This paper reports on the findings of a baseline study that fed on to a broader investigation exploring ICT integration in the teaching of functions. The baseline study was premised on the observation that the notion of function, despite being a fundamental and central idea in the mathematics school curriculum, presents pedagogical challenges to…

To achieve adaptive learning, a dynamic assessment system equipped with a cognitive diagnosis was developed for this study, which adopts a three-stage model of diagnosis-intervention-assessment. To examine how this system influenced spatial geometry learning, the study used a quasi-experimental method to investigate student learning outcomes…

Misconceptions or inaccurate ideas about Alzheimer's disease (AD) can be found in college students from health-related careers. Refutation texts explicitly introduce inaccurate information, refute it, and introduce alternative, more accurate information. This study examined the role of refutation texts in revising misconceptions about AD in…

An increasing number of studies are investigating the links between autism and borderline personality disorder. Studies report overlapping differences and the challenges in differentiating between these two diagnostic labels. In practice, there are many people, especially autistic women, who feel that they were misdiagnosed with borderline…

The aim of this research is to examine the effect of subject matter knowledge education (SMKE) on the pre-service science teachers' approach to error about plane mirrors. This study was conducted using developmental research and phenomenology designs, which are qualitative research methods. In the study, the data were analyzed with the descriptive…

The 21st-century mathematics classrooms should equip learners with well-grounded knowledge and thinking skills pertaining to geometry. However, Euclidean geometry remains one of the challenging, if not the most difficult topic for many learners. As a result, the purpose of this article is to interpret Grade 12 learners' learning difficulties in…

In the current study, it is aimed to determine the activities that need to be done to eliminate the mistakes made by primary school fourth grade students in multiplication and division operations and to present solution suggestions for eliminating these mistakes. The study employed action research, one of the qualitative research methods. The…

Introduction: Although there is ambiguity about the elements of teacher knowledge, all researchers accept that being able to anticipate what errors can be made, the reasons for and the strategies to overcome these errors, in short, the knowledge of students is important for student achievement. In this study, knowledge of students refers to being…

The curriculum resources used for teaching secondary mathematics vary considerably from school to school. Some schools base their teaching largely on a single published scheme, while others design their own schemes of learning, curating their resources from a range of (often free) online sources. Both approaches seem problematic from the…

Research indicates that troubleshooting activities that require students to reflect on pre-prepared erroneous examples, i.e. erroneous solutions to problems that correspond to common naïve ideas, impact their learning positively. These include asking students to diagnose erroneous examples; in other words, detect the conceptual errors and then…

Misconceptions are persistent beliefs that contradict the accepted scientific views, impacting how subsequent information is interpreted. Research to date has not examined the sources, or prevalence of, fundamental exercise science misconceptions in higher education (HE) or vocational education (VET) students. Both HE and VET educators were…

In a recent paper, Simpson and Dervin (2019a) offer a radical critique of the Council of Europe's "Reference Framework of Competences for Democratic Culture" (RFCDC). However, Simpson and Dervin's paper contains numerous factual errors, interpretative errors and category errors in its description of the RFCDC. We identify 12 such errors…

This pilot study explores the effectiveness of a strategy for overcoming post-primary students' misconceptions within the topic of algebra. Although central to the study of mathematics, algebra can be an area of difficulty for many students. A misconception is typically classified as flawed understanding of a concept causing repeated errors, and…

This study compared students' learning in troubleshooting and problem solving activities. The troubleshooting activities provided students with solutions to conceptual problems in the form of refutation texts; namely, solutions that portray common misconceptions, refute them, and then present the accepted scientific ideas. They required students…

Students learning a defined subject only perform by learning of thinking based on the concepts forming that subjects. Otherwise, students may move away from the scientific meaning of concepts and may fall into conceptual errors. Students' conceptual errors affect their following learning and cause them resist change. It is possible to prevent this…