Proof and proving play a fundamental role in mathematics education and have the potential to serve as a vehicle for developing a deeper conceptual understanding. However, engaging students in proving activities presents challenges, and mathematics teacher educators thus are responsible for supporting preservice teachers, providing opportunities to…

To improve students' mathematics achievement, their errors should be treated as an opportunity to stimulate conceptual and procedural understanding. Using a teaching scenario, this study investigated 40 high school teachers' analyses of and responses to a student error(s) in solving a quadratic equation by using the factoring method. The teachers'…

Virtual laboratories have started to be the leading alternative teaching tools during the COVID-19 pandemic process. The "Acid-Base" subject is among those that form the foundations of biochemistry. Students can learn the "Acid-Base" subject in a secure environment, with remote access through the use of virtual laboratory…

This article focuses on student teachers' professional development and explores how the students connect theory and practice in these processes. Data consist of 17 talks during weekly seminars with 15 preschool student teachers and a group of researchers both at campus and at the practicum placements during their first term. Initially, the…

312 Singaporean children aged 4, 7, and 10 years from four different home language backgrounds--English, Malay, Mandarin, and Tamil--were tested for their recognition of animals and non-animals. The Malay-speaking group of children was the notable group that showed a different developmental pattern from the other three groups. They performed…

For years, hybridization in chemistry has been taught using static pictures and model kits. We decided to reimagine how students learn hybridization through the development of a mobile learning tool. The tool contains gamification features, such as achievements and progressive leveling that keep students engaged, while the mobile platform allows…

One of the aims of educational institutions in Turkey is to adopt an understanding of nationalism based on Atatürk's views by students. Atatürk's understanding of nationalism was founded on the unity of culture. It rejects racism. It emphasizes cultural unity rather than blood ties or religious unity. However, various forms of nationalism in…

We present a case of one teacher's engagement in project-based learning for algebra I students. This teacher was a member of a cohort of mathematics teachers and career technical educators who participated in a two-week intensive summer institute investigating autonomous vehicles. During the academic year, the follow up support for these educators…

Background: Many researchers have investigated student reasoning in Newtonian mechanics. In 1979 Viennot revealed that most students associate the concept of force with the velocity or acceleration of a motion. Forty years later, student understandings remain a major challenge for teachers. The implications of this challenge are still unclear,…

Over half a century has passed since Bruner suggested his three-stage enactive-iconic-symbolic model of instruction. In more recent research, predominantly in educational psychology, Bruner's model has been reformulated into the theory of instruction known as concreteness fading (CF). In a recent constructivist teaching experiment investigating…

The use of manipulatives to develop conceptual understanding appears to be a prevalent practice in many mathematical learning experiences, particularly in the early years of schooling. This study evaluates the impact of mathematical manipulatives on young children's attitudes towards mathematics (YCATM). The modified three-dimensional model of…

The purpose of this study was to investigate the understanding of prospective elementary mathematics teachers of the formal definition of the limit of a sequence. The participants were 32 prospective mathematics teachers (8 male and 24 female) who were in their third year of study in a four-year mathematics teacher preparation programme Istanbul…

Practical problem solving is not common in many mathematical classes in Malaysian upper secondary schools. Usually, students receive the mathematical concepts through abstract materials (students cannot see some of them in their daily life). Thus some students believe that 'mathematics is not necessary for human life'. In this article, the…

This research, conducted at a midsize university, focused on the virtue of tolerance as it relates to an often-neglected area of diversity--"diversity of conscience"--defined as 'legitimate differences of moral and religious conscience'. Tolerance is essential for fostering civility in our increasingly diverse societies and for promoting…

In this paper, we introduce a technology-enhanced pedagogical sequence for supporting lower secondary school students' sense-making of the concept of volume in a non-procedural and non-formula-driven way. Specifically, we illustrate a novel approach of using dynamic geometric environment (DGE) to introduce the meaning of volume and then deriving…