Argumentative problem solving in mathematics classrooms is a crucial practice that supports important student learning goals via collaborative deliberation and consensus building, but also places substantial cognitive and affective demands on both students and teacher. In this in-depth qualitative study, we considered how students' emotions during…

Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…

A scientific conceptual understanding of photosynthesis and respiration provides an important basis for understanding nature and the regulations of life. Photosynthesis and respiration are complex processes, and learning about them requires a proper understanding of their various aspects, from molecular biology to the ecosystem level. This study…

Epistemological obstacle is emphasized in mathematics education. Students often have limited students' context of knowledge in understanding trigonometry. Knowing the epistemology obstacle can help a teacher understand the student's misconception. Therefore, this study aimed to identify students' epistemological obstacles of trigonometry and…

The study was conducted to assess and evaluate the upper primary English teachers' status of content knowledge, pedagogical knowledge, pedagogical content knowledge and classroom practice. The factors that affected a classroom practice were explored in three dimensions: the students' factors, the teachers' factors, and the institutional factors.…

Little is known about the integration of current neuroscience knowledge to classroom teaching, although many teachers rely on neuromyths to shape their pedagogies. Through a professional development approach, the learning study, we explored how teachers learned to apply neuroscience to teaching instruction. The teachers collaborated to design,…

The concept of angles is important for future geometric knowledge (Arslan et al., 2016; Moore, 2013; Yigit, 2014). However, although Piaget (1948) suggests angles lead to the discovery of lines, angles are typically taught later in schools, after points, lines, and planes (Charles, 2011). Therefore, the way in which angles are taught can affect…

In this paper, we demonstrate how atypical visual representations of a triangle, square or a parallelogram may hinder students' understanding of a median and altitude. We analyze responses and reasoning given by 16 preservice middle school teachers in a Geometry Connection class. Particularly, the data were garnered from three specific questions…

The current study was conducted with the goal of helping to address the research gap of improving preservice teachers' pedagogical knowledge about probability by investigating how preservice teachers explored concepts of probability during aleatoric music composition, as well as their contemplation process during follow-up reflections focused on…

The present study explored 285 11th-grade students' preconceptions, misconceptions, and errors in solving mathematics tasks by graphical method. A descriptive-explorative study design was adopted. Cluster sampling was used to select students from sampled secondary schools in eastern and central Uganda. Students' paper and pen solution sketches…

This study, conducted in a 300-level college French class with 15 students, builds on previous research on symbolic competence (Kramsch, 2009, 2011). Using a film scene and a "Semiotic Gap Activity," we examine how students construct meaning. What do students prioritize? What do they bring from their past symbolic representations? Are…

Neuromyths are false beliefs, often associated with teaching and learning, that stem from misconceptions or misunderstandings about brain function. While belief in neuromyths has been established as prevalent among the general public and K-12 teachers, literature about neuromyth belief among higher education professionals (instructors,…

Refutation texts have been shown to be effective at promoting knowledge revision. It has been suggested that refutation texts are most effective when the misconception and the correct information are co-activated and integrated with causal networks that support the correct information. We explored two augmentations to a refutation text that might…

High school chemistry students' (n=183) applied and theoretical knowledge of dissolution, diffusion, effusion, and states of matter were compared. Study found that students' formal reasoning ability and their preexisting knowledge are associated with their conceptions and use of particulate theory. A significant difference between applied and…

Results of a systematic investigation into university students' (n=236) misunderstandings of d.c. simple circuit operations are reported. These results provide evidence of various misconceptions present before and after teaching the following topics: a battery as a source of constant current; the functional relation expressed by Ohm's law; power…