Symbols play crucial roles in advanced mathematical thinking by providing flexibility and reducing cognitive load but they often have a dual nature since they can signify both processes and objects of mathematics. The limit notation reflects such duality and presents challenges for students. This study uses a discursive approach to explore how one…

This article reports on a study which used the APOS (action-process-object-schema) Theory framework and a classification of errors to investigate university students' understanding of the integration concept and its applications. Research was done at the Westville Campus of the University of KwaZulu-Natal in South Africa. The relevant rules for…

This article seeks to provide some modest insights into the pedagogy of higher-order thinking and metacognition and to share the use of color-coded drafts as a best practice in service of both higher-order thinking and metacognition. This article will begin with a brief theoretical exploration of thinking and of thinking about thinking--the latter…

The Math Promise is a contract that family members make with one another. They commit to spending mathematical time together; getting to know each other's mathematical thinking and understanding; and finding time to play math games, solve problems, and notice mathematics in their daily lives. Whether parents and children are cooking in the…

Parents in the United States expect their students to have homework; and students, especially in middle school and high school, expect daily homework assignments from their teachers. However, it is difficult to create effective homework assignments. Despite the challenges involved, the authors believe that homework "can" be an important…

Recent educational discourse is full of references to the value of critical thinking as a 21st-century skill. In music education, critical thinking has been discussed in relation to problem solving and music listening, and some researchers suggest that training in critical thinking can improve students' responses to music. But what exactly is…

This article takes as its starting point the assertion that the purpose of primary education is to value every child in the moment. The author examines one particular story by a six-year-old girl as an example of what this assertion implies, and of its significance for teaching and learning within the primary school.

In this qualitative study, the authors addresses the complexities of the Nigerian Social Studies teaching context taking into cognizance the pervasive and lecture-based pedagogical process centered on rote learning and memorization. Democracy being a globally enthroned system of government can only endure when the citizens are actively involved by…

This study analyzed how self-generated elaboration, instructor-assisted elaboration, and self-generated followed by instructor-assisted elaboration, affect accounting students' acquisition of procedural knowledge, intellectual skills, and their attitudes towards learning. The results indicate that the self-generated elaboration instructional…

The main aim of this research is to disclose the essence of students' multi-dimensional thinking, also to reveal the rating of factors which stimulate the raising of effectiveness of self-development of students' multi-dimensional thinking in terms of subject-oriented teaching. Subject-oriented learning is characterized as a type of learning where…

This paper intends to highlight the issues in thinking skills development and efforts made in addressing these issues in Malaysia. The education system in Malaysia has undergone a huge transformational progress particularly in the field related to the development of thinking skill. Traditionally, thinking skill was not specifically cultivated in…

Education in the twenty-first century must prepare students to meet the challenges of a dynamic and interconnected world. However, assessment of students' skills tends to focus primarily on static tasks. Therefore, it is not known whether knowledge about successful strategies displayed on static tasks can be transferred to interactive and dynamic…

Despite the well-established literature on explanation in early childhood, little is known about what constrains children's explanations. State change and negative outcomes were examined as potential explanatory biases in the domain of naïve biology, extending upon previous work in the domain of naïve physics. In two studies, preschool children…

The purpose of this article is to consider the impact of social skills on the potential success of future music educators. Studies indicate that effective social skills directly affect success in the classroom and in the social context of educational environments. Ineffectual social skills can contribute to feelings of isolation, burnout,…

The purpose of this study is to investigate, via a model, the explanatory and predictive relationships among the following variables: Mathematical Problem Solving and Reasoning Skills, Sources of Mathematics Self-Efficacy, Spatial Ability, and Mathematics Achievements of Secondary School 8th Grade Students. The sample group of the study, itself…