Spatial numerical associations in preschoolers

ABSTRACT

Three-to-five-year-old French children were asked to add or remove objects to or from linear displays. The hypothesis of a universal tendency to represent increasing number magnitudes from left to right led to predict a majority of manipulations at the right end of the rows, whatever children's hand laterality. Conversely, if numbers are not inherently associated with space, children were expected to favour laterality-consistent manipulations. The results showed a strong tendency to operate on the right end of the rows in right-handers, but no preference in left-handers. These findings suggest that the task elicited a left-to-right oriented representation of magnitudes that counteracted laterality-related responses in left-handed children. The young age of children and the lack of a developmental trend towards right preference weaken the hypothesis of a cultural origin of this oriented representation. The possibility that our results are due to weaker brain lateralisation in left-handers compared to right-handers is addressed in Discussion section.     

发展性计算障碍儿童的数量转换缺陷

本研究拟考察发展性计算障碍儿童的认知缺陷成因。实验1要求被试在三种形式(点/点,数/数,点/数)下进行数量比较,实验2仅将点集替换为汉字数字词。结果表明障碍组和正常组在数/数、点/数和汉字/汉字比较任务上的成绩存在显著差异,而在点/点和汉字/汉字比较上没有差异。据此推论,计算障碍儿童符号加工能力受到损伤,符号与非符号数量转换能力存在缺陷,但非符号加工能力和不同符号间数量转换没有缺陷,支持语义提取缺陷假设。     

Prospective Elementary Teachers Learning to Reason Flexibly with Sums and Differences: Number Sense Development Viewed Through the Lens of Collective Activity

I present a viable learning trajectory for prospective elementary teachers’ number sense development with a focus on whole-number place value, addition, and subtraction. I document a chronology of classroom mathematical practices in a Number and Operations course. The findings provide insights into prospective elementary teachers’ number sense development. These include the role of standard algorithms and their relationship to the evolution of classroom mathematical practices that involve reasoning flexibly about number composition, sums, and differences.     

The Medium Shapes the Message: McLuhan and Grice Revisited in Race Talk Online

Compared with the wealth of research accumulated on face‐to‐face social interactions, relatively little research has examined race talk within anonymous Web 2.0 mediums. We investigated online threaded comments on YouTube video clips of two race‐related incidents involving New Zealand television presenter Paul Henry. Through thematic content analysis, thematic analysis, and discourse analysis, it was found that characteristics unique to Web 2.0 were associated with the appearance of old‐fashioned racism and high‐levels of obscenity (together with modern racism/symbolic racism). The hyper‐low context of communication led to interpretive ambiguity; conversation sequences failed to follow Gricean maxims for cooperative communication, with most comments attracting no replies and the modal sequence being two turns. There was almost never resolution to a disagreement online: rather there was points‐scoring against opposing opinions and a tangential style of dialogue influenced by the asynchronous and anonymous nature of communication. The YouTube medium shaped but did not determine the message, as obscenity and racist content in the target video from the eliciting public figure influenced the subsequent degree of obscenity and hostility in the responses. A third corpus that examined responses to our own research on race talk presented on a news website (stuff.co.nz) underlined this point by engendering a dramatically different response to the same subject, retaining the tangential style of communication, but with little to no obscenity. A framework to understand race talk as a function of both medium and context effects is proposed. Copyright © 2014 John Wiley & Sons, Ltd.     

Matrix training of preliteracy skills with preschoolers with autism

Matrix training is a generative approach to instruction in which words are arranged in a matrix so that some multiword phrases are taught and others emerge without direct teaching. We taught 4 preschoolers with autism to follow instructions to perform action-picture combinations (e.g., circle the pepper, underline the deer). Each matrix contained 6 actions on 1 axis and 6 pictures on the other axis. We used most-to-least prompting to train the instructions along the diagonal of each matrix and probed the untrained combinations. For 2 participants, untrained responding emerged after the minimum amount of training. The other 2 participants required further training before untrained combinations emerged. At the end of the study, 3 of the 4 participants performed the trained actions with previously known pictures, letters, and numbers. This study demonstrated that matrix training is an efficient approach to teaching language and literacy skills to children with autism.     

“多少”概念发展的研究

采用数量判定任务,分别用2～30和5～100范围内点子图为刺激,研究个体“多”和“少”概念的发展。结果发现：在5～100点子条件下,随年龄的增长,个体“多”概念的判断值、“少”概念的判断值、“多”“少”概念的临界值均显著增大;7～9岁是个体“多少”概念发展的转折期;个体对“多少”概念的认知具有相对性;在本实验的两种条件下,随年龄增长,个体“多”概念的判断值、“少”概念的判断值、“多”“少”概念的临界值逐渐趋于刺激点子数最大值的2/3、1/3、1/2,“多”概念与“少”概念判断的不确定距离逐渐趋于刺激点子数最大变化范围的1/3或略小于1/3。     

How do we convert a number into a finger trajectory?

How do we understand two-digit numbers such as 42? Models of multi-digit number comprehension differ widely. Some postulate that the decades and units digits are processed separately and possibly serially. Others hypothesize a holistic process which maps the entire 2-digit string onto a magnitude, represented as a position on a number line. In educated adults, the number line is thought to be linear, but the “number sense” hypothesis proposes that a logarithmic scale underlies our intuitions of number size, and that this compressive representation may still be dormant in the adult brain. We investigated these issues by asking adults to point to the location of two-digit numbers on a number line while their finger location was continuously monitored. Finger trajectories revealed a linear scale, yet with a transient logarithmic effect suggesting the activation of a compressive and holistic quantity representation. Units and decades digits were processed in parallel, without any difference in left-to-right vs. right-to-left readers. The late part of the trajectory was influenced by spatial reference points placed at the left end, middle, and right end of the line. Altogether, finger trajectory analysis provides a precise cognitive decomposition of the sequence of stages used in converting a number to a quantity and then a position.     

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.     

A Primer on Psychological Theory

This paper addresses some of the principal constituent elements in the formation of theories in the science of psychology. To that end, means of theory construction, concomitant theory functions and types, and norms of acceptance are presented. Where appropriate, efforts were made to cite particular historic or contemporary theories of human behavior as cogent exemplars.     

A quality assurance programme for psychotherapy — The finnish experience

In many respects the status of psychotherapy in public health-care systems is similar to that of alternative medicine. The roots of training are outside universities. Legitimation and public funding have been non-existent or insufficient as compared with other fields of health care. Also a great deal of mysticism is attached to both. It is therefore relevant to study the role of psychotherapy from the frame of reference given by research into alternative health care.

Formal health care is characterised by (1) legalised status, (2) access to public funding and (3) integration in the formal medical curriculum. On the other hand there are several treatment philosophies which remain as outsiders from the point of view of formal health care. Informal health care approaches are characterised by (1) lack of legalised status, (2) no access to public funding and (3) no integration in the medical curriculum. Alternative medicine is a term usually attached to forms of informal health care like acupuncture, Spa-culture etc.

Psychotherapy in the public health sector lies somewhere between formal and informal health care. While it has no legalised status, anyone may call himself ‘psychotherapist’. Its definition remains obscure and its public accountability poor.

In this paper I have tried to show how one country — Finland — has tried to grapple with this problem as it attempted to set up psychotherapy services whose quality could be properly monitored — ‘Quality Assurance’ — allowing for public accountability. Now that psychotherapy is well established as a valuable treatment in the field of mental health it is possible to consider future expansion as a cost-effective way to improve the general mental health of the country.