Effects of content on inclusive disjunction reasoning

An experiment is reported which establishes that inclusive disjunction arguments embedded in concrete content are not always easier to reason with than those involving abstract content. The subjects had to assess conclusions drawn from pairs of premises such as “Either Joan is intelligent or she is rich (or both); Joan is intelligent” or “Either Joan is intelligent or she is rich (or both); Joan is not intelligent”. The terms in the disjunctive premise were varied systematically across three content dimensions (i.e. compatible, abstract and contradictory). An analysis of variance revealed significant differences according to both principle of inference and type of content, and a significant interaction between these factors. The results demonstrated that semantically incompatible premise content had a marked influence on comprehension of inclusive disjunction reasoning schemes. The response patterns suggest that these reasoning schemes invited erroneous judgments based on other logical connectives.     

Propositional reasoning by model.

This article describes a new theory of propositional reasoning, that is, deductions depending on if, or, and, and not. The theory proposes that reasoning is a semantic process based on mental models. It assumes that people are able to maintain models of only a limited number of alternative states of affairs, and they accordingly use models representing as much information as possible in an implicit way. They represent a disjunctive proposition, such as "There is a circle or there is a triangle," by imagining initially 2 alternative possibilities: one in which there is a circle and the other in which there is a triangle. This representation can, if necessary, be fleshed out to yield an explicit representation of an exclusive or an inclusive disjunction. The theory elucidates all the robust phenomena of propositional reasoning. It also makes several novel predictions, which were corroborated by the results of 4 experiments.     

Varieties of Reasoning: Assessing Adequacy

Helmut Reich's theory of relational and contextual reasoning is a courageous initiative for the resolution of cognitive conflicts between apparently incompatible or incommensurable views. Built upon Piagetian logico‐mathematical reasoning, cognitive complexity theory, and dialectical and analogical reasoning, it includes the development of a both/and logic inclusive of binary either/or logic. Reich provides philosophic, theoretical, and even initial empirical support for the development of this form of reasoning along with a heuristic for its application. A valuable step beyond the limits of binary, static, and formal reasoning, it takes relationship, context, and perspectival variations seriously in an explicitly reflective and iterative system. We can and do address conflicts not resolvable by conventional appeals to logic or evidence, including those at epistemic boundaries or produced by belief‐commitment differences. Although this form of reasoning has real promise, including stepping beyond complementarity in the religion‐science dialogue, it seems better directed to causally explanatory theories than to other forms of rendering meaning. Finally, its coextension requirement may render it problematic where functionally coherent explananda cannot be identified or are themselves produced or constituted by a belief system.     

Reasoning with realistic disjunctives

The research reported here investigated how people interpret and reason with disjunctive statements. Experiment 1 demonstrated a general preference for exclusive over inclusive interpretations, although this varied as a function of the context in which the statement occurred, and there were some contexts in which other, quite different, interpretations were possible. Experiments 2 and 3 showed that the logical inferences subjects would draw from disjunctive statements also varied with context. It is concluded that or permits a number of different interpretations, which are determined by contextual cues. Previous research may have underestimated disjunctive reasoning performance by using contexts that lead to non-logical responses; certainly in the present experiments reasoning was generally accurate given the interpretation adopted.     

Qualitative probabilistic inference under varied entropy levels

In previous work, we studied four well known systems of qualitative probabilistic inference, and presented data from computer simulations in an attempt to illustrate the performance of the systems. These simulations evaluated the four systems in terms of their tendency to license inference to accurate and informative conclusions, given incomplete information about a randomly selected probability distribution. In our earlier work, the procedure used in generating the unknown probability distribution (representing the true stochastic state of the world) tended to yield probability distributions with moderately high entropy levels. In the present article, we present data charting the performance of the four systems when reasoning in environments of various entropy levels. The results illustrate variations in the performance of the respective reasoning systems that derive from the entropy of the environment, and allow for a more inclusive assessment of the reliability and robustness of the four systems.     

HOW DIAGRAMS CAN IMPROVE REASONING

Abstract— We report an experimental study on the effects of diagrams on deductive reasoning with double disjunctions, for example:
Raphael is in Tacoma or Julia is in Atlanta, or both. Julia is in Atlanta or Paul is in Philadelphia, or both. What follows?
We confirmed that subjects find it difficult to deduce a valid conclusion, such as
Julia is in Atlanta, or both Raphael is in Tacoma and Paul is in Philadelphia.
In a preliminary study, the formal of the premises was either verbal or diagrammatic, and the diagrams used icons to distinguish between inclusive and exclusive disjunctions. The diagrams had no effect on performance. In the main experiment, the diagrams made the alternative possibilities more explicit. The subjects responded faster (about 35 s) and drew many more valid conclusions (nearly 30%) from the diagrams than from the verbal premises. These results corroborate the theory of mental models and have implications for the role of diagrams in reasoning.     

Assumptions and consequences of treating providers in therapy studies as fixed versus random effects: reply to Crits-Christoph, Tu, and Gallop (2003) and Serlin, Wampold, and Levin (2003)

In their comments on the authors' article, R. C. Serlin, B. E. Wampold, and J. R. Levin and P. Crits-Christoph, X. Tu, and R. Gallop took issue with the authors' suggestion to evaluate therapy studies with nested providers with a fixed model approach. In this rejoinder, the authors' comment on Serlin et al's critique by showing that their arguments do not apply, are based on misconceptions about the purpose and nature of statistical inference, or are based on flawed reasoning. The authors also comment on Crits-Christoph et al's critique by showing that the proposed approach is very similar to, but less inclusive than, their own suggestion.     

Children's cognitive representation of the mathematical number line

Learning of the mathematical number line has been hypothesized to be dependent on an inherent sense of approximate quantity. Children's number line placements are predicted to conform to the underlying properties of this system; specifically, placements are exaggerated for small numerals and compressed for larger ones. Alternative hypotheses are based on proportional reasoning; specifically, numerals are placed relative to set anchors such as end points on the line. Traditional testing of these alternatives involves fitting group medians to corresponding regression models which assumes homogenous residuals and thus does not capture useful information from between‐ and within‐child variation in placements across the number line. To more fully assess differential predictions, we developed a novel set of hierarchical statistical models that enable the simultaneous estimation of mean levels of and variation in performance, as well as developmental transitions. Using these techniques we fitted the number line placements of 224 children longitudinally assessed from first to fifth grade, inclusive. The compression pattern was evident in mean performance in first grade, but was the best fit for only 20% of first graders when the full range of variation in the data are modeled. Most first graders' placements suggested use of end points, consistent with proportional reasoning. Developmental transition involved incorporation of a mid‐point anchor, consistent with a modified proportional reasoning strategy. The methodology introduced here enables a more nuanced assessment of children's number line representation and learning than any previous approaches and indicates that developmental improvement largely results from midpoint segmentation of the line.     

Styles of Rejection in Local Public Argument on Iraq

A campaign to pass city council resolutions opposing an American invasion of Iraq in the Fall of 2002 and Spring of 2003 provided an opportunity to examine contrasting styles of public argument. This paper examines an extensive set of news and editorial articles as well as the actual deliberations before city councils. An argument’s style constructs a relationship between the speaker, audience, and issue through the strategic use of language. Two conflicting styles of argument were apparent in these deliberations: a protest style and a dissent style. Each style operated within a different normative frame that managed tensions between unity and division, participation and its lack, and inclusive and exclusive reasoning. While protest and dissent styles conflict, each frames important relationships for public discourse and deliberation.     

Inclusiveness of identification among farmers in The Netherlands and Galicia (Spain)

In this paper we discuss inclusiveness of identification among farmers in Galicia (Spain) and The Netherlands. Identification with three nested categories—farmers in the local community, farmers in the country, and farmers in Europe was assessed among 167 Dutch and 248 Galician farmers at three points in time: winter of 1993/94, winter 1995 and fall 1995. Our findings suggest that inclusiveness reduces the level of identification. However, the observed patterns of identification were more complex than inclusiveness per se can account for. Borrowing from the common ingroup‐identity model, functional and socialization models of identity formation, and a model of politicized collective identity we formulated hypotheses about patterns of identification that were to be expected. On the whole our findings supported our theoretical reasoning. Galician farmers appear to identify much less with farmers in their country and Europe than Dutch farmers do. Inclusiveness of identification appears to be linked to experience with national and supranational political institutions. More political knowledge and involvement appear to generate more inclusive patterns of identification. Among Galician farmers evaluation of the agricultural policy of the European Union is negatively related to identification with farmers in Europe, among Dutch farmers the two are positively related. Finally, more inclusive identities seem to be more politicized. Copyright © 2004 John Wiley & Sons, Ltd.     

Evolutionary neurology,responsive equilibrium,and the moral brain

The relation between morality and the brain is a topic usefully examined through the evolutionary neurology of John Hughlings-Jackson, who considered higher mental function to be progressively inclusive integration of sensori-motor processes. His view, based on careful observations of patients with neurological disorders, implies that moral reasoning involves integration and coordination of behaviour through a process of representation and re-representation encompassing broader and broader types of information sensitive to environmental contingencies. The relevant information is processed in diverse brain areas: superior temporal sulcus (STS), inferior parietal lobule (IPL), inferior frontal gyrus (IFG), dorsolateral prefrontal (DLPF) areas, as well as anterior temporal (AT) structures. Moral function can be regarded as maximally integrating emotion, social cognition, and other-regarding sensibilities using propositionally organised cognitive structures that map a shared world of human activity and relationships so that they take account of what in social and personal life counts as something.     

Mental set and creative thought in social conflict: threat rigidity versus motivated focus

According to the traditional threat-rigidity reasoning, people in social conflict will be less flexible, less creative, more narrow-minded, and more rigid in their thinking when they adopt a conflict rather than a cooperation mental set. The authors propose and test an alternative, motivated focus account that better fits existing evidence. The authors report experimental results inconsistent with a threat-rigidity account, but supporting the idea that people focus their cognitive resources on conflict-related material more when in a conflict rather than a cooperation mental set: Disputants with a conflict (cooperation) set have broader (smaller) and more (less) inclusive cognitive categories when the domain of thought is (un)related to conflict (Experiment 1a-1b). Furthermore, they generate more, and more original competition tactics (Experiments 2-4), especially when they have low rather than high need for cognitive closure. Implications for conflict theory, for motivated information processing, and creativity research are discussed.     

Inference processes in learning well-defined concepts

In an adaptation of usual experimental techniques for studying the performance of a subject who has to discover a well-defined concept, two theories were independently tested. It was found that Bourne's set of inference operations (Bourne 1974; Salatas and Bourne 1974) predicted fairly well the relative difficulty for the connectives studied (inclusive disjunctive, alternative denial, joint denial, exclusive, exclusive disjunctive) for a stimulus population based on three-valued dimensions but not for a four-valued stimulus population. Reaction times gathered after the subject made no further classification errors fitted the decision-tree structures developed by Hunt et al. (1966). Inspection of the hypotheses subjects made about the rule, revealed two possible major reasoning obstacles: the introduction of a negative attribute and the notion of exception i.e. when the assignment of an attribute in one class depends on another attribute whereas in another class it does not.     

Selecting analogous problems: Similarity versus inclusiveness

Students were asked to select one of two analogous problems in order to solve algebra word problems. In Experiment 1, one problem was less inclusive and the other was more inclusive than a test problem. The students judged the complexity and similarity of problems, selected analogous problems, and used the solutions to solve test problems. They performed significantly better on the test problems when given the more inclusive solutions, but used perceived similarity rather than inclusiveness to select analogous problems. The same pattern of results occurred in Experiment 2, in which isomorphic problems replaced the more inclusive problems. The results show that students are deficient in selecting good analogies, both from the same category (Experiment 1) and from a different category (Experiment 2). Students who saw the analogous solutions (Experiment 3) or were majoring in mathematics (Experiment 4) were more likely to select an isomorphic problem over a less inclusive problem, but were not more likely to select a more inclusive over a less inclusive problem.     

Color-function categories that prime infants to use color information in an object individuation task

There is evidence for developmental hierarchies in the type of information to which infants attend when reasoning about objects. Investigators have questioned the origin of these hierarchies and how infants come to identify new sources of information when reasoning about objects. The goal of the present experiments was to shed light on this debate by identifying conditions under which infants’ sensitivity to color information, which is slow to emerge, could be enhanced in an object individuation task. The outcome of Experiment 1 confirmed and extended previous reports that 9.5-month-olds can be primed, through exposure to events in which the color of an object predicts its function, to attend to color differences in a subsequent individuation task. The outcomes of Experiments 2-4 revealed age-related changes in the nature of the representations that support color priming. This is exemplified by three main findings. First, the representations that are formed during the color-function events are relatively specific. That is, infants are primed to use the color difference seen in the color-function events to individuate objects in the test events, but not other color differences. Second, 9.5-month-olds can be led to form more abstract event representations, and then generalize to other colors in the test events if they are shown multiple pairs of colors in the color-function events. Third, slightly younger 9-month-olds also can be led to form more inclusive categories with multiple color pairs, but only when they are allowed to directly compare the exemplars in each color pair during the present events. These results shed light on the development of categorization abilities, cognitive mechanisms that support color-function priming, and the kinds of experiences that can increase infants’ sensitivity to color information.     

Clergymen and clergywomen: the same inclusive gospel?

Some commentators suggest that clergywomen bring a different perspective to ministry in comparison with that brought by clergymen. This paper explores the extent to which clergywomen bring a more inclusive set of values and beliefs to the pulpit. Data from the Church Times Survey conducted in April 2001 enable this question to be examined across four main areas: inclusive beliefs, pastoral inclusivity, inclusive views on ordained ministry, and social inclusivity. The analysis suggests that clergywomen do bring a more inclusive perspective to ministry than clergymen across the four areas explored in this study.     

Making a difference for young people with learning disabilities: A model for inclusive counselling practice

The prevalence of mental health problems in young people with learning disabilities and the disability rights movement provide the background to this paper. The aims are to investigate the inclusivity of counselling; gain insight into inclusive practices; and put forward a model for inclusive counselling practice. Mixed methodology provides quantitative and qualitative data through a survey of counsellors (n = 396) and a series of semi‐structured interviews (n = 15). The results produce six indicators of inclusive counselling, which are used to build a model for inclusive counselling practice: proactive approach to inclusion; focus on building relationships; operationalising equal opportunities policies; inclusive initial assessments; adopting flexible and creative approaches to counselling; and training and awareness raising. The implications for research and practice are to acknowledge the exclusive nature of the profession and address the issue of inclusion through training, professional development and further research in the field. The model for inclusive counselling practice is put forward as a tool for auditing existing counselling provision and as guidance for counsellors and policy makers in increasing inclustion of young people with learning disabilities in mainstream counselling.     

A Comparison on Inclusive Practices for Children with Special Needs in Faith-Based Kindergartens in Hong Kong

This qualitative study aimed to examine the inclusive practices implemented in three faith-based kindergartens in Hong Kong. A questionnaire was used to collect information about school backgrounds, students’ special needs, teacher training, special education services, curriculum design, school policy, parental involvement, and challenges faced by these schools when implementing their inclusive practices. The primary focus of this study was the influence of faiths on the provision of inclusive services for children with special needs. The results indicated that faiths, along with other factors, have played a significant role in contributing to the inclusive education services provided to children in these schools.     

The Inclusion Inventory

Abstract

While several studies have investigated the effects of inclusive education on children receiving special education services, less effort has been directed toward assessing implementation of inclusive educational practices. This article describes development of the Inclusion Inventory, a 90-item tool designed to survey educators' perceptions of inclusive educational practices in their school. Administration of the Inventory to 2,763 respondents from 72 schools across a large southwestern state yielded internal consistency reliability coefficients of .72 and above for the seven subscales. Respondents with experience in inclusive educational practices and those from schools where teams implement inclusive education tended to have higher ratings on the Inclusion Inventory. Implications are considered for educators and others involved in inclusive education.     

新瓶旧酒或推陈出新：包容性领导是一种独立的领导类型吗？

包容性领导是解决当前职场中员工多样性问题的一种新型领导类型。由于领导类型众多且存在交叉重叠现象,包容性领导是否是一种独立的领导类型值得检验。176份纵向调查数据分析结果表明：与变革型领导、交易型领导和家长式领导相比,包容性领导具有独立的概念结构,在对领导成员交换和工作满意度的预测上具有显著的增进效应和优势效应。