth than their grade placement controls. While these patterns might be considered to be immature relative to normal readers of the same age, they are not indicative of peripheral deficits in selective attention. Males, however, did exhibit more variability in duration of fixations and made more regressive eye movements than did females.     

Syntactic and semantic processes in aphasic deficits: The availability of prepositions

The availability of a specific category of closed class items (prepositions) was examined in Broca's and Wernicke's aphasia. The role of prepositions was varied (syntactic/semantic) in two tasks: one requiring production of prepositions and the other acceptability judgments. Overall, it was easier to perform the acceptability task than to produce the target item. In the judgment task, Wernicke's aphasics more accurately determined the acceptability of prepositions in their syntactic role than in their semantic role, but Broca's aphasics showed no such difference. In the production task, Wernicke's aphasics again were more likely to produce prepositions which were in a primarily syntactic role. Broca's aphasics, however, failed to produce such syntactically based prepositions. The results suggest that the availability of a given closed class vocabulary form is not merely a function of its class membership but also of its functional role, and this fact serves to distinguish aspects of Broca's and Wernicke's aphasics' deficit.     

A retrospective survey of students' views on a family therapy training programme

This paper describes the development of the training programme offered at the Family Institute in Cardiff and presents the results of a retrospective survey reflecting the 'consumers' views of the programme. Questionnaires were sent to all students who had trained at the Institute between 1972 and 1977, to elicit information about their views of the placement, as well as their post-qualifying experience, activities and interest in family therapy. A briefer preliminary report has been published earlier (Dowling and Seligman, 1980).     

COLLATERAL GAINS AND SHORT-TERM MAINTENANCE IN READING AND ON-TASK RESPONSES BY INNER-CITY ADOLESCENTS AS A FUNCTION OF THEIR USE OF SOCIAL REINFORCEMENT WHILE TUTORING

Two experiments are reported concerning the effects of the differential use of verbal approval by problematic adolescents serving as tutors in a remedial reading program for an inner-city school. The experiments, each with 3 tutors and 15 tutees, used a combined multiple baseline and ABCBC design. Data showed that tutors' approvals as well as tutors' and tutees' on-task and reading responses were low and stable during baseline. Tutors were trained to use verbal approval for tutees' on-task behavior. Tokens were presented and withdrawn to control the tutors' use of approval. During phases in which tutors' approvals were raised via token dispensation, tutor reading and on-task scores increased in a nonexperimental setting. Tutee reading scores also increased as a function of tutor approvals. The second experiment replicated these findings and, in addition, (a) tested the validity of changes in reading responses via standardized tests, (b) isolated and compared the covariance between variables in all phases, and (c) provided data on tutee attention to tutors as a possible natural reinforcer for the short-term maintenance found in both studies. Data are discussed as evidence that tutors had acquired the ability to recruit reinforcement from the classroom for appropriate behavior.     

Is Implicit Personality Theory illusory? Armchair criticism versus replicated empirical research

The Tzeng and Tzeng (1982) criticisms of the assumptions underlying the Jackson, Chan, and Stricker (1979) study of Implicit Personality Theory fail to take account of the relevant empirical data. For example, the key contention of Tzeng and Tzeng–that the measures of judged and empirical trait-co-occurrence used by Jackson et al. were not comparable–is contradicted by replicated findings which establish that the two are substantially and consistently related, results for which Tzeng and Tzeng offer no alternative explanation. In short, Tzeng and Tzeng have not demonstrated that their criticisms have any real substance. Hence, none of the Jackson et al. results and conclusions, including those questioning the conditional probability index as a measure of empirical co-occurrence and those supporting the validity of Implicit Personality Theory, are affected or changed.     

Effects of genetic vestibular defects on behavior related to spatial orientation and emotionality.

A large battery of behavioral tests was administered to normal mice and to mice with varying degrees of otoconial agenesis due to genes affecting vestibular development. Many significant differences were found, but a factor analysis revealed that the variance on the 11 best tests could be accounted for in terms of two underlying variables. Factor I, the more important of the two, was associated with activity, habituation, and spontaneous alternation. Factor II appeared to represent a fear of new stimuli or situations. In both cases factor scores were highly related to the degree of otoconial deficiency. One subgroup of mice with severe otoconial agenesis displayed hyperactivity and a total absence of either habituation or spontaneous alternation. In these animals, brain and body development were stunted, and the reactions to amphetamine and physostigmine were opposite to those seen in normal mice. The results support the idea that the static organs contribute importantly to spatial orientation and suggest that early-onset vestibular defects can result in profound alterations of emotionality.     

Axiomatic and numerical conjoint measurement: An evaluation of diagnostic efficacy

Synthetic data are used to examine how well axiomatic and numerical conjoint measurement methods, individually and comparatively, recover simple polynomial generators in three dimensions. The study illustrates extensions of numerical conjoint measurement (NCM) to identify and model distributive and dual-distributive, in addition to the usual additive, data structures. It was found that while minimum STRESS was the criterion of fit, another statistic, predictive capability, provided a better diagnosis of the known generating model. That NCM methods were able to better identify generating models conflicts with Krantz and Tversky's assertion that, in general, the direct axiom tests provide a more powerful diagnostic test between alternative composition rules than does evaluation of numerical correspondence. For all methods, dual-distributive models are most difficult to recover, while consistent with past studies, the additive model is the most robust of the fitted models.Douglas Emery is now at the Krannert Graduate School of Management, Purdue University, West Lafayette, IN, on leave from the University of Calgary.