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de Voogt, Alex; Rougetet, Lisa; Epstein, Nathan – Mathematics Teacher, 2018

Some research has suggested the use of mancala games in mathematics education. The immediate concepts associated with playing mancala games have been limited to counting as well as addition and subtraction, so the potential of mancala has remained limited to primary school education. This proposed adaptation of a mancala game allows for teaching…

Descriptors: Educational Games, Mathematics Instruction, Secondary School Mathematics, High Schools

Frantzeskaki, Konstantina; Kafoussi, Sonia; Fessakis, Georgios – International Journal for Technology in Mathematics Education, 2020

In recent years, the learning and teaching of combinatorics presents particular educational research interest from the primary up to higher education levels. The combinatorial problems constitute a valuable opportunity for mathematical exploration, as combinatorics is a branch of mathematics with many applications, providing a complex network of…

Descriptors: Mathematics Instruction, Preschool Children, Educational Technology, Technology Uses in Education

Lockwood, Elise; Reed, Zackery; Caughman, John S. – International Journal of Research in Undergraduate Mathematics Education, 2017

The multiplication principle serves as a cornerstone in enumerative combinatorics. The principle underpins many basic counting formulas and provides students with a critical element of combinatorial justification. Given its importance, the way in which it is presented in textbooks is surprisingly varied. In this paper, we analyze a number of…

Descriptors: Multiplication, Textbooks, Mathematics Instruction, Mathematical Concepts

Peer reviewed

Chinn, Phyllis; And Others – Primus, 1992

Presents examples of questions and answers arising from a hands-on and exploratory approach to discrete mathematics using cuisenaire rods. Combinatorial questions about trains formed of cuisenaire rods provide the setting for discovering numerical patterns by experimentation and organizing the results using induction and successive differences.…

Descriptors: Discovery Learning, Elementary School Teachers, Higher Education, Instructional Materials

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

Horvath, Eszter K.; Mader, Attila; Tepavcevic, Andreja – College Mathematics Journal, 2011

The notion of an island has surfaced in recent algebra and coding theory research. Discrete versions provide interesting combinatorial problems. This paper presents the one-dimensional case with finitely many heights, a topic convenient for student research.

Descriptors: Mathematics Instruction, Mathematical Concepts, Algebra, College Mathematics

Zimmerman, Seth – International Journal of Mathematical Education in Science and Technology, 2010

This article first notes the misinterpretation of a common thought experiment, and the misleading comment that "systems tend to flow from less probable to more probable macrostates". It analyses the experiment, generalizes it and introduces a new tool of investigation, the simplectic structure. A time-symmetric model is built upon this structure,…

Descriptors: Physics, Scientific Concepts, Misconceptions, Concept Teaching

Kenney, Margaret J., Ed.; Hirsch, Christian R., Ed. – 1991

This yearbook provides the mathematics education community with specific perceptions about discrete mathematics concerning its importance, its composition at various grade levels, and ideas about how to teach it. Many practical suggestions with respect to the implementation of a discrete mathematics school program are included. A unifying thread…

Descriptors: Algorithms, Computer Uses in Education, Elementary Secondary Education, Graphs

Nitinawarat, Sirin – ProQuest LLC, 2010

This dissertation deals with a multiterminal source model for secret key generation by multiple network terminals with prior and privileged access to a set of correlated signals complemented by public discussion among themselves. Emphasis is placed on a characterization of secret key capacity, i.e., the largest rate of an achievable secret key,…

Descriptors: Information Theory, Telecommunications, Mathematics, Computer Networks

Peer reviewed

Trotter, William T. – College Mathematics Journal, 1989

Presents an example from the combinatorial theory of partially ordered sets. Discusses algorithms of on-line antichain partitioning problems, a topic in discrete optimization. (YP)

Descriptors: Algorithms, College Mathematics, Mathematical Enrichment, Mathematical Formulas

Peer reviewed

Schattschneider, Doris – College Mathematics Journal, 1991

Provided are examples from many domains of mathematics that illustrate the Fubini Principle in its discrete version: the value of a summation over a rectangular array is independent of the order of summation. Included are: counting using partitions as in proof by pictures, combinatorial arguments, indirect counting as in the inclusion-exclusion…

Descriptors: College Mathematics, Computation, Higher Education, Learning Activities

Skurnick, Ronald – Mathematics and Computer Education, 2005

The subject matter presented in this article can be used in the classroom to enrich the learning experience of students taking a course that includes a unit on combinatorics, such as discrete mathematics, graph theory, or probability. In order to provide such students with the background needed to appreciate the significance of the generalization…

Descriptors: Geometric Concepts, Probability, Learning Experience, Generalization