In this article, the authors talk about variation and how variation between measurements may be reduced if sampling is not random. They also talk about replication and its variants. A replicate is a repeated measurement from the same experimental unit. An experimental unit is the smallest part of an experiment or a study that can be subject to a…

From the beginning of the school year, the author observed an interesting phenomenon in Ms. James' 3rd grade class: Students would eagerly volunteer to share their ideas by raising their hands or calling out to the teacher, but when they began to share, they would quickly abandon their talk and announce, "I forgot." As the author heard…

In this article, the authors discuss how acknowledging and embracing that the sample space is one of many ways to partition the set of all possible outcomes impacts the teaching and learning of sample space and probability. After recounting an exchange surrounding two viable answers to a probability question, the authors detail how developments…

To maximize the effectiveness of instructional explanations, they should be tailored to an individual learner. However, instructors are often not able to collect diagnostically relevant information about a learner to individualize their explanations. This is particularly true in computer-mediated settings where it is more difficult to thoroughly…