Pre service primary teachers’ approaches to mathematical generalisation

In our teaching with primary pre-service teachers (PSTs), each of us includes generalising tasks in the context of mathematical reasoning. We set out to explore the value of such activity from the perspective of PSTs and their approaches to generalisation. In this paper, we focus on one PST’s mathematical reasoning when working on the ‘flower beds’ problem. We analyse the ways in which this PST attends to: looking for a relationship; seeing structure within a single figure in a sequence; and seeing sameness and difference between figures in a sequence. We consider what motivates shifts in attention, we reflect on the significance of students’ prior experience, and of student collaboration in our teaching sessions

Pre-service primary teachers' approaches to mathematical generalisation

In our teaching with primary pre-service teachers (PSTs), each of us includes generalising tasks in the context of mathematical reasoning. We set out to explore the value of such activity from the perspective of PSTs and their approaches to generalisation. In this paper, we focus on one PST’s mathematical reasoning when working on the ‘flower beds’ problem. We analyse the ways in which this PST attends to: looking for a relationship; seeing structure within a single figure in a sequence; and seeing sameness and difference between figures in a sequence. We consider what motivates shifts in attention, we reflect on the significance of students’ prior experience, and of student collaboration in our teaching sessions

Primary pre-service teachers: reasoning and generalisation

Generalising tasks, in the context of mathematical reasoning, have featured in our work with primary pre-service teachers (PSTs). We used two particular problems - 'matchstick squares' and 'flower beds' - to explore the generalisation approaches taken by PSTs. In this paper, we analyse the ways in which one of them, Terry, uses recursive or functional approaches to generalisation, and how he attends to looking for a relationship and seeing sameness and difference between figures in a sequence. We consider what motivates shifts in attention, the significance of the PST's prior experience and of PST-collaboration in our teaching sessions. We conclude with a discussion about the significance of this activity in the PST’s preparation for teaching, with reference to Mason's (2010) notions of pro-spection and retro-spection.https://bsrlm.org.uk/wp-content/uploads/2018/11/BCME9-Research-Proceedings.pd

Language-specific and individual variation in anticipatory nasal coarticulation: A comparative study of American English, French, and German

Anticipatory contextual nasalization, whereby an oral segment (usually a vowel) preceding a nasal consonant becomes partially or fully nasalized, has received considerable attention in research that seeks to uncover predictive factors for the temporal domain of coarticulation. Within this research, it has been claimed that the phonological status of vowel nasality in a language can determine the temporal extent of phonetic nasal coarticulation. We present a comparative study of anticipatory nasal coarticulation in American English, Northern Metropolitan French, and Standard German. These languages differ in whether nasality is contrastive (French), ostensibly phonologized but not contrastive (American English), or neither (German). We measure nasal intensity during a comparatively large temporal interval preceding a nasal or oral control consonant. In English, coarticulation has the largest temporal domain, whereas in French, anticipatory nasalization is more constrained. German differs from English, but not from French. While these results confirm some of the expected language-specific effects, they underscore that the temporal extent of anticipatory nasal coarticulation can go beyond the preceding vowel if the context does not inhibit velum lowering. For all languages, the onset of coarticulation may considerably precede the pre-nasal vowel in VN sequences, especially so for English. We propose that in English, the pre-nasal vowel has itself become a source of coarticulation, making American English pre-nasal vowel nasality uninformative about coarticulatory nasalization. Degrees of individual variation between the languages align with the phonological or phonologized role of nasalization therein. Overall, our data further add to our understanding of the non-local temporal scope of anticipatory coarticulation and its language-specific expressions

Policy-relevant spatial indicators of urban liveability and sustainability : Scaling from local to global

[English] Urban liveability is a global priority for creating healthy, sustainable cities. Measurement of policy-relevant spatial indicators of the built and natural environment supports city planning at all levels of government. Analysis of their spatial distribution within cities, and impacts on individuals and communities, is crucial to ensure planning decisions are effective and equitable. This paper outlines challenges and lessons from a 5-year collaborative research program, scaling up a software workflow for calculating a composite indicator of urban liveability for residential address points across Melbourne, to Australia’s 21 largest cities, and further extension to 25 global cities in diverse contexts. [Chinese] 城市宜居性是创建健康、可持续城市的全球优先事项。对建筑和自然环境的政策相关空间指标的测量支持各级政府的城市规划。分析它们在城市中的空间分布，以及对个人和社区的影响，对于确保规划决策的有效性和公平性至关重要。本文概述了一个为期5年的合作研究项目所面临的挑战和经验教训，该项目将计算墨尔本住宅地址点的城市宜居性综合指标的软件工作流程扩大到澳大利亚21个最大的城市，并进一步扩展到25个不同背景的全球城市

The Vehicle, Fall 1978

Vol. 2, No. 1 Table of Contents FarewellGregory Manifoldpage 4 Visiting HoursCindy Grocepage 5 The Deer KillerG.L. Bullardpage 6 Identity CrisisCindy Grocepage 9 I ScreamDale Stroheckerpage 11 John RobertLee Martinpage 12 Smiling in WinterNancy Cunninghampage 20 Walt Disney Told Us LiesThomas C. Howellpage 20 LakesideMary McDanielpage 21 Heavy LiteratureTerry Kroenungpage 22 Old FriendsMary McDanielpage 27 A Sunny AfternoonJoan O\u27Connorpage 28 Always TomorrowMary McDanielpage 29 Four SunsetsGregory Manifoldpage 30 Come FreeBob Welshpage 32 Faded PinstripesLee Martinpage 33 WindsongCarolyn Perrypage 38 SilenceSylvia Aldertonpage 39 One More TimeCheri Clousepage 40 Grandfather Was IlliterateCindy Grocepage 41 StonehengeGregory Manifoldpage 43 GabsCheri Clousepage 44 Spindley Bare BranchesJeanne Hansenpage 48 Art CoverLafayette Wilson PhotographBill Cochranpage 3 DrawingLafayette Wilsonpage 10 DrawingLafayette Wilsonpage 19 PhotographBill Cochranpage 21 PhotographBarbara Colemanpage 28 DrawingJoyce Bonwellpage 31 PhotographKathy Sanderspage 39 DrawingKathy Sanderspage 42https://thekeep.eiu.edu/vehicle/1035/thumbnail.jp

Application of 4,5-diaminofluorescein to reliably measure nitric oxide released from endothelial cells in vitro

Here we describe in more depth the previously published application of the fluorescent probe 4,5-diaminofluorescein (DAF-2) in order to reliably measure low levels of nitric oxide (NO) as released from human endothelial cells in vitro. The used approach is based on the following considerations a) use low concentrations of DAF-2 (0.1 µM) in order to reduce the contribution of DAF-2 auto-fluorescence to the measured total fluorescence, and b) subtract the DAF-2 auto-fluorescence from the measured total fluorescence. The advantage of this method is the reliable quantification of NO in a biological system in the nanomolar range once thoroughly validated. Here we focus in addition to the previous publication (Leikert et al., FEBS Lett 2001, 506:131-134) on aspects of validation procedures as well as limitations and pitfalls of this method

A Multi-Host Agent-Based Model for a Zoonotic, Vector-Borne Disease. A Case Study on Trypanosomiasis in Eastern Province, Zambia

Background: This paper presents a new agent-based model (ABM) for investigating T. b. rhodesiense human African trypanosomiasis (rHAT) disease dynamics, produced to aid a greater understanding of disease transmission, and essential for development of appropriate mitigation strategies. Methods: The ABM was developed to model rHAT incidence at a fine spatial scale along a 75 km transect in the Luangwa Valley, Zambia. The method offers a complementary approach to traditional compartmentalised modelling techniques, permitting incorporation of fine scale demographic data such as ethnicity, age and gender into the simulation. Results: Through identification of possible spatial, demographic and behavioural characteristics which may have differing implications for rHAT risk in the region, the ABM produced output that could not be readily generated by other techniques. On average there were 1.99 (S.E. 0.245) human infections and 1.83 (S.E. 0.183) cattle infections per 6 month period. The model output identified that the approximate incidence rate (per 1000 person-years) was lower amongst cattle owning households (0.079, S.E. 0.017), than those without cattle (0.134, S.E. 0.017). Immigrant tribes (e.g. Bemba I.R. = 0.353, S.E.0.155) and school-age children (e.g. 5–10 year old I.R. = 0.239, S.E. 0.041) were the most at-risk for acquiring infection. These findings have the potential to aid the targeting of future mitigation strategies. Conclusion: ABMs provide an alternative way of thinking about HAT and NTDs more generally, offering a solution to the investigation of local-scale questions, and which generate results that can be easily disseminated to those affected. The ABM can be used as a tool for scenario testing at an appropriate spatial scale to allow the design of logistically feasible mitigation strategies suggested by model output. This is of particular importance where resources are limited and management strategies are often pushed to the local scale. © 2016 Alderton et al