Developing procedural flexibility: Are novices prepared to learn from comparing procedures?

Background. A key learning outcome in problem‐solving domains is the development of procedural flexibility, where learners know multiple procedures and use them appropriately to solve a range of problems (e.g., Verschaffel, Luwel, Torbeyns, & Van Dooren, 2009 ). However, students often fail to become flexible problem solvers in mathematics. To support flexibility, teaching standards in many countries recommend that students be exposed to multiple procedures early in instruction and be encouraged to compare them. Aims. We experimentally evaluated this recommended instructional practice for supporting procedural flexibility during a classroom lesson, relative to two alternative conditions. The alternatives reflected the common instructional practice of delayed exposure to multiple procedures, either with or without comparison of procedures. Sample. Grade 8 students from two public schools (N= 198) were randomly assigned to condition. Students had not received prior instruction on multi‐step equation solving, which was the topic of our lessons. Method. Students learned about multi‐step equation solving under one of three conditions in math class for about 3 hr. They also completed a pre‐test, post‐test, and 1‐month‐retention test on their procedural knowledge, procedural flexibility, and conceptual knowledge of equation solving. Results. Novices who compared procedures immediately were more flexible problem solvers than those who did not, even on a 1‐month retention test. Although condition had limited direct impact on conceptual and procedural knowledge, greater flexibility was associated with greater knowledge of both types. Conclusions. Comparing procedures can support flexibility in novices and early introduction to multiple procedures may be one important reason.     

Scientific knowledge suppresses but does not supplant earlier intuitions

When students learn scientific theories that conflict with their earlier, naïve theories, what happens to the earlier theories? Are they overwritten or merely suppressed? We investigated this question by devising and implementing a novel speeded-reasoning task. Adults with many years of science education verified two types of statements as quickly as possible: statements whose truth value was the same across both naïve and scientific theories of a particular phenomenon (e.g., “The moon revolves around the Earth”) and statements involving the same conceptual relations but whose truth value differed across those theories (e.g., “The Earth revolves around the sun”). Participants verified the latter significantly more slowly and less accurately than the former across 10 domains of knowledge (astronomy, evolution, fractions, genetics, germs, matter, mechanics, physiology, thermodynamics, and waves), suggesting that naïve theories survive the acquisition of a mutually incompatible scientific theory, coexisting with that theory for many years to follow.     

Keeping People In or Out?

Abstract : In this article I argue that the Lutheran doctrine of two kingdoms provides a good basis for the legitimate participation of all citizens in political discourse and decisions, no matter what faith they hold. The argument is backed by selected insights from philosopher Jürgen Habermas and sociologists Linda Woodhead and Paul Heelas. Against this backdrop, I suggest some challenges for a theology that addresses issues related to religion and society.     

Beyond Iraq and Afghanistan: Religion and Politics in United States War‐Culture

Abstract : This article digs beneath the surface of American assumptions regarding war to explore the ethical interconnections between national identity, war, and religion. Striking differences emerge between the dynamics of religion and politics with regard to war and peace in presidential speeches regarding the Iraq and Afghanistan wars, and the analysis of war from an earlier generation, encapsulated by Dr. Martin Luther King Jr.'s “Beyond Vietnam: A Call to Conscience,” from 1967. Study of this political discourse helps us better understand our own reality in the United States, and the moral consequences of our beliefs about war, sacrifice, the human character, and the identity of the nation.     

Adaptive memory: enhanced location memory after survival processing

Two experiments investigated whether survival processing enhances memory for location. From an adaptive perspective, remembering that food has been located in a particular area, or that potential predators are likely to be found in a given territory, should increase the chances of subsequent survival. Participants were shown pictures of food or animals located at various positions on a computer screen. The task was to rate the ease of collecting the food or capturing the animals relative to a central fixation point. Surprise retention tests revealed that people remembered the locations of the items better when the collection or capturing task was described as relevant to survival. These data extend the generality of survival processing advantages to a new domain (location memory) by means of a task that does not involve rating the relevance of words to a scenario.     

The influence of response conflict on voluntary task switching: a novel test of the conflict monitoring model

The conflict monitoring model of cognitive control posits that response conflict triggers a top-down enhancement of a task’s representation in working memory. In the present study, we conducted a novel test of the conflict monitoring model using a voluntary task switching paradigm. We predicted that a task’s representation would be enhanced following events associated with high response conflict (i.e., incongruent trials and incorrect responses), leading participants to voluntarily choose to repeat that task more often after these events than after events associated with low response conflict (i.e., congruent trials and correct responses). In two experiments, performance following incongruent trials was consistent with the conflict monitoring model. However, performance following incorrect trials did not fit with the model’s predictions. These findings provide novel support for the conflict monitoring model while revealing new effects of incorrect trials that the model cannot explain.     

The dual moral self: moral centrality and internal moral motivation

In this study, the relationship between two aspects of the moral self, moral centrality and internal moral motivation, was analyzed. It is argued that these 2 aspects are conceptually distinct but nonetheless empirically related. Based on a cross-sectional study of 205 adolescents (M age = 14.83 years, SD = 2.21 years) it was found that moral centrality and internal moral motivation, even though substantially correlated, interacted in predicting moral emotion expectancies. Even though moral centrality was unrelated to adolescents' age it predicted a longitudinal increase in internal moral motivation over a 1-year interval. Overall, the findings call for a differentiation of moral centrality and internal moral motivation as 2 distinct but interrelated aspects of moral self-development that follow different developmental trajectories and are differentially related to age. At the same time, the study points out that adolescence may be less important for the development of the moral self than commonly assumed.     

Real three-dimensional objects: effects on mental rotation

The current experiment investigated real three-dimensional (3D) objects with regard to performance on a mental rotation task and whether the appearance of sex differences may be mediated by experiences with spatially related activities. 40 men and 40 women were presented with alternating timed trials consisting of real-3D objects or two-dimensional illustrations of 3D objects. Sex differences in spatially related activities did not significantly influence the finding that men outperformed women on mental rotation of either stimulus type. However, on measures related to spatial activities, self-reported proficiency using maps correlated positively with performance only on trials with illustrations whereas self-reported proficiency using GPS correlated negatively with performance regardless of stimulus dimensionality. Findings may be interpreted as suggesting that rotating real-3D objects utilizes distinct but overlapping spatial skills compared to rotating two-dimensional representations of 3D objects, and real-3D objects can enhance mental rotation performance.