Metaphors and Mathematical Identity: Math is Like a Tornado in Kansas

Mathematical identity is an individual’s concept of who he or she is mathematically. In this paper, metaphors for mathematics from elementary education majors are compared to metaphors created by secondary mathematics teaching majors. The analysis demonstrates a basic difference in the mathematical identity of the two groups, with the latter group having more holistic conceptions of mathematics than the first group. Elementary education majors describe mathematics as an ongoing struggle in which the mathematics is active, and they are the victims. The secondary teaching mathematics majors describe mathematics as an ongoing struggle in which they are active

Popular Cultural Portrayals of Those Who Do Mathematics

This article examines the popular cultural portrayals of mathematicians, but also anyone who does mathematics. Themes occurring in comic strips, television programs, literature, and, especially, in the movies are examined. Implications discussed include that secondary students are not going to be willing to do mathematics, if doing mathematics is not presented as a cultural activity

Elementary Education Majors’ Stories About Math: An Analysis of Students’ Mathematics Autobiographies

This paper analyzes 52 preservice elementary education majors’ mathematical autobiographies. Participants wrote about their previous experiences with mathematics. Three themes emerged: (1) My previous teachers have played a significant role in the formation of my mathematical identity. (2) I want to help my future students understand, enjoy, and appreciate mathematics. And (3) Mathematics has its ups and downs. Although directed to define mathematics, many participants did not do so. The remaining participants described mathematics as needed for everyday life, as problem solving, or as a study

Galcanezumab in episodic migraine: subgroup analyses of efficacy by high versus low frequency of migraine headaches in phase 3 studies (EVOLVE-1 & EVOLVE-2).

BACKGROUND: Patients with high-frequency episodic migraine (HFEM) have a greater disease burden than those with low-frequency episodic migraine (LFEM). Acute treatment overuse increases the risk of migraine chronification in patients with HFEM. Galcanezumab, a humanized monoclonal antibody binding calcitonin gene-related peptide (CGRP), is effective for migraine prevention with a favorable safety profile. Here, we investigate whether there are differences in galcanezumab efficacy in patients with LFEM or with HFEM. METHODS: Data were pooled from two double-blind, placebo-controlled phase 3 trials; EVOLVE-1 and EVOLVE-2. Patients were 18-65 years old, experienced 4-14 monthly migraine headache days (MHDs) for ≥1 year prior, with onset at \u3c 50 years of age. Migraine headaches were tracked via electronic patient-reported outcome system and randomization was stratified by low (LFEM; 4-7 monthly MHDs) or high (HFEM; 8-14 monthly MHDs) frequency. Subgroup analysis compared the HFEM and LFEM subgroups with a linear or generalized linear mixed model repeated measures approach. RESULTS: The intent-to-treat patients (N = 1773) had a mean age of 41.3 years, were mostly white (75%), female (85%), and 66% of patients had HFEM. In both the LFEM and HFEM subgroups, the overall (Months 1-6) and monthly changes from baseline in monthly MHDs and monthly MHDs with acute medication use compared with placebo were statistically significantly reduced for galcanezumab 120-mg and 240-mg. Galcanezumab (120-mg and 240-mg) significantly decreased the overall and monthly MHDs with nausea and/or vomiting, and with photophobia and phonophobia versus placebo in patients with LFEM or HFEM. In both subgroups, the mean overall (Months 1-6) and monthly percentages of patients with ≥50%, ≥75%, and 100% reduction in monthly MHDs from baseline were statistically significantly greater in patients receiving either dose of galcanezumab versus placebo. Galcanezumab (120-mg and 240-mg) significantly improved the Migraine-Specific Quality of Life Questionnaire role function-restrictive domain score as well as the Migraine Disability Assessment total score versus placebo for patients with LFEM or HFEM. There were no significant subgroup-by-treatment interactions. CONCLUSIONS: Galcanezumab was as effective in patients with HFEM as in those with LFEM. Associated symptoms, quality of life, and disability were similarly improved in patients with HFEM or LFEM. TRIAL REGISTRATION: NCT02614183 , NCT02614196

Power-Ups in Digital Games: The Rewarding Effect of Phantom Game Elementson Player Experience

Power-ups are a type of game reward that allow the player tocustomise their experience by altering gameplay for a shortperiod of time. Despite the wide use of power-ups in videogames, little is known about their effect on gaming experiences.To explore this, we conducted an experimental study that compares the experiences of players depending on their exposureto power-ups in a recreational video game. The results show that players who collected power-ups felt significantly more immersed in the game, experienced more autonomy, but didnot feel more competent or challenged than those who played the game without these collectables. Interestingly, a similareffect was observed for those players who picked up ‘placebo ’power-ups, despite the items having no effect on the gameplay. We provide a discussion of these results and their implications both for games user researchers and game designers

Pulmonary manifestations in a pediatric patient with ulcerative colitis: a case report

<p>Abstract</p> <p>Introduction</p> <p>Although respiratory involvement has been described in patients with IBD, well-defined interstitial lung disease has not been reported, especially among children with ulcerative colitis.</p> <p>Case presentation</p> <p>Herein, we present a case of an adolescent female with ulcerative colitis and extra-intestinal complications involving the lungs that were effectively treated with anti-metabolite therapy.</p> <p>Conclusion</p> <p>Children with UC may manifest either interstitial or large airway pulmonary involvement. All children with suspected lung involvement should be screened for tuberculosis prior to starting immunosuppressive therapy.</p

Broken symmetry and the variation of critical properties in the phase behaviour of supramolecular rhombus tilings

The degree of randomness, or partial order, present in two-dimensional supramolecular arrays of isophthalate tetracarboxylic acids is shown to vary due to subtle chemical changes such as the choice of solvent or small differences in molecular dimensions. This variation may be quantified using an order parameter and reveals a novel phase behaviour including random tiling with varying critical properties as well as ordered phases dominated by either parallel or non-parallel alignment of neighbouring molecules, consistent with long-standing theoretical studies. The balance between order and randomness is driven by small differences in the intermolecular interaction energies, which we show, using numerical simulations, can be related to the measured order parameter. Significant variations occur even when the energy difference is much less than the thermal energy highlighting the delicate balance between entropic and energetic effects in complex self-assembly processes

A pilot study of cardiac MRI in breast cancer survivors after cardiotoxic chemotherapy and three-dimensional conformal radiotherapy

Purpose/Objectives: Node-positive breast cancer patients often receive chemotherapy and regional nodal irradiation. The cardiotoxic effects of these treatments, however, may offset some of the survival benefit. Cardiac magnetic resonance (CMR) is an emerging modality to assess cardiac injury. This is a pilot trial assessing cardiac damage using CMR in patients who received anthracycline-based chemotherapy and three-dimensional conformal radiotherapy (3DCRT) regional nodal irradiation using heart constraints. Materials and Methods: Node-positive breast cancer patients (2000-2008) treated with anthracycline-based chemotherapy and 3DCRT regional nodal irradiation (including the internal mammary chain nodes) with heart ventricular constraints (V25 \u3c 10%) were invited to participate. Cardiac tissues were contoured and analyzed separately for whole heart (pericardium) and for combined ventricles and left atrium (myocardium). CMR obtained ventricular function/dimensions, late gadolinium enhancement (LGE), global longitudinal strain (GLS), and extracellular volume fraction (ECV) as measures of cardiac injury and/or early fibrosis. CMR parameters were correlated with dose-volume constraints using Spearman correlations. Results: Fifteen left-sided and five right-sided patients underwent CMR. Median diagnosis age was 50 (32-77). No patients had baseline cardiac disease before regional nodal irradiation. Median time after 3DCRT was 8.3 years (5.2-14.4). Median left-sided mean heart dose (MHD) was 4.8 Gy (1.1-11.2) and V25 was 5.7% (0-12%). Median left ventricular ejection fraction (LVEF) was 63%. No abnormal LGE was observed. No correlations were seen between whole heart doses and LVEF, LV mass, GLS, or LV dimensions. Increasing ECV did not correlate with increased heart or ventricular doses. However, correlations between higher LV mass and ventricular mean dose, V10, and V25 were seen. Conclusion: At a median follow-up of 8.3 years, this cohort of node-positive breast cancer patients who received anthracycline-based chemotherapy and regional nodal irradiation had no clinically abnormal CMR findings. However, correlations between ventricular mean dose, V10, and V25 and LV mass were seen. Larger corroborating studies that include advanced techniques for measuring regional heart mechanics are warranted