MizarMode—an integrated proof assistance tool for the Mizar way of formalizing mathematics

The Emacs authoring environment for Mizar (MizarMode) is today the authoring tool of choice for many (probably the majority of) Mizar authors. This article describes the MizarMode and focuses on the proof assistance functions and tools available in it.

We start with the explanation of the design principles behind the Mizar system, and show how these design principles—mainly the concentration on simple and intuitive human-oriented proofs—have helped Mizar in developing and maintaining a very large body of formalized mathematics.

Mizar is a non-programmable and non-tactical verifier: the proofs are developed in the traditional “write—compile—correct” software programming loop. While this method is in the beginning more laborious than the methods employed in tactical and programmable proof assistants, it makes the “proof code” in the long-run more readable, maintainable and reusable. This seems to be a crucial factor for a long-term and large-scale formalization effort.

MizarMode has been designed with the aim to facilitate this kind of proof development by a number of “code-generating”, “code-browsing” and “code-searching” methods, and tools programmed or integrated within it. These methods and tools now include, e.g., the automated generation of proof skeletons, semantic browsing of the articles and abstracts, structured viewing, proof advice using trained machine learning tools like the Mizar Proof Advisor, deductive tools like MoMM, etc. We give an overview of these proof-assistance tools and their integration in the MizarMode, and also discuss some emerging and future extensions such as integration of external theorem proving assistance.     

The assistant referees’ activity in refereeing elite football: Preoccupations when not judging offside

ObjectiveThe purpose of this research was to study the preoccupations assistant referees had to participate in decision making about duels during football games.DesignResearch adopted a phenomenological framework to investigate the assistant referees’ lived experiences in order to understand their activity when they judged duels in match.MethodThis study investigated six professional football matches. Researchers conducted a participatory observation of the refereeing team before each match. Twelve self-confrontation interviews with each assistant referee of each match were conducted in order to make him/her describing his/her unfolding lived experience during the match.ResultsIn case of players’ duels, the perception of contextual cues enabled the assistants to appraise the occurring of a decision process with the central referee. For the assistants, the occurring of a decision process with the central referee meant his priority to intervene in the adjudication of duels, while the absence of decision process with the central referee meant for the assistants the possibility to intervene. The assistants adjusted their way of judging duels to how the central referee judged the previous ones.ConclusionsThe participation of assistants in decision making about duels depends on their preoccupations concerning the central referee’s priority. The way assistants perceive the central referee’s contextual judgment shapes the way they adjudicate duels. A latent intention to coordinate with the central referee, in relation with their collaborative tasks, is embedded in their preoccupations. Our results are a platform to develop further research about the referees’ collective activity.     

INCREASING NURSES' USE OF FEEDBACK TO PROMOTE INFECTION-CONTROL PRACTICES IN A HEAD-INJURY TREATMENT CENTER

This study established regular implementation of a simple feedback procedure by supervisory nurses with their assistants at a head-injury treatment center. Five nurses were trained to distribute brief written comments to their assistants about infection-control practices, including using gloves to avoid contact with body fluids. Following low rates of written feedback, nurses met with the trainer weekly to set goals for using the system, to review feedback rates, and to examine contingent letters of appreciation. Written feedback increased from 0.09 to 0.58 per day. When outcome data on glove use were subsequently added to the feedback provided to nurses, nurses' feedback on glove use increased and overall glove use by assistants increased by 36.7% for 66.7% of assistants who responded to feedback. Assistants rated feedback as highly accurate and indicated some interest in receiving future feedback. However, nurses and assistants expressed a preference for oral over written feedback.     

Comparing two attributional models of job performance in retail sales: A field study

Research investigating attributional style and job performance among sales staff has been limited by its focus on specific sales roles: notably selling insurance by telephone. Important questions therefore remain regarding the mechanism by which attributions influence job performance in sales roles more generally. This paper describes a field study comparing two attributional models of job performance: (1) a learned helplessness (LH) model, and (2) an achievement motivation (AM) model. Managers' performance ratings were collected for 452 retail sales assistants who completed a job‐specific attribution questionnaire and a work‐satisfaction questionnaire. Results indicate that sales assistants who made more internalcontrollable attributions for positive outcomes received higher performance ratings (r =.20, p<.01) and were more satisfied in their work (r =.12, p< .05). The findings provide support for an AM model of job performance among retail sales assistants. They suggest that more successful sales assistants proactively manage their environment in order to create opportunities for successful interactions with customers.     

Does it deliver what it promises? Evaluation of cognitive distraction caused by speech-based interfaces with detection response and box task

Speech is considered a promising modality for human-machine interaction while driving, especially in reducing visual and manual distraction. However, speech-based user interfaces themselves have shown to increase cognitive distraction. There remains a lack of standardized and unambiguous methods for measuring the impact of speech-based assistants on cognitive distraction while driving. This work aims to investigate whether the combination of the box task and the detection response task (DRT) is a suitable method for assessing the cognitive distraction caused by speech-based assistants. For this purpose, participants (N = 39) engaged in artificial (n-back tasks) and natural speech-based secondary tasks (interaction with Android’s Google Assistant and Apple's Siri) differing in predefined levels of cognitive workload while performing the box task and the DRT. The results showed that DRT performance differed between the 0-back and 1-back task but not between the different cognitive workload levels of the speech-based assistants. No clear effects emerged for the box task parameters. Thus, the combination of the box task and DRT is well-suited for measuring cognitive distraction caused by artificial secondary tasks but not by natural interactions with speech-based assistants.     

Professional burnout and work stress among Israeli dental assistants

Professional burnout and work-related stress are known problems that have been the subject of in-depth examination among dentists. Nevertheless, these issues have not been widely studied among dental assistants. The aims of this study were threefold: to confirm the structure of a Work Stress Inventory (WSI) for Dental Assistants which was originally developed for Jordanian dental assistants (factor analysis); to evaluate work stress and burnout among Israeli dental assistants and to discover the factors predicting Israeli assistants’ burnout (regression analyses). The Maslach Burnout Inventory and the WSI were distributed by mail and in person. Varimax factor analysis revealed that the items which contribute to different aspects of work stress are similar among both Jordanian and Israeli populations. Among the 299 Israeli dental assistants who completed the questionnaires, the most stressful work-related factors were income, workload, and work hazards. Eighteen percent of the participants exhibited a high to very high level of burnout. Participants exhibited a moderate level of emotional exhaustion (EE), low level of depersonalization (DP), and high level of personal accomplishment (PA). Most WSI factors were found to correlate positively with EE and DP. Linear stepwise regression analyses revealed that the best predictor of EE was the dentist?assistant relationship, followed by workload, patient type, and salary. The best predictor of DP was patient suffering followed by dentist?assistant relationship, years of professional experience, and work hazards. Professional stress and burnout among dental assistants are important factors that can possibly affect the wellbeing of both dental personnel and their patients. Further studies are necessary to better understand these factors in addition to the effects of personal relationships on burnout among dentists and their assistants.     

Effects of training, prompting, and self-monitoring on staff behavior in a classroom for students with disabilities

This study extended the limited research on the utility of tactile prompts and examined the effects of a treatment package on implementation of a token economy by instructional assistants in a classroom for students with disabilities. During baseline, we measured how accurately the assistants implemented a classroom token economy based on the routine training they had received through the school system. Baseline was followed by brief in-service training, which resulted in no improvement of token-economy implementation for recently hired instructional assistants. A treatment package of prompting and self-monitoring with accuracy feedback was then introduced as a multiple baseline design across behaviors. The treatment package was successfully faded to a more manageable self-monitoring intervention. Results showed visually significant improvements for all participants during observation sessions.     

Exercising Research Skills: An Information Literacy Boot Camp for Religious Studies Graduate Assistants

Instructional librarians at the University of Dayton collaborated with a religious studies graduate program to offer a three-day information literacy workshop, or “boot camp,” to the program's graduate research assistants. The graduate program had found that the assistants' research skills did not meet the expectations of their faculty mentors, and the workshop sought to address these deficiencies. With input from the religious studies faculty, the workshop focused on catalog and database searching, Boolean logic, primary sources, and the Chicago citation style. The librarians incorporated active learning exercises into each workshop session. Assessment of the workshop suggested that the assistants gained confidence in these information literacy skills. Feedback from faculty also indicated that the assistants' research skills had improved.     

Supportive When Not Supported? Male Responses to Negative Climates for Women

This study examined the relationship between perceived climate for women and job satisfaction in a male-dominated context, focusing on moderating variables which may augment or decrease this relationship for men. Specifically, it was predicted that job satisfaction will be lower for women and men in a male-dominated context when they perceive a negative climate for women, but that this relationship will be moderated for men based on the levels of support and exclusion they experience. Using a sample of 239 (75.7% male) professors, staff, graduate assistants, and undergraduate assistants in a male-dominated science department of a large Midwestern university, we found that perceptions of a negative climate for women were significantly related to lower reports of job satisfaction for both women and men. However, perceived organizational support moderated this relationship, such that the job satisfaction of men who felt highly supported by the organization were unaffected by the perceived climate for women. Discussion and implications of results are included.     

Managing Nonsexual Multiple Relationships in University Counseling Centers: Recommendations for Graduate Assistants and Practicum Students

Graduate students typically serve in a wide variety of positions throughout their course of study in an academic setting. Because of the large number of roles assumed, graduate students may encounter several ethical dilemmas unique to the academic setting, particularly dilemmas regarding nonsexual multiple relationships. Although the topic of multiple relationships and psychologists has been extensively discussed in the literature, fewer articles have focused on the potential for nonsexual multiple relationships between graduate assistants, practicum students, and undergraduate students. This article focuses on the unique ethical dilemmas and challenges experienced by graduate assistants completing their practica at University Counseling Centers and provides recommendations for evaluating and managing nonsexual multiple relationships with undergraduate students.     

智能平衡评估系统的概述和启示

智能平衡评估系统是美国目前使用最为广泛的教育评估系统之一。该系统的三大部分——总结性评估系统、中期评估系统和数字图书馆构成一个畅通的教学、反馈、助教与助学的教育循环系统。我国可借鉴智能平衡评估系统的思想和所采用的技术,将相对独立的教育督导、教育研究、考试命题、学校等事业机构在功能上联合起来形成完整的教育链,建构日常教学评估系统,从而提高国内教育的效益,减轻教与学的负担。     

EXPERIMENTER CALCULATION ERRORS: A POTENTIAL FACTOR AFFECTING INTERPRETATION OF RESULTS1

Following a study of socially withdrawn children, it was noted that checks of experimenter calculations indicated discrepancies. The present study investigated the magnitude and direction of experimenter errors in data computations. Two full-time research assistants, who served as experimenters, processed the behavioral observation data. These experimenters were referred to as the subjects in this study. Standard data values, against which the subjects' computations were compared, were established by two other research assistants and a computer staff. The results indicated that experimenters' original data values disagreed with the standard data values. The daily errors showed considerable variability for both experimenters. The specific factors accounting for this variability could not be identified, although frequency of experimenter responses required to obtain rate and duration data, time spent calculating, and complexity of task were suggested as possible contributing variables. While disagreements occurred across all experimental days, the magnitude of differences was generally small. An examination of direction of differences in both experimenters' data showed no systematic trends in favor of the experimental hypothesis. Rather, there appeared to be a trend in the other direction. This study suggests that the same research decisions would have been made during the original investigation using either set of data.     

The Importance of Cartesian Triangles: A New Look at Descartes's Ontological Argument

In this paper, I argue that commentators have missed a significant clue given by Descartes in coming to understand his 'ontological' proof for the existence of God. In both the analytic and synthetic presentations of the proof throughout his writings, Descartes notes that the proof works 'in the same way' as a particular geometrical proof. I explore the significance of such a parallel, and conclude that Descartes could not have intended readers to think that the argument consists of some kind of intuition. I argue that for Descartes the attribute of existence is a 'second-order' attribute that is demonstrated to belong to the idea of God on the basis of 'first-order' attributes. The proof, properly understood, is in fact a demonstration. Having brought to light the geometrical parallels between the ontological and geometrical proofs, we have new evidence to resolve the 'intuition versus demonstration' controversy that has characterized much of the discussion of Descartes's ontological argument.     

Gender roles,computer attitudes,and dyadic computer interaction performance in college students

Females tend to score lower than males on measures of computer aptitude and attitudes. This study examined the potential effects of several mediating factors, sex of experimenter, sex of experimental partner, sex typing (Bem Sex Role Inventory score), and level of past experience, on a computer interaction task involving a dyad. College students, drawn from a primarily white college population, after completing paper-and-pencil measures assessing computer experience, computer attitudes, and gender roles, participated in a computer task involving drawing up to ten prescribed geometric patterns on a computer screen. Research assistants recorded the number of correctly completed patterns and videotaped participant interaction through a one-way mirror. Males reported experiencing more computer involvement than females. For males, past computer experience and masculinity were correlated with more positive computer attitude scores. For females, only past computer experience related to more positive computer attitude scores. Analyses of the computer interaction variable indicated that participants asked male research assistants significantly more questions than female research assistants. Several interaction effects were also found.A previous version of this paper was presented at the annual meeting of the Southwestern Psychological Association, New Orleans, April 1991.     

Field Independence and Change Agent Correlation in Emerging Communities of Irian Jaya,Indonesia

Communities that are limited by oral traditions find theological truths communicated by missions a challenge to understand. Currently, linguists work in many of these minority language groups in order to create vital written languages and produce various literature titles that include the Scriptures. Development of a writing system requires indigenous language assistants who are adept in drawing meaning from unfamiliar cultural paradigms and accurately articulating them. Empirical studies in cognitive style conducted among the minority language groups of Irian Jaya, Indonesia show a correlation between field independence (a dimension of cognitive style) and the ability to grasp abstract linguistic concepts. The Brantley/Larsen Test was developed to identify language assistants, also known as change agents, in a culturally appropriate manner for Irian Jaya. Furthermore, this study suggests that the church would benefit from community lay counselors who manifest field independence, which indicates comprehension of abstract and complex linguistic notions found in Scriptures.Indonesia as Organizational Consultant;     

Command use and compliance in staff communication with elderly residents of long-term care facilities

Verbal communication between nursing assistants and individuals with dementia can be challenging, particularly during hands-on caregiving tasks. Although there are many aspects of verbal communication that can affect the quality of an interaction, one potentially important communication variable is the types of commands issued by nursing assistants when they need a resident to complete a task. The purpose of this study was to examine the kinds of commands used by nursing care staff when they interact with patients with dementia during activities of daily living. Commands were categorized according to their feasibility/specificity as well as form. An additional goal of this study was to measure compliance and noncompliance rates associated with the various categories of commands. Results indicate that alpha commands (clear, concise, and feasible) account for higher compliance and less noncompliance compared with beta commands (ambiguous, interrupted, and not feasible). In addition, commands that are stated directly, that clarify a previous command, and that are repeated exactly produce better compliance. It is concluded that training nursing staff to change the types of commands they provide during caregiving tasks may reduce distress experienced by both staff and residents.