Mathematics teacher education aims to improve teachers' use of mathematical knowledge to support teaching and learning, an aspect of pedagogical content knowledge (PCK). In this study, we interviewed teachers to understand how they used mathematics to make sense of student solutions to proportional reasoning problems. The larger purpose was to…

Ratio and proportional relationships, along with the interrelated topics of fractions, decimals, and percent provide a critical foundation for algebra (National Mathematics Advisory Panel, 2008). Solving even simple proportion problems is challenging for many children and adolescents. A small number of studies have examined the efficacy of…

New competence-oriented learning goals can only be sustainably implemented if they are aligned with teaching and assessment goals. Within the fields of science, technology and mathematics education, one approach of competence-oriented teaching is based on the concept of inquiry-based education. Scientific inquiry in science, problem solving in…

The purpose of this case study is to examine the problems that prospective primary school teachers posed related to the basic mathematical operations with whole numbers and to determine their problem posing abilities. The data was collected from seventy-two prospective primary school teachers through the Semi-Structured Problem Posing…

The purpose of this study is to determine the mathematics teacher performance category in building high order thinking skills (HOTS) of students. The study was conducted on 560 students taken randomly from ten junior high schools and eight high schools from eight districts in North Sumatra Province. Data collection techniques and instruments are…

This study aimed to present an example activity in which the engineering design process was used. The activity was carried out in an out-of-school learning environment in 12 periods of 40 minutes. Twenty-four students who were in the 6th, 7th or 8th grade, participated in the activity. Students were presented with a design problem in which moving…

Research shows that students face a range of difficulties when using the Internet to solve information problems. Using a quasi-experimental design, we tested a strategy to improve Chilean 10th graders' skills for information problem solving using the Internet (IPS-I). The intervention was based on a workshop in which students learned IPS-I…

The article presents comparative analysis of modular training as a teaching tool against traditional methods and techniques in educational institutions, particularly in higher education. Being one of the forms of interactive learning, modular training ensures efficient intermutual development of all members of educational process. It increases…

Students with autism spectrum disorders (ASD) are included more frequently in general education, and are increasingly expected to access and master core curricular content, including mathematics. However, mathematics often presents challenges to students with ASD. Studies on instructional interventions in mathematics for students with ASD are also…

This study explored the use of heuristics in the design space by novice and expert engineers in the initial ideation of a design solution. Verbal protocol analyses were conducted with four engineering students and four professional engineers as they generated ideas to solve a design problem. Overall, both experts and novices used various types of…

Research shows that collaborative work promotes student learning and improves social skills, but teachers are still exploring how to best support problem-solving in a small group context, particularly in the science classroom. This study builds on prior research to characterise teacher interactions with small groups in secondary science and…

The purpose of this paper was to examine the relationship between the problems of practice teachers encounter and social media use. In this study seven teacher bloggers were interviewed about their professional use of blogs and Twitter. Data from the interviews were compared with data from teachers' blogs and Twitter networks. Results indicated…

Decreasing students' satisfaction at higher secondary education context has drawn attention to the concept of student engagement in their classroom. Students' low level engagement with academic activities is considered the main reason for dissatisfaction that sometimes lead to drop out of the school. Blended learning intervention strategy that…

Undoubtedly the acquisition of mathematical skills for problem solving is critically important in today's sophisticated technological world. There is growing evidence that meta-cognition application is an important component of academic success in general and impacts on mathematical achievement in particular. Teachers' application of…

This study examined perceptions of the influence of the COVA learning approach on authentic projects and the learning environment by Digital Learning and Leading students in an online graduate program. Related literature points to an array of learner-centered pedagogies and learning environments that offer choice, ownership, voice, and authentic…