This study aims to examine the strategies developed by 7th grade students while shading different percentages of geometric shapes. The study was carried out with 113 7th graders studying at a state middle school in a province of Turkey. The data were gathered using the Shading Percentage Test, which consisted of seven tasks. Data analysis employed…

The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

The looking-back stage is rarely observed in students' problem solving in spite of its recognized importance. The importance of this stage is attributed to practices of engagement with queries on verification of the obtained solution(s), comparative consideration of alternative solutions, and formulation of implications for future problem solving.…

Background: Data visualizations transform data into visual representations such as graphs, diagrams, charts and so forth, and enable inquiries and decision-making in many professional fields, as well as in public and economic areas. How students' data visualization literacy (DVL), including constructing, comprehending, and utilizing adequate data…

The purpose of this study was firstly to investigate the mathematical metacognitive characteristics of high-efficiency students by comparing high-efficiency and low-efficiency students. Secondly, the aim was to explore the pathways of mathematical metacognition of efficient mathematics learners in mathematics achievement. In this study,…

Students often look to the standard algorithm, which requires rewriting the task, regrouping tens to create enough ones to subtract, and other opportunities to make errors. However, when the authors apply structural thinking, the resultant strategy is an efficient and elegant shortcut and even brings a positive connotation to the word…

Logical reasoning is of great societal importance and, as stressed by the twenty-first century skills framework, also seen as a key aspect for the development of critical thinking. This study aims at exploring secondary school students' logical reasoning strategies in formal reasoning and everyday reasoning tasks. With task-based interviews among…

In this study, the relationships between task value, self-efficacy and mathematics anxiety in everyday life in secondary school students were investigated. In addition, the mediating role of self-efficacy in the relationship between task value and mathematics anxiety in daily life was examined. 203 secondary school students participated in the…

Research is scarce about the lexical processes undertaken by thousands of L2 learners worldwide who already command one or more languages. Some aspects involved in lexical organisation and production, such as clustering and switching, have been traditionally approached through manual methods, which depend on subjective judgments of semantic…

Retrieval practice is a learning strategy that has repeatedly been found to have positive effects on memory and learning. However, studies indicate that students rarely use retrieval practice on a voluntary basis. The objective of the present study was to examine students' self-regulated use of retrieval practice, and to determine whether sex and…

This work is focused on upper-secondary school students' ability to use the periodic table of elements to solve problem tasks. Eye-tracking and retrospective think-aloud methods were used to evaluate the reasoning behind the students' (N = 8) performance, i.e., to map the strategies they used and problems they faced when solving the tasks. The…

Instructional effects in creative-thinking tasks are important to understand in order to promote creative performance of individuals. In divergent-thinking tasks, for example, instructional and strategic enhancement effects have been extensively studied for verbal tasks. However, while studies on instructional enhancement effects on creative…

Although an increasing number of studies have suggested that students with low mathematics achievement (LMA) tend to perform worse in arithmetic strategy use than children with typical development, the potential reasons remain unclear. Accordingly, the current study investigated the potential impact of task switching on strategy use for children…

The current study used microanalytic interviews and behavioral traces to examine sequential phase relations among forethought, performance, and self-reflection processes, and to investigate the predictive influence of these processes on mathematics performance of 96 eighth grade students. Consistent with expectations, students' microanlaytic goals…

Logical reasoning as part of critical thinking is becoming more and more important to prepare students for their future life in society, work, and study. This article presents the results of a quasi-experimental study with a pre-test-post-test control group design focusing on the effective use of formalisations to support logical reasoning. The…