We posit a dual approach to digital task design: to engineer opportunities for students to conceive of graphs as representing relationships between quantities and to foreground students' reasoning and exploration, rather than their answer-finding. Locally integrating Ference Marton's variation theory and Patrick Thompson's theory of quantitative…

This article explores the approaches used to plan mathematical reasoning tasks by two peer learning teams, one based in regional Victoria and the other in Vancouver, Canada. The results revealed that planning and peer observation support teachers' knowledge of mathematical reasoning and the pedagogy required to promote it.

Understanding fraction magnitudes is important for achievement and in daily life. However, adults' fraction reasoning sometimes appears to reflect whole number bias and other times reflects accurate reasoning. In the current experiments, we examined how contextual factors and individual differences in executive functioning (Experiment 1),…

Through analysis of a classroom lesson led by a decorated teacher, we illustrate how instructional practices favor students seeking empirical patterns at the expense of using mechanistic reasoning. In the lesson, when students spontaneously come up with hypothetical mechanisms to explain why a light bulb in an electric circuit does or does not…

Logical statements are prevalent in mathematics, science and everyday life. The most common logical statements are conditionals, 'If H … , then C … ', where 'H' is a hypothesis and 'C' is a conclusion. Reasoning about conditionals depends on four main conditional contexts (intuitive, abstract, symbolic or counterintuitive). This study tested a…

In an effort to examine students' understanding about the structure of boundary conditions in upper-division courses, think-aloud interviews were conducted in the context of both quantum mechanics and electricity and magnetism. In the quantum mechanics task, students were presented with a standard potential step scenario. In the electricity and…

Understanding fraction magnitudes is important for achievement and in daily life. However, adults' fraction reasoning sometimes appears to reflect whole number bias and other times reflects accurate reasoning. In the current experiments, we examined how contextual factors and individual differences in executive functioning (Experiment 1),…

In this paper, the application of fuzzy logic in mathematical education is viewed from the perspective of pre- school education. The aim of the paper is to give a brief overview of examples from the literature related to fuzzy logic and to point out the presence of fuzzy linguistic variables in the everyday life of a preschool child, as well as…

The aim of this study is to develop a descriptive phase model for problem-posing activities based on structured situations. For this purpose, 36 task-based interviews with pre-service primary and secondary mathematics teachers working in pairs who were given two structured problem-posing situations were conducted. Through an inductive-deductive…

To effectively employ inquiry-based learning to enhance students' inquiry practices and encourage them to think and act like scientists, science teachers must have a deeper understanding of the factors that influence scientific research and attitudes about scientist practice. This research contains the experience of two postdoctoral researchers in…

This study compared students with specific learning disorders (SLDs) and attention-deficit/hyperactivity disorder (ADHD) based on the Formal Elements Art Therapy Scale (FEATS). Thirty students with SLDs, 30 students with ADHD, and 30 students without SLDs/ADHD in Babol (Iran) completed the Person Picking an Apple from a Tree (PPAT) assessment.…

Online activism is a space of opportunity for students to encounter social justice issues, explore the possibilities of visual rhetoric, practice persuasive speaking skills, and actively contribute to the momentum of social movements. At the same time, digital activism raises concerns about "slacktivism," limiting the necessary…

The present qualitative case study investigated the beliefs and practices of six English language teachers in secondary schools in Oman about grammar instruction. To improve EFL education in Omani schools, the study sought to determine whether teachers' beliefs and their grammar teaching practices were congruent. The study collected the data…

We explored the mediating role of prior knowledge on the relation between intelligence and learning proportional reasoning. What students gain from formal instruction may depend on their intelligence, as well as on prior encounters with proportional concepts. We investigated whether a basic curriculum unit on the concept of density promoted…

This study aimed at identifying the level of scientific argumentation skills in chemistry subject among Omani Grade 11th students and the effects of their logical thinking skills and gender on this level. The study sample consisted of (400) male and female students selected purposely from one educational region in Oman. The study's instruments…