In this study, it was aimed to examine the probability problems which were posed based on continuous sample space and discrete sample space. Participants of the study consisted of 48 university students selected by using the convenience sampling method. Eight tasks related to continuous and discrete variables were designed by the researcher. Eight…

This theoretical paper sets forth two "aspects of predication," which describe how students perceive the relationship between a property and an object. We argue these are consequential for how students make sense of discrete mathematics proofs related to the properties and how they construct a logical structure. These aspects of…

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…

Most rockets convert the energy stored in their propellant mass into the mechanical energy required to expel it as exhaust. The 'rocket equation', which describes how a rocket's speed changes with mass, is usually derived by assuming that this fuel is expelled at a constant relative velocity. However, this is a poor assumption for cases where the…

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…

In this paper, we discuss examples of assignments for a course in discrete mathematics for undergraduate students majoring in business informatics. We consider several problems with computer-based solutions and discuss general strategies for using computers in teaching mathematics and its applications. In order to evaluate the effectiveness of our…

This paper details the process and results of redesigning an introductory undergraduate World Geography course, from a survey of world regions to a project-based course. Through two student projects, one tracing commodities and another eliciting migration experiences, the course renders the world not as the sum of discrete regions but as the…

A discrete model of invasion by subversive alien bodysnatchers is constructed and analysed numerically as a proposed undergraduate project. Several extensions of the model are demonstrated, including a spatial system of ten planets arranged on a one-dimensional lattice, and we discuss some of the practical considerations that arise when…

Unlike the traditional multiple-choice (MC) format, the discrete-option multiple-choice (DOMC) format does not necessarily reveal all answer options to an examinee. The purpose of this study was to determine whether the reduced exposure of item content affects test security. We conducted an experiment in which participants were allowed to view…

Objective: The study examined which snack factors and nutritional ingredients influence college students' snack choices using a discrete choice experiment (DCE). Participants: In November 2016, a total of 1,624 undergraduate students participated in the study. Methods: Two DCEs were constructed using a unique approach of block fractional factorial…

Discrete-trial teaching is an effective teaching procedure that must be implemented with high integrity to produce optimal learning. Behavioral Skills Training (BST) has proven effective for staff training; however, BST is time and labor intensive. Computer-based instruction (CBI) programs may provide a more efficient and cost-effective…

The efficacy and efficiency of telehealth and in-person training were compared while teaching seven undergraduate students to implement components of discrete trial training. A multiple-baseline design across skills with elements of multiple probe and delayed multiple baseline combined with an alternating-treatments design was used to evaluate the…

This study examined 57 learners' emotions (i.e., joy, anger, confusion, frustration) as they engaged with scientific content while learning about microbiology with Crystal Island, a game-based learning environment (GBLE). Measures of learners' prior knowledge, in-game text comprehension, facial expressions of emotion, and posttest reading…

Two broad approaches characterize the type of evidence that mediates recognition memory: discrete state and continuous. Discrete-state models posit a thresholded memory process that provides accurate information about an item (it is detected) or, failing that, no mnemonic information about the item. Continuous models, in contrast, posit the…

We describe teaching an introductory discrete mathematics course entirely from student projects based on primary historical sources. We present case studies of four projects that cover the content of a one-semester course, and mention various other courses that we have taught with primary source projects.