Students enter classrooms equipped with a rich foundation of skills and knowledge from their everyday experiences. High-quality science education builds on students' wealth of experience in making sense of the world. In science classrooms, "sensemaking" is a collaborative practice that includes students sharing initial ideas with peers…

As proof and proving are the key elements of mathematics, several frameworks evaluating this process have been presented. Proof image, being one of them, was introduced by Kidron and Dreyfus (2014) through analyses of two mathematicians' activities. Authors clarified it in the context of components, and emphasized its relation with formal proof.…

The aim of this research was to study and investigate first year university calculus students' misconceptions about how to use the definition of limit to find the first derivative of functions and then remediate these misconceptions by using APOS theory (Action, Process, Object, and Schema). Students (n = 82 female and male) were selected based on…

This qualitative semi-structured interview study investigated how the opportunity to learn with productive struggle emerges in a teacher's beliefs, anticipation, planning, teaching, and response to struggle in learning mathematics. In this study, the experiences of student struggle in the teaching and learning of fractions was investigated through…

Mathematics scores on the 2019 National Assessment of Education Progress increased by only two points for both fourth and eighth grade students since 2007, indicating that students continue to struggle in mathematics (National Center for Educational Statistics, 2007; U.S. Department of Education, 2019). The development of both conceptual and…

This paper describes the adaptation of a flipped Biomedical Electronics course with laboratories to remote learning at the start of the COVID-19 pandemic. In class collaborative work on problem sets was replaced by group work (4-5 students) in Zoom breakout sessions. When the groups assembled at random for each class had sufficiently progressed on…

Mathematics education is constantly changing due to the growing use of computers worldwide, and these global changes greatly affect mathematics education. In a computerized and changing society, it is paramount schools prepare students to acquire both procedural knowledge and conceptual knowledge in mathematics. In the state of Georgia, fourth…

Real-world design settings can be complex, ill-structured, open and typically uncertain and/or ambiguous about their goals and solution paths. This study contributes to understanding how to work with these types of problems in a course project setting. The main objective of the study is to identify, propose and validate a set of practical…

The students' perception of how they are positioned by their teachers offer valuable insights into how teachers might engage students in the act of learning, construct themselves and acts in ways desirable to students, and how they might make the learning process a more enjoyable one for students. Teacher positioning is an important factor in…

Since the beginning of the 21st century, design education has been gaining momentum across disciplines as a means to equip students with skills relevant in the job market as well as to tackle wicked problems. One of the core assumptions behind integrating design education to other disciplines focuses on the need for hands-on and experiential…

Representation is widely viewed as central to mathematical problem solving, while online scaffolding is considered helpful in supporting learners' progress from actual to potential developmental levels of mathematics understanding. Therefore, this study investigated the effectiveness of employing online single vs. multiple representational…

Academics at Griffith university envisioned a complementary learning and supportive relationship could be developed between Bachelor of Information Technology (BAIT) students and Master of Social Work (MSW) students. Discussions between discipline specific staff highlighted that each discipline had strengths and expertise that could assist…

The folklorist Vladímir Propp identified a curious phenomenon in his study of 100 Russian fairy tales: despite their tremendous surface variety, they followed a single narrative structure or morphology. This article argues that the same phenomenon applies to SoTL articles: despite the tremendous variety of content and methods that SoTL articles…

The definition of creativity among professional mathematicians and the definition of mathematical creativity in the classroom context are significantly different. The purpose of this study was to investigate the relationship between students' mathematical creativity (i.e., cognitive flexibility) and figure apprehension when solving geometric…

Mathematics instruction can work to open or constrain children's opportunities to learn, and the busy, interactive nature of instruction makes it challenging for researchers to identify patterns in high-quality opportunities to learn. While researchers have documented how whole-group discussions and small-group work can contribute to such…