Mathematical problem solving remains a struggle for many students today (Celebioglu et al., 2010; Englard, 2010; Gavaz et al., 2021; N. H. Lee et al., 2014; Yeo, 2011). Though intervention studies have reported measured impact on improving students' problem-solving abilities (Gavaz et al., 2021; Gidalevich & Kramarski, 2019; N. H. Lee et al.,…

The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…

As computational thinking (CT) gains more attention in K-16 education, problem-solving has been more emphasized as a core competency that can be found across various domains. To develop an evaluation framework that reveals students' problem-solving competency, this study examined solutions for the Bebras Computing Challenge which requires students…

Metacognition--knowledge, monitoring, and regulation of cognition--is key to learning and academic achievement. This is robustly supported for K-12 and higher education learners while empirical evidence in early childhood is encouraging but limited. To address these gaps in the literature, our first goal was to investigate early metacognition…

The aim of this study is to reveal and evaluate the attending and interpreting skills of student thinking of prospective teachers, as well as their instructional suggestions as responding skills. The current study was conducted with 29 prospective mathematics teachers (PMTs) within a qualitative design in the context of probability. First, three…

The contents of calculus, known for their complexity, present significant challenges for students, particularly in mastering multiple integrals and effectively visualizing related concepts. The transition to distance learning prompted by the COVID-19 pandemic has further complicated the learning process in multiple integrals. In line with this and…

This study explored 1634 Chinese eighth-grade students' domain- and task-specific self-efficacy and its relationship to their problem-posing performance. In particular, the linear regression model, generalized additive model (GAM), and piecewise regression model (PRM) were used to detail the linear and non-linear relationships between these…

To support teachers in implementing ambitious reform efforts, professional developers and teacher educators need to know more about teachers' thinking about argumentation. Specifically, there is a need to understand more about teachers' views and evaluations of "students'" mathematical arguments as they play out "in practice."…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

This study represents the inaugural attempt at assessing the authenticity of the tasks encompassed in the IELTS Speaking Module. The evaluation is conducted from the vantage points of applied linguistics and general education, and serves to enhance comprehension of authenticity and authentic assessment. In order to achieve this objective, an…

Collaborative problem-solving (CPS) engages students in solving ill-structured problems, creating group knowledge, and developing self-regulation and collaboration skills. Different scaffoldings, such as minimal-guided, task-oriented, and idea-oriented, can be used to facilitate students' CPS activities, but their effects have not been…

Within the self-regulated learning literature, motivation is considered to be an essential feature of students' self-regulatory processes. Additionally, task affect (i.e., personal objectives and task value) is thought to influence students' self-regulatory processes; insufficient task affect may lead to failures to self-regulate effectively. In a…

In our investigation of university students' knowledge about real numbers in relation to computer algebra systems (CAS) and how it could be developed in view of their future activity as teachers, we used a computer algorithm as a case to explore the relationship between CAS and the knowledge of real numbers as decimal representations. Our work was…

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,…

This study examined the impact of learner proficiency on the occurrence and resolution of language-related episodes (LREs) in rehearsal of interactive speaking tasks and on the subsequent use of language items from LREs during performance of the same tasks in front of the class. Forty-eight learners from six intact English as a foreign language…