Inspired by the entering of computer algebra systems (CAS) in the Danish upper secondary school mathematics program, this article addresses, from a theoretical stance, what may happen when traditional procedures are outsourced to CAS. Looking at the commands "solve" and "desolve," it is asked what happens when such CAS…

The question of teaching a standard written algorithm for the four arithmetical operations in the first years of elementary school is increasingly raised as a consequence of the possibility of using calculators, tablets, and computers. This article first presents arguments both against and for maintaining this teaching in the first school years.…

In computer science education at school, computational thinking has been an emerging topic over the last decade. Even though, computational thinking is interpreted and integrated in classrooms in different ways, an identification process about what computational thinking is about has been in progress among computer science school-teachers and…

Although teachers need to assess computational thinking (CT) for computer science education in K-12, it is not easy for them to evaluate students' programs based on the perspective. The purpose of this study was to investigate students' CT skills reflected in their Scratch programs. The context of the study was a middle school coding club where…

This article describes the five stages of the design thinking model used to engage students in a creative-thinking process to solve assessment barriers.

Based on cognitive load theory, this paper reports on two experiments investigating the variability effect that occurs when learners' exposure to highly variable tasks results in superior test performance. It was hypothesised that the effect was more likely to occur using high rather than low levels of guidance and testing more knowledgeable than…

The purpose of this study was to investigate eighth grade students' skills in different problem-posing situations. Problem-posing situations include free, semi-structured and structured problem-posing situations. The study was conducted using case study methodology, which is within the scope of descriptive research. The study was conducted with…

Research has shown that the types of tasks assigned to students affect their learning. Various authors have described desirable features of mathematical tasks or of the activity they initiate. Others have suggested task taxonomies that might be used in classifying mathematical tasks. Drawing on this literature, we propose a set of task types that…

Effective self-regulated learning in settings in which students can decide what tasks to work on, requires accurate self-assessment (i.e., a judgment of own level of performance) as well as accurate task selection (i.e., choosing a subsequent task that fits the current level of performance). Because self-assessment accuracy is often low,…

The purpose of these notes is to provide examples of large-scale geometry problems that have the potential to promote "constructive struggling" in high-school geometry classrooms. These problems are suitable for being explored in a dynamic geometry environment. The notes also contain brief sketches of solutions to the two problems.

This study designs and implements interdisciplinary STEM instruction by adopting modelling-based physics programming, and explores its effectiveness on learning. A quasi-experimental study was conducted. The experimental group wrote programs to solve physics problems by following the modelling process, while the control group solved general…

This study investigated the performance of 790 fourth graders from Taiwan for judging the reasonableness of a computational result by using corresponding methods pertaining to whole numbers. A number-sense web-based two-tier diagnostic test was used to assess the number-sense performance of the fourth graders who participated in this study. The…

This study aimed to adapt the Physical Metacognition Inventory (PMI) developed by Taasoobshirazi and Farley (2013) to Turkish. PMI consists of 24 items and six factors. The scale items were translated into Turkish by the researchers, and a Turkish-English comprehensibility form was prepared to elicit the opinions of Turkish-English language…

Children in most schools, especially in Primary 7 (age 11, England Year 6), are increasingly engaging with technology and social media in a way that is completely different from 10 or even 5 years ago. More time is spent on phones and devices and, as a result of this, observations and appreciation of the wonderful natural world around them are…

Examples are an indispensable part of mathematical thinking through analogy, learning and the teaching process. In this study, the strategies that high school students used in example generation activities in mathematics course; operational and conceptual knowledge levels were determined and their effect on example generation ability was examined.…