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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

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

Why would anyone think of teaching and learning mathematics directly from primary historical sources? We aim to answer this question while sharing our own experiences, and those of our students across several decades. We will first describe the evolution of our motivation for teaching with primary sources, and our current view of the advantages…

Descriptors: Mathematics Instruction, Teaching Methods, Primary Sources, Case Studies

Wasserman, Nicholas H.; Galarza, Patrick – Investigations in Mathematics Learning, 2019

Combination problems are a cornerstone of combinatorics courses, but little research has been done examining the ways that students perceive and differentiate among different combination problems. In this article, we investigate how mathematics education students (n = 18) in a discrete mathematics course view two categorically different…

Descriptors: Outcomes of Education, Computation, Problem Solving, Mathematical Concepts

Muldoon Brown, Tricia; Kahn, Eric B. – PRIMUS, 2015

This paper presents an extended project that offers, through American football, an application of concepts from enumerative combinatorics and an introduction to proofs course. The questions in this paper and subsequent details concerning equivalence relations and counting techniques can be used to reinforce these new topics to students in such a…

Descriptors: Team Sports, Athletics, Mathematics Instruction, Undergraduate Study

Dobbs, David E. – International Journal of Mathematical Education in Science and Technology, 2013

A direct method is given for solving first-order linear recurrences with constant coefficients. The limiting value of that solution is studied as "n to infinity." This classroom note could serve as enrichment material for the typical introductory course on discrete mathematics that follows a calculus course.

Descriptors: Mathematics, Mathematical Formulas, Introductory Courses, Mathematics Instruction

Lubis, Asrin; Nasution, Andrea Arifsyah – International Education Studies, 2017

Mathematical reasoning in logical context has now received much attention in the mathematics curriculum documents of many countries, including Indonesia. In Indonesia, students start formally learning about logic when they pursue to senior-high school. Before, they previously have many experiences to deal with logic, but the earlier assignments do…

Descriptors: Mathematics Instruction, Higher Education, Mathematical Logic, Foreign Countries

Jerome, Lawrence – International Journal for Technology in Mathematics Education, 2012

Discrete Mathematics instructors and students have long been struggling with various labelling and scanning algorithms for solving many important problems. This paper shows how to solve a wide variety of Discrete Mathematics and OR problems using assignment matrices and linear programming, specifically using Excel Solvers although the same…

Descriptors: Mathematical Applications, Computer Software, Computer Assisted Instruction, Mathematics Instruction

Hurdle, Zach; Warshauer, Max; White, Alex – Mathematics Teacher, 2016

The desire to persuade students to avoid strictly memorizing formulas is a recurring theme throughout discussions of curriculum and problem solving. In combinatorics, a branch of discrete mathematics, problems can be easy to write--identify a few categories, add a few restrictions, specify an outcome--yet extremely challenging to solve. A lesson…

Descriptors: Mathematics Instruction, Mathematics Activities, Mathematical Formulas, Computation

Paterson, Judy; Sneddon, Jamie – International Journal of Mathematical Education in Science and Technology, 2011

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…

Descriptors: Curriculum Development, Mathematics Instruction, Mathematics Education, Mathematics Curriculum

Ellington, Roni; Wachira, James; Nkwanta, Asamoah – CBE - Life Sciences Education, 2010

The focus of this Research Experience for Undergraduates (REU) project was on RNA secondary structure prediction by using a lattice walk approach. The lattice walk approach is a combinatorial and computational biology method used to enumerate possible secondary structures and predict RNA secondary structure from RNA sequences. The method uses…

Descriptors: Genetics, Prediction, Microbiology, Epilepsy

Jordán, Cristina; Magreñán, Ángel Alberto; Orcos, Lara – Education Sciences, 2019

The changes in our society in recent years and the consequent idiosyncrasy of young people demand new teaching methodologies. The methodology known as flip teaching, in which pupils study the subject before the class experience, using the material given by the teacher, makes it possible to turn the classroom into a place to solve different…

Descriptors: Advanced Courses, Mathematics Instruction, Blended Learning, Video Technology

Reiser, Elana – Journal of the Scholarship of Teaching and Learning, 2017

Two sections of a college discrete mathematics class were taught using cooperative learning techniques throughout the semester. The 33 students attending these sections were randomly assigned into groups of three. Their final examination consisted of an individual and group blended examination where students worked in their groups and discussed…

Descriptors: Models, Academic Achievement, Cooperative Learning, Questionnaires

Robson, Daphne; Kennedy, Dave – Mathematics Education Research Group of Australasia, 2013

Tablet PCs were used interactively in a Discrete Mathematics course in the first year of a Computing degree. The main benefit expected was an improvement in student engagement, but peer instruction was very evident and the ability to display many student answers led to very effective and immediate feedback, particularly when incorrect answers were…

Descriptors: Educational Technology, Technology Uses in Education, Handheld Devices, Telecommunications

Snapp, Robert R.; Neumann, Maureen D. – Mathematics Teaching in the Middle School, 2015

The rapid growth of digital technology, including the worldwide adoption of mobile and embedded computers, places new demands on K-grade 12 educators and their students. Young people should have an opportunity to learn the technical knowledge of computer science (e.g., computer programming, mathematical logic, and discrete mathematics) in order to…

Descriptors: Educational Technology, Technology Uses in Education, Learning Activities, Middle School Students

Poon, Kin-Keung; Shiu, Wai-Chee – International Journal of Mathematical Education in Science and Technology, 2008

In this note, we will focus on several applications on the Dirichlet's box principle in Discrete Mathematics lesson and number theory lesson. In addition, the main result is an innovative game on a triangular board developed by the authors. The game has been used in teaching and learning mathematics in Discrete Mathematics and some high schools in…

Descriptors: Foreign Countries, Number Concepts, Mathematics Instruction, Mathematical Concepts