A Field Guide to Whole Number Representations in Children’s Books

Trade books are a common resource used to teach children mathematical ideas. Yet, detailed analyses of the mathematics content of such books to determine potential impacts on learning are needed. This study investigated how trade books represent whole numbers. A two-pronged approach was used a) one team documented every way 197 books represented numerical ideas and b) another team used standards to identify ideal representations. A third team validated the traits on 67 books. Greater variation than expected was documented (103 traits identified) and organized into a field guide for researchers to consult to design studies about how particular traits influence number learning. Studies could investigate how a particular trait supports learning or experimentally compare a selected combination of the 45 pictorial, 45 written symbol, 10 tactile, 2 kinesthetic, and 1 auditory trait. Implications for practice include recognizing what representations are present or missing from books used in classrooms. The study also serves as an example of how the field of mathematics education would benefit from adopting structures from disciplinary science, such as field guides, to inform how we organize phenomena of mathematics learning.

The Question is not “If to Localise?” but Rather “How to Localise?”: Perspectives from Irish Humanitarian INGOs

The localisation agenda has found a new impetus following the COVID 19 pandemic. International NGOs increasingly accept the inevitability of localisation and few would argue against its conceptual benefits. However, the challenge to operationalise localisation exposes fundamental differences in the INGO community. While all humanitarian INGOs share a common set of humanitarian principles, these principles sit alongside other principles and values that shape the fundamental strategic management processes of these organisations. This study of Irish humanitarian NGOs shows that organisations are at different stages in fully institutionalising localisation. Most of these organisations depend on a common resource pool that in turn has considerable influence over the speed of localisation. The big messages emanating from this study are that localisation is not without risk which needs to be shared by all stakeholders and many organisations will need to augment their strategic management processes to fully embrace localisation.

Analysis of the ARTIC version 3 and version 4 SARS-CoV-2 primers and their impact on the detection of the G142D amino acid substitution in the spike protein

The ARTIC Network provides a common resource of PCR primer sequences and recommendations for amplifying SARS-CoV-2 genomes. The initial tiling strategy was developed with the reference genome Wuhan-01, and subsequent iterations have addressed areas of low amplification and sequence drop out. Recently, a new version (V4) was released, based on new variant genome sequences, in response to the realization that some V3 primers were located in regions with key mutations. Herein, we compare the performance of the ARTIC V3 and V4 primer sets with a matched set of 663 SARS-CoV-2 clinical samples sequenced with an Illumina NovaSeq 6000 instrument. We observe general improvements in sequencing depth and quality, and improved resolution of the SNP causing the D950N variation in the spike protein. Importantly, we also find nearly universal presence of spike protein substitution G142D in Delta-lineage samples. Due to the prior release and widespread use of the ARTIC V3 primers during the initial surge of the Delta variant, it is likely that the G142D amino acid substitution is substantially underrepresented among early Delta variant genomes deposited in public repositories. In addition to the improved performance of the ARTIC V4 primer set, this study also illustrates the importance of the primer scheme in downstream analyses.

Economic valuation of rangelands in the north of Mexico: A study for its conservation

Aim of study: To estimate grazing fee and the economic value of the communal rangelands of two groups of ranchers. Area of study: Ejido Tanque de Arenas (ETA) and ejido Tanque de Dolores (ETD) in Catorce, San Luis Potosí, Mexico Material and methods: The contingent valuation method with referendum format was used to propose a grazing fee that would allow conservation and continuity in the use of the common resource. The field information was collected by interviews and was processed in the PASW Statistics 22 software NLOGIT Version 5.0. Main results: Perception of rangeland deterioration, age, size of the herd, and level of income are characteristics of ranchers that influence the willingness to pay. From the coefficient of rangeland of the region (24.2 ha/AU) a monthly grazing fee of USD 7.18 per animal was calculated. Research highlights: Estimation and payment of grazing fees are an alternative to avoid the deterioration of communal rangelands, without incurring land parcelization.

Temporally auto-correlated predator attacks structure ecological communities

For species regulated by a common predator, the P* rule predicts that the prey species that supports the highest mean predator density (P*) excludes the other prey species. This prediction is re-examined in the presence of temporal fluctuations in the vital rates of the interacting species including predator attack rates. When the fluctuations in predator attack rates are temporally uncorrelated, the P* rule still holds even when the other vital rates are temporally auto-correlated. However, when temporal auto-correlations in attack rates are positive but not too strongly, the prey species can coexist due to the emergence of a positive covariance between predator density and prey vulnerability. This coexistence mechanism is similar to the storage effect for species regulated by a common resource. Strongly positive or negative auto-correlations in attack rates generate a negative covariance between predator density and prey vulnerability and a stochastic priority effect can emerge: with non-zero probability either prey species is excluded. These results highlight how temporally auto-correlated species' interaction rates impact the structure and dynamics of ecological communities.

Otolaryngology Resident Education and Perceptions of e-cigarettes

Objective: To date, there are no reports of otolaryngology residents’ knowledge and confidence in discussing e-cigarette use. The purpose of this study was to evaluate otolaryngology resident e-cigarette knowledge and confidence in counseling patients on e-cigarette use. Study Design: Cross-sectional national survey Setting: Accreditation Council for Graduate Medical Education otolaryngology residents in the United States. Methods: US otolaryngology residents were distributed surveys electronically in September 2020. Results: A total of 150 participants replied for a response rate of 8.88%. The majority, 93.10% have not received formal education on e-cigarettes during their residency training. The most common resource of e-cigarette information overall was social media (78.46%). Within academia, the most common resources of e-cigarette education were patient interactions (63.16%) and colleagues (54.74%). Patients commonly inquire residents about e-cigarettes for smoking cessation (85.07%) and their long-term health effects (83.58%). Almost 67% of residents rarely or never ask patients about e-cigarette use. Only 4.35% of residents are not confident discussing traditional cigarette use, while 58.70% are not confident discussing e-cigarettes. Conclusion: Otolaryngology residents have not received formal education in e-cigarettes and are not confident discussing e-cigarettes with their patients. This highlights the need for e-cigarette education during otolaryngology residency to improve patient e-cigarette counseling.

Centralized resource allocation with the possibility of downsizing in two-stage network production systems

The network data envelopment analysis (NDEA) technique has been recently developed to measure the relative efficiency of complex production systems. NDEA models provide more meaningful and informative results in comparison to the conventional black-box DEA approach that ignores the operations of the component processes. Regarding the centralized decision-making systems, normal management imposes common resource constraints to maximize produced outputs and minimize consumed inputs. The present study seeks to introduce new centralized resource allocation models in two-stage network production systems. This intra-organizational perspective also provides the possibility of closing down some of the existing units to improve system efficiency. To do so, three scenarios of centralized DEA models are introduced to take advantage of this possibility. A simple numerical example is used for illustration purposes. An empirical application of the proposed approach to the twenty branches of a university is also presented to show the applicability of the new approach.