The mathematical education of engineers

Mathematics has always played an important role in the education of engineers and production managers. At the present time, the importance of mathematics has increased significantly and it is quite natural that in universities around the world engineering students are taking courses in mathematics which constitute, as a rule, a significant portion of their programme. At the same time, however, the mathematical education of the engineer is far from ideal and its improvement deserves the closest scrutiny. The present article deals with several general aspects of this problem.     

A cross-national survey of cultural expectations and sex-role standards in reading

Cultural expectations and sex-role standards about reading in Canada, Denmark, England, Finland, Israel, Japan, and U.S.A. were investigated. A picture test showing various activities and objects including reading and books was administered in each country to six sub-samples that approximated to the levels: students in grades I, IV, VIII, and XII, college students, and adults. Subjects had to ascribe the activity or object as being appropriate for either a boy or a girl. The results were consistent with the hypothesis that cultural expectations and sex-role standards about reading are congruent within one country but that they differ between countries. In particular, boys in Canada and the U.S.A. rapidly learn to perceive reading as a feminine activity, whereas Danish and Japanese males at all ages consistently view reading as acceptable masculine behaviour.     

Controlled choice assignments: A new and more effective approach to school desegregation

The authors argue that conventional mandatory and voluntary school desegregation techniques have failed to provide minority students with maximum feasible relief from invidious discrimination because they do not redress the root causes of segregation. They demonstrate that residential-based student assignment plans as well as plans that give students limited access to a few educationally enriched magnet schools are not asymmetrical remedies to wrongful segregation and thus work to perpetuate the racial and social inequities that they purport to correct. The authors offer an alternative approach to school desegregation—controlled choice—that operates independently from residential housing patterns and which explicitly seeks to maximize personal choice within a racially unitary, equitable, and educationally enhanced system of public schooling. Controlled choice was originally pioneered in Cambridge, Mass. during the early 1980s and has recently been adopted in Little Rock, Ark., and Fall River, Mass. The policy is also being actively reviewed by several of the nation's largest school districts including Seattle, Memphis, and Boston.     

Interaction of sample dimension and sample-comparison mapping on pigeons’ performance of delayed conditional discriminations

Coding strategies developed in the acquisition of delayed conditional discriminations can be assessed by independently manipulating sample and comparison memory load. Two stimulus dimensions that can affect memory load were examined: Number of stimuli in the sample and comparison sets (two vs. four) was manipulated between groups in a 2×2 design, and discriminability of sample and comparison stimuli (hues vs. lines) was manipulated between counterbalancing subgroups and within subjects. The results indicated large effects of sample discriminability but not of comparison discriminability, evidence for retrospective coding. There was also a significant effect of number of stimuli in the comparison set (although only with hard-to-discriminate samples) but not of number of stimuli in the sample set, evidence for prospective coding. These findings suggest evidence for retrospective coding with easy-to-discriminate samples, independently of number of stimuli in the comparison set, and evidence for prospective coding with hard-to-discriminate samples.     

Visual discrimination of letter-like forms and its relationship to achievement over time in children with learning disabilities

The purpose of this study was to better understand whether visual discrimination abilities are related to reading intelligence and other achievement areas in children with learning disabilities and normally achieving children. Children with visual discrimination problems were identified using the Gibson letter-like visual discrimination task. This task was given to a large sample of children with learning disabilities as well as a sample of normally achieving children. All children were followed throughout elementary school. Results indicated that children with learning disabilities who had visual discrimination problems at 6 or 7 years of age performed more poorly in reading and general achievement over the elementary school years in comparison to the other children with learning disabilities and compared to normally achieving children. Discussion centers around the importance of this skill for reading.     

Piagetian tasks as readiness measures in mathematics instruction: A critical review

The purpose of this review was to synthesize the research on the relationship between performance on Piagetian tasks of concrete operations and performance on mathematics learning tasks in order to determine whether the Piagetian tasks make useful readiness measures. The research consistently indicates that, while there is a positive correlation between performance on Piagetian tasks and mathematics achievement, many school mathematics tasks can be mastered by children who have not yet developed the reasoning abilities measured by Piagetian tasks. This does not diminish the validity of Piaget's theory, but rather suggests that the kinds of reasoning processes identified by Piaget are not essential in solving many school mathematics tasks.