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Journal articles on the topic 'MATHEMATICS / Discrete Mathematics'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

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1

Ivanov, O. A., V. V. Ivanova, and A. A. Saltan. "Discrete mathematics course supported by CAS MATHEMATICA." International Journal of Mathematical Education in Science and Technology 48, no. 6 (2017): 953–63. http://dx.doi.org/10.1080/0020739x.2017.1319979.

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2

Schoenefeld, Dale A., and Roger L. Wainwright. "Integration of discrete mathematics topics into the secondary mathematics curriculum using Mathematica." ACM SIGCSE Bulletin 25, no. 1 (1993): 78–82. http://dx.doi.org/10.1145/169073.169353.

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3

Porter, Richard D., John A. Dossey, Albert D. Otto, Lawrence E. Spence, and Charles Vanden Eynden. "Discrete Mathematics." American Mathematical Monthly 95, no. 2 (1988): 158. http://dx.doi.org/10.2307/2323088.

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4

Harding, A. T., and Norman L. Biggs. "Discrete Mathematics." Mathematical Gazette 71, no. 455 (1987): 85. http://dx.doi.org/10.2307/3616324.

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5

Davison, R., D. Burghes, J. Deft, N. Green, and N. Price. "Discrete Mathematics." Mathematical Gazette 79, no. 485 (1995): 436. http://dx.doi.org/10.2307/3618351.

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6

Abram, John, K. A. Ross, and C. R. B. Wright. "Discrete Mathematics." Mathematical Gazette 70, no. 452 (1986): 173. http://dx.doi.org/10.2307/3615811.

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7

Sheehan, J. "DISCRETE MATHEMATICS." Bulletin of the London Mathematical Society 18, no. 5 (1986): 513–14. http://dx.doi.org/10.1112/blms/18.5.513.

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8

Monsky, Paul. "Discrete Mathematics." Discrete Mathematics 118, no. 1-3 (1993): 293. http://dx.doi.org/10.1016/0012-365x(93)90075-5.

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9

Walker, Richard, and Steven Skiena. "Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica." Mathematical Gazette 76, no. 476 (1992): 286. http://dx.doi.org/10.2307/3619148.

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10

Maffioli, Francesco. "The discreet charm of discrete mathematics." International Journal of Mathematical Education in Science and Technology 18, no. 5 (1987): 657–61. http://dx.doi.org/10.1080/0020739870180503.

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11

Litwiller, Bonnie H., and David R. Duncan. "Combinatorics Connections: Playoff Series and Pascal's Triangle." Mathematics Teacher 85, no. 7 (1992): 532–35. http://dx.doi.org/10.5951/mt.85.7.0532.

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One major theme of the National Council of Teachers of Mathematic's Curriculum and Evaluation Standards far School Mathematics (1989) is the connection between mathematical ideas and their applications to real-world situations. We shall use concepts from discrete mathematics in describing the relationship between sports series and Pascal's triangle.

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12

Korshunov, Aleksei D. "Some unsolved problems in discrete mathematics and mathematical cybernetics." Russian Mathematical Surveys 64, no. 5 (2009): 787–803. http://dx.doi.org/10.1070/rm2009v064n05abeh004640.

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13

Smith, David K., and V. K. Balakrishnan. "Introductory Discrete Mathematics." Journal of the Operational Research Society 43, no. 1 (1992): 73. http://dx.doi.org/10.2307/2583702.

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14

Flesner, David E., Stephen B. Maurer, and Anthony Ralston. "Discrete Algorithmic Mathematics." College Mathematics Journal 24, no. 1 (1993): 107. http://dx.doi.org/10.2307/2686443.

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15

Whetton, David, and Stan Dolan. "Discrete Mathematics 1." Mathematical Gazette 86, no. 505 (2002): 163. http://dx.doi.org/10.2307/3621613.

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16

Smith, David K. "Introductory Discrete Mathematics." Journal of the Operational Research Society 43, no. 1 (1992): 73–74. http://dx.doi.org/10.1057/jors.1992.10.

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17

Brown, David T. "Discrete mathematics II." ACM SIGCSE Bulletin 25, no. 4 (1993): 13–17. http://dx.doi.org/10.1145/164205.164213.

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18

Olenev, Aleksandr, Ksenia Kirichek, Aleksandr Shuvaev, and Elena Petlina. "Information modeling of the normal forms of logical functions in Maple system." ITM Web of Conferences 59 (2024): 02003. http://dx.doi.org/10.1051/itmconf/20245902003.

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The article discusses possible ways to use the Maple computer algebra system to obtain perfect conjunctive and disjunctive normal forms. Computer algebra systems make it possible to expand the possibilities for creating, applying and using mathematical models in the daily activities of engineers, researchers, and also contribute to improving the education of students of various training profiles. In addition, the use of computer technology can help to apply various methods and expand approaches to the representation of the studied objects (Boolean functions) of discrete form, including in educ

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19

Mcavaney, K. L., Albert D. Polimeni, and H. Joseph Straight. "Foundations of Discrete Mathematics." Mathematical Gazette 76, no. 477 (1992): 433. http://dx.doi.org/10.2307/3618422.

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20

Shreeve, Richard I., and Ralph P. Grimaldi. "Discrete and Combinatorial Mathematics." Mathematical Gazette 81, no. 490 (1997): 163. http://dx.doi.org/10.2307/3618813.

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21

Baylis, John, R. J. McEliece, R. B. Ash, and C. Ash. "Introduction to Discrete Mathematics." Mathematical Gazette 74, no. 467 (1990): 77. http://dx.doi.org/10.2307/3618878.

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22

Watson, Rex, and James Bradley. "Introduction to Discrete Mathematics." Mathematical Gazette 74, no. 467 (1990): 78. http://dx.doi.org/10.2307/3618879.

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23

Williams, H. C., M. O. Albertson, and J. P. Hutchinson. "Discrete Mathematics with Algorithms." Mathematical Gazette 74, no. 468 (1990): 187. http://dx.doi.org/10.2307/3619393.

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24

Taylor, John, John E. Munro, and Chapman and Hall. "Discrete Mathematics for Computing." Mathematical Gazette 77, no. 480 (1993): 383. http://dx.doi.org/10.2307/3619796.

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25

Baker, A. C., and Susanna S. Epp. "Discrete Mathematics with Applications." Mathematical Gazette 75, no. 472 (1991): 233. http://dx.doi.org/10.2307/3620288.

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26

Lloyd, E. Keith, Jiri Matousek, and Jaroslav Nesetril. "Invitation to Discrete Mathematics." Mathematical Gazette 83, no. 498 (1999): 561. http://dx.doi.org/10.2307/3621018.

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27

Garcia, Jan Mark S., and Reymund L. Sabay. "GADIMATH: Gamified Discrete Mathematics." Philippine Social Science Journal 3, no. 2 (2020): 181–82. http://dx.doi.org/10.52006/main.v3i2.180.

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GADIMATH: Gamified Discrete Mathematics is an interactive two-dimensional mobile-based application in discrete mathematics working on the Android program. This application would work as an additional tool to strengthen the students' training in discrete mathematics. It would benefit students to observe particular rules, accomplish goals, and resolve problems. Upon using the application, students would experience enjoyment, interaction, and motivation while learning takes place. The problems and difficulties that the students encountered towards mastering learning competencies in mathematics ar

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28

Fleury, Ann E. "Evaluating discrete mathematics exercises." ACM SIGCSE Bulletin 25, no. 1 (1993): 73–77. http://dx.doi.org/10.1145/169073.169352.

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29

Read, Ronald C. "Chemistry and discrete mathematics." Discrete Applied Mathematics 67, no. 1-3 (1996): 1–4. http://dx.doi.org/10.1016/0166-218x(95)00022-j.

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30

Page, Rex L. "Software is discrete mathematics." ACM SIGPLAN Notices 38, no. 9 (2003): 79–86. http://dx.doi.org/10.1145/944746.944713.

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31

friedler, Louis M. "Problem Solving With Discrete Mathematics." Teaching Children Mathematics 2, no. 7 (1996): 426–31. http://dx.doi.org/10.5951/tcm.2.7.0426.

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The NCTM's Curriculum and Evaluation Standards for School Mathematics (1981) calls for an emphasis on problem solving at all levels and recommends introducing discrete mathematics topics. In fact, the first standard for grades K-4 states that “the study of mathematics should emphasize problem solving …” (p. 23).

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32

Rim, Haemee, and Youngju Jeon. "A Study on the Difficulties of Pre-service Mathematics Teachers in the Discrete Mathematics Learning." Korean School Mathematics Society 23, no. 1 (2020): 89–109. http://dx.doi.org/10.30807/ksms.2020.23.1.005.

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This study aims to help improve teacher education by investigating and analyzing the causes and backgrounds of learning difficulties experienced by pre-service mathematics teachers in discrete mathematics. To this end, we conducted a questionnaire and evaluation of them on discrete mathematics, and the data obtained were analyzed. As a result, first, pre-service mathematics teachers need to share their perceptions of the need for discrete mathematics education. Second, a review of the adequacy of the discrete mathematical content and its the credits are required. Third, The causes of their lea

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33

Fridman, Grigoriy M., and Oleg A. Ivanov. "On Experience of Using Wolfram Mathematica in a Course of Discrete Mathematics." Computer Tools in Education, no. 2 (June 28, 2019): 43–54. http://dx.doi.org/10.32603/2071-2340-2019-2-43-54.

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34

Hart, Eric W., James Maltas, and Beverly Rich. "Implementing the Standards: Teaching Discrete Mathematics in Grades 7–12." Mathematics Teacher 83, no. 5 (1990): 362–67. http://dx.doi.org/10.5951/mt.83.5.0362.

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The NCTM's Curriculum and Evaluation Standards for School Mathematics (Standards) (1989) explicitly recommends discrete mathematics for inclusion in the 9-12 curriculum, and many of the recommendations for the middle grades can be addressed by teaching discrete mathematics in grades 7 and 8. In this article we examine how discrete mathematics can be taught in grades 7-12. We shall first briefly discuss what is meant by discrete mathematics.

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35

Kelemen, Charles F., Steven Roman, and Richard Johnsonbaugh. "An Introduction to Discrete Mathematics." American Mathematical Monthly 94, no. 6 (1987): 564. http://dx.doi.org/10.2307/2322865.

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36

Muench, Donald L., Nancy Baxter, Ed Dubinsky, and Gary Levin. "Learning Discrete Mathematics With ISETL." American Mathematical Monthly 97, no. 9 (1990): 861. http://dx.doi.org/10.2307/2324770.

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37

Watson, Rex, Daniel T. Finkbeiner II, and Wendell D. Lindstrom. "A Primer of Discrete Mathematics." Mathematical Gazette 72, no. 459 (1988): 75. http://dx.doi.org/10.2307/3618024.

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38

Pollard, W. F., N. Baxter, E. Dubinsky, and G. Levin. "Learning Discrete Mathematics with ISETL." Mathematical Gazette 74, no. 467 (1990): 77. http://dx.doi.org/10.2307/3618876.

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39

Lord, Nick, J. G. Rosenstein, D. S. Franzblau, and F. S. Roberts. "Discrete Mathematics in the Schools." Mathematical Gazette 83, no. 497 (1999): 352. http://dx.doi.org/10.2307/3619099.

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40

Cohen, Steve M., and Paul R. Coe. "Card Shuffling in Discrete Mathematics." College Mathematics Journal 26, no. 3 (1995): 224. http://dx.doi.org/10.2307/2687349.

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41

Baylis, John, and J. K. Truss. "Discrete Mathematics for Computer Scientists." Mathematical Gazette 76, no. 476 (1992): 303. http://dx.doi.org/10.2307/3619163.

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42

Baylis, John, R. Garnier, and J. Taylor. "Discrete Mathematics for New Technology." Mathematical Gazette 78, no. 481 (1994): 86. http://dx.doi.org/10.2307/3619463.

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43

Baker, A. C., and L. J. Gerstein. "Discrete Mathematics and Algebraic Structures." Mathematical Gazette 72, no. 462 (1988): 334. http://dx.doi.org/10.2307/3619968.

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44

Lloyd, E. Keith, and Stephen Barnett. "Discrete Mathematics: Numbers and beyond." Mathematical Gazette 83, no. 498 (1999): 562. http://dx.doi.org/10.2307/3621019.

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45

Shiu, P., Charles F. Laywine, and Gary L. Mullen. "Discrete Mathematics Using Latin Squares." Mathematical Gazette 84, no. 499 (2000): 180. http://dx.doi.org/10.2307/3621553.

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46

Benjamin, Arthur T., Laszlo Lovasz, Jozsef Pelikan, and Katalin Vesztergombi. "Discrete Mathematics: Elementary and Beyond." American Mathematical Monthly 111, no. 7 (2004): 636. http://dx.doi.org/10.2307/4145182.

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47

Lopez, Antonio M. "Using PROLOG in Discrete Mathematics." College Mathematics Journal 24, no. 4 (1993): 357. http://dx.doi.org/10.2307/2686355.

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48

Oxley, A. "Discrete Mathematics and its applications." Teaching Mathematics and its Applications 29, no. 3 (2010): 155–63. http://dx.doi.org/10.1093/teamat/hrq007.

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49

Bridges, Susan. "Graphics assignments in discrete mathematics." ACM SIGCSE Bulletin 25, no. 1 (1993): 83–86. http://dx.doi.org/10.1145/169073.169354.

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50

Kenney, Margaret J. "Discrete Mathematics and Curriculum Reform." Journal of Education 178, no. 2 (1996): 51–58. http://dx.doi.org/10.1177/002205749617800204.

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