84 research outputs found

    Enacting Reasoning-and-Proving in Secondary Mathematics Classrooms through Tasks

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    Proof is the mathematical way of convincing oneself and others of the truth of a claim for all cases in the domain under consideration. As such, reasoning-and-proving is a crucial, formative practice for all students in kindergarten through twelfth grade, which is reflected in the Common Core State Standards in Mathematics. However, students and teachers exhibit many difficulties employing, writing, and understanding reasoning-and-proving. In particular, teachers are challenged by their knowledge base, insufficient resources, and unsupportive pedagogy. The Cases of Reasoning and Proving (CORP) materials were designed to offer teachers opportunities to engage in reasoning-and-proving tasks, discuss samples of authentic practice, examine research-based frameworks, and develop criteria for evaluating reasoning-and-proving products based on the core elements of proof. A six-week graduate level course was taught with the CORP materials with the goal of developing teachers’ understanding of what constitutes reasoning-and-proving, how secondary students benefit from reasoning-and-proving, and how they can support the development of students’ capacities to reason-and-prove. Research was conducted on four participants of the course during either their first or second year of teaching. The purpose of the research was to study the extent to which the participants selected, implemented, and evaluated students’ work on reasoning-and-proving tasks. The participants’ abilities were examined through an analysis of answers to interview questions, tasks used in class, and samples of student work, and scoring criteria. The results suggest that: 1.) participants were able to overcome some of the limitations of their insufficient resource by modifying and creating some reasoning-and-proving exercises; 2.) participants were able to maintain the level of cognitive demand of proof tasks during implementation; and 3) participants included some if not all of the core elements of proof in their definition of proof and in their evaluation criteria for student products of reasoning-and-proving products

    Calabi–Yau threefolds and moduli of abelian surfaces I

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    We describe birational models and decide the rationality/unirationality of moduli spaces A\cal Ad (and A\cal Alevd) of (1, d)-polarized Abelian surfaces (with canonical level structure, respectively) for small values of d. The projective lines identified in the rational/unirational moduli spaces correspond to pencils of Abelian surfaces traced on nodal threefolds living naturally in the corresponding ambient projective spaces, and whose small resolutions are new Calabi–Yau threefolds with Euler characteristic zero

    Acute necrotising pulmonary vasculitis and pulmonary hypertension in a juvenile dog

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    A five-month-old female Jack Russell terrier was presented for investigation of acute lethargy, anorexia, coughing, respiratory distress and weakness. Examination findings included cyanosis, a grade 3 of 6 systolic heart murmur and prolonged capillary refill time. Radiography and echocardiography revealed severe pulmonary hypertension, cor pulmonale and right-sided heart failure. Indirect measurement of the systolic pulmonary artery pressure estimated pressures over 100 mmHg. Despite treatment the patient died. Postmortem examination did not identify a congenital cardiovascular anomaly. Histopathology confirmed acute necrotising pulmonary arteritis and immunohistochemistry failed to identify any immune complex or complement deposition

    SCOPE enables type III CRISPR-Cas diagnostics using flexible targeting and stringent CARF ribonuclease activation

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    Characteristic properties of type III CRISPR-Cas systems include recognition of target RNA and the subsequent induction of a multifaceted immune response. This involves sequence-specific cleavage of the target RNA and production of cyclic oligoadenylate (cOA) molecules. Here we report that an exposed seed region at the 3′ end of the crRNA is essential for target RNA binding and cleavage, whereas cOA production requires base pairing at the 5′ end of the crRNA. Moreover, we uncover that the variation in the size and composition of type III complexes within a single host results in variable seed regions. This may prevent escape by invading genetic elements, while controlling cOA production tightly to prevent unnecessary damage to the host. Lastly, we use these findings to develop a new diagnostic tool, SCOPE, for the specific detection of SARS-CoV-2 from human nasal swab samples, revealing sensitivities in the atto-molar range.BN/Stan Brouns La

    Detection of genomic DNAs corresponding to individual (A–G) and complex pathogen samples (H–I) on a universal microarray

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    <p><b>Copyright information:</b></p><p>Taken from "Diagnostic application of padlock probes—multiplex detection of plant pathogens using universal microarrays"</p><p>Nucleic Acids Research 2005;33(8):e70-e70.</p><p>Published online 28 Apr 2005</p><p>PMCID:PMC1087788.</p><p>© The Author 2005. Published by Oxford University Press. All rights reserved</p> The analysed targets were as follows: () , 1 ng; () , 1 ng; () , 1 ng; () AG 4-2, 1 ng; () , 1 ng; () , 1 ng; () , 1 ng; () , 500 pg; , 500 pg and , 500 pg; () , 500 pg; AG 4-2, 500 pg and , 500 pg; () , 500 pg; AG 4-1, 500 pg and , 500 pg; () , 0.5 pg and , 500 pg; and () , 500 pg and , 5 pg

    Optimised padlock probe ligation and microarray detection of multiple (non-authorised) GMOs in a single reaction

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    Background To maintain EU GMO regulations, producers of new GM crop varieties need to supply an event-specific method for the new variety. As a result methods are nowadays available for EU-authorised genetically modified organisms (GMOs), but only to a limited extent for EU-non-authorised GMOs (NAGs). In the last decade the diversity of genetically modified (GM) ingredients in food and feed has increased significantly. As a result of this increase GMO laboratories currently need to apply many different methods to establish to potential presence of NAGs in raw materials and complex derived products. Results In this paper we present an innovative method for detecting (approved) GMOs as well as the potential presence of NAGs in complex DNA samples containing different crop species. An optimised protocol has been developed for padlock probe ligation in combination with microarray detection (PPLMD) that can easily be scaled up. Linear padlock probes targeted against GMO-events, -elements and -species have been developed that can hybridise to their genomic target DNA and are visualised using microarray hybridisation. In a tenplex PPLMD experiment, different genomic targets in Roundup-Ready soya, MON1445 cotton and Bt176 maize were detected down to at least 1%. In single experiments, the targets were detected down to 0.1%, i.e. comparable to standard qPCR. Conclusion Compared to currently available methods this is a significant step forward towards multiplex detection in complex raw materials and derived products. It is shown that the PPLMD approach is suitable for large-scale detection of GMOs in real-life samples and provides the possibility to detect and/or identify NAGs that would otherwise remain undetecte

    Patents, Public-Private Partnerships or Prizes – How should we support pharmaceutical innovation?

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    The question as to how society should support pharmaceutical (‘pharma’) innovation is both pertinent and timely: Pharma drugs are an integral component of modern health care and hold the promise to treat more effectively various debilitating health problems. The productivity of the pharma R&D enterprise, however, has declined since the 1980s. Many observers question whether the patent system is conducive to pharma innovation and point to several promising alternative mechanisms. These mechanisms include both ‘push’ programs – subsidies directed towards the cost of pharma R&D – and ‘pull’ programs – lumpsum and royalty-based rewards for the outputs of pharma R&D, that is, new drugs. I review evidence why our current system of pharma patents is defective and outline the various alternative mechanisms that may spur pharma innovation more effectively.Pharmaceuticals, R&D, patents, prizes, innovation
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