From resource to document: scaffolding content and organising student learning in teachers’ documentation work on the teaching of series

We examine teachers’ use of resources as they prepare to teach the topic of numerical series of real numbers, in order to identify how their personal relationship with mathematical content—and its teaching—interacts with their use of a commonly used textbook. We describe this interplay between textbook and personal relationship, a term coined in the Anthropological Theory of the Didactic (ATD, Chevallard, 2003), in terms of documentation work (resources, aims, rules of action, operational invariants), a key construct from the documentational approach (DA, Gueudet & Trouche, in Educational Studies in Mathematics, 71, 199–218, 2009). We do so in the case of five post-secondary teachers who use the same textbook as a main resource for teaching the topic. Documentational analysis of interviews with the teachers led to the identification of their aims and rules of action (the what and how of their resource use as they organise their teaching of the topic) as well as the operational invariants (the why for this organisation of their teaching). We describe the teachers’ documentation work in two sets of aims/rules of action: scaffolding mathematical content (series as a stepping stone to learning about Taylor polynomials and Maclaurin series), and organising student learning about series through drill exercises, visualisation, examples, and applications. Our bridging (networking) of theoretical constructs originating in one theoretical framework (personal relationship, ATD) with the constructs of a different, yet compatible, framework (documentation work, DA) aims to enrich the latter (teachers’ documentation work) with the individual agency (teachers’ personal relationships with the topic) provided by the former.     

Survivor: The role of innovation in firms’ survival

This paper explores the relationship between innovation and the survival probability of manufacturing firms in the Netherlands, conditional on firm age and size. The empirical analysis combines firm level data on innovation, derived from the second Community Innovation Survey, and on the date of exit, from the Business Register of all firms active in the Netherlands. To estimate the survival probability of a firm we use a non-parametric approach, based on the calculation of Transition Probability Matrices over different time periods. The results show that innovation has a positive and significant effect on the probability of firms’ survival. This effect increases over time and is conditional on firm age and size; we observe that small and young firms are the most exposed to the risk of exit, as found in earlier studies, but also those that most benefit of innovation to survive in the market, especially in the longer term.     

A Cross-Cultural Analysis of Early Prelinguistic Gesture Development and Its Relationship to Language Development

Many Western industrialized nations have high levels of ethnic diversity but to date there are very few studies which investigate prelinguistic and early language development in infants from ethnic minority backgrounds. This study tracked the development of infant communicative gestures from 10 to 12 months (n = 59) in three culturally distinct groups in the United Kingdom and measured their relationship, along with maternal utterance frequency and responsiveness, to vocabulary development at 12 and 18 months. No significant differences were found in infant gesture development and maternal responsiveness across the groups, but relationships were identified between gesture, maternal responsiveness, and vocabulary development.     

Learning paths in synthesis writing: Which learning path contributes most to which learning outcome?

Instructional Science - This paper presents a secondary analysis of data collected during an intervention study in which students learnt to synthesise pairs of texts presenting opposite views on...     

Change management in extremis: A case study

After 40 years under one manager, the Circulation Department at the Richard J. Daley Library was long past due for a change. The challenge of reorganizing included interesting and interrelated aspects: changes to workflows and assignments, moving staff and functions inside the department and across departments, and a deep dive into the culture to which staff had become habituated. Managers eliminated redundancies and increased services, effectiveness, productivity, and joy. This case study is a testament to how successful change happens with patience, respect, and a willingness to be flexible.     

Elementary School Children’s Explanations of Day and Night

Science & Education - Most students have interacted with scientific representations that are used as teaching resources in schools. Often these external representations present challenges for...     

Effects of Population Heterogeneity on Accuracy of DIF Detection

Heterogeneity within English language learners (ELLs) groups has been documented. Previous research on differential item functioning (DIF) analyses suggests that accurate DIF detection rates are reduced greatly when groups are heterogeneous. In this simulation study, we investigated the effects of heterogeneity within linguistic (ELL) groups on the accuracy of DIF detection. Heterogeneity within such groups may occur for a myriad of reasons including differential lengths of time residing in English-speaking countries, degrees of exposure to English-speaking environments, and amounts of English instruction. Our findings revealed that at high levels of within-group heterogeneity, DIF detection is at the level of chance, implying that a large proportion of DIF items might remain undetected when assessing heterogeneous populations potentially leading to developing biased tests. Based on our findings, we urge test development organizations to consider heterogeneity within ELL and other heterogeneous focus groups in their routine DIF analyses.     

What's sexy? Adolescent girls discuss confidence,danger, and media influence

Building on qualitative research about sexualisation by media and culture and the impact on girls' development, in this article we present a discourse analysis of three focus groups of teen girls of colour and of diverse ethnicities asked to talk about sexiness. We focus on the ways the girls both support and resist hegemonic discourses about femininity and sexuality as well as on the discursive strategies used by the girls to separate sexiness from lack of respectability and present themselves as both knowing consumers of media and passive responders. The girls constructed sexiness in three ways that we refer to as interpretive repertoires and analyse each for paradoxes, contradictions, and resistance to mainstream conceptualisations of sexiness. These are sexy as confident; disadvantages and advantages to sexy; and sexy as sold to you.     

Representations over the Earth’s shape and the process of day and night from Nahua indigenous schoolchildren / Representaciones sobre la forma de la Tierra y del proceso día y noche en niños de escuelas indígenas Nahuas

This research presents the way in which children from a Nahua indigenous community build representations of the Earth’s shape, as well as the process that causes day and night. Concepts from school and local culture were studied. For the first case, a questionnaire was applied to 331 children, out of which 38 children were then interviewed on the topics from the questionnaire. For the cultural ideas, three teachers from the region and 30 children from the sample were interviewed. The results show that the representations depend on the form of questioning and the existence of three models: a flat structure with a celestial dome and mechanisms that hide or remove the Sun or the Moon in order to create day and night; a spherical structure with a surrounding sky, where the Sun and Moon rise and set; and a transitional model with a hollow sphere, flat surface and celestial dome. Cultural ideas do not appear to have any influence over these models, probably due to a loss of the community’s cosmogonic knowledge and the age of the children.