Despite the efforts of instructional design (ID) to solve real-life problems, it remains challenging to adapt and be flexible in such situations. In particular, problems that require simultaneous knowledge of multiple domains and contexts are more challenging to solve because real-life problems do not reconstruct the learned experience. This is…

In research practice, it is common to measure cognitive load after learning using self-report scales. This approach can be considered risky because it is unclear on what basis learners assess cognitive load, particularly when the learning material contains varying levels of complexity. This raises questions that have yet to be answered by…

One way to reduce the cognitive load students feel during instruction is to change the way content is delivered. This can be achieved by optimising the instructional sequence and providing sufficient instructional support during problem-solving. However, the literature is unclear regarding whether an inductive or a deductive instructional sequence…

Nowadays, students often practice problem-solving skills in online learning environments with the help of examples and problems. This requires them to self-regulate their learning. It is questionable how novices self-regulate their learning from examples and problems and whether they need support. The present study investigated the open questions:…

We introduce a methodology for diagramming the ways students use sequences of mental actions to solve mathematical tasks. We studied 12 pre-service teachers as they solved a set of fractions tasks, ranked by cognitive demand. We present the unit transformation graphs for one of those pre-service teachers, to illustrate how she experienced and met…

Classroom methods that facilitate student learning from iteration have received little attention from scholars. Iterative learning requires students to repeat a problem-solving task in new contexts each time applying lessons from previous applications. Iterative learning formats improve students' learning outcomes and help instructors ensure that…

A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…

According to Geary's evolutionary approach, humans are able to easily acquire primary knowledge and, with more efforts, secondary knowledge. The present study investigates how primary knowledge contents can facilitate the learning of formal logical rules, i.e., secondary knowledge. Framing formal logical problems in evolutionary salient contexts…

Students benefit from learning multiple procedures for solving the same or related problems. However, past research on comparison instruction has focused on comparing multiple formal procedures. This study investigated whether the benefits of comparing procedures extend to comparisons that involve informal and formal procedures. We also examined…

The majority of adaptive and intelligent tutoring systems (AITS) are dedicated to a specific domain, allowing them to offer accurate models of the domain and the learner. The analysis produced from traces left by the users is didactically very precise and specific to the domain in question. It allows one to guide the learner in case of difficulty…

In traditional teaching, the fundamental concepts of electromagnetic induction are usually quickly analyzed, spending most of the time solving problems in a more or less rote manner. However, physics education research has shown that the fundamental concepts of the electromagnetic induction theory are barely understood by students. This article…

Dynamic geometry software (DGS) is often used for development of interactive teaching materials in many subjects, not only mathematics. These interactive materials can contain hundreds of elements in order to represent complex objects, and script programs to control their behavior. We propose an approach for creating, importing and using…

Although service learning provides unparalleled real world experiential student learning opportunities and benefits to four major constituencies--student, faculty, community and institution, it takes place in an uncontrolled environment introducing uncertainty into the instructional process. Faculty might avoid this valuable approach to…