This study investigates representational code-switching (RCS) by considering three high school students' communications in the process of comparing and contrasting pairs of representations (e.g., equation and graph) in the context of rational functions. Supporting this study is research in the realms of students interacting with mathematical…

In the authors' attempts to incorporate problem solving into their mathematics courses, they have found that student ambition and creativity are often hampered by feelings of risk, as many students are conditioned to value a produced solution over the actual process of building one. Eliminating risk is neither possible nor desired. The challenge,…

In this study, it was aimed to investigate the primary mathematics teacher candidates' perceptions about the equal sign within the scope of neuroscience studies. To reveal their perceptions about the equal sign, three types of addition operations were asked to the participants: a+b=[], []=a+b, a+b=[]+c. Their brain waves were recorded by EEG…

The use of the Internet to learn involves complex cognitive activities. Educational researchers claim more attention in studying the nature of students' challenges when using digital information for learning purposes. Our research investigated in depth the challenges that secondary students face when solving web information-problem tasks. We…

Collaborative problem solving (CPS) can support online learning by enabling interactions for social and cognitive processes. Teachers may not have sufficient knowledge to support such interactions, so support needs to be designed into learning modules for this purpose. This study investigates to what extent an online module for teaching nutrition…

Research on the seductive details effect on reading expository texts in multimedia learning environments has grown over the past few decades. However, less is known when seductive details are encountered in learning through worked-examples to solve problems. Thus, it is necessary to examine the seductive details effect when solving problems in a…

Students regularly struggle with mathematical tasks, particularly those concerning non-routine problems in geometry. Although educators would like for their learners to transfer their knowledge to non-routine and real-life situations, students run into a number of difficulties. The goal of this exploratory study was to analyze three participants'…

Collaborative problem solving (CPS) assessment is a new academic research field with a number of educational implications. In 2015, the Programme for International Student Assessment (PISA) assessed CPS with a computer-simulated human-agent (H-A) approach that claimed to measure 12 individual CPS skills for the first time. After reviewing the…

The current shift in U.S. educational reform toward standards and guiding frameworks that are more inclusive of twenty-first-century competencies has created a need for research regarding the assessment of these skills. Also, needing further exploration is an understanding of how these new learner-centered assessments may impact students.…

In the first years of life, as children observe, imitate, and interact with people and their environment, the brain is structuring a foundation for vocabulary, values, cognitive processes, and social skills. Educators, you can help influence that development by teaching the skills and dispositions of intelligent, creative, effective decision…

Adopting a broader dialogical conceptual lens on interactive listening, this study examines advanced adult learners' language use and thought processes during a problem-solving task. Twenty English as a second language (L2) students from a Scottish university participated in the study. They worked in pairs on the task before taking part in…

This brief explains what health literacy skills are and why they are important. It describes what skills students need for health literacy and provides tips for integrating health literacy in the adult education classroom.

Problem-solving strategies learned by physics undergraduates should prepare them for real-world contexts as they transition from students to professionals. Yet, graduate students in physics-intensive research face problems that go beyond problem sets they experienced as undergraduates and are solved by different strategies than are typically…

Covariational reasoning has been the focus of many studies but only a few looked into this reasoning in the polar coordinate system. In fact, research on student's familiarity with polar coordinates and graphing in the polar coordinate system is scarce. This paper examines the challenges that students face when plotting polar curves using the…

The Common Core State Standards for Mathematical Practice (CCSSI 2010) elevate the ways of thinking used to create mathematical results to the same level of importance as the results themselves. These mathematical habits of mind (MHoM), or "specialized ways of approaching mathematical problems and thinking about mathematical concepts that…