563 research outputs found

    Implementing Math Discourse and Rich Math Tasks to Develop Mathematical Thinking

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    Math is more than quick computation and the pursuit of correct answers. Math is sense-making. For students to thrive as problem solvers and critical thinkers in the classroom and beyond, attention must be paid to the development of their mathematical thinking. Mathematical thinking refers to the abilities to efficiently distinguish amongst specific procedures and flexibly formulate and represent strategies to suit a situation. It also includes the capacity to explain, analyze and justify one’s thinking with an understanding of self as an effective learner of math (Baroody et al., 2007; Boaler, 2018; Katz, 2014; Schoenfeld, 2016). This capstone project uses a two unit math curriculum to answer the question, how can upper elementary teachers use math discourse and rich math tasks to develop mathematical thinking? The curriculum provides established goals, assessments and a learning plan to transform the classroom math experience through the use of daily number talks, teacher talk moves and a variety of low floor, high ceiling tasks to foster the development of transformed math mindsets, a high quality discourse culture, and math experiences focused on sense-making. The hope is that the literature and curriculum can provide teachers with a starting point to transform math practices, supported with research and practical tools to implement discourse and rich math tasks into their math classrooms

    Is There Convergence Across Countries? A Spatial Approach

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    We analyze convergence across countries over the last half century as a result of globalizing forces. Drawing on theories of modernization, dependency, the world-system, political trade blocs, and the world-society, we consider economic, demographic, knowledge, financial, and political dimensions of convergence. Using a new methodology, we calculate the minimum volume ellipsoid encompassing different groupings of countries, finding that during the 1960–2009 period, countries have not evolved significantly closer or similar to one another, although groups of countries based on their core-periphery status or membership in trade blocs exhibit increasing internal convergence and divergence between one another

    Increasing access to CBT for psychosis patients: a feasibility, randomised controlled trial evaluating brief, targeted CBT for distressing voices delivered by assistant psychologists (GiVE2)

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    Background: The National Institute for Health and Care Excellence (NICE) recommends that Cognitive Behaviour Therapy for psychosis (CBTp) is offered to all patients with a psychosis diagnosis. However, only a minority of psychosis patients in England and Wales are offered CBTp. This is attributable, in part, to the resource-intensive nature of CBTp. One response to this problem has been the development of CBTp in brief formats that are targeted at a single symptom and the mechanisms that maintain distress. We have developed a brief form of CBTp for distressing voices and reported preliminary evidence for its effectiveness when delivered by highly trained therapists (clinical psychologists). This study will investigate the delivery of this intervention by a cost-effective workforce of assistant psychologists following a brief training and evaluate the acceptability and feasibility of conducting a future, definitive, randomised controlled trial (RCT). Methods: This is a feasibility study for a pragmatic, three-arm, parallel-group, superiority 1:1:1 RCT comparing a Guided self-help CBT intervention for voices and treatment as usual (GiVE) to Supportive Counselling and treatment as usual (SC) to treatment as usual alone (TAU), recruiting across two sites, with blinded post-treatment and follow-up assessments. A process evaluation will quantitatively and qualitatively explore stakeholder experience. Discussion: Expected outcomes will include an assessment of the feasibility of conducting a definitive RCT, and data to inform the calculation of its sample size. If evidence from a subsequent, fully powered RCT suggests that GiVE is clinically and cost-effective when delivered by briefly trained assistant psychologists, CBTp offered in these less resource-intensive forms has the potential to generate benefits for individual patients (reduced distress, enhanced recovery and enhanced quality of life), service-level patient benefit (increased access to evidence-based psychological therapies) and economic benefits to the NHS (in terms of the reduced use of mental health inpatient services). Trial registration: Current Controlled Trials, ISRCTN registration number: 16166070. Registered on 5 February 2019

    Eligibility of patients with Staphylococcus aureus bacteraemia for early oral switch

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    To identify people with low-risk Staphylococcus aureus bacteraemia (SAB), the SABATO investigators screened 5063 people, finding 213 (4·2%) meeting their eligibility criteria1. This low proportion of eligible patients led the authors to question if low-risk SAB is clinically relevant. We aimed to determine the clinical relevance of the SABATO definition of low-risk SAB, and if the trial population was representative of potentially eligible real-world patients. Data was collected retrospectively for 464 consecutive adults with SAB at our institution (Supplementary Figure), approved by the South East Scotland Research Ethics Committee (23/SS/0025). We then applied the SABATO inclusion and exclusion criteria to identify potentially eligible real-world patients.Of the 464 patients in our cohort, 71 (15·3%) would have been potentially eligible for inclusion in the trial. Acquisition of SAB in these patients was mainly nosocomial (35/71, 49·3%). Key cohort characteristics reported by the trial were very similar when comparing trial participants with potentially eligible real-world patients, although the median Charlson Comorbidity Index was lower in the trial cohort (Table). An intravenous catheter was the most common source of SAB in both cohorts, but there was a higher proportion of SAB from an unknown source in the real-world group (p=0·0015). An unknown source is a risk factor for complications2,3 and further evaluation combined with intensive follow-up of early oral switch should be considered in this group.Implanted prosthetic material is a component of the IDSA definition of complicated SAB4 but with certain caveats was not an absolute exclusion criterion in the SABATO trial. Nine potentially eligible real-world patients had prosthetic material in situ (n=4 cardiac devices and n=5 orthopaedic implants). This data was not reported for trial participants but could further increase confidence in applicability of the findings. No laboratory or physiology data from the time of the index blood culture was reported but might have been helpful to quantify disease severity and guide patient selection (Supplementary Table). We suggest this supports standardised collection and reporting of cohort characteristics in SAB trials to improve comparability between studies, which is often complicated by variability in the cohort characteristics reported5.We conclude that the sub-group of low-risk SAB studied in the SABATO trial is clinically relevant and find the similarities between randomised and real-world eligible patients re-assuring. Implementation of SABATO findings should be done cautiously and studied prospectively, especially when applied to patients with SAB of unknown source who were infrequently included in the trial.<br/

    Exact boundary conditions at finite distance for the time-dependent Schrodinger equation

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    Exact boundary conditions at finite distance for the solutions of the time-dependent Schrodinger equation are derived. A numerical scheme based on Crank-Nicholson method is proposed to illustrate its applicability in several examples.Comment: Latex.tar.gz file, 20 pages, 9 figure

    Revisiting OSIRIS-REx Touch-And-Go (TAG) Performance Given the Realities of Asteroid Bennu

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    The Origins, Spectral Interpretation, Resource Identification, and SecurityRegolith Explorer (OSIRIS-REx) mission is a NASA New Frontiers mission that launched in 2016 and rendezvoused with the near-Earth asteroid (101955) Bennu in late 2018. Upon arrival, the surface of Bennu was found to be much rockier than expected. The original Touch-and-Go (TAG) requirement for sample collection was to deliver the spacecraft to a site with a 25-meter radius; however, the largest hazard-free sites are no larger than 8 meters in radius. To accommodate the dearth of safe sample collection sites, the project reevaluated all aspects of flight system performance pertaining to TAG in order to account for the demonstrated performance of the spacecraft and navigation prediction accuracies. More-over, the project has base lined on board natural feature tracking instead of lidar for providing the on board navigation state update during the TAG sequence. This paper summarizes the improvements in error source estimation, enhancements in on board trajectory correction, and results of recent Monte Carlo simulation to en-able sample collection with the given constraints. TAG delivery and on board navigation performance are presented for the final four candidate TAG sites

    Psychological Functioning in Adulthood: A Self-Efficacy Analysis

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    In the first edition of this handbook, we laid the foundation for a self-efficacy approach to understanding learning in adulthood. We examined self-efficacy applications to learning in adulthood from two broad-based theoretical perspectives: KAPA (knowledge and appraisal personality architecture; Cervone, 2004a) and SOC (selective optimization with compensation, Baltes, Lindenberger, & Staudinger, 2006). Both perspectives emphasize the dynamic interplay between dispositional, motivational, situational, and developmental contexts for successful functioning and adaptation in life. In this edition, we build upon earlier claims with new evidence regarding the central role of self-efficacy to adult development, aging, and well-being in memory, health, work, and everyday problem-solving contexts. Of these, the work context is new in this edition, and the sections on memory, problem solving, and health are expanded and updated.The unifying theme of our chapter is the individual\u27s ability to adapt flexibly to new learning opportunities that arise in adulthood and old age by relying on perceived self-efficacy as a coping resource for navigating the changing social, cognitive, and physical landscape of late adulthood

    Folic acid source, usual intake, and folate and vitamin B-12 status in US adults: National Health and Nutrition Examination Survey (NHANES) 2003–2006

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    Background: US adults have access to multiple sources of folic acid. The contribution of these sources to usual intakes above the tolerable upper intake level (UL) (1000 ug/d) and to folate and vitamin B-12 status is unknown. Objective: The objective was to estimate usual folic acid intake above the UL and adjusted serum and red blood cell folate, vitamin B-12, methylmalonic acid, and homocysteine concentrations among US adults by 3 major folic acid intake sources - enriched cereal-grain products (ECGP), ready-to-eat cereals (RTE), and supplements (SUP) - categorized into 4 mutually exclusive consumption groups. Design: We used data from the National Health and Nutrition Examination Survey (NHANES) 2003-2006 (n = 8258). Results: Overall, 2.7% (95% CI: 1.9%, 3.5%) of adults consumed more than the UL of folic acid. The proportions of those who consumed folic acid from ECGP only, ECGP+RTE, ECGP+SUP, and ECGP+RTE+SUP were 42%, 18%, 25%, and 15%, respectively. Of 60% of adults who did not consume supplements containing folic acid (ECGP only and ECGP+RTE), 0% had intakes that exceeded the UL. Of 34% and 6% of adults who consumed supplements with an average of \u3c400 and \u3e400 ug folic acid/d, \u3c1% and 47.8% (95% CI: 39.6%, 56.0%), respectively, had intakes that exceeded the UL. Consumption of RTE and/or supplements with folic acid was associated with higher folate and vitamin B-12 and lower homocysteine concentrations, and consumption of supplements with vitamin B-12 was associated with lower methylmalonic acid concentrations (P \u3c 0.001). Conclusion: At current fortification levels, US adults who do not consume supplements or who consume an average of \u3c400 ug folic acid/d from supplements are unlikely to exceed the UL in intake for folic acid
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