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Narli, Serkan; Baser, Nes'e – Online Submission, 2010

To explore the effects of constructivist learning environment on prospective teachers' opinions about "mathematics, department of mathematics, discrete mathematics, countable and uncountable infinity" taught under the subject of Cantorian Set Theory in discrete mathematics class, 60 first-year students in the Division of Mathematics…

Descriptors: Constructivism (Learning), Experimental Groups, Control Groups, Mathematics 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

Hart, Eric W.; And Others – Mathematics Teacher, 1990

Discrete mathematics are defined briefly. A course in discrete mathematics for high school students and teaching discrete mathematics in grades 7 and 8 including finite differences, recursion, and graph theory are discussed. (CW)

Descriptors: Academic Standards, Course Descriptions, Educational Improvement, Junior High Schools

Wroughton, Jacqueline; Nolan, Joseph – Journal of Statistics Education, 2012

Understanding counting rules is challenging for students; in particular, they struggle with determining when and how to implement combinations, permutations, and the multiplication rule as tools for counting large sets and computing probability. We present an activity--using ideas from the games of poker and pinochle--designed to help students…

Descriptors: Probability, Mathematics Instruction, Mathematics Skills, Teaching Methods

Bakoev, Valentin P. – Informatics in Education, 2010

The topic "Recurrence relations" and its place in teaching students of Informatics is discussed in this paper. We represent many arguments about the importance, the necessity and the benefit of studying this subject by Informatics students. They are based on investigation of some fundamental books and textbooks on Discrete Mathematics,…

Descriptors: Information Science, Teaching Methods, Textbooks, Problem Solving

Alsardary, Salar; Pontiggia, Laura; Hamid, Mohammed; Blumberg, Phyllis – PRIMUS, 2011

This study presents a primary trait analysis of a learner-centered, discrete mathematics course based on student-to-student instruction. The authors developed a scoring rubric for the primary traits: conceptual knowledge, procedural knowledge, application of understanding, and mathematical communication skills. Eleven students took an exam…

Descriptors: Mathematics Education, Course Objectives, Scoring Rubrics, Communication Skills

Powers, Robert A.; Allison, Dean E.; Grassl, Richard M. – International Journal for Technology in Mathematics Education, 2005

This study investigated the impact of the TI-92 handheld Computer Algebra System (CAS) on student achievement in a discrete mathematics course. Specifically, the researchers examined the differences between a CAS section and a control section of discrete mathematics on students' in-class examinations. Additionally, they analysed student approaches…

Descriptors: Control Groups, Mathematics Education, Test Items, Investigations

Caverly, Gregg – ProQuest LLC, 2017

A mixed methods study was conducted to measure the effectiveness of a flipped classroom in a high school discrete mathematics course. In the flipped classroom, students watched videos of the teacher's lesson for homework while completing problems during class. Two sections of the course were involved in the study, with one group receiving the…

Descriptors: Leadership Role, Classroom Techniques, High Schools, Mathematics Instruction

Peer reviewed

Hart, Eric W. – Mathematics Teacher, 1985

Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)

Descriptors: Algorithms, College Mathematics, Higher Education, Mathematics Curriculum

Peer reviewed

Kenney, Margaret J. – Journal of Education, 1996

Defines discrete mathematics as the mathematics necessary to effect reasoned decision making in finite situations and explains how its use supports the current view of mathematics education. Discrete mathematics can be used by curriculum developers to improve the curriculum for students of all ages and abilities. (SLD)

Descriptors: Curriculum Development, Decision Making, Educational Change, Elementary Secondary Education

Turton, Roger W. – Mathematics Teacher, 2007

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

Descriptors: Probability, Algebra, Problem Solving, Monte Carlo Methods

Cigas, John; Hsin, Wen-Jung – Journal on Educational Resources in Computing, 2005

Visual logic puzzles provide a fertile environment for teaching multiple topics in discrete mathematics. Many puzzles can be solved by the repeated application of a small, finite set of strategies. Explicitly reasoning from a strategy to a new puzzle state illustrates theorems, proofs, and logic principles. These provide valuable, concrete…

Descriptors: Mathematical Logic, Puzzles, Logical Thinking, Validity

Peer reviewed

Grassl, Richard M.; Mingus, Tabitha T. Y. – Mathematics and Computer Education, 1999

Indicates the importance of teaching discrete mathematics. Describes how the use of technology can enhance the teaching and learning of discrete mathematics. Explorations using Excel, Derive, and the TI-92 proved how preservice and inservice teachers experienced a new dimension in problem solving and discovery. (ASK)

Descriptors: Computer Uses in Education, Elementary Secondary Education, Graphing Calculators, Higher Education

Sharp, Karen Tobey – 1984

This paper cites information received from a number of sources, e.g., mathematics teachers in two-year colleges, publishers, and convention speakers, about the nature of discrete mathematics and about what topics a course in this subject should contain. Note is taken of the book edited by Ralston and Young which discusses the future of college…

Descriptors: College Mathematics, Community Colleges, Course Descriptions, Higher Education

Peer reviewed

Daymude, Kathy – Mathematics Teaching in the Middle School, 2002

Describes an activity in which students investigate patterns and discrete mathematics found in telephone numbers. (YDS)

Descriptors: Mathematics Activities, Mathematics Instruction, Middle Schools, Numbers