THE DEVELOPMENT OF KNOWLEDGE CONCERNING WRITTEN ARITHMETIC: A CROSS-CULTURAL STUDY

This study is concerned with the manner in which Western mathematics is assimilated by children raised in traditional African cultures. It was predicted that after an initial period of difficulty in learning school arithmetic, African children (Baoulé and Dioula from the Ivory Coast) acquire basic concepts, develop invented strategies, and make errors similar to those of American children. Further, it was predicted that Dioula children, since they are members of a commercial culture, perform at a somewhat higher level than the Baoulé, members of a farming culture which does not seem to stress computational activity. To investigate these hypotheses, American, Baoulé, and Dioula children at two age levels were given a variety of arithmetic problems involving basic skills (e.g., reading numbers), number knowledge (e.g., place value), and calculational abilities (e.g., written computation). The results showed that, in general, older African and American children (fifth- and sixth-graders) were quite similar in all respects. The only large and significant differences occurred in the case of younger children (second- and third-graders). At this level American children generally performed at a higher level than Africans, as predicted, and Dioula occasionally at a higher level than Baoulé, also as predicted. At the same time, qualitative aspects of African and American children's performance were similar: for example, both groups made the same types and proportions of errors in written calculations. The results generally support the hypotheses and can be explained in terms of both educational and cognitive factors.     

You must leave before you can cleave: A family systems approach to premarital pastoral work

We advocate the use of a family systems approach to premarital pastoral work, involving exploration of the families of origin of the intended spouses. Family systems theory argues that a marriage is like a merger of two corporations, each having its own stockholders; thus, adequate preparation for marriage involves coming to terms with the realities of one's family of origin and that of one's intended spouse. Exploratory techniques include genograms, house tours, family photo albums, and discussions of the rules and rituals in the respective families. Leaving father and mother is the central prerequisite to marriage.Dr. Mitchell is Professor of Pastoral Care and Theology, Eden Theological Seminary, 475 E. Lockwood Ave., Webster Groves, Missouri 63119. Dr. Anderson is Associate Professor of Pastoral Theology, Wartburg Theological Seminary, 333 Wartburg Place, Dubuque, Iowa 52001.     

Task-specific strategies of mental “rotation” of facial representations

The effects of task demands on the visual comparison of facial patterns and of comparable nonfacial patterns were explored in two studies. The studies yielded two primary findings. First, faces, despite their holistic properties, are not rotated faster than comparable non-face-like patterns, although subjects’ judgments of them were uniformly more rapid than judgments for nonfaces. Second, the nature of the same-different judgment task required of subjects had a large effect on the pattern of results obtained: When stimuli were compared to their mirror images, results indicative of mental “rotation” were obtained. When stimuli were compared on the basis of similarity of individual features, the pattern of results was very different. This one manipulation produced effects that exceeded those of all of the other manipulations, including that of rotation.     

Social intimacy: An important moderator of stressful life events

Two studies were conducted to explore the role of social intimacy in predicting the individual's response to stress. In the first study the experimenter reinforced the experimental subjects' verbalizations during an interview on a fixed schedule for the first 3 minutes, withdrawing reinforcement for the final 4 minutes. The control group received reinforcement on a fixed schedule for the total 7 minutes. Subjects scoring low on a measure of intimacy disclosed less personal material during the withdrawal period in the experimental condition than in the control condition in contrast to high scoring subjects who maintained their level of disclosure for both parts of the interview. In the second study, previously experienced life change events were assessed. Individuals lacking a current intimacy were found to be prone to higher levels of emotional disturbance especially when many previous negative or few positive life change events had occurred.     

Measuring defensiveness against future anxiety: Telepression

This study attempted to create an analogue through which the concept oftelepression (or futurity defensiveness) could be measured. A total of 54 undergraduate college students participated in the study; 27 experimental subjects were exposed to a “threatening” lecture on world ecology and 27 control subjects to a “neutral” lecture. Major hypotheses were generally confirmed using the Rappaport Time Line (RTL), a spatial representation of temporal experience. Experimental subjects showed a dramatic increase in “past” emphasis and a tendency to constrict present and future time zones on specific temporal indices on the RTL. Results are interpreted as confirming that psychological defense operates in terms offuture anxiety, much as defenses work on the avoidance of the past.     

Binary choice reaction time as a criterion of motor equivalence: Further evidence

In a previous study Heuer (1982) found shorter binary choice RTs for finger movements of the right hand when the alternative movement with the left hand was of the same form that in case of different forms. Contrary to expectation there was no corresponding effect if the fingers used were the same of different ones. This result was replicated for right hand RTs as well as left hand RTs and for male and female subjects, using a different experimental design. It is discussed in respect to different preparatory processes in the foreperiod.     

MENTAL ARITHMETIC IN AFRICA AND AMERICA: STRATEGIES,PRINCIPLES, AND EXPLANATIONS*

Mental arithmetic abilities were studied among unschooled African adults and American college students. A set of problems tested the use of the four basic arithmetic operations. Performance was analyzed for: strategies, implicit arithmetic principles, and explicit explanations of the principles. Both groups showed accurate mental arithmetic strategies related to the base ten structure of their native counting systems. The American students' mental strategies additionally made use of algorithms based on written place values. Several principles were implicit in the calculation strategies of both groups, and both used these principles to short-cut calculations. Though the African subjects did not, the American subjects did describe these abstract principles in explicit common language or algebraic expressions. Relationships between schooling and cognition are discussed.     

Responding to indirect speech acts

Indirect speech acts, like the request Do you know the time?, have both a literal meaning, here “I ask you whether you know the time,” and an indirect meaning “I request you to tell me the time.” In this paper I outline a model of how listeners understand such speech acts and plan responses to them. The main proposals are these. The literal meaning of indirect speech acts can be intended to be taken seriously (along with the indirect meaning) or merely pro forma. In the first case listeners are expected to respond to both meanings, as in Yes, I do—it's six, but in the second case only to the indirect meaning, as in It's six. There are at least six sources of information listeners use in judging whether the literal meaning was intended seriously or pro forma, as well as whether there was intended to be any indirect meaning. These proposals were supported in five experiments in which ordinary requests for information were made by telephone of 950 local merchants.