4~8年级学生分数数量表征的准确性及形式

在分数学习中,分数数量表征是非常重要的方面。本研究利用数字线估计任务对四到八年级学生分数数量表征的情况进行探索。研究结果表明：随着年级升高,被试分数数量表征的准确性也随之提高;被试对单位分数和非单位分数表征的准确性存在显著差异,表现为对单位分数表征的准确性显著高于对非单位分数的表征,这种差异在低年级显著,随着年级的增长,差异逐渐消失;四到八年级学生在0~3数字线上,对分数数量的表征表现为线性形式而非对数形式,且这种线性表征形式是在六年级开始出现并随着年龄增长逐渐发展起来的。中西方儿童在分数数量表征的准确性和形式上有相似的发展路径,但是在表征准确性上中国儿童更高、线性形式出现年级上中国儿童可能更早。     

Does solving distant analogies facilitate relational integration?

Relational processing underpins many forms of human thinking. This research addressed whether relational integration in the n-term task (linear syllogisms with three and four premises) can be facilitated. We hypothesised that solving distant analogies (e.g. furnace : coal :: stomach : ______) but not near analogies (e.g. furnace : coal :: woodstove :______) would facilitate n-term performance of undergraduates (N?=?120). Participants generated solutions to near analogies (near condition), to distant analogies (distant condition) while participants in the control condition completed a word rating task. Participants then completed the n-term task with items at two levels of complexity (ternary, quaternary), and a fluid intelligence test. Solving distant analogies facilitated relational integration on the more complex quaternary-relational items. It eliminated the complexity effect in the n-term task and the association between quaternary-relational reasoning and fluid intelligence.     

Representation and Reasoning about Evolutions of the World in the Context of Reasoning about Actions

The first step in reasoning about actions and change involves reasoning about how the world would evolve if a certain action is executed in a certain state. Most research on this assumes the evolution to be only a single step and focus on formulating the transition function that defines changes between states due to actions. In this paper we consider cases where the evolution is more than just a single change between one state and another. This is manifested when the execution of an action may trigger execution of other actions, or when multiple agents act on the environment following certain strategies.     

Working with Families from the Indian Sub-Continent: An Indo-German Experience*

Whereas most Western European therapists and clients consider emotional distance and abstinence as desirable and conducive in the therapeutic process, this may not always be the case with clients from India. Cultural components such as the contrast between linear and cyclic world-views and the traditional view of the psychologist as an advisor in India present a challenge to professionals with a Western background. Some factors such as the situation of women in society and seemingly too close familiy ties can mean that a Western therapist fails to promote the changes an Indian client is desiring for his or her family. However, besides cultural awareness and caution, one of the most helpful tools in work across cultures is curiosity in its most positive sense and the readiness to be surprised by ones’ clients.I would like to thank all my Indian colleagues who supported and advised me in my work in India.     

Where do "constraints" come from? A comparison between inferences in biology and in word learning

In this paper, as a commentary on the papers in this special issue, the nature of constraints is discussed in terms of the comparison between inferences in biology and in word learning. Young children's inferences in biology could be constrained by three sources of information: factual knowledge, expectations based on a theory, and ontological knowledge. For example, young children's inference about the length of noses could be constrained by the facts the children know about the animals, the similarity between the animals and humans, and the ontological distinction between living things and nonliving things. In the same way, young children might figure out word meanings by linguistic and pragmatic knowledge, expectations of word meanings (e.g., the whole-object assumption), and ontological knowledge. Interactions among these sources of knowledge are documented by the papers in this special issue and related studies. It is argued that learning biases such as the whole-object assumption could not be induced only by linguistic and pragmatic cues in a social context, but should be regarded as a product of the interaction between a social context and children's theories.     

On the Concept of the Scale

The theory of linear arrays provides a definition of linear order from the reflexive, symmetric, but non-transitive relation of matching. However, a distance function is not generally available for the elements of a linear array. Given the original intended interpretation of the matching predicate as holding between phenomenal qualia, this result presents an apparent contradiction to the existence of human practices, specifically the tradition of musical practice described by common-practice music theory, that involve precise judgments of phenomenal distance. This paper resolves that seeming contradiction by constructing a notion of the musical scale out of the theory of linear arrays. First, the theory of linear arrays is briefly reviewed. Then, criteria of adequacy for the construction are adduced from common-practice music theory, the theory of measure and the semiotic theory of notation. The construction is presented along with results indicating its fulfillment of the criteria of adequacy. Finally, the relations between several variables introduced in the course of the construction are investigated.     

The man who listens to behavior: folk wisdom and behavior analysis from a real horse whisperer

The popular novel and movie The Horse Whisperer are based on the work of several real-life horse whisperers, the most famous of whom is Monty Roberts. Over the last 50 years, Roberts has developed a technique for training horses that is both more effective and less aversive than traditional training techniques. An analysis of Roberts' methods (as described in his book, The Man Who Listens to Horses) indicates a deep understanding of behavioral principles including positive reinforcement, timeout, species-specific defense reactions, “learned helplessness,” and the behavioral analysis of language. Roberts developed his theory and techniques on the basis of personal experience and folk wisdom, and not as the result of formal training in behavior analysis. Behavior analysts can clearly learn from such insightful yet “behaviorally incorrect” practitioners, just as such practitioners can benefit from the objective science of behavior analysts.     

An item response model with internal restrictions on item difficulty

An IRT model based on the Rasch model is proposed for composite tasks, that is, tasks that are decomposed into subtasks of different kinds. There is one subtask for each component that is discerned in the composite tasks. A component is a generic kind of subtask of which the subtasks resulting from the decomposition are specific instantiations with respect to the particular composite tasks under study. The proposed model constrains the difficulties of the composite tasks to be linear combinations of the difficulties of the corresponding subtask items, which are estimated together with the weights used in the linear combinations, one weight for each kind of subtask. Although the model does not belong to the exponential family, its parameters can be estimated using conditional maximum likelihood estimation. The approach is demonstrated with an application to spelling tasks. We thank Eric Maris for his helpful comments.