As technology continues to evolve, the process of English translation has become easier. A technology called widget, which is used in modern research, provides an efficient graphical user interface for the interaction between the user and the application. This paper compares the newly proposed wireless widget system with existing models of English…

Standardized observation systems seek to reliably measure a specific conceptualization of teaching quality, managing rater error through mechanisms such as certification, calibration, validation, and double-scoring. These mechanisms both support high quality scoring and generate the empirical evidence used to support the scoring inference (i.e.,…

Students' competence in solving trigonometry has been in doubt but little attention has been given in the area of research. An assessment of students' answers to trigonometry problems is crucial to dealing with their conceptual challenges. This study employed a descriptive qualitative research design, with the goal of evaluating errors made by…

This paper reports on a two-part investigation into how students think about and use summation (sigma) notation. During an instructional design experiment, two participating students struggled with this notation, but also reasoned about it in creative ways. This motivated a follow-up study in which we administered a free-response three-item survey…

Verb-marking errors such as "she play football" and "daddy singing" are a hallmark feature of English-speaking children's speech. We investigated the proposal that these errors are input-driven errors of commission arising from the high relative frequency of subject + unmarked verb sequences in well-formed child-directed…

Equating error is usually small relative to the magnitude of measurement error, but it could be one of the major sources of error contributing to mean scores of large groups in educational measurement, such as the year-to-year state mean score fluctuations. Though testing programs may routinely calculate the standard error of equating (SEE), the…

In single-case research designs (SCDs) to determine a functional relation a time-series graph is constructed. Preliminary evidence suggest the approach used to scale the vertical axis and the data points per x- to y-axis ratio (DPPXYR) impact visual analysts' decisions. We conducted a systematic review to evaluate time-series graphs published in…

Recent work reveals a left digit effect in number line estimation such that adults' and children's estimates for three-digit numbers with different hundreds-place digits but nearly identical magnitudes are systematically different (e.g., 398 is placed too far to the left of 401 on a 0-1000 line, despite their almost indistinguishable magnitudes;…

Background: Although it is well established that students' adaptive reactions towards errors promote learning outcomes, little is still known about the role of error feedback in promoting these reactions. Aim: Through a targeted intervention based on an online teaching unit, this study aimed at testing whether supportive error feedback promotes…

Background: Dealing with errors in the classroom is a crucial aspect of instructional quality and has multiple consequences for students' own dealing with errors, their learning and their achievement. The available literature on error climate indicates a paucity of research on the effects of perceived error climate on social aspects such as…

For Spanish nouns, masculine gender is unmarked and feminine is marked. Effects of markedness on gender agreement processing are inconsistent, possibly owing to differences between online methods. This study presents a reanalysis of eye-tracking data from Keating's (2022) study on the processing of noun-adjective gender agreement in speakers of…

This interpretive cross-case study investigates complexity in the ways teachers frame mistakes and the reasons behind their framing, challenging the assumption in the literature that productive beliefs about errors generate productive error-handling practices, while unproductive beliefs result in unproductive practices. The study draws on…

What is the optimal penalty for errors in infant skill learning? Behavioral analyses indicate that errors are frequent but trivial as infants acquire foundational skills. In learning to walk, for example, falling is commonplace but appears to incur only a negligible penalty. Behavioral data, however, cannot reveal whether a low penalty for falling…

People often rely on the covariation between events to infer causality. However, covariation between cues and outcomes may change over time. In the associative learning literature, extinction provides a model to study updating of causal beliefs when a previously established relationship no longer holds. Prediction error theories can explain both…

Qualitative comparative analysis (QCA) is an empirical research method that has gained some popularity in the social sciences. At the same time, the literature has long been convinced that QCA is prone to committing causal fallacies when confronted with non-causal data. More specifically, beyond a certain case-to-factor ratio, the method is…