Social interactions, including collaborative problem-solving situations, can trigger critical thinking skills. Giving questions that are not routine can trigger students' critical thinking skills in solving problems collaboratively. This research aims to develop non-routine mathematics problems that can be used to explore students' critical…

Mathematical beliefs and metacognitive knowledge play significant roles in solving mathematical problems; thus, this study aims to investigate the influence of middle school students' beliefs on their metacognitive knowledge when solving geometry problems. This study utilizes both quantitative and qualitative research methods. A linear regression…

Using Balacheff's (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set…

In this article, the authors review higher education's evolving role in this nation's democracy. They then describe a new collaboration, the Civic Learning and Democracy Engagement (CLDE) Coalition, which responds educationally to the challenges facing our democracy. The CLDE Coalition aims to (1) reclaim and revitalize higher education's public…

In addressing contemporary socio-ecological challenges it is imperative to engage individuals with the moral dilemmas in the human-nature context. A socioscientific-issues (SSI) approach to secondary biology education can contribute to engaging students in moral dilemmas and reflecting on their values. Following a design research methodology, we…

This article discusses the latest developments of the Sucre4Stem tool, as part of the Sucre initiative, which aims to promote interest in computational thinking and programming skills in K-12 students. The tool follows the Internet of Things approach and consists of two prominent components: 1) SucreCore and 2) SucreCode. SucreCore incorporates an…

Background: When second-career teachers (SCTs) learn to teach, they need to cope with the tension-evoking moments they encounter. Little is known about the coping strategies SCTs use to manage tensions. Aim: The purpose of this study was to investigate the coping strategies SCTs use during the first 1.5 years of teacher training. The SCTs' own…

Background: Problem-solving in early and middle childhood is of high relevance for cognitive developmental research and educational support. Previous research on science problem-solving has focussed on the process and strategies of children handling challenging tasks, but less on providing insights into the cognitive network that enables science…

Group metacognition involves a collective understanding of cognitive processes and collaborative problem-solving mechanisms within a group. This study, conducted through a systematic review of 54 studies, aims to present the evolutionary trajectory of research on group metacognition in (predominantly) online and face-to-face learning environments.…

Algebraic thinking is the ability to generalize about numbers and calculations, find concepts from patterns and functions and form ideas using symbols. It is important to know the student's algebraic thinking process, by knowing the student's thinking process one can find out the location of student difficulties and the causes of these…

This paper examined the ability of students to pose a problem in a free posing situation about sets in terms of the problem text, compatibility with mathematics principles, the problem type and structure, solvability, and mathematical complexity. Additionally, students were probed to determine the difficulties they encountered during the problem…

The development of a set of rubrics for teachers and curriculum designers interested in the quality of numeracy tasks emerged from our struggle with an attempt to clarify the distinction between numeracy and mathematics. Shifting our perspective from asking what numeracy and mathematics are to asking what they are about led to the…

The tradition of studies involving the combinatorial approach to recurring numerical sequences has accumulated a few decades of tradition, and several problems continue to attract the interest of mathematicians in several countries. This work specifically discusses the Fibonacci, Pell, and Jacobsthal sequences, focusing on Mersenne sequences. The…

Abstraction is essential to learning mathematics because the mathematical concepts obtained through abstraction will be more meaningful than directly receiving these concepts. This study aims to describe the pre-service teachers' abstraction in constructing relationships among quadrilaterals. This research method was explorative qualitative…

Machine learning (ML) techniques have been successfully applied to a wide array of applications. This dissertation aims to take application data handling into account when developing ML-based solutions for real-world problems through a holistic framework. To demonstrate the generality of our framework, we consider two real-world applications: spam…