This study answers the following research questions: 1) What types of mathematical errors do future teachers identify when they reflect on their practice? and 2) Which levels of development of the didactic suitability assessment competence for the "errors" component can be inferred when they reflect on their practice? To answer these…

Design patterns for learning are about articulating, testing and sharing the principles of problem solving in the educational context. In this way, multiple patterns are developed to solve common problems, described in various pattern language formats. Therefore, this work is about characterizing and establishing functional relationships between…

This study introduces an approach to estimate the uncertainty in bibliometric indicator values that is caused by data errors. This approach utilizes Bayesian regression models, estimated from empirical data samples, which are used to predict error-free data. Through direct Monte Carlo simulation--drawing many replicates of predicted data from the…

The integration of artificial intelligence (AI) into mathematical problem-solving has shown significant potential to enhance student learning and performance. However, while AI tools offer numerous benefits, they are prone to occasional conceptual and arithmetic errors that can mislead users and obscure understanding. This research examines such…

In the boxplot, the box always represents -- regardless of its area -- the middle half of the data and thus a measure of variability (interquartile range). However, when students first learn about boxplots, they are usual already familiar with other forms of statistical representations (e.g., bar or circle graphs) in which a larger area represents…

Background/purpose: This study aimed to identify common mistakes made in master's theses on mathematics education by Saudi mathematics students at lAU in Saudi Arabia, as determined through a content analysis, and to compare these with the views of faculty members. Materials/methods: A descriptive approach (analytical and survey) was employed. The…

Although multiple organizational-level databases are frequently combined into one data set, there is no overview of the matching methods (MMs) that are utilized because the vast majority of studies does not report how this was done. Furthermore, it is unclear what the differences are between the utilized methods, and it is unclear whether research…

Spatial memory is important for supporting the successful completion of everyday activities and is a particularly vulnerable domain in late life. Grouping items together in memory, or chunking, can improve spatial memory performance. In memory for desktop scale spaces and well-learned large-scale environments, error patterns suggest that…

Prediction-based accounts of language acquisition have the potential to explain several different effects in child language acquisition and adult language processing. However, evidence regarding the developmental predictions of such accounts is mixed. Here, we consider several predictions of these accounts in two large-scale developmental studies…

Requiring students to create weed collections is a common technique for teaching weed identification. Data compiled over 18 years from students' weed collections in a college-level course included over 350 species of plants. Almost half of the specimens belonged to the Asteraceae or Poaceae. The 30 most frequently collected species accounted for…

Metacognitive calibration--the capacity to accurately self-assess one's performance--forms the basis for error detection and self-monitoring and is a potential catalyst for conceptual change. Limited brain imaging research on authentic learning tasks implicates the lateral prefrontal and anterior cingulate brain regions in expert scientific…

This study investigated whether structural priming, as a reflection of error-driven learning mechanisms, could facilitate second language (L2) learning of the dative alternation in Mandarin. We sought evidence of learning from both priming and acceptability judgment data. Participants were 25 native speakers and 41 classroom learners (CLs). After…

Background: Graduate admissions in psychology continue to be a popular and competitive venture, with the demand for new graduate student opportunities exceeding the annual supply. Objective: Our present work was a partial replication and extension of Appleby and Appleby (2006). We added closed- and open-ended questions regarding social media to…

There is a strong connection between word reading and spelling development. Students' spelling can provide insights into their word-level reading skills and inform intensive reading interventions delivered within a data-based individualization framework. The purpose of this article is to describe the linguistic knowledge bases that connect word…

Population coding models provide a quantitative account of visual working memory (VWM) retrieval errors with a plausible link to the response characteristics of sensory neurons. Recent work has provided an important new perspective linking population coding to variables of signal detection, including d-prime, and put forward a new hypothesis: that…