We present a detailed description of a Cryptography and Computer Security course that has been offered at Knox College for the last 15 years. While the course is roughly divided into two sections, Cryptology and Computer Security, our emphasis here is on the Cryptology section. The course puts the cryptologic material into its historical context…

Aim/Purpose: This study seeks to present a learning model of discrete mathematics elements, elucidate the content of teaching, and validate the effectiveness of this learning in a digital education context. Background: Teaching discrete mathematics in the realm of digital education poses challenges, particularly in crafting the optimal model,…

In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both. In this paper, we show how each approach can be improved by incorporating an aspect of the other, based on a little known synthesis…

Behavioral skills training (BST) is an evidence-based approach for training individuals to implement discrete-trial teaching procedures. Despite the effectiveness of this approach, implementing BST can be time and resource intensive, which may interfere with a clinical organization's adoption of this training format. We conducted a scoping review…

The purpose of this study was to elicit preferences for the 'format' and 'content' of tobacco treatment among college student smokers, using an online discrete choice experiment (DCE) survey. A DCE survey, supplemented with a think-aloud method, was conducted among 54 college students who smoked combustible cigarettes and/or e-cigarettes.…

Procedural fidelity is the extent to which an intervention is implemented as designed and is an important component of research and practice. There are multiple ways to measure procedural fidelity, and few studies have explored how procedural fidelity varies based on the method of measurement. The current study compared adherence to discrete-trial…

Elementary students demonstrate conflicts when measuring with rulers as well as measuring with discrete units. Their conflicts often lie in their focus on counting tick marks or focusing on the endpoint of objects on rulers or ignoring spaces with discrete units. In this study, we also investigated another area of conflict: students' conceptions…

This study seeks to identify Knowledge Communities (KC) in the field of International Education (IE). Kuhn's concept of research paradigms (2012), Crane's theory of scientific communities (1988), and Linkvist's theory of knowledge communities (2005) provide theoretical basis of this study. Using a novel, mixed methodology -- bibliometrics and…

Mounting empirical support for early intensive behavioral intervention (EIBI) has increased demand for early intervention services for children diagnosed with autism spectrum disorder (ASD), which may include a variety of components such as discrete-trial instruction (DTI) or natural environment teaching (NET). Many caregivers are now learning…

This applied dissertation was designed to evaluate alternative and effective forms of instruction for young students with autism spectrum disorder. The researcher examined and compared the difference in the instructional formats of 1:1 discrete trial teaching and small-group discrete trial teaching. Targets were chosen in receptive language and…

Discrete trial teaching (DTT) is a common teaching methodology used within intervention for autistics/individuals diagnosed with autism spectrum disorder (ASD). Practice recommendations related to using DTT for receptive language instruction includes the desired size of the array of stimuli to be presented. Some recommendations include ensuring…

Scale validation is vital to psychological research because it ensures that scores from measurement scales represent the intended construct. Factor analysis fit indices are commonly used to provide quantitative evidence that a proposed factor structure is plausible. However, there is mismatch between guidelines for evaluating fit of factor models…

Jordan canonical form (JCF) is one of the most important, and useful, concepts in linear algebra. Mathematics, physics, biology, science and engineering undergraduates often find the first application of real JCF in the discipline of differential equations (continuous models) to solving systems of differential equations. In this work, we apply…

Recommendations for achieving generalized instructional outcomes often overlook the capacity for generative learning for most verbally competent humans. Four children (ages 5-8) participated in this project. In Study 1, we provided decontextualized discrete trial teaching to establish arbitrary relations between colors, pictures of characters, and…

Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…