The present study falls into the efforts to improve practices for addressing errors produced by learners in various situations involving the calculation of integrals. We attempt to clarify as precisely as possible the types of errors that secondary school students produce when using integrals in algebraic and graphical frames. Based on the…

Undergraduate students are expected to produce and comprehend constructive existence proofs; yet, these proofs are notoriously difficult for students. This study investigates students' thinking about these proofs by asking students to validate two arguments for the existence of a mathematical object. The first argument featured a common structural…

This research investigates errors and misconceptions among learners in algebraic education by utilizing Koch's error analysis method alongside the Structure of the Observed Learning Outcome (SOLO) taxonomy. The primary aim of the investigation is to discern the kinds of errors and cognitive stages demonstrated by Grade 9 students when engaged in…

Procedural fidelity is defined as the extent to which the independent variable is implemented as prescribed. Research using computerized tasks has shown that fidelity errors involving consequences for behavior can hinder skill acquisition. However, studies examining the effects of these errors once skills have been mastered are lacking. Thus, this…

Most studies on bilingual children's metalinguistic awareness assess metalinguistic awareness using monolingual tasks. This may not reflect how a bilingual's languages dynamically interact with each other in creating metalinguistic representations. We tested 33 Greek-Italian bilingual children (8-11 years) for metalinguistic awareness using…

The introduction of maker technology and personal fabrication has radically changed how we learn, design and innovate. In recent years, a growing number of people have begun to use a broad range of these creative technologies. A common challenge in the use of these electronic technologies, particularly for students, is the difficulties that arise…

Purpose: The purpose of this study was to (a) provide evidence for a theoretical model of between-language interaction in bilingual phonological production through the examination of substitution error patterns and to (b) provide developmental data on bilingual children with and without speech sound impairments for use in clinical assessment and…

This study examined Chinese EFL researchers' English abstract writing in language education. Using open-ended questionnaires, it first investigated 24 Chinese EFL researchers' perceptions of their challenges in writing English abstracts. Using generalizability theory and follow-up interviews, it then invited 16 experienced English journal…

Problem-based learning puts students in situations that suggest problems without providing instructions and available knowledge. Therefore, when using problem-based learning, students need to be flexible, self-disciplined, active and self-occupied with knowledge and turn the knowledge the teacher intends to impart into their knowledge. For locus…

We examined the role of morphological processing in the reading of inflections and derivations in Arabic, a morphologically-rich language, among 228 first-graders and 230 second-graders. All words were morphologically complex, with differences in number of morphemes and morphological transparency. Inflections consisted of three morphemes, with…

We analyse the PISA-reported convergence in the performance of private and public schools in Portugal. When PISA sampling weights are used, the number of students enrolled in those types of schools and specific grades/tracks of study differs significantly from official population figures. To account for those differences, we apply a…

This study was conducted to identify mathematical errors and mistakes made by preservice elementary mathematics teachers in the calculus course. To that end, the document analysis method of qualitative research models was used in the research. The sample of the research included a total of 75 preservice teachers who were attending the Department…

Studies on children's understanding of counting examine when and how children acquire the cardinal principle: the idea that the last word in a counted set reflects the cardinal value of the set. Using Wynn's (1990) Give-N Task, researchers classify children who can count to generate large sets as having acquired the cardinal principle…

This paper describes the difficulties faced by a group of middle school students (13- to 15-year-olds) attempting to translate algebraic statements written in verbal language into symbolic language and vice versa. The data used were drawn from their replies to a written quiz and semi-structured interviews. In the former, students were confronted…

Abstract This study proposes a new Bayesian differential item functioning (DIF) detection method using posterior predictive model checking (PPMC). Item fit measures including infit, outfit, observed score distribution (OSD), and Q1 were considered as discrepancy statistics for the PPMC DIF methods. The performance of the PPMC DIF method was…