Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…

Teachers' beliefs are importantly linked to teachers' classroom actions and, ultimately, to student achievement. Although much is known about general education teachers' beliefs about how children learn mathematics and mathematics instruction, there is little known about special education teachers' beliefs. This study then examined special…

Prior Learning Assessment (PLA) is a term for various methods by which universities accredit student experiential learning. One such method is the academic portfolio, a written reflective process in which students demonstrate that their personal or professional learning fulfills university outcomes. Proponents of academic portfolios claim that…

This study investigated the effects of pre-training types on the cognitive load, collaborative knowledge construction and level of learning in a computer-supported collaborative learning environment. Pre-training was provided to help learners optimise their cognitive load, build accurate shared-knowledge and achieve successful deep learning. The…

Background: During their university studies, student teachers are equipped for the teaching profession in various domains of knowledge and practice. In addition to learning pedagogic skills for practice purposes, they also expand their knowledge of the subjects that they will teach. In mathematics teacher education, one important principle is that…

Faded worked examples have been used to promote problem solving performance, such as mathematics performance in many laboratory studies and short-term classroom studies. However, few studies have examined the ways educators may use fading in their own classroom on more accessible platforms that do not require programming experience. Further, few…

Cognitive load can play a key role in learners' abilities to solve complex problems like mathematics. Many factors can affect the presence of cognitive load in learning including instructional strategy, task difficulty and prior knowledge. To understand the interaction of above factors and their influence on learner cognitive load and performance,…

Recent work has demonstrated that having students study worked examples and answer self-explanation prompts as part of their problem-solving practice improves learning on researcher-developed measures of mathematical proficiency. However, little work has been done to date to investigate whether these benefits translate to improvements on the types…

Background: Implementing research-based teaching practices has been repeatedly cited as an important factor for student success in university mathematics courses. Many research-based practices increase the amount of student-student and/or student-instructor interaction. However, some instructors are hesitant to implement such practices because…

In this study, we investigated whether playing an escape room game after explicit instruction (instruction-first group, N = 20) is more effective to learn about copyright and media law than playing the game before explicit instruction (problem-solving-first group, N = 21). This is an important question as escape room games are complex,…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

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…

This paper presents a fine-grained process analysis of 22 students in a classroom-based learning setting. The students engaged (and failed) in problem-solving attempts prior to instruction (i.e., the Productive-Failure approach). We used the HeuristicsMiner algorithm to analyze the data of a quasi-experimental study. The applied algorithm allowed…

The increasing prevalence of online courses has highlighted the importance of digital literacy for students. This study investigates the relationship between digital literacy and academic achievement among students who participate in an online course on anatomy and physiology. The study also evaluates how different aspects of digital literacy,…

Recent work has demonstrated that having students study worked examples and answer self-explanation prompts as part of their problem-solving practice improves learning on researcher-developed measures of mathematical proficiency. However, little work has been done to date to investigate whether these benefits translate to improvements on the types…