The role of Minitab in teaching and learning statistics

This paper describes how the statistical package Minitab is used in teaching statistics in our undergraduate programmes in Mathematics and Statistics to enhance student learning. How the sophisticated recent versions of Minitab can be used to help students understand statistical concepts, develop their statistical thinking and gain valuable skills in performing statistical analysis are discussed.

El aprendizaje activo de la microbiología en el Grado de Podología incrementa el rendimiento académico

Se ha planteado como objetivo la mejora de la calidad de la docencia de la Microbiología mediante la actualización de la metodología docente , introduciendo como actividad docente el aprendizaje activo basado en preguntas (inquirybased learning:IBL) para conseguir mejorar las competencias que deberán adquirir los estudiantes como parte de su formación integral. En este estudio han participado 55 alumnos de Segundo Curso del Grado de Podología (Curso 2014-2015),y se ha calculado el porcentaje de alumnos que participaron en las 3 pruebas (3 IBL), en 2 (2 IBL), en 1 (1 IBL), y los que no participaron en ninguna y posteriormente se relacionó con las calificaciones obtenidas en la asignatura de Microbiología. Se incluyeron las preguntas IBL que se realizaron en clase en el campus virtual de la asignatura, pero sin incluir la corrección de las mismas. En los alumnos que realizaron alguna prueba IBL se obtuvieron calificaciones mejores en las preguntas diseñadas para analizar la síntesis de conocimientos y el análisis de datos que en aquellos que no habían participado en ninguna. Al finalizar la actividad se realizó un estudio transversal a través de un cuestionario autocumplimentado en el que se valoraba la opinión de los alumnos sobre el aprendizaje activo mediante IBL valorando positivamente esta actividad para medir el aprendizaje y mejorar la preparación del examen. Consideramos que el uso del campus virtual unido a la actualización en la metodología docente puede mejorar el rendimiento académico de los estudiantes de Microbiología.

Mathematical prerequisites for learning statistics in Psychology: Assessing core skills of numeracy and mathematical reasoning among undergraduates.

This study sought to extend earlier work by Mulhern and Wylie (2004) to investigate a UK-wide sample of psychology undergraduates. A total of 890 participants from eight universities across the UK were tested on six broadly defined components of mathematical thinking relevant to the teaching of statistics in psychology - calculation, algebraic reasoning, graphical interpretation, proportionality and ratio, probability and sampling, and estimation. Results were consistent with Mulhern and Wylie's (2004) previously reported findings. Overall, participants across institutions exhibited marked deficiencies in many aspects of mathematical thinking. Results also revealed significant gender differences on calculation, proportionality and ratio, and estimation. Level of qualification in mathematics was found to predict overall performance. Analysis of the nature and content of errors revealed consistent patterns of misconceptions in core mathematical knowledge , likely to hamper the learning of statistics.

Students perceptions about attention to diversity in Secondary Education Teachers Initial Training

This work aims to analyze the perceptions of students enrolled in the Master's Degree in Secondary Education Teaching, Training and Language Teaching at the University of Jaen, about the initial training received on attention to diversity. A descriptive methodology has been followed using an ad hoc questionnaire as data collection instrument. The results show favorable attitudes of future secondary teachers for diversity, having received an adequate training in curricular and organizational aspects, making it able to fully achieve inclusion of students with special educational needs in the classroom.

Practicum in Educational Psychology: comparative analysis between areas of knowledge

In this paper we present the process and results of an investigation in which, after reflecting on the concept of Practicum and, specifically, in the Practicum in Educational Psychology degree taught at the University of A Coruña, an assessment is made taking into account the opinion of the students who have studied this matter, as to the relevance that the planned objectives are given and subsequent achievement of these. The results differ considering the area that the teacher who has tutored belongs to. Methodologicaly, it is a descriptive research, survey type, which involved a significant sample of students in their final year of the degree in the year 2012/13 through a questionnaire which validity (Teaching and content) and reliability (internal consistency) have been properly set (judgment of experts and a pilot experience for the calculation of Cronbach's alpha). The results show that the Practicum program has a good development of most of the objectives, especially those related to skills, where the average of the highest rated goals exceed the rating of 4. This suggests clear lines for innovation and improvement in the areas of conceptual and attitudinal level.

Increasing Staff and Student Capacity to Use the Communication Facility in Queen's Online in Order to Support Learning and Teaching on a BSW Programme

In this article the authors explore and evaluate developments in the use of information and communications technologies (ICT) within social work education at Queen's University Belfast since the inception of the new degree in social work. They look at the staff development strategy utilised to increase teacher confidence and competence in use of the Queen's Online virtual learning environment tools as well as the student experience of participation in modules involving online discussions. The authors conclude that the project provided further opportunity to reflect on how ICT can be used as a platform to support a whole course in a systematic and coordinated way and to ensure all staff remained abreast of ongoing developments in the use of ICT to support learning which is a normative expectation of students entering universities. A very satisfying outcome for the leaders is our observation of the emergence of other 'experts' in different aspects of use of ICT amongst the staff team. This project also shows that taking a team as opposed to an individual approach can be particularly beneficial

Molecular detection of exercise-induced free radicals following ascorbate prophylaxis in type 1 diabetes mellitus: a randomised controlled trial

Aims/hypothesis: Patients with type 1 diabetes mellitus are more susceptible than healthy individuals to exercise-induced oxidative stress and vascular endothelial dysfunction, which has important implications for the progression of disease. Thus, in the present study, we designed a randomised double-blind, placebo-controlled trial to test the original hypothesis that oral prophylaxis with vitamin C attenuates rest and exercise-induced free radical-mediated lipid peroxidation in type 1 diabetes mellitus. Methods: All data were collected from hospitalised diabetic patients. The electron paramagnetic resonance spectroscopic detection of spin-trapped a-phenyl-tert-butylnitrone (PBN) adducts was combined with the use of supporting markers of lipid peroxidation and non-enzymatic antioxidants to assess exercise-induced oxidative stress in male patients with type 1 diabetes (HbA1c 7.9±1%, n=12) and healthy controls (HbA1c 4.6±0.5%, n=14). Following participant randomisation using numbers in a sealed envelope, venous blood samples were obtained at rest, after a maximal exercise challenge and before and 2 h after oral ingestion of 1 g ascorbate or placebo. Participants and lead investigators were blinded to the administration of either placebo or ascorbate treatments. Primary outcome was the difference in changes in free radicals following ascorbate ingestion. Resuts: Six diabetic patients and seven healthy control participants were randomised to each of the placebo and ascorbate groups. Diabetic patients (n=12) exhibited an elevated concentration of PBN adducts (p<0.05 vs healthy, n=14), which were confirmed as secondary, lipid-derived oxygen-centred alkoxyl (RO•) radicals (a nitrogen=1.37 mT and aßhydrogen=0.18 mT). Lipid hydroperoxides were also selectively elevated and associated with a depression of retinol and lycopene (p<0.05 vs healthy). Vitamin C supplementation increased plasma vitamin C concentration to a similar degree in both groups (p<0.05 vs pre-supplementation) and attenuated the exercise-induced oxidative stress response (p<0.05 vs healthy). There were no selective treatment differences between groups in the primary outcome variable. Conclusions/ interpretation: These findings are the first to suggest that oral vitamin C supplementation provides an effective prophylaxis against exercise-induced free radical-mediated lipid peroxidation in human diabetic blood.

Tegumental surface changes in juvenile Fasciola hepatica in response to treatment in vivo with triclabendazole.

Eight indoor-reared crossbred sheep with no pre-exposure to Fasciola hepatica were infected, by oral gavage, with 200 metacercarial cysts of the triclabendazole (TCBZ)-susceptible Cullompton isolate of F. hepatica. Anthelmintic dosing occurred at 4 weeks post-infection with 10 mg/kg triclabendazole. Two treated sheep were euthanized at 48 h, 72 h and 96 h post-treatment with triclabendazole. Two control sheep were euthanized alongside the 48 h triclabendazole-treated sheep. Juvenile flukes were recovered from each of the sheeps’ liver and processed for scanning electron microscopy (SEM).

Flukes were still active 48 h post-treatment and displayed limited morphological disruption. There was some blebbing and sloughing of the tegument around the oral sucker. In several of the specimens, an extra layer had been deposited on the fluke surface, giving it a flattened appearance. At 72 h post-treatment, only one fluke remained alive and the disruption varied in degree. In the majority of flukes, there was severe swelling of the tegument, accompanied by isolated areas of flattening along the lateral margins of the flukes and in the tail region. Limited areas of sloughing occurred in the tail region. In more seriously affected specimens, the syncytium had been stripped away to reveal the basal lamina and some deeper lesions were also observed. By 96 h post-treatment, all the flukes were dead and were grossly disrupted. They were totally devoid of tegument and deep lesions exposed the internal tissues of the fluke.

Seasonality of cutaneous melanoma diagnosis in Northern Ireland with a review

In light-skinned populations, the incidence of cutaneous melanoma is highest in summer and lowest in winter. We analyzed the seasonal variation of melanoma incidence in Northern Ireland from 1984 to 2006 according to the Breslow thickness and body site. We also reviewed earlier studies on seasonal variation in the diagnosis of melanoma. Two-thirds of melanomas in women (2028 cases) and one-third of melanomas in men (1230 cases) were diagnosed on the limbs. In both sexes, pronounced seasonal variations were observed in the incidence of invasive melanomas less than 2mm arising on the limbs. These seasonal variations were mainly noticeable in women of all ages, to a lesser degree in men aged below 50 years, and not in men aged above 50 years. No seasonal variation was observed for melanomas less than 2mm arising on the trunk or the head and neck nor for melanomas 2mm thickness or more, irrespective of the age, sex, and body site. Seasonal variations of thin melanomas were less noticeable in men because of the axial predominance of melanoma occurrence in this sex. The review of 15 earlier studies found by a systematic search of Medline supported the likelihood of our findings. This analysis suggests that ultraviolet radiation has a short-term promotional effect on melanocytes or nevocytes of the limbs, and is not associated with progression from thin to thick melanoma. Melanoma Res 21:144-151 (C) 2011 Wolters Kluwer Health vertical bar Lippincott Williams & Wilkins.

Response characteristics of optical sensors for oxygen: models based on a distribution in tau(o) or kappa(q)

The features of two popular models used to describe the observed response characteristics of typical oxygen optical sensors based on luminescence quenching are examined critically. The models are the 'two-site' and 'Gaussian distribution in natural lifetime, tau(o),' models. These models are used to characterise the response features of typical optical oxygen sensors; features which include: downward curving Stern-Volmer plots and increasingly non-first order luminescence decay kinetics with increasing partial pressures of oxygen, pO(2). Neither model appears able to unite these latter features, let alone the observed disparate array of response features exhibited by the myriad optical oxygen sensors reported in the literature, and still maintain any level of physical plausibility. A model based on a Gaussian distribution in quenching rate constant, k(q), is developed and, although flawed by a limited breadth in distribution, rho, does produce Stern-Volmer plots which would cover the range in curvature seen with real optical oxygen sensors. A new 'log-Gaussian distribution in tau(o) or k(q)' model is introduced which has the advantage over a Gaussian distribution model of placing no limitation on the value of rho. Work on a 'log-Gaussian distribution in tau(o)' model reveals that the Stern-Volmer quenching plots would show little degree in curvature, even at large rho values and the luminescence decays would become increasingly first order with increasing pO(2). In fact, with real optical oxygen sensors, the opposite is observed and thus the model appears of little value. In contrast, a 'log-Gaussian distribution in k(o)' model does produce the trends observed with real optical oxygen sensors; although it is technically restricted in use to those in which the kinetics of luminescence decay are good first order in the absence of oxygen. The latter model gives a good fit to the major response features of sensors which show the latter feature, most notably the [Ru(dpp)(3)(2+)(Ph4B-)(2)] in cellulose optical oxygen sensors. The scope of a log-Gaussian model for further expansion and, therefore, application to optical oxygen sensors, by combining both a log-Gaussian distribution in k(o) with one in tau(o) is briefly discussed.

Quotients, exactness, and nuclearity in the operator system category

We continue our study of tensor products in the operator system category. We define operator system quotients and exactness in this setting and refine the notion of nuclearity by studying operator systems that preserve various pairs of tensor products. One of our main goals is to relate these refinements of nuclearity to the Kirchberg conjecture. In particular, we prove that the Kirchberg conjecture is equivalent to the statement that every operator system that is (min,er)-nuclear is also (el,c)-nuclear. We show that operator system quotients are not always equal to the corresponding operator space quotients and then study exactness of various operator system tensor products for the operator system quotient. We prove that an operator system is exact for the min tensor product if and only if it is (min,el)-nuclear. We give many characterizations of operator systems that are (min,er)-nuclear, (el,c)-nuclear, (min,el)-nuclear and (el,max)-nuclear. These characterizations involve operator system analogues of various properties from the theory of C*-algebras and operator spaces, including the WEP and LLP.

Staffing, status and subject knowledge: what does the construction of citizenship as a new curriculum subject in England tell us about the nature of school subjects?

Almost a decade ago, the new subject of citizenship was created in the English National Curriculum and several universities were funded to train teachers in this new subject. This presented a rare challenge, namely how to train people to teach a subject that did not exist in schools, and in which they were unlikely to have a specialist degree. In this article we have taken the opportunity afforded by the
tenth birthday of the report in which Crick recommended this curriculum reform to reflect on that experience from the perspective of teacher educators. Through reflecting on the case study of citizenship education in England we highlight several themes that are of more general interest to teacher educators. The key issues that have emerged in this case study relate to the general problems of translating central policy into classroom practice; the nature and aims of subjects in the curriculum; and the identities of teachers in secondary schools. The article illustrates how teacher educators responded to the formidable challenge of creating (or at least contributing to) a new subject and a subject community.

Fundus autofluorescence in patients with retinal pigment epithelial (RPE) tears: an in-vivo evaluation of RPE resurfacing

Aim: Investigate RPE resurfacing by changes in fundus autofluorescence (AF) in patients with retinal pigment epithelial (RPE) tears secondary to age-related macular degeneration (AMD).

Methods: A retrospective case series of patients presenting with RPE tears from 1 March 2008 to 1 April 2011. The pattern and area of AF signal distribution in RPE tears were evaluated. The change in the size of the area of debrided RPE over the follow-up period was used as the main outcome measure. A reduction in this area was termed “RPE resurfacing”, and an enlargement termed “progression of RPE cell loss”.

Results; Thirteen patients (14 eyes) with RPE tears (mean age 82 years) were included in this study. The mean baseline area of reduced AF signal was 4.1 mm2 (range 0.33–14.9, median 0.29). “Resurfacing” of the RPE occurred in ten eyes and “progression of RPE cell loss” in four eyes after a median follow-up of 11.5 months (range, 1–39). The mean area of healing was 2.0 mm2, and progression was 1.78 mm2.

Conclusion: A consistent AF pattern was observed in patients with RPE tears. RPE resurfacing over the area of the RPE tear occurred, to a varying degree, in the majority of the cases.

The solvable Lie group N_{6, 28}: an example of an almost C_0(\mathcal{K})-C*-algebra

Motivated by the description of the C*-algebra of the affine automorphism group N6,28 of the Siegel upper half-plane of degree 2 as an algebra of operator fields defined over the unitary dual View the MathML source of the group, we introduce a family of C*-algebras, which we call almost C0(K), and we show that the C*-algebra of the group N6,28 belongs to this class.

Mathematics and reading difficulty subtypes: Minor phonological influences on mathematics for 5-7 year olds

Linguistic influences in mathematics have previously been explored throughsubtyping methodology and by taking advantage of the componential nature ofmathematics and variations in language requirements that exist across tasks. Thepresent longitudinal investigation aimed to examine the language requirements of mathematical tasks in young children aged 5-7 years. Initially, 256 children were screened for mathematics and reading difficulties using standardised measures. Those scoring at or below the 35th percentile on either dimension were classified as having difficulty. From this screening, 115 children were allocated to each of the MD (n=26), MDRD (n=32), reading difficulty (RD, n=22) and typically achieving (TA, n=35) subtypes. These children were tested at four time points, separated by six monthly intervals, on a battery of seven mathematical tasks. Growth curve analysis indicated that, in contrast to previous research on older children, young children with MD and MDRD had very similar patterns of development on all mathematical tasks. Overall, the subtype comparisons suggested that language played only a minor mediating role in most tasks, and this was secondary in importance to non-verbal skills. Correlational evidence suggested that children from the different subtypescould have been using different mixes of verbal and non-verbal strategies to solve the mathematical problems.