Anxiety-induced miscalculations,more than differential inhibition of intuition,explain the gender gap in cognitive reflection

The Cognitive Reflection Test (CRT) is among the most common and well-known instruments for measuring the propensity to engage reflective processing, in the context of the dual-process theory of high-level cognition. There is robust evidence that men perform better than women on this test—but we should be wary to conclude that men are more likely to engage in reflective processing than women. We consider several possible loci for the gender difference in CRT performance, and use mathematical modeling to show, across two studies, that the gender difference in CRT performance is more likely due to women making more mathematical mistakes (partially explained by their greater mathematics anxiety) than due to women being less likely to engage reflective processing. As a result, we argue that we need to use gender-equivalent variants of the CRT, both to improve the quality of our instruments and to fulfill our social responsibility as scientists.     

EFFECTS OF HIGH-PREFERENCE SINGLE-DIGIT MATHEMATICS PROBLEM COMPLETION ON MULTIPLE-DIGIT MATHEMATICS PROBLEM PERFORMANCE

The purpose of this study was to examine the effects of a sequence of three single-digit (1 digit × 1 digit) multiplication problems on the latency to initiate multiple-digit (3 digit × 3 digit) multiplication problems for 2 students in an alternative education school. Data showed that (a) during the preference assessment, both students selected the single-digit problems in a majority of the sessions, and (b) intervention resulted in a decrease in latency between problems for both students. Results are discussed in relation to using high-preference sequences to promote behavioral momentum in academic content areas.     

The Nctm Standards and the Philosophy of Mathematics

It is argued that the philosophical and epistemological beliefs about the nature of mathematics have a significant influence on the way mathematics is taught at school. In this paper, the philosophy of mathematics of the NCTM's Standards is investigated by examining is explicit assumptions regarding the teaching and learning of school mathematics. The main conceptual tool used for this purpose is the model of two dichotomous philosophies of mathematics-absolutist versus- fallibilist and their relation to mathematics pedagogy. The main conclusion is that a fallibilist view of mathematics is assumed in the Standards and that most of its pedagogical assumptions and approaches are based on this philosophy.     

A response to "On token reinforcement and stuttering therapy: Another view on findings reported by Howie and Woods (1982)"

Ingham's (1983) critique of our research is based on the unwarranted assumption that it claimed to be a replication of Ingham and Andrews' (1973a) study. Our report did not claim to be a replication. Procedural differences between treatments do not preclude the possibility of drawing general conclusions that may apply to related treatments, or suggesting possible confounding variables that might be operating in another study. We have nevertheless dealt with each of Ingham's methodological objections. In general, we believe that we struck an acceptable compromise between the needs of clients and theoretical and research demands. We stand by our original conclusions, and note with satisfaction that Ingham concurs with our emphasis on systematic structure rather than the presence or absence of rewards as the crucial component of this type of stuttering treatment.     

CONTROL OF ARITHMETIC ERRORS USING INFORMATIONAL FEEDBACK AND GRAPHING1

The effect of informational feedback and graphing on reducing the number of arithmetic worksheet errors was investigated. The present study replicated and extended earlier findings with other populations (Journal of Applied Behavior Analysis, 1974, 7 , 547–555; 1970, 3 , 1–4; 1970, 3 , 235–240) to a first-grade classroom. Ten first-grade pupils (four males and six females) served in an ABAB design. During the feedback-only phase, subjects were provided informational feedback, in the form of a written number, on the number of errors made on individual arithmetic worksheets. The feedback-only phase lasted seven days and was followed by the feedback-plus-graphing phase, during which subjects graphed the number (of errors written at the top of the individual worksheet) daily on individual graphs on their desks. The feedback-plus-graphing phase lasted 10 days and was followed by a reversal to feedback only for 10 days. The final phase was a replication of the feedback-plus-graphing phase. All subjects showed a change in number of worksheet errors, in the predicted direction, during the feedback-plus-graphing phases. An overall mean difference of ?2.66 was found to be statistically significant (P < 0.01), using a Wilcoxson Matched-Pairs Sign Test. The results were interpreted as being empirical support for earlier findings in other populations. In addition, the present findings represented a successful extension of feedback and graphing interventions to the management of academic behaviors in a first-grade classroom.     

REDUCING TIME LIMITS: A MEANS TO INCREASE BEHAVIOR OF RETARDATES1

A common assumption in special education is that temporal limits for a task should be expanded so that ample time is provided for completing the work. This study describes the opposite strategy of restricting temporal limits to augment academic performance. Three educable retarded children received token reinforcement contingent on the number of correct math problems answered during daily sessions. A reversal design was used to assess the effects of an abrupt reduction in time limits (20-5-20 min) and a graduated sequence of reductions (20-15-10-5-20 min). The graduated sequence resulted in rate increases of correct responding ranging from 125% to 266% and these gains endured when temporal limits were again expanded. In contrast, the abrupt shift produced interfering emotional behaviors and rate decreases in academic performance of 25% to 80%. The findings indicate that systematically restricting temporal limits for an academic task can further enhance the performance of slow learners already maintained by a token system.     

The prevalence of specific learning disorder in mathematics and comorbidity with other developmental disorders in primary school-age children

Mathematics difficulties are common in both children and adults, and they can have a great impact on people's lives. A specific learning disorder in mathematics (SLDM or developmental dyscalculia) is a special case of persistent mathematics difficulties, where the problems with maths cannot be attributed to environmental factors, intellectual disability, or mental, neurological or physical disorders. The aim of the current study was to estimate the prevalence rate of SLDM, any gender differences in SLDM, and the most common comorbid conditions. The DSM-5 provides details regarding these only for specific learning disorders in general, but not specifically for SLDM. We also compared the prevalence rates obtained on the basis of the DSM-IV and DSM-5 criteria. We investigated the performance of 2,421 primary school children on standardized tests of mathematics, English, and IQ, and several demographic factors over the primary school years. We applied the DSM-5 diagnostic criteria to identify children with a potential diagnosis of SLDM. Six per cent of our sample had persistent, severe difficulties with mathematics, and, after applying the exclusion criteria, 5.7% were identified as having an SLDM profile. Both persistent maths difficulties and consistently exceptionally high performance in maths were equally common in males and females. About half of the children with an SLDM profile had some form of language or communication difficulty. Some of these children also had a diagnosis of autism, social, emotional, and behavioural difficulties or attention deficit and hyperactivity disorder. Our findings have important implications for research and intervention purposes, which we discuss in the study.     

利他行为的内隐启动研究

通过视觉与组词任务启动范式的两个实验考察了利他人物形象与利他词语对利他行为的内隐启动效应。结果发现,完成利他人物形象视觉启动(实验1)与完成利他组词任务启动(实验2)的实验组被试,在独裁者分配任务中分配给他人的钱数显著多于控制组被试。研究结果表明:利他人物形象视觉和利他语义组词都可以使个体的利他行为被显著直接无意识启动,即内隐启动。研究对设计能更好地启动人们的利他行为的一般情境有重要的启示。