Based on the unpredictable effect of context familiarity when students solve real-world problems, this work aims to analyse how certain contexts can be used by pre-service mathematics teachers in the representation and real-world verification of a first-order mathematical model in the classroom in the subject of Ordinary Differential Equations.…

In this study, we explored the ways in which listening tools within technology-mediated environments can facilitate children's self-regulation of instrumental music learning between lessons. This interpretive multiple case study utilized a software application assigned for 22 weeks to a piano teacher and four students (ages 8-10). Data sources…

As a problem-solving approach, design thinking (DT) emphasizes iterative, user-focused designing. While DT is being readily adopted into education, little is known about how educators integrate DT across curricula. To address this question, we collaborated with a tech-ed industry partner and a focus group of experienced educators to assess…

Students' grasp of the non-mathematical language in a mathematics story problem--such as vocabulary and syntax--may have an important effect on their problem-solving, and this may be particularly true for students with weaker language skills. However, little experimental research has examined which individual language features influence students'…

The development of problem solving skills is a shared goal in science, engineering, mathematics and technology education. In the applied sciences, problems are often open-ended and complex, requiring a multidisciplinary approach as well as new designs. In such cases, problem solving requires not only analytical capabilities, but also creativity…

Previous research has found that embedding a problem into a familiar context does not necessarily confer an advantage over a novel context in the acquisition of new knowledge about a complex, dynamic system. In fact, it has been shown that a semantically familiar context can be detrimental to knowledge acquisition. This has been described as the…

This paper reports on a study that examines the effects of problem context on students' performance. The performance of 151 Year 10 students on six mathematical problems was compared with the performance on fifteen variants with more and less context familiarity (CF) and engagement (CE) across levels of context use (LCU). The latter explanatory…

Research has demonstrated that instruction that relies heavily on studying worked examples is more effective for less experienced learners compared to instruction emphasizing problem solving. However, the guidance associated with studying some worked examples may reduce the performance of more experienced learners. This study investigated…

This study investigated the relationship between problem familiarity and students' learning in a problem-based course. Problem familiarity in this study refers to the extent to which a problem fits with students' prior knowledge and experiences. As part of regular course work, 172 students were given two problems on different occasions.…

This study concerns pupils' experience of unit and non-unit fractions of a discrete quantity during specially designed lessons. The aim was to explore pupils' understanding of operations such as "b/c of a" in lessons where the teachers were aware of some pupils' difficulties beforehand and what needed special attention.…

This study is based on our belief that mathematics should be challenging in any classroom and that mathematical challenge is among the central factors that determine the quality of mathematics lessons. Choosing challenging mathematical problem for the students is central in teachers' work while their conception of mathematical challenge can…

This paper is intended to share the results of the assessment of the use of the Online Work Community (OWC), developed in the Moodle technology that was used as an instrument to facilitate the educational and operational processes, intended to share problems and proposals for solution among the 470 members of the development teams, made up of…

The aim of this dissertation is to present the procedure and proceedings of an instructional research into the teaching and learning among Luo women of Western Kenya. The purposes of the research are threefold. First, it seeks to document a system of indigenous adult education that has proved sustainable among Luo women from generation to…

A method for teaching problem-solving skills to mathematics students is presented. By subtly incorporating engineering applications, the students are simultaneously exposed to an effective outreach programme. The process includes offering a complex problem that challenges students' abilities. Before allowing the students to become frustrated, the…

Systems biology, metabolomics, metabolic engineering, and other recent developments in biochemistry suggest that future biochemists will require a detailed familiarity with the compounds and pathways of intermediary metabolism and their biochemical control. The challenge to the biochemistry instructor is the presentation of metabolic pathways in a…