Nonstandard analysis based calculus

In the first part of the project the elementary development of an extended number system called Hyperreals is discussed. The second half of this project develops the basics of Nonstandard Analysis, including the theory of ultrafilters, and the formal construction of the Hyperreals

Methods of household consumption measurement through surveys : experimental results from Tanzania

Consumption expenditure has long been the preferred measure of household living standards. However, accurate measurement is a challenge and household expenditure surveys vary widely across many dimensions, including the level of reporting, the length of the reference period, and the degree of commodity detail. These variations occur both across countries and also over time within countries. There is little current understanding of the implications of such changes for spatially and temporally consistent measurement of household consumption and poverty. A field experiment in Tanzania tests eight alternative methods to measure household consumption on a sample of 4,000 households. There are significant differences between consumption reported by the benchmark personal diary and other diary and recall formats. Under-reporting is particularly relevant in illiterate households and for urban respondents completing household diaries; recall modules measure lower consumption than a personal diary, with larger gaps among poorer households and households with more adult members. Variations in reporting accuracy by household characteristics are also discussed and differences in measured poverty as a result of survey design are explored. The study concludes with recommendations for methods of survey based consumption measurement in low-income countries.Consumption,Regional Economic Development,Rural Poverty Reduction,Poverty Lines

Great saphenous vein diameter does not correlate with worsening quality of life scores in patients with great saphenous vein incompetence

ObjectivePrevious studies have correlated increasing great saphenous vein (GSV) diameter with increasing CEAP clinical classification. Some insurance carriers are currently using specific GSV diameters to determine coverage for treatment of axial venous insufficiency. The aim of this study was to investigate the correlation of patient quality of life (QOL) measures with GSV diameters in varicose vein patients with GSV reflux.MethodsData were collected from the records of 91 patients prospectively enrolled in two varicose vein trials. The patients had symptomatic varicose veins with saphenofemoral junction and proximal GSV reflux. Maximum GSV diameter was measured on duplex ultrasound imaging, with the patient standing, within 5 cm of the saphenofemoral junction. Chronic Venous Insufficiency Questionnaire 2 (CIVIQ-2; Servier, Neuilly-sur-Seine, France), Venous Insufficiency Epidemiological and Economic Study (VEINES) Symptom (Sym) and QOL assessments, and the Venous Clinical Severity Score (VCSS) assessment were completed before treatment of GSV insufficiency. Demographic information, patient weight, height, and body mass index were collected. Correlations between pairs of data were done using Pearson product-moment and Spearman correlation coefficients.ResultsThe 91 study patients (19 men, 72 women) were a mean age of 45 years (range, 18-65 years). The mean GSV diameter was 6.7 mm (range, 2.2-14.1 mm). The mean VCSS score was 7.8 (range, 3-12). There was a weak correlation between increasing GSV diameter and VCSS (r = 0.23; P = .03) and no correlation between GSV diameter and the CIVIQ-2 score (r = 0.01), VEINES-QOL (r = −0.07), and VEINES-Sym (r = −0.1).ConclusionsGSV diameter is a poor surrogate marker for assessing the effect of varicose veins on a patient's QOL; thus, using GSV diameter as a sole criterion for determining medical necessity for the treatment of GSV reflux is inappropriate. Further correlations between QOL measures and duplex-derived objective findings are warranted

Using Inquiry in Teacher Professional Learning to Build Efficacy for Writing Instruction

Whitacre (2019) and Curtis (2017) found that participants’ efficacy impacted their writing instruction and ability to engage students. We share our experiences with a professional development program aimed to improve teacher efficacy and literacy of elementary teachers. In this professional learning network, the Study of Early Literacy (SOEL), a higher percentage of teachers reported to a Hanover Research survey that they felt less confident in teaching writing than other areas of literacy. To address this need, one of the authors developed a subgroup to specifically address the teaching of writing with an inquiry-based action research component. Most of the teachers in this group reported greater teacher efficacy, student motivation, and student achievement after this year of intentional teacher research

Relationships among food label use, motivation, and dietary quality.

Nutrition information on packaged foods supplies information that aids consumers in meeting the recommendations put forth in the US Dietary Guidelines for Americans such as reducing intake of solid fats and added sugars. It is important to understand how food label use is related to dietary intake. However, prior work is based only on self-reported use of food labels, making it unclear if subjective assessments are biased toward motivational influences. We assessed food label use using both self-reported and objective measures, the stage of change, and dietary quality in a sample of 392 stratified by income. Self-reported food label use was assessed using a questionnaire. Objective use was assessed using a mock shopping task in which participants viewed food labels and decided which foods to purchase. Eye movements were monitored to assess attention to nutrition information on the food labels. Individuals paid attention to nutrition information when selecting foods to buy. Self-reported and objective measures of label use showed some overlap with each other (r=0.29, p<0.001), and both predicted dietary quality (p<0.001 for both). The stage of change diminished the predictive power of subjective (p<0.09), but not objective (p<0.01), food label use. These data show both self-reported and objective measures of food label use are positively associated with dietary quality. However, self-reported measures appear to capture a greater motivational component of food label use than do more objective measures

Misunderstanding of Front-Of-Package Nutrition Information on US Food Products.

Front-of-package nutrition symbols (FOPs) are presumably readily noticeable and require minimal prior nutrition knowledge to use. Although there is evidence to support this notion, few studies have focused on Facts Up Front type symbols which are used in the US. Participants with varying levels of prior knowledge were asked to view two products and decide which was more healthful. FOPs on packages were manipulated so that one product was more healthful, allowing us to assess accuracy. Attention to nutrition information was assessed via eye tracking to determine what if any FOP information was used to make their decisions. Results showed that accuracy was below chance on half of the comparisons despite consulting FOPs. Negative correlations between attention to calories, fat, and sodium and accuracy indicated that consumers over-relied on these nutrients. Although relatively little attention was allocated to fiber and sugar, associations between attention and accuracy were positive. Attention to vitamin D showed no association to accuracy, indicating confusion surrounding what constitutes a meaningful change across products. Greater nutrition knowledge was associated with greater accuracy, even when less attention was paid. Individuals, particularly those with less knowledge, are misled by calorie, sodium, and fat information on FOPs

Preventing work-related stress among staff working in children's cancer Principal Treatment Centres in the UK: a brief survey of staff support systems and practices

Growing evidence of the association between health professionals' well-being and patient and organisational outcomes points to the need for effective staff support. This paper reports a brief survey of the UK's children's cancer Principal Treatment Centres (PTCs) regarding staff support systems and practices. A short on-line questionnaire, administered in 2012–2013, collected information about the availability of staff support interventions which seek to prevent work-related stress among different members of the multi-disciplinary team (MDT). It was completed by a member of staff with, where required, assistance from colleagues. All PTCs (n = 19) participated. Debriefs following a patient death was the most frequently reported staff support practice. Support groups were infrequently mentioned. There was wide variability between PTCs, and between professional groups, regarding the number and type of interventions available. Doctors appear to be least likely to have access to support. A few Centres routinely addressed work-related stress in wider staff management strategies. Two Centres had developed a bespoke intervention. Very few Centres were reported to actively raise awareness of support available from their hospital's Occupational Health department. A minority of PTCs had expert input regarding staff support from clinical psychology/liaison psychiatry