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What Works Clearinghouse Rating

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

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

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

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

Robeva, Raina; Davies, Robin; Hodge, Terrell; Enyedi, Alexander – CBE - Life Sciences Education, 2010

We describe an ongoing collaborative curriculum materials development project between Sweet Briar College and Western Michigan University, with support from the National Science Foundation. We present a collection of modules under development that can be used in existing mathematics and biology courses, and we address a critical national need to…

Descriptors: Molecular Biology, Probability, Calculus, Algebra

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

What Works Clearinghouse, 2011

The "University of Chicago School Mathematics Project ("UCSMP") 6-12 Curriculum" is a series of yearlong courses--(1) Transition Mathematics; (2) Algebra; (3) Geometry; (4) Advanced Algebra; (5) Functions, Statistics, and Trigonometry; and (6) Precalculus and Discrete Mathematics--emphasizing problem solving, real-world…

Descriptors: Secondary School Mathematics, Educational Research, Instructional Effectiveness, High School Students

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

Kohaupt, Ludwig – Cogent Education, 2015

The discrete Fourier series is a valuable tool developed and used by mathematicians and engineers alike. One of the most prominent applications is signal processing. Usually, it is important that the signals be transmitted fast, for example, when transmitting images over large distances such as between the moon and the earth or when generating…

Descriptors: Engineering Education, Mathematics Education, Algebra, Teaching Methods

Shi, Yixun – International Journal of Mathematical Education in Science and Technology, 2009

Based on a sequence of points and a particular linear transformation generalized from this sequence, two recent papers (E. Mauch and Y. Shi, "Using a sequence of number pairs as an example in teaching mathematics". Math. Comput. Educ., 39 (2005), pp. 198-205; Y. Shi, "Case study projects for college mathematics courses based on a particular…

Descriptors: College Mathematics, Student Interests, Algebra, Mathematics Instruction

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

Love, Tanzy; Keinert, Fritz; Shelley, Mack – Journal of STEM Education: Innovations and Research, 2006

The Department of Mathematics at Iowa State University teaches a freshman-level Discrete Mathematics course with total enrollment of about 1,800 students per year. The traditional format includes large lectures, with about 150 students each, taught by faculty and temporary instructors in two class sessions per week and recitation sections, with…

Descriptors: Mathematics Instruction, College Mathematics, Lecture Method, Web Based Instruction

Kunina-Habenicht, Olga; Rupp, André A.; Wilhelm, Oliver – International Journal of Testing, 2017

Diagnostic classification models (DCMs) hold great potential for applications in summative and formative assessment by providing discrete multivariate proficiency scores that yield statistically driven classifications of students. Using data from a newly developed diagnostic arithmetic assessment that was administered to 2032 fourth-grade students…

Descriptors: Grade 4, Foreign Countries, Classification, Mathematics Tests

Zheng, Guoguo; Fancsali, Stephen E.; Ritter, Steven; Berman, Susan R. – Journal of Learning Analytics, 2019

If we wish to embed assessment for accountability within instruction, we need to better understand the relative contribution of different types of learner data to statistical models that predict scores and discrete achievement levels on assessments used for accountability purposes. The present work scales up and extends predictive models of math…

Descriptors: Formative Evaluation, Predictor Variables, Summative Evaluation, Scores