大学数学基础课教学中融入数学建模思想的实践

数学建模不仅限于解决实际问题,也可以是数学发展过程中提出的理论问题。基于近年来在大学数学基础课教学中融入数学建模思想的教学实践,论述了其主要思路与做法。介绍了将数学建模思想融入数学基础课教学的两个教学案例,即微积分方法的本质和从方程组出发引入线性相关与线性无关概念。     

Family violence in gambling help-seeking populations

Elevated rates of family violence among treatment-seeking problem gamblers compared to general population estimates have been reported in Spain, Canada and Australia. This study examined the occurrence of family violence among 454 problem gambling help-seeking clients (370 gamblers, 84 affected others) recruited through 3 national gambling treatment services in New Zealand. Measures used were the Problem Gambling Severity Index, and a modified version of the HITS Scale which assessed physical, emotional, verbal and sexual abuse. Past-year family violence among gamblers in this sample was 46.8% for victimization, 41.2% for perpetration and 55.0% for any form of family violence. Among affected others the occurrence was 65.5% for victimization, 57.1% for perpetration and 71.4% for any form of violence. The most common type of violence was verbal intimate partner violence. Affected others and women gamblers reported higher rates of violence victimization and perpetration. These findings underscore the importance of screening gambling help-seeking clients for family violence, and the development of prevention and treatment programmes to address violence in this population, with particular attention to affected others and women gamblers. Future research should assess coercive control and the gendered nature of family violence among problem gambling help-seekers.     

Relearning to Live Life Without Substances: A Grounded Theory of the Impact of Group Physical Exercise on Sobriety

Research has found significant benefits in using exercise as an adjunct treatment for substance use. This study used a qualitative grounded theory approach to explore the role of group exercise on maintaining sobriety. Sixteen persons (13 White men and 3 White women, age M = 31.81, SD = 8.23), recruited from a substance use recovery group that meets at a gym in an urban area in the Southeast part of the United States, were individually interviewed. Data were analyzed using Charmaz’s (2006) constructivist grounded theory strategies. Central themes revealed a parallel process between the steps taken to seek sobriety and those taken to maintain sobriety. The driving forces of sobriety success in both was 12 steps and group exercise programming that included elements of mentorship, structure, accountability, and fellowship or community. This study supported the use of physical group exercise as an adjunct treatment option for substance use treatment.     

Confidence Corridors for Multivariate Generalized Quantile Regression

We focus on the construction of confidence corridors for multivariate nonparametric generalized quantile regression functions. This construction is based on asymptotic results for the maximal deviation between a suitable nonparametric estimator and the true function of interest, which follow after a series of approximation steps including a Bahadur representation, a new strong approximation theorem, and exponential tail inequalities for Gaussian random fields. As a byproduct we also obtain multivariate confidence corridors for the regression function in the classical mean regression. To deal with the problem of slowly decreasing error in coverage probability of the asymptotic confidence corridors, which results in meager coverage for small sample sizes, a simple bootstrap procedure is designed based on the leading term of the Bahadur representation. The finite-sample properties of both procedures are investigated by means of a simulation study and it is demonstrated that the bootstrap procedure considerably outperforms the asymptotic bands in terms of coverage accuracy. Finally, the bootstrap confidence corridors are used to study the efficacy of the National Supported Work Demonstration, which is a randomized employment enhancement program launched in the 1970s. This article has supplementary materials online.     

A Multi-Dimensional Conceptual Framework for Trauma-Informed Practice in Addictions Programming

Previous research has conceptualized trauma-informed practice in relation to five key values: safety, trust, choice, collaboration, and empowerment. This research identifies key organizational, programmatic, and interpersonal characteristics in community-based residential addictions treatment programming that exemplify each of these principles. Utilizing qualitative research methods, involving open-ended, one to one interviews with clients in residential substance misuse treatment (n = 41), respondents identified the importance of experiencing “safety” in relation to physical safety, confidentiality, reassurance, rule enforcement, and peer relationships. “Trust” was manifested in sharing, staff availability, nonjudgmental interactions, positive relationship dynamics, and caring. “Choice” was articulated in relation to individual needs, participation, opportunities, and focus of efforts. “Collaboration” was characterized in relation to opportunities for feedback, planning, goal setting, specificity, and support. Finally, “empowerment” was characterized by comfort in sharing, trigger management, trauma awareness, and understanding. The findings provide a conceptual framework for a trauma-informed social services organizational practice environment. Findings can inform adaptations to social service delivery processes and programs to become aligned with the values of trauma-informed practice. Future research can build on this framework by testing the study findings with quantitative methods along with replicating current methods in other social service delivery sectors.     

How can context and discourse affect teachers’ and mental health professionals’ interactions with adults with mental illness?

Patients with severe mental illness may have needs different from those of patients with more limited illnesses and might benefit from other types of intervention than traditional treatment. We interviewed health care professionals from two open, short-term psychiatric wards and teachers from two schools for adults with psychiatric diagnoses. The focus was to explore how differences in contextual factors such as time, tasks, and organizational demands might affect the actions and attitudes of health care professionals and teachers, as well as the potential consequences for patients and students. Data were collected through qualitative interviews. Participants included 14 health care professionals and 14 teachers. The informants worked with patients and students with similar diagnoses and illness durations. All interviews were conducted during the informants’ work time. Findings and interpretations showed that both teachers and health care professionals were engaged in their work and in the wellbeing of students and patients. However, they described marked differences in practice, including the amount of time spent with students/patients, the organization of their work, main tasks, amount of control over their tasks, and social structure. These differences seemed to affect relationships with students/patients, attitudes toward students/patients, norms and values, and opportunities for patient empowerment. Our findings suggest that while existing psychiatric health care might be appropriate for limited short-term problems such as single-episode depression, a model with a supportive environment, based on stable relations and possibility for learning, may improve personal development and mental health for persons with severe mental illness and disturbances in self-experience.     

Examining implementation and preliminary performance indicators of veterans treatment courts: The Kentucky experience

Veterans’ Treatment Courts (VTCs) are posited as a solution to offer rehabilitation for veterans involved in the criminal justice system. Despite the pervasive implementation of VTCs, there is little research focused specifically on VTC implementation and outcomes, which are based on other problem-solving court models such as drug court. The current study presents qualitative process evaluation data from key stakeholders (n = 21) and veteran participants (n = 4) to show accomplishments, challenges, and lessons learned during first-year implementation at two VTC sites. Quantitative performance data is also presented on veteran participants (n = 19) served during the first year to show: types of services, monitoring, judicial interaction, sanctions/therapeutic responses, and rewards, as well as preliminary data on recidivism. Qualitative data, from both key stakeholders and veteran participants, suggests that offering rehabilitation via various program components, services/referrals, and accountability are critical to the success of the VTC. Data also provides valuable lessons learned for VTC implementation including communication, collaboration, information/protocols, and resources. Performance data shows that a variety of services are utilized and that frequent judicial interaction, drug testing, and sanctions are cornerstones of the VTC. Implications and future directions for research are discussed.     

Preliminary evaluation of contingent meals and telephone use to improve evidence-supported family therapy session attendance in mothers referred by Child Protective Services for substance abuse

Persons referred by Child Protective Services (CPS) for substance abuse evidence high rates of nonattendance to therapy sessions, taxing systems of care and exacerbating outcomes. This study examined the influence of two telephone-based incentive programs on therapy session attendance in mothers who were referred by CPS for substance abuse. After baseline therapy session attendance was established in an evidence-based clinic that incorporated a telephone engagement intervention (Phase I), participants were provided free cellular telephones with limited minutes and permitted to order free meals delivered by the therapist during upcoming sessions (Phase II). The third phase was similar to Phase II, but participants were provided unlimited minutes. Results indicated that participants’ attendance was significantly improved when meals and cellular telephone minutes were contingent on attendance. Although the percentage of sessions attended by participants during Phase III was higher than Phase II, unlimited minutes and meals did not significantly enhance attendance relative to limited minutes and meals. Session attendance for significant others of these participants was significantly higher during Phase III as compared with Phase I. Session attendance of significant others was statistically similar between Phase I and II and between Phase II and Phase III. Study implications and recommendations for future research and practice are discussed in light of the findings.     

美丽乡村建设中村民获得感调查报告

青浦美丽乡村建设除了项目建设的一般意义之外,还具有两个特别的意义:一是生态保护的意义,它不是一个单纯的施惠过程,而是一次共享发展的机会;二是社会综合治理意义,它是一次治理社会管理顽疾的契机,可以唤起村民的公共意识,共同克服生活陋习,集体守望美丽家园.这对整体提升区域文明程度和市民幸福感,进而培育向上向善的社会力量具有重要作用.     

Using agency data for evidence-based programming: a university-agency collaboration

Agencies providing residential treatment are encouraged, or even mandated, to collect outcomes data and to implement evidence based practices, yet little guidance has been provided on how to do so using agency administrative data that are collected on an ongoing basis. We examined data on Child and Adolescent Functional Assessment Scale (CAFAS) scores for 1608 admissions to a residential treatment center from 2002 through 2008. CAFAS scores were measured every 90 days, providing multiple CAFAS scores for each individual. Results demonstrated that on average residents improved in functioning over time. Sensitive to the evolving needs of residents who had been entering the program, the treatment center made significant program changes in 2006 to attempt to better serve residents through a broad array of specialized programming. Compared to the overall results, the analysis suggested that residents who entered the program since October 2006 appeared to have made larger improvements in their CAFAS scores. Results were derived by employing multilevel models appropriate for estimating growth trajectories with repeated measures data. Conversations with agency staff suggested that using administrative data, and advanced statistical models, were extremely helpful for organizational decision making and evidence-based programming.