The "Natural" and the "Formal"

The paper presents an argument against a metaphysical conception of logic according to which logic spells out a specific kind of mathematical structure that is somehow inherently related to our factual reasoning. In contrast, it is argued that it is always an empirical question as to whether a given mathematical structure really does captures a principle of reasoning. (More generally, it is argued that it is not meaningful to replace an empirical investigation of a thing by an investigation of its a priori analyzable structure without paying due attention to the question of whether it really is the structure of the thing in question.) It is proposed to elucidate the situation by distinguishing two essentially different realms with which our reason must deal: the realm of the natural, constituted by the things of our empirical world, and the realm of the formal, constituted by the structures that we use as prisms to view, to make sense of, and to reconstruct the world. It is suggested that this vantage point may throw light on many foundational problems of logic.     

Learning about life and death in early childhood

have argued that young children initially understand biological phenomena in terms of vitalism, a mode of construal in which "life" or "life-force" is the central causal-explanatory concept. This study investigated the development of vitalistic reasoning in young children's concepts of life, the human body and death. Sixty preschool children between the ages of 3 years, 7 months and 5 years, 11 months participated. All children were initially given structured interviews to assess their knowledge of (1) human body function and (2) death. From this sample 40 children in the Training group were taught about the human body and how it functions to maintain life. The Control group (n=20) received no training. All 60 children were subsequently reassessed on their knowledge of human body function and death. Results from the initial interviews indicated that young children who spontaneously appealed to vitalistic concepts in reasoning about human body functioning were also more sophisticated in their understanding of death. Results from the posttraining interviews showed that children readily learned to adopt a vitalistic approach to human body functioning, and that this learning coincided with significant development in their understanding of human body function, and of death. The overall pattern of results supports the claim that the acquisition of a vitalistic causal-explanatory framework serves to structure children's concepts and facilitates learning in the domain of biology.     

元认知在画图表征策略和小学生数学问题解决能力中的中介作用

该研究采用自然实验和问卷调查法,对268名小学五年级学生进行画图表征策略训练,在此基础上根据策略学习情况筛选出掌握了该策略的218名学生,以这些学生为被试,探讨元认知在画图表征策略和小学生数学问题解决能力中的作用。结果表明:(1)策略学习后,小学生的画图表征策略水平和数学问题解决成绩均显著高于策略学习前。(2)画图表征策略通过元认知这一中介变量对小学生数学问题解决能力有显著的促进作用。     

Mighty metaphors: behavioral and ERP evidence that power shifts attention on a vertical dimension

Thinking about the abstract concept power may automatically activate the spatial up-down image schema (powerful up; powerless down) and consequently direct spatial attention to the image schema-congruent location. Participants indicated whether a word represented a powerful or powerless person (e.g. ‘king’ or ‘servant’). Following each decision, they identified a target at the top or bottom of the visual field. In Experiment 1 participants identified the target faster when their spatial position was congruent with the perceived power of the preceding word than when it was incongruent. In Experiment 2 ERPs showed a higher N1 amplitude for congruent spatial positions. These results support the view that attention is driven to the image schema congruent location of a power word. Thus, power is partially understood in terms of vertical space, which demonstrates that abstract concepts are grounded in sensory-motor processing.     

Matching- and nonmatching-to-sample concept learning in rats using olfactory stimuli

Previous research has shown that rats can learn matching-to-sample relations with olfactory stimuli; however, the specific characteristics of this relational control are unclear. In Experiment 1, 6 rats were trained to either match or nonmatch to sample in a modified operant chamber using common household spices as olfactory stimuli. After matching or nonmatching training with 10 exemplars, the contingencies were reversed with five new stimuli such that subjects trained on matching were shifted to nonmatching and vice versa. Following these reversed contingencies, the effects of the original training persisted for many trials with new exemplars. In Experiment 2, 9 rats were trained with matching procedures in an arena that provided for 18 different spatial locations for comparison stimuli. Five subjects were trained with differential reinforcement outcomes and 4 with only one type of reinforcer. Differential outcomes and multiple exemplars facilitated learning, and there was strong evidence for generalization to new stimuli for most rats that acquired several conditional discriminations. Performances with novel samples were generally above chance, but rarely reached the high levels obtained during baseline with well-trained stimulus relations. However, taken together, the data from the two experiments extend previous work, show that rats can learn both match and nonmatch relations with different experimental protocols, and demonstrate generalization to novel sample stimuli.     

Marcus Borg's Emerging Paradigm for Christianity: The Interplay of GLBT Readers,Religious Text,and Social Environment

This study considered how participants affiliated with a Christian church responded to and socially constructed information while reading and discussing Marcus Borg's book The Heart of Christianity: Rediscovering a Life of Faith. Borg argues that the traditional paradigm of American Christianity must be replayed with a more progressive Christianity. This church serves a largely (but not exclusively) gay, lesbian, bi-sexual, transgender congregation (GLBT). The entire reading church cohort consisted of twelve groups with 96 participants and an outside comparison group of six readers. Group 10 of the church groups was studied using a field-based, research-participant approach. Members of Reading Group 10 reacted positively to Borg and appeared to have personally accepted levels of social constructionism. Other reading groups reacted more negatively to Borg. Pastoral assessments of the effectiveness are also offered.     

Does testing with feedback help grade-school children learn key concepts in science?

Testing effects have been well-established across a variety of studies involving school-age children. Specifically, children's test performance improves when they are given the opportunity to practice retrieval prior to the final test as compared to when practice involves only study. The current investigation focused on the influence of testing with feedback on fifth graders’ learning of science concepts. Across two experiments, 65 students studied twenty key concept definitions. After study, the definitions were randomly assigned to one of four conditions: control, test only, study only, and test plus feedback. Concepts assigned to the latter three conditions were presented again (either for test only, study only, or test plus feedback) during two separate sessions, and a final test was administered during a separate session. At the final test, students were asked to provide the definition for each of the twenty key concepts. Final test performance was best for definitions that had been tested with feedback, followed by recall for those that had only been tested or only restudied, with lowest performance for those that did not receive additional practice. Despite multiple sessions spaced across several days, however, performance for all conditions was low, which may have resulted from the ineffective use of feedback. In summary, testing followed by feedback can boost younger students learning of science concepts, but mastery will require the use of other strategies as well.     

Are there gender differences in cognitive reflection? Invariance and differences related to mathematics

ABSTRACT

Cognitive reflection is recognized as an important skill, which is necessary for making advantageous decisions. Even though gender differences in the Cognitive Reflection test (CRT) appear to be robust across multiple studies, little research has examined the source of the gender gap in performance. In Study 1, we tested the invariance of the scale across genders. In Study 2, we investigated the role of math anxiety, mathematical reasoning, and gender in CRT performance. The results attested the measurement equivalence of the Cognitive Reflection Test – Long (CRT- L), when administered to male and female students. Additionally, the results of the mediation analysis showed an indirect effect of gender on CRT-L performance through mathematical reasoning and math anxiety. The direct effect of gender was no longer statistically significant after accounting for the other variables. The current findings suggest that cognitive reflection is affected by numerical skills and related feelings.