Frequency of behaviors or amounts of variables of interest are essential topics in many surveys. The use of heuristics might cause rounded answers, resulting in the increased occurrence of end-digits (called heaping or digit-preference). For web surveys (or CASI), we propose using a conditional prompt as input validation if digits indicating…

Introduction and Methods: We do not have an accurate count of the number of teachers of students with visual impairments working in the field, and it is a difficult number to estimate. As part of a national survey, states were contacted to estimate how many teachers of students with visual impairments are working in the United States and compared…

As computers have become commonplace in everyday life, educators have begun to shift focus from "working" with computers (computer literacy) to "thinking" with computers (computational thinking). This article describes the progression of computational thinking (CT) from a historical perspective. This paper will first review the…

Every application of integration by parts can be done with a tabular method. The trick is to identify and consider each new integral in the table before deciding how to proceed. This paper supplements a classic introduction to integration by parts with a particular tabular method called Row Integration by Parts (RIP). Approaches to tabular methods…

Linear panel models featuring unit and time fixed effects appear in many areas of empirical economics. An active literature studies the interpretation of the ordinary least squares estimator of the model, commonly called the two-way fixed effects (TWFE) estimator, in the presence of unmodeled coefficient heterogeneity. We illustrate some…

Benzoin, an [alpha]-hydroxy ketone, is stereoselectively reduced by sodium borohydride to yield hydrobenzoin, the stereochemistry of which is determined by acetalization and analysis of the derivative by NMR spectroscopy. This classical experiment has been enhanced by modern spectroscopic and computational analysis to enable students to…

Intelligent tutoring system (ITS) provides learners with step-by-step problem-solving support through scaffolding. Most ITSs have been developed in the USA and incorporate American instructional strategies. How do non-American students perceive and use ITS with different native problem-solving strategies? The present study compares Stoich Tutor,…

To understand the ways that manipulatives might support changes in students' reasoning about algebraic generalizations, a constructivist teaching experiment was conducted with two sixth-grade students. The students interpreted numerical situations with units of one and could construct units of units in mental activity. Initially, the students'…

Background and objectives: An early understanding of numerosity is crucial to developing proficiency in arithmetic, and rapid pattern recognition via subitizing is key in this process. The training app "LORE" specifically targets and cultivates pattern recognition skills from the beginning of formal schooling. This study investigated…

The federal government is the largest source of academic research and development (R&D) funding in the United States, providing funds through more than two dozen federal agencies. U.S. colleges and universities, often referred to as institutions of higher education (IHEs), play a role in the U.S. R&D ecosystem and in supporting American…

Although proponents of digital game-based learning (DGBL) argue that educational games engage students and afford better learning outcomes, the impact of specific game elements on computational thinking (CT) outcomes and motivation remains unclear. Research suggests that different game elements in DGBL may elicit varying levels of motivation and…

In this piece I outline the history of the university in terms of a shift from a place concerned with the contemplation of the unknowable and the infinite to a machine focused on instrumental rationality, calculation, and computation. Reading this history through Lyotard's work on the post-modern condition and the emergence of the knowledge…

Computational thinking is an important skill applicable to multiple disciplines and can be difficult to teach due to the stress and frustration novice learners feel from cognitively challenging learning activities. While existing theories like Zone of Proximal Development, Flow Theory, and Zone of Proximal Flow suggest that an ideal mode of…

This paper documents the Making CT researcher-practitioner partnership, designed to support in-service elementary teachers in understanding and integrating computational thinking into their disciplinary teaching. Drawing from this collaborative work with teachers, over a sustained time, we describe the shifts in teachers' integration of CT into…

There have been several attempts to conceptualize and operationalize pedagogical content knowledge (PCK) in the context of teachers' professional competencies. A recent and popular model is the Refined Consensus Model (RCM), which proposes a framework of dispositional competencies (personal PCK--pPCK) that influence more action-related…