We propose a cognitive-psychological model of linguistic intuitions about copredication statements. In copredication statements, like "The book is heavy and informative," the nominal denotes two ontologically distinct entities at the same time. This has been considered a problem for standard truth-conditional semantics. In this paper, we…

Reading comprehension is the goal of reading, and making inferences is vital. Authors usually expect readers to make multiple types of inferences, including anaphoric, background knowledge, predictive, and retrospective. Common core assessments include all of these, yet instructional materials focus mostly on only one type, retrospective. This…

We present a question bank consisting of over 250 multiple-choice and true--false questions covering a broad range of material typically taught in an introductory undergraduate course in numerical analysis or computational science. The questions are ideal for polling students during lectures by means of a student response system that uses…

Intelligent behavior of adaptive educational systems is based on student models. Most research in student modeling focuses on student learning (acquisition of skills). We focus on prior knowledge, which gets much less attention in modeling and yet can be highly varied and have important consequences for the use of educational systems. We describe…

We propose a theory of education curricula as horizontally differentiated by their paces. The pace of a curriculum and the preparedness of a student jointly determine the match quality of the curriculum for this student, so different students derive different benefits from learning under the same curriculum. Furthermore, a change in the curricular…

"Probability is a difficult concept to teach, because children and adults find it counterintuitive." This is impetus to consider the detailed planning of a set of lessons with a "mixed", in many senses, group of fourth graders. Can the use of prior experience, and the knowledge associated with that experience, make probability a concept that is…

Too often, teachers scratch their heads and ask, "What were my students thinking?" then answer, "I don't want to know." But teachers should want to know, and students should question their own thinking, as well. Critical thinking involves not just problem solving, creativity, analysis, and synthesis but also self-awareness of learning and learning…

The prevalence of prediction in grade-level expectations in mathematics curriculum standards signifies the importance of the role prediction plays in the teaching and learning of mathematics. In this article, we discuss benefits of using prediction in mathematics classrooms: (1) students' prediction can reveal their conceptions, (2) prediction…

Most information advisors receive about first-year advisees pertains to students' academic achievement and high school courses. To assist students effectively with the transition to college, advisors need additional information. We describe a collaborative process used to develop a pre-matriculation, academic motivation instrument that provides…

This article discusses different approaches to reading instruction for EFL learners based on theoretical frameworks. The author starts with the bottom-up approach to reading instruction, and briefly explains phonics and behaviorist ideas that inform this instructional approach. The author then explains the top-down approach and the new cognitive…