数学教学目标制定的问题及改进——以初中三维数学教学目标为例

在教学目标有关理论研究及数学教学目标制定实践的基础上,建立了数学教学目标分析框架;基于这个分析框架,从整体结构和具体表述两个方面分析了初中数学教师制定的数学教学目标,梳理了数学教学目标制定存在的问题;最后,简要介绍了数学教学目标制定存在问题的改进流程,并提供了数学教学目标改进具体案例.     

Overlaps of multiple database retrieval and citation tracking in dementia care research: a methodological study

Objective:We aimed to determine overlaps and optimal combination of multiple database retrieval and citation tracking for evidence synthesis, based on a previously conducted scoping review on facilitators and barriers to implementing nurse-led interventions in dementia care.Methods:In our 2019 scoping review, we performed a comprehensive literature search in eight databases (CENTRAL, CINAHL, Embase, Emcare, MEDLINE, Ovid Nursing Database, PsycINFO, and Web of Science Core Collection) and used citation tracking. We retrospectively analyzed the coverage and overlap of 10,527 retrieved studies published between 2015 and 2019. To analyze database overlap, we used cross tables and multiple correspondence analysis (MCA).Results:Of the retrieved studies, 6,944 were duplicates and 3,583 were unique references. Using our search strategies, considerable overlaps can be found in some databases, such as between MEDLINE and Web of Science Core Collection or between CINAHL, Emcare, and PsycINFO. Searching MEDLINE, CINAHL, and Web of Science Core Collection and using citation tracking were necessary to retrieve all included studies of our scoping review.Conclusions:Our results can contribute to enhancing future search practice related to database selection in dementia care research. However, due to limited generalizability, researchers and librarians should carefully choose databases based on the research question. More research on optimal database retrieval in dementia care research is required for the development of methodological standards.     

Von der Lehrerausbildung in den Beruf – Fachbezogenes Wissen als Voraussetzung für Wahrnehmung,Interpretation und Handeln im Unterricht

The transition from teacher training into the teaching profession is seen to be key in the biography of a teacher. Yet there is a lack of enquiry into the development of the content knowledge (CK) and pedagogical content knowledge (PCK) held by teachers at the end of their education, and into the significance of this knowledge for situational and behavioural cognition. On the basis of data from the international comparative study TEDS-M 2008 and the Germany-based 2012 follow-up, this contribution investigates the knowledge and skills development of teachers during the transition from teacher training to the teaching profession in a four-year longitudinal study with n = 171 mathematics teachers. Three test formats (paper-and-pencil, video-vignettes and speed tests) are used to examine various indicators for teacher expertise. In addition to the analysis of changes in mathematical CK and PCK levels, path analysis is used to determine the extent to which this knowledge functions as a predictor for the perception and interpretation of classroom situations, the decision-making in these situations, and the quick identification of student mistakes. The results show only small changes in the group mean (for MCK there is a small loss, whereas MPCK remains constant), but high fluctuation (i. e. weak correlation) in the MPCK ranking between the two measurement occasions, pointing to differential learning effects gained from teaching practice. There are also significant differences in predictability: MCK is important for the speed indicators of teacher expertise; MCK and MPCK for the perception and interpretation of situations, and for the generation of action strategies. These findings can on the one hand help to facilitate the evaluation of beginning teachers’ need for support and, on the other hand, they indicate the necessity for the early integration of practice-based elements into teacher training programmes with the aim of developing PCK and related skills.     

Definability and stability of multiscale decompositions for manifold-valued data

We discuss multiscale representations of discrete manifold-valued data. As it turns out that we cannot expect general manifold analogs of biorthogonal wavelets to possess perfect reconstruction, we focus our attention on those constructions which are based on upscaling operators which are either interpolating or midpoint-interpolating. For definable multiscale decompositions we obtain a stability result.     

Lexical Quality and Reading Comprehension in Primary School Children

In a cross-sectional study, we examined the relationship between the quality of lexical representations and text comprehension skill in German primary school children (Grades 1–4). We measured the efficiency and accuracy of orthographical, phonological, and meaning representations by means of computerized tests. Text comprehension skill was assessed with a standardized reading test with questions requiring recognition of text information and inferencing. Both the accuracy of and the efficiency of access to the three types of lexical representations contributed to explaining interindividual variation in text comprehension skill. Results from a path-analytic model suggest a specific causal order of the three components of lexical quality with the quality of meaning representations partly mediating the effects of form representations.     

Governance for system optimization and system change: The case of urban waste

This paper analyses urban waste systems to explore how local authorities can resolve challenges related to climate change, urbanization and resource depletion. The paper investigates how different public governance regimes affect local authorities’ ability to move upwards in the waste hierarchy. It identifies three different governance regimes – traditional bureaucracy, new public management and networked governance – and uses the insights from innovation in urban waste in three Norwegian city regions – Oslo, Drammen and Bergen – to illuminate how these regimes possess both strengths and weaknesses in how they affect system optimization and system change. The observed working practices signal that the issue of urban waste systems is perceived as a challenge of system optimization rather than system change. Viewing this as a challenge requiring system change would probably have ensured a stronger directionality and a broader anchoring of actors. Such an approach is likely to have arrived at a waste prevention mode earlier than the step-by-step-solutions implemented so far. The paper concludes that there is not one best governance regime, but a need to acknowledge their co-existence and carefully consider the characteristics of the respective regimes in order to arrange urban waste systems for long-term dynamic and sustainable city regions.     

Cinematic Rendering in Anatomy: A Crossover Study Comparing a Novel 3D Reconstruction Technique to Conventional Computed Tomography

Integration of medical imaging into preclinical anatomy courses is already underway in many medical schools. However, interpretation of two-dimensional grayscale images is difficult and conventional volume rendering techniques provide only images of limited quality. In this regard, a more photorealistic visualization provided by Cinematic Rendering (CR) may be more suitable for anatomical education. A randomized, two-period crossover study was conducted from July to December 2018, at the University Hospital of Erlangen, Germany to compare CR and conventional computed tomography (CT) imaging for speed and comprehension of anatomy. Sixteen students were randomized into two assessment sequences. During each assessment period, participants had to answer 15 anatomy-related questions that were divided into three categories: parenchymal, musculoskeletal, and vascular anatomy. After a washout period of 14 days, assessments were crossed over to the respective second reconstruction technique. The mean interperiod differences for the time to answer differed significantly between the CR–CT sequence (−204.21 ± 156.0 seconds) and the CT–CR sequence (243.33 ± 113.83 seconds; P < 0.001). Overall time reduction by CR was 65.56%. Cinematic Rendering visualization of musculoskeletal and vascular anatomy was higher rated compared to CT visualization (P < 0.001 and P = 0.003), whereas CT visualization of parenchymal anatomy received a higher scoring than CR visualization (P < 0.001). No carryover effects were observed. A questionnaire revealed that students consider CR to be beneficial for medical education. These results suggest that CR has a potential to enhance knowledge acquisition and transfer from medical imaging data in medical education.     

The links between pedagogical competence,instructional quality,and mathematics achievement in the lower secondary classroom

Educational Studies in Mathematics - It is widely assumed that teachers play a key role in providing high-quality learning opportunities to students and fostering students’ learning. Yet it...     

A new look at learning-disabled and normal-achieving children's word-pair memorization ability

An 11-parameter Markov model of stages of learning, which was developed by Brainerd et al., will be presented. The focus will be on parameter interpretation in terms of long-term memory (LTM) processes. Next the model will be used to examine the contribution of these various LTM processes to Schooltype and Age differences in a word-pair memorization experiment. Subjects were 8 and 11-year-old normal-achieving (NA) children from regular elementary schools and 8 and 11-year-old children from special schools for learning disabled (LD) children. One of the main conclusions is that the Schooltype × Age interaction which was demonstrated for traditional performance measures, can be explained by LD children's little developmental progress in storage processes and deviations from normal development in aspects of the acquisition of retrieval algorithms. No deficiences were, however, detected in the LD children's rerention ability early in the task, and in the so-called heuristic retrieval operations.