The Art of Teaching Mathematics

On June 10–12, 2007, Harvey Mudd College hosted A Conference on the Art of Teaching Mathematics. The conference brought together approximately thirty mathematicians from the Claremont Colleges, Denison, DePauw, Furman, Middlebury, Penn State, Swarthmore, and Vassar to explore the topic of teaching as an art. Assuming there is an element of artistic creativity in teaching mathematics, in what ways does it surface and what should we be doing to develop this creativity

Will "Combined Prevention" Eliminate Racial/Ethnic Disparities in HIV Infection among Persons Who Inject Drugs in New York City?

It has not been determined whether implementation of combined prevention programming for persons who inject drugs reduce racial/ethnic disparities in HIV infection. We examine racial/ethnic disparities in New York City among persons who inject drugs after implementation of the New York City Condom Social Marketing Program in 2007. Quantitative interviews and HIV testing were conducted among persons who inject drugs entering Mount Sinai Beth Israel drug treatment (2007–2014). 703 persons who inject drugs who began injecting after implementation of large-scale syringe exchange were included in the analyses. Factors independently associated with being HIV seropositive were identified and a published model was used to estimate HIV infections due to sexual transmission. Overall HIV prevalence was 4%; Whites 1%, African-Americans 17%, and Hispanics 4%. Adjusted odds ratios were 21.0 (95% CI 5.7, 77.5) for African-Americans to Whites and 4.5 (95% CI 1.3, 16.3) for Hispanics to Whites. There was an overall significant trend towards reduced HIV prevalence over time (adjusted odd ratio = 0.7 per year, 95% confidence interval (0.6–0.8). An estimated 75% or more of the HIV infections were due to sexual transmission. Racial/ethnic disparities among persons who inject drugs were not significantly different from previous disparities. Reducing these persistent disparities may require new interventions (treatment as prevention, pre-exposure prophylaxis) for all racial/ethnic groups

Development of a framework for the co-production and prototyping of public health interventions

BACKGROUND: Existing guidance for developing public health interventions does not provide information for researchers about how to work with intervention providers to co-produce and prototype the content and delivery of new interventions prior to evaluation. The ASSIST + Frank study aimed to adapt an existing effective peer-led smoking prevention intervention (ASSIST), integrating new content from the UK drug education resource Talk to Frank ( www.talktofrank.com ) to co-produce two new school-based peer-led drug prevention interventions. A three-stage framework was tested to adapt and develop intervention content and delivery methods in collaboration with key stakeholders to facilitate implementation. METHODS: The three stages of the framework were: 1) Evidence review and stakeholder consultation; 2) Co-production; 3) Prototyping. During stage 1, six focus groups, 12 consultations, five interviews, and nine observations of intervention delivery were conducted with key stakeholders (e.g. Public Health Wales [PHW] ASSIST delivery team, teachers, school students, health professionals). During stage 2, an intervention development group consisting of members of the research team and the PHW ASSIST delivery team was established to adapt existing, and co-produce new, intervention activities. In stage 3, intervention training and content were iteratively prototyped using process data on fidelity and acceptability to key stakeholders. Stages 2 and 3 took the form of an action-research process involving a series of face-to-face meetings, email exchanges, observations, and training sessions. RESULTS: Utilising the three-stage framework, we co-produced and tested intervention content and delivery methods for the two interventions over a period of 18 months involving external partners. New and adapted intervention activities, as well as refinements in content, the format of delivery, timing and sequencing of activities, and training manuals resulted from this process. The involvement of intervention delivery staff, participants and teachers shaped the content and format of the interventions, as well as supporting rapid prototyping in context at the final stage. CONCLUSIONS: This three-stage framework extends current guidance on intervention development by providing step-by-step instructions for co-producing and prototyping an intervention's content and delivery processes prior to piloting and formal evaluation. This framework enhances existing guidance and could be transferred to co-produce and prototype other public health interventions. TRIAL REGISTRATION: ISRCTN14415936 , registered retrospectively on 05 November 2014

A computerized intervention to promote colorectal cancer screening for underserved populations: Theoretical background and algorithm development

Objective The aim of this exploratory study was to assess factors deemed by patients as “important” as they planned and considered undergoing colorectal cancer (CRC) screening, and to use this data to design a computer-delivered intervention to promote screening. Methods Fifty participants 50 years or older, not up-to-date with current recommended CRC screening guidelines, were recruited from a primary care clinic. A semi-structured interview focused on aspects of preparing for colorectal cancer screening was administered; after transcription, researchers used triangulation and consensus to identify relevant themes and concepts. Results Four main themes were identified that dealt with issues important for both FOBT and colonoscopy planning: personal concerns, reminders, communication with healthcare providers and obtaining test results. FOBT specific themes included: sample collection and return. For colonoscopy screening, themes included: scheduling, intervention questions, colonoscopy preparation, and transportation. These can be classified as barrier, process and accessory themes. The developed computer-administered implementation intentions algorithm addressed all the identified concerns in a planned and sequential manner, in order to facilitate planning for CRC screening. Conclusions The results of this study suggest that appropriate reminders, explanations of procedures, and patient understanding of temporary life disruptions, help patients develop and accept a detailed screening plan

Ventricular-vascular coupling is predictive of adverse clinical outcome in paediatric pulmonary arterial hypertension

AIMS: Ventricular-vascular coupling, the ratio between the right ventricle's contractile state (Ees) and its afterload (Ea), may be a useful metric in the management of paediatric pulmonary arterial hypertension (PAH). In this study we assess the prognostic capacity of the ventricular-vascular coupling ratio (Ees/Ea) derived using right ventricular (RV) pressure alone in children with PAH. METHODS: One hundred and thirty paediatric patients who were diagnosed with PAH via right heart catheterisation were retrospectively reviewed over a 10-year period. Maximum RV isovolumic pressure and end-systolic pressure were estimated using two single-beat methods from Takeuchi et al (Ees/Ea_(Takeuchi)) and from Kind et al (Ees/Ea_(Kind)) and used with an estimate of end-systolic pressure to compute ventricular-vascular coupling from pressure alone. Patients were identified as either idiopathic/hereditary PAH or associated PAH (IPAH/HPAH and APAH, respectively). Haemodynamic data, clinical functional class and clinical worsening outcomes-separated into soft (mild) and hard (severe) event categories-were assessed. Adverse soft events included functional class worsening, syncopal event, hospitalisation due to a proportional hazard-related event and haemoptysis. Hard events included death, transplantation, initiation of prostanoid therapy and hospitalisation for atrial septostomy and Pott's shunt. Cox proportional hazard modelling was used to assess whether Ees/Ea was predictive of time-to-event. RESULTS: In patients with IPAH/HPAH, Ees/Ea_(Kind) and Ees/Ea_(Takeuchi) were both independently associated with time to hard event (p=0.003 and p=0.001, respectively) and when adjusted for indexed pulmonary vascular resistance (p=0.032 and p=0.013, respectively). Neither Ees/Ea_(Kind) nor Ees/Ea_(Takeuchi) were associated with time to soft event. In patients with APAH, neither Ees/Ea_(Kind) nor Ees/Ea_(Takeuchi) were associated with time to hard event or soft event. CONCLUSIONS: Ees/Ea derived from pressure alone is a strong independent predictor of adverse outcome and could be a potential powerful prognostic tool for paediatric PAH

Synergy between Seeking Safety and Twelve-Step Affiliation on substance use outcomes for women

The Recovery Management paradigm provides a conceptual framework for the examination of joint impact of a focal treatment and post-treatment service utilization on substance abuse treatment outcomes. We test this framework by examining the interactive effects of a treatment for comorbid PTSD and substance use, Seeking Safety, and post-treatment Twelve-Step Affiliation (TSA) on alcohol and cocaine use

The path to science student leadership at UQ

PROBLEM As students prepare for jobs and roles in an evolving workplace, it is important that they develop transferable skills before they leave university. Students need the capacity to reflect on their non-disciplinary skills and attributes, to stretch their abilities, and to learn how to lead themselves and others. Finding space in a crowded curriculum for such activity can be difficult, and in a large, multi-faceted Faculty it is almost impossible to implement a one-size-fits-all solution. The Faculty of Science at the University of Queensland directly enrolls around 9000 students per year. Our goal is to offer all of these students training in leadership and the opportunity to choose leadership opportunities that suit their interests and aptitudes. The approach we have developed is applicable to a variety of educational contexts. PLAN and ACTION We have developed a sustainable co-curricular leadership program for all of the students in the Faculty of Science. Our no- to low-barrier approach means we can offer this experience to a broad demographic and we see significant numbers of students engage. The first part of the program, LaMPS (Leadership and Mentoring Program in Science) is a no-barrier gateway to the program. Through completing the online LaMPS modules and attending a two-day workshop series, students develop an understanding that leadership is situational (Hersey and Blanchard, 1988) and that good leadership depends on emotional intelligence (Goleman, 2000). LaMPS is a stand-alone opportunity, but students can choose to progress further as leaders by joining the Science Leaders Academy. The Academy, which is the second part of the program, is an umbrella organisation that enables student access to developmental, leadership, and service opportunities. Although LaMPS and the Science Leaders Academy were only introduced in 2018, already almost 500 students have participated. REFLECTION In this presentation we will explain how LaMPS and the Science Leaders Academy work, and describe the impacts we have seen from the programs to date. The projects that students have created as part of the leadership program will be showcased. References • Goleman, D (2000) Leadership that gets results. Harvard Business Review, March-April 2000, 1–15. Online at https://bit.ly/2NbSIuM • Hersey, P. & Blanchard, K.H. (1988). Management of organizational behavior (5th Ed.), pp. 169-201. Englewood Cliffs, NJ: Prentice Hall

The application of digital health to the assessment and treatment of substance use disorders: The past, current, and future role of the National Drug Abuse Treatment Clinical Trials Network

The application of digital technologies to better assess, understand, and treat substance use disorders (SUDs) is a particularly promising and vibrant area of scientific research. The National Drug Abuse Treatment Clinical Trials Network (CTN), launched in 1999 by the U.S. National Institute on Drug Abuse, has supported a growing line of research that leverages digital technologies to glean new insights into SUDs and provide science-based therapeutic tools to a diverse array of persons with SUDs. This manuscript provides an overview of the breadth and impact of research conducted in the realm of digital health within the CTN. This work has included the CTN\u27s efforts to systematically embed digital screeners for SUDs into general medical settings to impact care models across the nation. This work has also included a pivotal multi-site clinical trial conducted on the CTN platform, whose data led to the very first “prescription digital therapeutic” authorized by the U.S. Food and Drug Administration (FDA) for the treatment of SUDs. Further CTN research includes the study of telehealth to increase capacity for science-based SUD treatment in rural and under-resourced communities. In addition, the CTN has supported an assessment of the feasibility of detecting cocaine-taking behavior via smartwatch sensing. And, the CTN has supported the conduct of clinical trials entirely online (including the recruitment of national and hard-to-reach/under-served participant samples online, with remote intervention delivery and data collection). Further, the CTN is supporting innovative work focused on the use of digital health technologies and data analytics to identify digital biomarkers and understand the clinical trajectories of individuals receiving medications for opioid use disorder (OUD). This manuscript concludes by outlining the many potential future opportunities to leverage the unique national CTN research network to scale-up the science on digital health to examine optimal strategies to increase the reach of science-based SUD service delivery models both within and outside of healthcare