Numerical approximation abilities correlate with and predict informal but not formal mathematics abilities

Previous research has found a relationship between individual differences in children’s precision when nonverbally approximating quantities and their school mathematics performance. School mathematics performance emerges from both informal (e.g., counting) and formal (e.g., knowledge of mathematics facts) abilities. It remains unknown whether approximation precision relates to both of these types of mathematics abilities. In the current study, we assessed the precision of numerical approximation in 85 3- to 7-year-old children four times over a span of 2 years. In addition, at the final time point, we tested children’s informal and formal mathematics abilities using the Test of Early Mathematics Ability (TEMA-3). We found that children’s numerical approximation precision correlated with and predicted their informal, but not formal, mathematics abilities when controlling for age and IQ. These results add to our growing understanding of the relationship between an unlearned nonsymbolic system of quantity representation and the system of mathematics reasoning that children come to master through instruction.     

Limitations of the Mnemonic-Keyword Method

The effectiveness of the mnemonic-keyword method was investigated in 4 experiments in which participants were required to learn the lst-language (L₁, Spanish) equivalents of a list of 30 2nd-language words (L₂, Latin). Experiments 1 (adolescents) and 2 (adults) were designed to assess whether the keyword method was more effective than the rote method; the researcher supplied the keyword, and the participants were allowed to pace themselves through the list. Experiments 3 (adolescents) and 4 (adults) were similar to Experiments 1 and 2 except that the participants were also supplied with a drawing that illustrated the relationship between the keyword and the L₁ target word. All the experiments were performed with groups of participants in their classrooms (i.e., not in a laboratory context). In all experiments, the rote method was significantly more effective than was the keyword method.     

Comparing Delay Discounting Rates When Using the Fill-in-the-Blank and Multiple-Choice Methods

Several methods have been devised to measure delay discounting. The present study recruited university students to complete a delay-discounting task involving five different outcomes (finding a dating partner, free cigarettes, winning $100,000, being owed $100,000, and obtaining one's ideal body image) that was administered using either the fill-in-the blank (FITB) or multiple-choice (MC) method. Results showed that the different administration methods sometimes produced significantly different rates of discounting, the direction of which differed by outcome. Hyperbolic discounting and the area under the discounting curve were nearly always significantly correlated when the FITB method was used but were never significantly correlated when the MC method was used. Discounting across the five outcomes produced a two-factor solution when the FITB data were factor analyzed. The MC data were described by a one-factor solution. The present results illustrate that procedural variables have a potentially profound impact on delay-discounting data, and generalizing from studies on delay discounting should be done with caution until those variables are fully understood.     

The Roles of Explanation and Feedback in False Belief Understanding: A Microgenetic Analysis

The authors examined effects of feedback and explanation on false belief performance. Thirty-three children (42–54 months; 15 girls, 18 boys) were randomly assigned to four treatment conditions: explanation, feedback, feedback researcher explains, and feedback child explains. Children completed false belief tasks during pretraining, 8 training sessions, and posttraining across 6 weeks. Language comprehension was assessed at pretraining. The authors hypothesized that children would improve most when training involved feedback and explanation. Generalized estimating equations modeling was used to analyze the data. Children who received feedback and generated explanations for characters’ false beliefs improved across training sessions more so than children in other conditions. Children's explanations for false beliefs also were explored. Implications of the findings are discussed.     

To Pass or Not to Pass: A Mathematical Model for Competitive Interactions in Rugby Union

ABSTRACT. Predicting behavior has been a main challenge in human movement science. An important step within the theory of coordination dynamics is to find out the rules that govern human behavior by defining order parameters and control parameters that support mathematical models to predict the behavior of a system. Models to describe human coordination have been focused on interlimb coordination and on interpersonal coordination in affiliative tasks but not on competitive tasks. This article aims to present a formal model with two attractors to describe the interactive behavior on a 2v1 system in rugby union. Interpersonal distance and relative velocity critical values were empirically identified and were included as task constraints that define the attractor landscape. It is shown that using relative velocity as a control parameter the model offers reasonable prediction concerning the decision-making process. The model has the plasticity to adapt to other settings where interpersonal distances and relative velocities amongst system components act as significant task constraints.     

Causality in naturally occurring computational systems

Some recent results from the study of chaotic and complex dynamical systems are invoked to assess the status of causality as it applies to naturally occurring computational systems. The evidence would support Bunge's concept of general determinism and therefore the doctrine of semicausalism. A foundation of statistical determinism must be supplemented with other notions such as interactive, emergent, contextual and structural determinism. These forms of determinism are both noncausal and nonreductionist. Contextual factors play a prominent role. Thus the likelihood of finding general methods for the prediction and control of NOCS is low.     

The Theory Of Social–Cultural Genetic Gene (S- c Dna)

It took a long time for humanity to know about biogenetics. And yet its role as a determinant in the living system was not proven until the twentieth century when DNA was discovered. Similarly, it took a long time for humanity to know about culture and civilization. And yet until now there is neither definite standards for differentiating them nor a definition that is commonly acceptable. By taking an evolutionary pluralism as ontology framework and the transdisciplinary research method of the systems science, we have in the new social system model discovered the central rules that govern the social–cultural heredity: Culture–Production–Civilization. The relationship between culture and civilization is exactly that of genotype and phenotype. Culture is the S-cDNA within the social system while civilization is the social phenotype. Culture is a determinant that ultimately determines the existence, stagnation, change, and evolution of the social system.     

Critical factor analysis: An exploratory general model for understanding diverse systems

Critical Factor Analysis (CFA) is presented as an exploratory general model for uniting the sciences and the humanities through identification and use of critical factors common to both. Two primary and eight subordinate critical factors, with corresponding principles, are identified and placed in a model that can be used for prediction, analysis, and design of systems. Use of CFA could conceivably raise system IQ, reduce unnecessary variety, and assist with the general acceptance of systems science.     

Creating a sustainable global society— the evolutionary path

Many indicators suggest that modern society is presently in a period of transition. The older order is showing obvious signs of decline, and elements of a new order appear to be forming. Growing numbers of people are coming to recognize that the worsening global dilemmas are best viewed as symptoms of an underlying disorder involving some of the most deeply underlying assumptions of modern society. The ultimate resolution of these dilemmas will come about, not through politically implemented “solutions,” but through our further evolution to a fundamentally different, “trans‐modern” society. The key challenge to individuals and organizations is to understand the necessary evolutionary change well enough to contribute toward its taking place with a minimum of attendant social disruption and human misery.     

Charles Darwin,Paul MacLean,and the lost origins of “the moral sense”: Some implications for general evolution theory

This paper reports the discovery of a lost part of Charles Darwin's theory of the origins of “the moral sense,” its apparent corroboration by what are in effect lost findings by brain researcher Paul MacLean, and the implications of these findings for the advancement of General Evolution Theory and humanity.