Longitudinal Analysis of Associations between 3-D Mental Rotation and Mathematics Reasoning Skills during Middle School: Across and within Genders

ABSTRACT

The development of math reasoning and 3-d mental rotation skills are intertwined. However, it is currently not understood how these cognitive processes develop and interact longitudinally at the within-person level – either within or across genders. In this study, 553 students (52% girls) were assessed from fifth to seventh grades on 3-d mental rotation spatial skills (assessed each fall) and numerical and algebraic math reasoning skills (assessed each spring). Boys outperformed girls on mental rotation tests across all three grades, and on fifth and seventh grade math reasoning tests. Consistent with the literature on between-person comparisons, there was a positive correlation between mental rotation and math reasoning skills in the full sample and for both genders. A random intercept cross-lagged panel model was used to control for these confounding group-level differences in order to isolate within-person associations between earlier and later performance. Initially in fifth grade, math reasoning predicted subsequent sixth grade mental rotation skills. By seventh grade, more advanced mental rotation skills were associated with subsequent math reasoning skills while math reasoning skills were no longer predictive of mental rotation skills. An examination of gender differences revealed that this pattern was driven by boys while girls experienced less within-person change. These findings suggest that boys may initially rely in part on their math reasoning skills to solve 3-d mental rotation tasks. However, as their 3-d mental rotation skills mature, they begin to primarily depend upon these developing spatial skills to solve math reasoning problems rather than the reverse.     

当代情绪发展理论述评

本文从情绪的定义、情绪发展的实质、情绪在个体发展中的作用等方面,评述了当代比较有影响的情绪发展理论不同的情绪发展观。这些情绪发展理论有生物观点、机能主义观点、认知观点、组织观点和社会文化观点。     

A framework for understanding the allocation of attention in location-precued discrimination

The effects of attention on visual perception are assessed in the location-precuing paradigm. First, we present a review of some current metaphors for attention and relevant data. Then, a framework is suggested that provides an interpretation of the temporal sequence of external and assumed internal processes within a location-cuing trial. Cases when a precue correctly indicates the target location (valid trials) are compared to cases when the precue directs attention to the wrong location (invalid trials) with the cue location either at fixation or peripheral to the target location. Several specific hypotheses are suggested; these concern decrements in performance on invalid trials and effects of the location of a precue. For the most part, these hypotheses are supported by data in the literature and in some new studies. A gradient-filter metaphor for attention, which includes a synthesis of ideas from the gradient model and the attention gate model, is more consistent with the data than is a spotlight metaphor.     

众善奉行 诸恶莫作

<太上感应篇>是太上道祖金口宣说.道祖大慈大悲,为劝诫世人断恶修善,明示天道好还之理,而启世人敬畏之心.     

Psychometric Properties of the Shortened Chinese Version of the Family Resilience Assessment Scale

Family theory has refocused attention from deficits to family strengths, and interest in family resilience across cultures has become more widespread. However, few instruments were designed for quantitative research on family resilience. The Family Resilience Assessment Scale (FRAS) was designed to measure family resilience and has been administered in Western populations. The aim of this study was to adapt the FRAS for use with Chinese populations and examine its psychometric properties. The study was conducted using a sample of 991 university students in China (62.9 % female, mean age 20, SD = 1.12). First, the scale was translated and modified into Chinese, and good language equivalency was found. Next, confirmatory factor analysis was used to identify the best-fitting model. Results showed that the 3-factor model consisting of 32 items was an adequate fit. The goodness-of-fit index values for the model were χ ²/df = 5.97, CFI = .84, RMSEA = .08, SRMR = .05. Total scale reliability was α = .95. According to these values it can be said that the modified Chinese version of the FRAS was adapted successfully to the Chinese culture. Moreover, researchers and clinicians can use this instrument to assess family strengths when working with individuals in families experiencing adversity.     

A logic for deontic dilemmas

The possibility of deontic dilemmas poses a significant problem for deontic logic. Here I review some proposals to resolve this problem, and then offer a new account. This is a simple modification of standard deontic logic that enables the system to accommodate deontic dilemmas without inconsistency and without deontic explosion, while at the same time accounting for the range of genuinely valid inferences.     

Combinator Logics

Combinator logics are a broad family of substructual logics that are formed by extending the basic relevant logic B with axioms that correspond closely to the reduction rules of proper combinators in combinatory logic. In the Routley-Meyer relational semantics for relevant logic each such combinator logic is characterized by the class of frames that meet a first-order condition that also directly corresponds to the same combinator's reduction rule. A second family of logics is also introduced that extends B with the addition of propositional constants that correspond to combinators. These are characterized by relational frames that meet first-order conditions that reflect the structures of the combinators themselves.