Working memory resources in young children with mathematical difficulties

Kyttälä, M., Aunio, P. & Hautamäki, J. (2010). Working memory resources in young children with mathematical difficulties. Scandinavian Journal of Psychology, 51 , 1–15.
Working memory (WM) ( Baddeley, 1986, 1997 ) is argued to be one of the most important cognitive resources underlying mathematical competence ( Geary, 2004 ). Research has established close links between WM deficits and mathematical difficulties. This study investigated the possible deficits in WM, language and fluid intelligence that seem to characterize 4- to 6-year-old children with poor early mathematical skills before formal mathematics education. Children with early mathematical difficulties showed poor performance in both verbal and visuospatial WM tasks as well as on language tests and a fluid intelligence test indicating a thoroughly lower cognitive base. Poor WM performance was not moderated by fluid intelligence, but the extent of WM deficits was related to language skills. The educational implications are discussed.     

THE DYNAMICS OF THE LAW OF EFFECT: A COMPARISON OF MODELS

Dynamical models based on three steady‐state equations for the law of effect were constructed under the assumption that behavior changes in proportion to the difference between current behavior and the equilibrium implied by current reinforcer rates. A comparison of dynamical models showed that a model based on Navakatikyan's (2007) two‐component functions law‐of‐effect equations performed better than models based on Herrnstein's (1970) and Davison and Hunter's (1976) equations. Navakatikyan's model successfully described the behavioral dynamics in schedules with negative‐slope feedback functions, concurrent variable‐ratio schedules, Vaughan's (1981) melioration experiment, and experiments that arranged equal, and constant‐ratio unequal, local reinforcer rates.     

The spatial mapping of concepts in English and Mandarin

ABSTRACT

English speakers have been shown to map abstract concepts in space, which occurs on both the vertical and horizontal dimensions. For example, words such as God are associated with up and right spatial locations, and words such as Satan with down and left. If the tendency to map concepts in space is a universal property of human cognition, then it is likely that such mappings may be at least partly culturally-specific, since many concepts are themselves language-specific and therefore cultural conventions. Here we investigated whether Mandarin speakers report spatial mapping of concepts, and how these mappings compare with English speakers (i.e. are words with the same meaning associated with the same spatial locations). Across two studies, results showed that both native English and Mandarin speakers reported spatial mapping of concepts, and that the distribution of mappings was highly similar for the two groups. Theoretical implications are discussed.     

Mapping an HIV/STD prevention curriculum for Zambian in-school settings

HIV/AIDS poses grave risk to human development in sub-Saharan Africa. Evidence-based interventions that are rooted in local culture could help efforts to prevent threats to human development from HIV/AIDS. We used concept mapping (Concept System, 2006 ) to construct the components and content of a locally developed HIV/AIDS curriculum for use by secondary schools in Lusaka, Zambia. Participants were school counsellors (n = 14), youth health program officers (n = 7), and regular education teachers (n = 3) from the education, health, and youth development agencies in Lusaka, Zambia (males = 11; females = 13; mean age 38; SD = 15 years). Concept mapping yielded six statement clusters defining preliminary components of a locally grounded in-school HIV/AIDS prevention curriculum and the content items that define these components: (1) life skills education (18 items), (2) sexuality and reproductive health (10 items), (3) treatment, care and support (13 items), (4) counselling (12 items), (5) basic facts about HIV/AIDS (11 items), and (6) dissemination of information about HIV/AIDS (11 items). Zambian locally constructed constructs for an HIV/STD prevention curriculum overlap those promoted by public health programs in the country and internationally.     

Mathematical psychology: Prospects for the 21st century: A guest editorial

The twenty-first century is certainly in progress by now, but hardly well underway. Therefore, I will take that modest elasticity in concept as a frame for this essay. This frame will serve as background for some of my hopes and gripes about contemporary psychology and mathematical psychology’s place therein. It will also act as platform for earnest, if wistful thoughts about what might have (and perhaps can still) aid us in forwarding our agenda and what I see as some of the promising avenues for the future. I loosely structure the essay into a section about mathematical psychology in the context of psychology at large and then a section devoted to prospects within mathematical psychology proper. The essay can perhaps be considered as in a similar spirit, although differing in content, to previous editorial-like reviews of general or specific aspects of mathematical psychology such as [Estes, W. K. (1975). Some targets for mathematical psychology. Journal of Mathematical Psychology, 12, 263-282; Falmagne, J. C. (2005). Mathematical psychology: A perspective. Journal of Mathematical Psychology, 49, 436-439; Luce, R. D. (1997). Several unresolved conceptual problems of mathematical psychology. Journal of Mathematical Psychology, 41, 79-87] that have appeared in this journal.     

The Humean problem of induction and Carroll’s Paradox

Hume argued that inductive inferences do not have rational justification. My aim is to reject Hume’s argument. The discussion is partly motivated by an analogy with Carroll’s Paradox, which concerns deductive inferences. A first radically externalist reply to Hume (defended by Dauer and Van Cleve) is that justified inductive inferences do not require the subject to know that nature is uniform, though the uniformity of nature is a necessary condition for having the justification. But then the subject does not have reasons for believing what she believes. I defend a moderate externalist account that seeks to partly accommodate that objection to the radical externalist proposal. It is based on an extension of Peacocke’s theory of concepts: possession conditions for predicative concepts standing for natural properties include (fallible) dispositions to project them to new cases in accordance with inductive inferential patterns.

Congruity Effects in Time and Space: Behavioral and ERP Measures

Two experiments investigated whether motion metaphors for time affected the perception of spatial motion. Participants read sentences either about literal motion through space or metaphorical motion through time written from either the ego-moving or object-moving perspective. Each sentence was followed by a cartoon clip. Smiley-moving clips showed an iconic happy face moving toward a polygon, and shape-moving clips showed a polygon moving toward a happy face. In Experiment 1, using an explicit judgment task, participants judged smiley-moving cartoons as related to ego-moving sentences about space and about time, and shape-moving cartoons as related to object-moving sentences. In Experiment 2, participants viewed the same stimuli, but the cartoons were task-irrelevant. Event-related brain potentials revealed an early attentional effect of congruity on cartoons following sentences about space, and a later semantic effect on cartoons following sentences about time. Results are most consistent with accounts that posit differences in the processing of novel and conventional metaphors.     

NONEMPIRICAL REALITY: TRANSCENDING THE PHYSICAL AND SPIRITUAL IN THE ORDER OF THE ONE

I describe characteristic phenomena of quantum physics that suggest that reality appears to us in two domains: the open and well‐known domain of empirical, material things—the realm of actuality—and a hidden and invisible domain of nonempirical, non‐material forms—the realm of potentiality. The nonempirical forms are part of physical reality because they contain the empirical possibilities of the universe and can manifest themselves in the empirical world. Two classes of nonempirical states are discussed: the superposition states of microphysical entities, which are nonempirical because observation destroys them, and the virtual states of material systems, which are nonempirical because they are empty. The non‐empirical part to physical reality represents a predetermined and hidden order that exists before it is empirical, and the visible world is an emanation out of it. I discuss consequences for our understanding of human nature, the origin of life, and human values. Reality is an indivisible wholeness that is aware of its processes, like a Cosmic Spirit, and it reveals its awareness in the mindlike properties of elementary processes as well as in the human consciousness. Thus, one is led to G. W. F. Hegel's thesis that the Cosmic Spirit is thinking in us.     

数学能力与决策的关系：个体差异的视角

即便在相同的情形中, 每个人所做的决策也有千差万别, 导致决策个体差异的因素之一就是数学能力。文章综述了算术能力、数量表征、概率推理能力以及数学认知启发式对各种决策的影响。目前这方面的研究或者采用相关范式将数学能力作为决策的外部关联因素, 或者采用成分范式确定决策过程所需要的特定数学认知成分; 观点上的主要争论在于是一般认知能力还是数学能力在预测决策表现, 以及数学能力是否总是对决策有积极作用; 此外, 双系统模型和模糊痕迹理论有望为决策的个体差异提供理论解释。今后研究应该澄清上述争论, 确定合适的研究范式和结果解释框架, 并探讨更多提高决策能力的措施。