Literature has established that some learners encountered difficulties solving first order ordinary differential equations (ODEs). The use of error analysis in teaching ODEs is believed to make essential contribution towards calculus knowledge development. This paper therefore focuses on analyzing pre-service teachers' (PSTs) errors and…

Generalization is the ability to apply regularities to novel instances, for example, correctly guessing that the plural for the novel English word 'wug' should be 'wugs'. Early language learners make overgeneralization errors like 'mouses', applying regularities beyond their attested uses. Theories concerned with the question of how learners learn…

Discourse markers (DMs) are linguistic forms characterized by their use as conversation organizers or pause fillers (Fox Tree, 2010). Although used frequently in both speech and writing, DMs are not often taught in L2 classrooms, despite incorrect usage causing potential misunderstandings (Polat, 2011). Additionally, L2 learners have been observed…

Due to their abstract nature, representation of mathematical concepts through different registers favors their understanding. In the case of ''sequences and regularities'', it becomes propitious the exploration of different registers of representation in the institution of topics, such as term, order, formation law, and generating expression.…

While the coronavirus disease 2019 (COVID-19) is still considered as a pandemic in recent human history, evidence from World Health Organization (2021) so far has recorded a total of 116,521,281 confirmed cases of COVID-19 with 2,589,548 as a total of deaths from over 215 countries or territories worldwide. Recognizing that COVID-19 is not only…

A nonrandomized quasi-experimental, mixed-method double pretest-posttest design was used to compare the effects of a multilinguistic word study model of instruction -- RAVE-O program (Wolf, Miller, & Donnelly, 2000) -- in comparison with a phonics word study model of instruction -- Fountas and Pinnell Phonics Lessons -- Letters, words, and how…

Troubleshooting activities require students to diagnose teacher-crafted erroneous examples by detecting and explaining the conceptual errors driving them. In a previous study, the author tested whether diagnosing erroneous examples and then scoring them using a rubric that contained the related worked examples, a step-by-step strategy to solve a…

As educators, we've all probably experienced presenting in new places and/or audiences, and having some sort of mishap. Therefore, as part of their professional preparation, we should prepare our students with realistic presentation practice, mishaps and all! Within this paper, I will outline a pedagogical tool that randomizes potential…

Mistakes can be a source of frustration for teachers and students in mathematics classrooms because they reveal potential misunderstandings or a lack of learning. However, increasing evidence shows that making mistakes creates productive pathways for learning new ideas and building new concepts (Boaler 2016; Borasi 1996). Learning through…

Dynamic assessment is a dialectic procedure requiring teachers to assess learners' progress by paying attention to students' errors while providing graduated prompts to help them fix them. Although previous studies have focused on the teachers' competence in carrying out the dynamic assessment, this case study explores the dynamic assessment…

When previous research is cited incorrectly, misinformation can infiltrate scientific discourse and undermine scholarly knowledge. One of the more damaging citation issues involves incorrectly citing article content (called quotation errors); therefore, investigating quotation accuracy is an important research endeavor. One field where quotation…

The aim of the study is to investigate the errors that first grade students have made in their writing of vertical numbers which have just been applied by removing cursive writing. Considering the aim of the study, vertical number writing styles of the first-grade students in primary school were analyzed. The sample of the study consists of 116…

Background and Context: Current introductory instruction fails to identify, structure, and sequence the many skills involved in programming. Objective: We proposed a theory which identifies four distinct skills that novices learn incrementally. These skills are tracing, writing syntax, comprehending templates (reusable abstractions of programming…

This is a study of my dramatized narrative based on a true story of what took place in a mathematics class in an international school setting. My narrative includes the exploration of a mathematical "mistake" and the discovery of newly emergent problems. The drama, commentary, and reflections provide a close examination of the conduct…

The current study explores error fossilization in the academic writing of Saudi English as a Foreign Language (EFL) undergraduate learners. A manual textual analysis approach, employing corpus content analysis on writing across diverse genres including argumentative, expository, narrative, and descriptive essays was conducted to discover the…