Diagnosing Teachers’ Understandings of Rational Numbers: Building a Multidimensional Test Within the Diagnostic Classification Framework

We report a multidimensional test that examines middle grades teachers’ understanding of fraction arithmetic, especially multiplication and division. The test is based on four attributes identified through an analysis of the extensive mathematics education research literature on teachers’ and students’ reasoning in this content area. We administered the test to a national sample of 990 in‐service middle grades teachers and analyzed the item responses using the log‐linear cognitive diagnosis model. We report the diagnostic quality of the test at the item level, mastery classifications for teachers, and attribute relationships. Our results demonstrate that, when a test is grounded in research on cognition and is designed to be multidimensional from the onset, it is possible to use diagnostic classification models to detect distinct patterns of attribute mastery.     

Taking educational games seriously: using the RETAIN model to design endogenous fantasy into standalone educational games

We are witnessing a mad rush to pour educational content into games in an ad hoc manner in hopes that player/learners are motivated simply because the content is housed inside a game. A failure to base educational game design on well-established learning and instructional theories increases the risk of the game failing to meet its intended educational goals, and yielding students who are entertained but who have not acquired any academic skills or knowledge. Our review of standalone educational games has shown that they are not always based on sound educational principles and theories. We contend that, if academic learning is to take place, a new design paradigm must be developed. This article discusses the RETAIN design and evaluation model for educational games that was developed to aide in the evaluation of how well academic content is endogenously immersed and embedded within the game’s fantasy and story context, promoters transfer of knowledge, and encourages repetitive usage to that content becomes available for use in an automatic way.     

What should a physical education teacher know? An analysis of learning outcomes for future physical education teachers in Sweden

Background: Research indicates that physical education teacher education (PETE) has only limited impact on how physical education (PE) is taught in schools. In this paper, our starting point is that the difficulties of challenging the dominating subject traditions in PE could be due to difficulties of challenging certain epistemological assumptions recurring in significant PETE subject matter and didactics courses.

Purpose: The purpose of this paper is to scrutinise how knowledge is expressed in learning outcomes formulated in curriculum documents at PETE institutions in Sweden and to discuss the potential educational consequences of the epistemological assumptions underlying the analysed expressions of knowledge.

Setting and participants: This paper offers possible explanations for the difficulties of influencing subject traditions in PE through analysing learning outcomes formulated in PETE curriculum documents. The analysis is based on 224 learning outcomes collected from a total of 18 course syllabi, spread at 6 PETE institutions in Sweden.

Research design, data collection and analysis: The documents have been collected through contact by e-mail with representatives for each institution. Through the analysis different themes in the material have been identified and clustered together. Inspired by Fenstermacher's ideas about teacher knowledge as propositional knowledge and performance knowledge, our ambition is to discuss the potential educational consequences of the epistemological assumptions underpinning the analysed learning outcomes.

Findings: In the collected learning outcomes, the following themes were identified: teaching PE, interpreting curriculum documents, physical movement skills, science, social health, pedagogy, critical inquiry, and research methods. In most of the identified themes, the learning outcomes represent both subject matter knowledge and general teacher knowledge and are also formulated with an integrated perspective on so-called performance knowledge and propositional knowledge. However, particularly in the themes science and physical movement skills, two very influential themes, the learning outcomes are limited to subject matter knowledge and the concept of knowledge in these themes is also limited and unilateral in relation to ideas of different forms of teacher knowledge.

Conclusions: We argue that a decontextualisation of knowledge, in this paper identified through dissolving science from its use in practice and through detaching physical movement skills from other conceptual foundations, contributes to the reproduction of subject traditions that render PE teachers incapable of critically reflecting over their practice, for instance how different groups of students benefit or suffer from the teaching of certain content. Drawing on the work of Tinning, we offer an explanation as to how teacher knowledge in the themes science and physical movement skills, emanating from behaviouristic and craft knowledge orientations, is formulated.     

Domain general constraints on statistical learning

All theories of language development suggest that learning is constrained. However, theories differ on whether these constraints arise from language-specific processes or have domain-general origins such as the characteristics of human perception and information processing. The current experiments explored constraints on statistical learning of patterns, such as the phonotactic patterns of an infants' native language. Infants in these experiments were presented with a visual analog of a phonotactic learning task used by J. R. Saffran and E. D. Thiessen (2003). Saffran and Thiessen found that infants' phonotactic learning was constrained such that some patterns were learned more easily than other patterns. The current results indicate that infants' learning of visual patterns shows the same constraints as infants' learning of phonotactic patterns. This is consistent with theories suggesting that constraints arise from domain-general sources and, as such, should operate over many kinds of stimuli in addition to linguistic stimuli.     

Kindergarten teachers adjust their teaching practices in accordance with children’s academic pre‐skills

This study examined the extent to which kindergarten children’s academic pre‐skills are associated with their teachers’ subsequent teaching practices. The pre‐skills in reading and math of 1268 children (655 boys, 613 girls) were measured in kindergarten in the fall. A pair of trained observers used the Classroom Assessment Scoring System instrument to observe 49 kindergarten teachers on their emotional support, classroom organisation and instructional support in kindergarten in the spring. The results of the multilevel modelling showed that low levels of academic pre‐skills in kindergarten classrooms in the fall predicted high classroom quality in the classrooms later on. The results suggest that the overall level of children’s academic pre‐skills in the classroom plays an important role in the ways in which teachers adapt their instructional practices to the needs of a particular classroom.     

On the influence of the architecture of poly(ethylene glycol)-based thermoresponsive polymers on cell adhesion

Thermoresponsive polymer surface coatings are a promising tool for cell culture applications. They allow for a mild way of cell detachment that preserves the activity of membrane proteins—a prerequisite for reliable cell analysis. To enlarge the application range of these coatings to cells with different adhesion properties, we synthesized various novel poly(ethylene glycol)-based thermoresponsive polymers and describe how (i) their chemical structure and (ii) their surface density affect their efficiency. In order to quantify the influence of both factors, the time for cell spreading and rounding efficiency were observed. As a result, efficiency of cell rounding, which is closely correlated to cell detachment, is less affected by both factors than the time needed for cell spreading. This time can effectively be adjusted by the molecular architecture which includes the length of the polymer backbone and the side chains. Based on this work, recommendations are given for future optimization of functionality of thermoresponsive polymer coatings for cell culture applications.     

Task‐focused behaviour and literacy development: a reciprocal relationship

The purpose of this study was twofold: (a) to examine the effect of task‐focused behaviour on reading fluency, spelling and comprehension; and (b) to examine the role of the different literacy skills in subsequent task‐focused behaviour. Two hundred and seven Finnish‐speaking children were followed from preschool until their fourth year at school and were tested for reading fluency, spelling and reading comprehension. The teachers also rated the children's task‐focused behaviour. The results showed that task‐focused behaviour was a significant predictor of later reading comprehension and spelling skills. However, all three literacy skills predicted subsequent task‐focused behaviour.     

The Role of School Climate in Explaining Changes in Social Trust Over Time

School is often ranked highly among social agents that are central to the development of various citizenship values and norms in younger members of society. In this paper, we examined the impact of two dimensions of school climate on changes in social trust among adolescents over time, namely relationships and safety. Using a series of latent change models on 3-wave panel data concerning roughly 850 Swedish adolescents aged 16 to 18 years, we found that experiences of victimization in school mattered most in predicting changes in social trust across 3 time points, when relevant demographic factors and other aspects of the school climate were controlled. In particular, social trust declined most among adolescents who experienced more victimization at school.     

The Hecht vault performed at the 1995 World Gymnastics Championships: deterministic model and judges' scores

The aim of this study was to determine the mechanical variables that govern success of the Hecht vault. The participants were 122 male gymnasts from 30 countries performing the vault at the 1995 World Gymnastics Championships. The vaults were filmed using a Photosonics 16-mm motion picture camera operating at 100 Hz. Approximately 80 frames were digitized for each vault analysed. The method of Hay and Reid was used to develop a theoretical model to identify the mechanical and physical variables that determine linear and angular motions of the vault. Correlational analysis was used to establish the strength of the relationship between the causal mechanical variables identified in the model and the judges' scores. Significant correlations (P < 0.005) indicated that the following were important determinants of success: large horizontal and vertical velocities at take-off from the board and the horse; large vertical and angular distances of pre-flight; large vertical impulses of high force and short duration exerted on the horse and the resulting large changes in vertical velocity on the horse; and large horizontal and vertical distances and long times of post-flight. Of the 18 significant variables identified in the present study, the angular distance of pre- and post-flights, the horizontal velocity and angular momentum at take-off from the horse, and the average moment of inertia and duration of post-flight collectively accounted for 57% of the variation in the judges' scores.