This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

Self-regulated learning (SRL) has been linked to improved learning and corresponding learning outcomes. However, there is a need for more precise insights into how SRL during learning contributes to specific learning outcomes. We operationalised four learning outcomes that varied on two dimensions: structure/connectedness and level/deepness of…

This study aimed to determine the effect of cognitive and affective factors on the performance of prospective mathematics teachers. Cognitive factors include cognitive independence level and working memory capacity, while affective factor include math anxiety. Mathematical performance was then assessed as basic math skills, advanced math skills…

Object-oriented programming distinguishes between instance attributes and methods and class attributes and methods, annotated by the "static" modifier. Novices encounter difficulty understanding the means and implications of "static" attributes and methods. The paper has two outcomes: (a) a detailed classification of aspects of…

Problem solving is often regarded as one of the most essential cognitive functions in our daily lives, and, for that reason, educational theorists have long stressed the need for its development. As cognitive flexibility is a fundamental characteristic necessary throughout the problem-solving process, the purpose of this study is to analyse…

This study aims to analyze the impact of cognitive flexibility and classroom engagement levels on high school students' creative problem-solving skills. The participants are 341 tenth grade students from three different high schools, along with nine mathematics teachers who have been teaching these students for at least two years. Data analysis…

This study aims to prepare statistics activity-targeting comprehension of the arithmetic mean, consisting of worked-out example explanations through ChatGPT for sixth graders; determine situations encountered during the implementation of the activity; ascertain the effect of the activity on students' mathematics problem-solving performance; and…

In this paper, I have argued that Flower and Hayes' (1981) Cognitive Process Theory of Writing might be enriched by the insights that derive from Simon's (1969) understanding of artifice as an element of the environment and from Todd and Gigerenzer's (2007) construct of ecological rationality. I have used Simon's parable of the ant to explain the…

Maker education can enhance learners' creativity. Design thinking can facilitate the innovative resolution of complex problems. The design thinking literature and most maker teaching modes are limited in their promotion of learning and ability development in various dimensions. Learners have stereotypes about some professions; interventions can…

In the context of our rapidly digitizing society, computational thinking stands out as an essential attribute for cultivating aptitude and expertise. Through the prism of computational thinking, learners are more adeptly positioned to dissect and navigate real-world challenges, poising them effectively to meet the exigencies of future societal…

This research aims to expand our understanding of how to facilitate student feedback engagement processes in a computer-based formative assessment environment. In the present research, we designed a new type of elaborated feedback in terms of combining the correct solution and the erroneous solution, and the erroneous solution matched the…

The trend in history education is gradually emphasizing the development of historical thinking and collaborative problem-solving skills, which are expected to enhance the breadth and depth of learners' thinking. The integration of game-based learning with collaborative problem-solving activities designed for historical thinking is expected to help…

Arithmetic problem solving is a crucial part of mathematics education. However, existing problem solving theories do not fully account for the semantic constraints partaking in the encoding and recoding of arithmetic word problems. In this respect, the limitations of the main existing models in the literature are discussed. We then introduce the…

In this digital ITEMS module, Dr. Jacqueline Leighton and Dr. Blair Lehman review differences between think-aloud interviews to measure problem-solving processes and cognitive labs to measure comprehension processes. Learners are introduced to historical, theoretical, and procedural differences between these methods and how to use and analyze…

This study aims to describe how subjects construct explicit warrant derived from implicit warrant when completing mathematical proof. This research was conducted on seventeen students of mathematics education study programs by providing tests on vector material in elementary linear algebra courses. The test results show that there are four…