This study addresses a gap in the empirical research about how students use computational thinking (CT) skills throughout the problem-solving process, which is a crucial skill for STEM learning. I conducted task-based interviews with two pairs of Year 8 students with strong mathematical problem-solving skills and previous experience in solving…

The present study seeks to explore the mathematical connections that 13-14-year-old secondary school students establish when solving area tasks. Emphasis is placed on different mathematical objects, and the connections between them, that allow students to successfully solve the tasks. The study follows a mixed methodology using qualitative and…

In this paper, we explore the role that examples play as mathematicians formulate conjectures, and we describe and exemplify one particular example-related activity that we observed in interviews with thirteen mathematicians. During our interviews, mathematicians productively used examples as they formulated conjectures, particularly by creating…

In this paper, we present an empirical study carried out in a country where STEM education does not have a tradition, and the content and didactics of mathematics are typically studied separately from the content and didactics of biology. In that context, we focus on analogies in the conceptual structure of mathematics and biology, and study how…

In this article, we consider the phenomenon of improvisation by small groups of middle years students while engaged in rich mathematical tasks in a classroom setting. Working from the premise that improvisation comprises a spectrum of behaviour, we propose that there is a range of improvisational behaviours that may be observed as the students…

To encourage students' self-regulated learning at home, developing skills for textbook use to overcome learning-related impasses is crucial. This study examined the effects of providing mathematics class sessions that combined teacher instruction on appropriate textbook use with peer instruction, aimed at promoting students' spontaneity and…

This article focuses on students' meaning-making when working with mathematics textbooks from a multimodal approach that encompasses all resources for communication, which is an under researched area. Central to this study are the designed meanings of the textbooks and the affordances discovered by students when working with the textbooks. Video…

This article aims to develop a framework for the characterisation of problem-posing activities. The framework links three theoretical constructs from research on problem posing, problem solving, and psychology: (1) problem posing as an activity of generating new or reformulating given problems, (2) emerging tasks on the spectrum between routine…

The purpose of this study was to quantify the relationship between pre-service teachers' spatial visualisation skills and their mathematical creativity through problem-posing tasks. A group of 62 pre-service teachers completed the Purdue Spatial Visualisation test and took the mathematical creativity test through problem-posing tasks. Pearson's…

I explore students' discourses in small groups working on mathematical problems using GeoGebra, focusing on the Cartesian connection between algebra and geometry. Specifically, the interest lies in what is internally persuasive for students in upper-secondary school (11th grade) with histories of low attainment. Three problem-solving episodes are…

Mathematical reasoning is a difficult activity for students, and although standards have been introduced worldwide, reasoning is seldom practiced in classrooms. Productively supporting students during the process of mathematical reasoning is a challenge for teachers, and applying formative feedback might increase students' reasoning effectiveness.…

This commentary raises and discusses questions based on some of the agreements, disagreements, and themes found in the four chapters on fractions. It considers (1) the importance of tasks that are based in perception and readily available activity in light of an emphasis on problem solving in mathematics education, and the role that theories about…

This paper examines the formation of citizens and their differences in and through the contemporary mathematics education reforms in Turkey. The analysis focuses on how internationally designated mathematical competencies assemble with the nation-specific trajectories and revitalise cultural priorities. Curricular techniques, which aim at…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Research has uncovered a semantic cue effect for short inconsistent word problems; the presence of functionally related objects makes them easier for pupils than the presence of categorically related ones. This study builds on this result by investigating other types of problems. Variants of problems differing in a semantic cue were solved by…