Metacognitive awareness is a variable that is thought to affect beliefs in problem solving. When the literature is examined, it is seen that the studies mostly focus on metacognitive awareness and problem solving skills. Therefore, the aim is to determine pre-service primary school teachers' metacognitive awareness and beliefs in mathematical…

Background: A variety of self-directed opportunities to learn how to program are available to kids. But how do kids manage the motivational and cognitive challenges of creating projects? Methods: I examined this question in the context of kids working at home with the Scratch programming environment, based on thematic analysis of semi-structured…

Effective leaders solve problems which prevent the achievement of organizational goals. We drew on theories of problem-solving and interpersonal behavior to propose a process model of quality problem-solving conversations, which was used to evaluate three leaders' attempts to resolve problems in conversation with those involved. Analyses revealed…

Comparison is a powerful and important way that we learn. To support teachers in the use of comparison in their instruction, the authors developed an instructional routine called compare and discuss multiple strategies (CDMS). Similar to other instructional routines, CDMS is a structured, specific, repeatable minilesson that teachers can use to…

One of the features of a mature society is the existence of a perfect system of legal regulation. To have a solid system of legal regulations, students need to be trained beforehand, to make them prepared for the world of practice. The purpose of the article is to theoretically substantiate the problem of educating the legal culture of students,…

Solving mathematical (math) word problems (MWP) automatically is a challenging research problem in natural language processing, machine learning, and education (learning) technology domains, which has gained momentum in the recent years. Applications of solving varieties of MWPs can increase the efficacy of teaching-learning systems, such as…

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 author focused on solving problems of third-degree price discrimination under a monopoly by integrating microeconomic theory and spreadsheet modeling. Price discrimination refers to a firm situation in which the same good is sold to different groups of consumers at different prices. First, the author included an introductory math background…

The purpose of this project was to understand how implicit views of authority support or limit prospective elementary teachers' (PTs) mathematical activity of justifying and to understand how the experience of justifying might support a development of an internal source of authority. In this case study of 18 PTs, we coordinate an analysis of (1)…

This work seeks to understand the emergent nature of mathematical activity mediated by learners' engagement with multiple artifacts. We explored the problem solving of two learners as they aimed to make sense of fraction division by coordinating meanings across two artifacts, one being a physical manipulative and the other a written expression of…

The future of learning has arrived, and it requires bold educational leadership and a dramatic redefinition of what it means to be a successful student today. "Redefining Student Success" invites you to lead this transformation with audacity. It engages leaders with the concepts and actions needed to reimagine schools, address…

One expected outcome of physics instruction is that students develop quantitative reasoning skills, including evaluation of problem solutions. To investigate students' use of evaluation strategies, we developed and administered tasks prompting students to check the validity of a given expression. We collected written (N > 673) and interview (N…

The exercise of pursuing greater understanding of riddles, especially of locally Indigenous traditional riddles, is an exercise in observation and perception, of limitation and self-correction, and of infinite persistence--skills essential to cross-cultural, cooperative decision making. This article aims to model a shared experience for teachers…

It is common for students to make mistakes while solving mathematical problems. Some of these mistakes might be caused by the false ideas, or misconceptions, that students developed during their learning or from their practice. Calculus courses at the undergraduate level are mandatory for several majors. The introductory course of…

This study compared the problem-solving abilities of ChatGPT and 58 pre-service teachers (PSTs) in solving a mathematical word problem using various strategies. PSTs were asked to solve a problem individually. Data was collected from PSTs' submitted assignments, and their problem-solving strategies were analyzed. ChatGPT was also given the same…