This paper describes LOGAX, an interactive tutoring tool that gives hints and feedback to a student who stepwise constructs a Hilbert-style axiomatic proof in propositional logic. LOGAX generates proofs to calculate hints and feedback. We compare these generated proofs with expert proofs and student solutions, and conclude that the quality of the…

This paper presents a qualitative study developed with a group of 16-year-old students who were asked to estimate large numbers of elements on a bounded surface. Taking the realistic mathematics education framework as a reference, we presented the students with an activity sequence comprised of four different tasks--each one with a different…

The contribution aims at subject-specific analyses of student solutions of an exercise from an electrical engineering signal theory course. The basis for the analyses is provided by praxeological studies (in the sense of the Anthropological Theory of Didactics) and the identification of two institutional mathematical discourses, one related to…

Scholars who conduct process tracing often face the problem of missing data. The inability to document key steps in their causal chains makes it difficult to validate theoretical models. In this article, we conceptualize "missingness" as it relates to process tracing, describe different scenarios in which it is pervasive, and present…

Visual programming environments are popular instruments in teaching Computational Thinking (CT) in schools today. Applying Sense-Reason-Act (SRA) programming can influence the development of computational thinking when forcing pupils to anticipate the unforeseen in their computer programs. SRA-programming originates from the programming of…

Between 2010 and 2019, ETR&D experienced increased publication of a specific type of research that does not provide useful knowledge to the instructional design field. This type of research is research to prove, which entails pitting an incumbent, "traditional" learning experience against a new, innovative learning experience that…

The American Camp Association and Association of Camp Nursing collaborated for the creation of the Healthy Camps initiatives from 2006-2020. During that time, the initiative developed a holistic approach to a healthy camp framework by examining and addressing a range of challenges experienced by camp programs in the United States. Camper and staff…

The current work suggests that two factors conspire to make vocabulary learning challenging for youth on the Autism spectrum: (1) a tendency to focus on specifics rather than on relationships among entities and (2) the fact that most words are associated with distinct but related meanings (e.g. baseball "cap," pen "cap," bottle…

In this study we aimed to understand teaching mathematics through problem posing based on an analysis of 22 teaching cases. Teaching mathematics through problem posing starts with problem-posing tasks. This study provides not only specific examples of problem-posing tasks used in classrooms but also related task variables to consider when…

COVID-19 has crowned a number of other disasters (wildfires in Australia, Desert Locusts in Kenya, an imminent WWIII merging Iran and the US), causing panic to click into place and horror to become our global predicament, making us realize that we live in the illusion of the permanence of things, of mastery, and of immortality. People's turning to…

To be able to solve complex information problems in a digital environment is a key 21st century skill. Technology users usually expect to achieve their goals in a fast and accurate way. However, the actual relationship between time-on-task and task outcome is currently not well understood. We analyzed data from a large-scale international study in…

The ability to selectively focus on and remember important information, referred to as value-directed remembering, may be crucial for effective memory functioning. In the present study, we investigated the relationships between metacognitive monitoring and control accuracy, selectivity for valuable information, and fluid intelligence. Mediation…

Teacher-research clubs are an effective and infectious way to solve problems and fuel passion. Educators Sally Donnelly and Megan McCormick discuss how their do-it-yourself teacher research club helped their colleagues gain perspective on problems of practice and grew to be an influential part of their school district.

Functional fixedness involves difficulty with conceptualizing creative object uses. When it obstructs problem-solving, individuals must reframe their approach. We examined how different training techniques--chunk decomposition (i.e., considering an object's basic parts and physical properties) and constraint relaxation (i.e., considering an…

Studies of instructional design (ID) practices do not always highlight the inner workings of the research method and can leave readers without a clear understanding of how the study was actually carried out, particularly if it encompassed some complexity in process. As a team of researchers with different levels of scholarly expertise and…