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Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A. – International Journal of Mathematical Education in Science and Technology, 2017

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…

Descriptors: Algebra, Mathematics Instruction, Undergraduate Students, Computer Uses in Education

Chukhnov, Anton; Maytarattanakhon, Athit; Posov, Ilya; Pozdniakov, Sergei – Informatics in Education, 2020

The paper discusses a certain type of competitions based on distance interaction of a participant with simulation models of concepts from discrete mathematics and computer science. One of them is the "Construct, Test, Explore" (CTE) competition, developed by the authors, the other is the Olympiad in Discrete Mathematics and Theoretical…

Descriptors: Graphs, Computer Simulation, Mathematics, Computer Science

Barnett, Janet Heine; Bezhanishvili, Guram; Lodder, Jerry; Pengelley, David – PRIMUS, 2016

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.

Descriptors: Mathematics Instruction, Primary Sources, Introductory Courses, Student Projects

Linhart, Jean Marie – PRIMUS, 2020

Math courses graded on homework, tests, and a final examination can result in students putting together enough partial credit to pass the class without gaining a reasonable mastery of the course content. Mastery-based testing can help to address this by allowing the instructor to align course grades with mastery of the learning objectives for the…

Descriptors: Testing, Mathematics Instruction, Grading, Mathematics Tests

Melkonian, Vardges – PRIMUS, 2019

This paper discusses a game that can be used for introducing the binary representation of integers in an interactive and fun environment. The game is introduced in the way it is presented in an undergraduate Discrete Mathematics class. Variations of the game are discussed, particularly its extension to base-three representation of integers. It is…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Educational Games

Ivanov, O. A.; Ivanova, V. V.; Saltan, A. A. – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we report on the results of an experiment in teaching discrete mathematics to students majoring in business informatics. We supplemented our problem-based approach to teaching the course with a set of Likert-scale surveys or questionnaires that helped improve the students' performance. On the one hand, these surveys gave us feedback…

Descriptors: Likert Scales, Questionnaires, Teaching Methods, Mathematics Instruction

Habala, Peter; Demlova, Marie – Teaching Mathematics and Its Applications, 2019

Arguably the largest obstacle freshmen face in their mathematics courses is their unfamiliarity with the language of mathematics. Addressing this problem right at the start seems like a sensible strategy, as comprehension of mathematical communication helps students in all mathematics courses they will take. In this paper we discuss general…

Descriptors: Mathematics Instruction, Teaching Methods, Vocabulary Development, Barriers

Fridenfalk, Mikael – International Association for Development of the Information Society, 2013

A system was developed for automatic generation of problems and solutions for examinations in a university distance course in discrete mathematics and tested in a pilot experiment involving 200 students. Considering the success of such systems in the past, particularly including automatic assessment, it should not take long before such systems are…

Descriptors: Automation, College Mathematics, Item Banks, Test Items

Urness, Timothy – PRIMUS, 2010

This article proposes a discrete mathematics course in which games from "The Price Is Right" are used to engage students in a deeper, practical study of discrete mathematics. The games themselves are not the focus of the course; rather, the mathematical principles of the games give motivation for the concepts being taught. The game examples are…

Descriptors: Mathematics Education, Teaching Methods, Educational Games, Mathematical Concepts

Oxley, Alan – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2010

The article gives ideas that lecturers of undergraduate Discrete Mathematics courses can use in order to make the subject more interesting for students and encourage them to undertake further studies in the subject. It is possible to teach Discrete Mathematics with little or no reference to computing. However, students are more likely to be…

Descriptors: Artificial Intelligence, Computer Science Education, Mathematics, College Faculty

Coggins, Porter E., III; Glatzer, Tim – PRIMUS, 2020

We present an algorithm for a matrix-based Enigma-type encoder based on a variation of the Hill Cipher as an application of 2 × 2 matrices. In particular, students will use vector addition and 2 × 2 matrix multiplication by column vectors to simulate a matrix version of the German Enigma Encoding Machine as a basic example of cryptography. The…

Descriptors: Mathematics Instruction, Matrices, Technology, Addition

Middleton, James A.; Toncheff, Mona; Haag, Susan – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011

Thirty-five teachers teaching advanced topics in high school mathematics were engaged in a year-long intensive professional development project intended to increase their Mathematical Knowledge for Teaching in the area of discrete mathematics. Project activities embodied a models and modeling perspective on pedagogy and learning. Results showed…

Descriptors: Mathematics Instruction, Teaching Methods, Faculty Development, Pedagogical Content Knowledge

Ruch, David – PRIMUS, 2014

This article discusses the creation of a student project about linear difference equations using primary sources. Early 18th-century developments in the area are outlined, focusing on efforts by Abraham De Moivre (1667-1754) and Daniel Bernoulli (1700-1782). It is explained how primary sources from these authors can be used to cover material…

Descriptors: Student Projects, Equations (Mathematics), Primary Sources, Mathematics

Thompson, Derek – PRIMUS, 2015

The primary goal of this paper is to highlight the possibilities and benefits of incorporating games into college mathematics classrooms. This is illustrated through the personal success of using the board game "The Resistance" to teach validity and soundness of arguments in a discrete mathematics course. Along the way, we will give some…

Descriptors: Mathematics Instruction, Teaching Methods, Educational Games, Mathematical Concepts

Martin, Nancy L. – Information Systems Education Journal, 2015

This paper describes the development of a hybrid introductory course for students in their first or second year of an information systems technologies degree program at a large Midwestern university. The course combines topics from discrete mathematics and programming logic and design, a unique twist on most introductory courses. The objective of…

Descriptors: Mathematics Instruction, Programming, Introductory Courses, Information Systems