In this paper we present a theoretical discussion on how problems issued from discrete mathematics can develop the attitudes, skills, and knowledge required for scientific mathematical activity in the classroom. We do so via the research situation for the classroom model by performing mathematical and didactical analyses of a problem issued from…

The aim of this paper is to identify errors and misconceptions that student demonstrated when learning linear independence and linear dependence concepts. A case study is presented involving 73 in-service mathematics teachers at a university in Zimbabwe who were studying for a Bachelor of Science Education Honors Degree in mathematics. Data was…

This work is part of an investigation conducted in Italy, which aims to explore the effects of instruction on secondary school students' combinatorial reasoning. We gave a questionnaire adapted from Navarro-Pelayo's research to two groups of students with and without instruction on combinatorics in order to analyse the students' performances and…

One of the goals of secondary science education is to help students develop skills related to scientific inquiry. However, the results of previous studies have shown that students have difficulties in identifying problems, formulating hypotheses, drawing conclusions, and designing experiments. The main objective of this contribution is to indicate…

More older adults are moving toward options for digital connection; keeping up with and learning technology is challenging. Older adults' perceptions of the difficulty of learning to use technology may contribute to their hesitancy to adopt technology options (Barnard, Bradley, Hodgson, & Lloyd, 2013). The purpose of this study was twofold:…

Learners encounter social and emotional challenges every day. Some rise to the demands, while others struggle. Social and emotional learning (SEL) lessons can help all learners thrive. Busy school librarians and educators who appreciate the power of teaching with picture books will celebrate this all-in-one text designed to promote SEL through the…

Dual-credit programs, also known in the state of Ohio as the College-Credit-Plus program, is an initiative across the United States to provide another method for high school students--and sometimes even younger students--to earn postsecondary credit before graduating from high school. This project investigates the experience of dual-credit…

Integrating visual representations in an interactive learning activity effectively scaffolds performance and learning. However, it is unclear whether and how "sustaining" or "interleaving" visual scaffolding helps learners solve problems efficiently and learn from problem solving. We conducted a classroom study with 63…

Algebra I encompasses several topics that serve as a basis for students' subsequent mathematics courses as they progress in school. Some of the key topics that students struggle with is solving linear equations and algebraic word problems. There are several factors that may contribute to this ongoing struggle for students such as the structure of…

Undergraduate students in an education program, or preservice teachers, are expected to practice and teach productive struggle in mathematics as they prepare for their career. Productive struggle in mathematics requires students to persevere in solving rigorous tasks, despite their frustration in doing so. Therefore, a student's level of…

One of the core dimensions of historical and social science inquiry is "[d]eveloping questions and planning inquiries" according to the National Council for the Social Studies' College, Career, and Civic Life (C3) Framework. Yet existing education research, instructional resources, and assessment have ignored how students frame problems…

Inspired by a theoretical view of knowledge as a resource, this study explored in detail how a student used knowledge as a resource when she engaged in problem-solving about rocks and what she learned as a result of the practice of solving scientific problems. The context of the study was an inquiry project conducted in an earth science course for…

Computational thinking (CT) has gained considerable attention and in-depth discussion over the last two decades. Although the significance of CT has been highlighted, it could be challenging for educators to teach CT. Fortunately, adopting robots in education has been evidenced to be of benefit to promoting students' learning motivation, CT, and…

This qualitative case study explores the trajectory of one English writing teacher's self-directed development. The teacher's self-directed development incorporated the use of drama-based pedagogy, in assisting student writers' topic knowledge development. The study shows that the teacher's initial journey of self-directed development was zigzag,…

Research confirms that critical thinking plays a fundamental role in decision making and problem solving, skills that are essential to function as successful adults in a complex world. Consequently, it has been a focus of educational research for decades. Faculty meetings and teacher training sessions repeatedly run sessions on ways that teachers…