Priestley Duality for Quasi-Stone Algebras

In this paper we describe the Priestley space of a quasi-Stone algebra and use it to show that the class of finite quasi-Stone algebras has the amalgamation property. We also describe the Priestley space of the free quasi-Stone algebra over a finite set. This revised version was published online in June 2006 with corrections to the Cover Date.     

代数应用题视觉化表征的理论模型及影响因素

视觉化表征是代数应用题表征的一大类型, 在问题解决过程中起着重要作用。视觉化表征的理论主要有视觉-逻辑二维模型、理解-转换模型、表象表征理论和图式-图像表征论, 四种理论模型各有其特殊的方法学意义。代数应用题的视觉化表征主要受到题目视觉化程度和认知负载等刺激因素以及自我效能感等认知因素的影响, 最后, 本文指出了在代数应用题视觉化表征理论、研究方法和影响因素探索中的进步以及发展空间。     

Intertemporal Similarity: Discounting as a Last Resort

Standard models of intertemporal choice assume that individuals discount future payoffs by integrating reward amounts and time delays to generate a discounted value. Alternative models propose that, rather than integrate across them, individuals compare within attributes (amounts and delays) to determine if differences in one attribute outweigh differences in another attribute. For instance, the similarity model 1) compares the two reward amounts to determine whether they are similar, 2) compares the similarity of the two time delays, and then 3) makes a decision based on these similarity judgments. Here, I tested discounting models against attribute‐based models that use similarity judgments to make choices. I collected intertemporal choices and similarity judgments for the reward amounts and time delays from participants in three experiments. All experiments tested the ability of discounting and similarity models to predict intertemporal choices. Model generalization analyses showed that the best predicting models started with similarity judgments and then, if similarity failed to make a prediction, resorted to discounting models. Similarity judgments also matched intertemporal choice data demonstrating both the magnitude and sign effects, thereby accounting for behavioral data that contradict many discounting models. These results highlight the possibility that attribute‐based models such as the similarity models provide alternatives to discounting that may offer insights into the process of making intertemporal choices. Copyright © 2015 John Wiley & Sons, Ltd.     

Positive perception of time and its association with successful ageing / Percepción positiva del tiempo y su relación con el envejecimiento exitoso

Abstract

The objective of this study was to explore the relationship between perception of time and indicators of successful ageing. The study evaluated preference in temporal orientation, perception of speed of the passage of time and a wide range of psychosocial well-being and health indicators. The sample consisted of 1,178 people aged over 60 years from the ELES longitudinal study, which was representative of the Spanish population. Results showed that: (a) the majority of people of all ages are oriented to the present, although as they become older there is a shift towards the past; (b) orientation to the present implies higher levels of well-being and health, as opposed to orientation to the past; and (c) a perception of a faster passage of time is associated with well-being. In conclusion, the way in which older people perceive time is an indicator of adaptation, well-being and health.     

Time to leave? The interaction of temporal focus and turnover intentions in explaining voluntary turnover behaviour

Although turnover intentions are the strongest predictors of voluntary turnover behaviours, many employees who express intentions to leave do not. To explain why some employees translate turnover intentions into behaviour and others do not, this study examines the moderating effect of temporal focus (i.e. the degree to which one thinks about the past, present and future) between turnover intentions and voluntary turnover, using the lens of theory of planned behaviour. Data were collected from 683 full-time employees in a range of organisations at three points in time. Results show that past temporal focus conditions the positive relationship between turnover intention and turnover, such that the relationship is stronger when past temporal focus is high. Future temporal focus has an opposite moderating effect, such that the relationship between turnover intention and turnover is weaker when future temporal focus is high. Results show no significant moderating effect of current temporal focus. Overall, temporal focus helps explain why some employees leave and others stay by conditioning the likelihood of translating turnover intentions into quitting. We speculate that a dominant, unspoken paradigm in turnover research is an assumption that individuals are current focused, yet our results suggest scholars should explicitly examine this assumption.     

Mistakes on display: Incorrect examples refine equation solving and algebraic feature knowledge

Although findings from cognitive science have suggested learning benefits of confronting errors (Metcalfe, 2017), they are not often capitalized on in many mathematics classrooms (Tulis, 2013). The current study assessed the effects of examples focused on either common mathematical misconceptions and errors or correct concepts and procedures on algebraic feature knowledge and solving quadratic equations. Middle school algebra students (N = 206) were randomly assigned to four conditions. Two errorful conditions either displayed errors and asked students to explain or displayed correct solutions and primed students to reflect on potential errors by problem type. A correct example condition and problem-solving control group were also included. Studying and explaining common errors displayed in incorrect examples improved equation-solving ability. An aptitude-by-treatment interaction revealed that learners with limited understandings of algebraic features demonstrated greater benefits. Theoretical implications about using examples to promote learning from errors are considered in addition to suggestions for educational practice.     

Blocked vs. interleaved presentation and proactive interference in episodic memory

Although a number of theoretical accounts of proactive interference (PI) in episodic memory have been proposed, existing empirical evidence does not support conclusively a single view yet. In two experiments we tested the predictions of the temporal discrimination theory of PI against alternative accounts by manipulating the presentation schedule of study materials (lists blocked by category vs. interleaved). In line with the temporal discrimination theory, we observed a clear buildup of (and release from) PI in the blocked condition, in which all the lists of the same category were presented sequentially. In the interleaved condition, with alternating lists of different categories, a more gradual and smoother buildup of PI was observed. When participants were left free to choose their presentation schedule, they spontaneously adopted an interleaved schedule, resulting again in more gradual PI. After longer delays, we observed recency effects at the list level in overall recall and, in the blocked condition, PI-related effects. The overall pattern of findings agrees with the predictions of the temporal discrimination theory of PI, complemented with categorical processing of list items, but not with alternative accounts, shedding light on the dynamics and underpinnings of PI under diverse presentation schedules and over different time scales.     

Temporal compression in episodic memory for real-life events

Remembering an event typically takes less time than experiencing it, suggesting that episodic memory represents past experience in a temporally compressed way. Little is known, however, about how the continuous flow of real-life events is summarised in memory. Here we investigated the nature and determinants of temporal compression by directly comparing memory contents with the objective timing of events as measured by a wearable camera. We found that episodic memories consist of a succession of moments of prior experience that represent events with varying compression rates, such that the density of retrieved information is modulated by goal processing and perceptual changes. Furthermore, the results showed that temporal compression rates remain relatively stable over one week and increase after a one-month delay, particularly for goal-related events. These data shed new light on temporal compression in episodic memory and suggest that compression rates are adaptively modulated to maintain current goal-relevant information.     

Narrative retelling in children with neurodevelopmental disorders: Is there a role for nonverbal temporal‐sequencing skills?

Oral narrative retelling is often problematic for children with communicative and neurodevelopmental disorders. However, beyond a suggested role of language level, little is known about the basis of narrative performance. In this study we examine whether oral narrative retelling might be associated not just with language level but also with skills related to nonverbal narrative temporal sequencing. A diagnostically heterogeneous sample of Swedish‐speaking children with a full scale IQ >70 was included in the study (N = 55; age 6–9 years). Narrative retelling skills were measured using the three subscores from the bus story test (BST). Independent predictors included (1) temporal sequencing skills according to a picture arrangement test and (2) a language skills factor consisting of definitional vocabulary and receptive grammar. Regression analyses show that language skills predicted BST Sentence Length and Subordinate Clauses subscores, while both temporal sequencing and language were independently linked with the BST Information subscore. When subdividing the sample based on nonverbal temporal sequencing level, a significant subgroup difference was found only for BST Information. Finally, a principal component analysis shows that temporal sequencing and BST Information loaded on a common factor, separately from the language measures. It is concluded that language level is an important correlate of narrative performance more generally in this diagnostically heterogeneous sample, and that nonverbal temporal sequencing functions are important especially for conveying story information. Theoretical and clinical implications are discussed.