Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources

Barnett, Janet Heine; Lodder, Jerry; Pengelley, David; Pivkina, Inna; Ranjan, Desh

doi:10.5948/upo9781614443001.018

Cited by 14 publications

(4 citation statements)

References 2 publications

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“…In one case, the students of a Microbial Genetics and Physiology course worked with an archivist to examine and analyze historical materials and rare books that documented the historical progress in understanding and documenting diseases (Brown, Losoff and Hollis, 2014). Other instructors have even devised ways to teach abstract mathematical principles and computer science through historical primary sources (Barnett, Lodder, Pengelley, Pivkina and Ranjan, 2008).…”

Section: Discussionmentioning

confidence: 99%

Better learning through history: using archival resources to teach healthcare ethics to science students

Bursten

Strandmark

2021

Euro Jnl Phil Sci

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While the use of archives is common as a research methodology in the history and philosophy of science (HPS), training in archival methods is more often encountered as part of graduatelevel training than in the undergraduate curriculum. Because many HPS instructors are likely to have encountered archival methods during their own research training, they are uniquely positioned to make effective pedagogical use of archives in classes comprised of undergraduate science students. Further, because doing this may require changing the way HPS instructors think about the aims and varieties of archival research, archivists themselves can be valuable resources in developing archives-based learning activities for science students in HPS classrooms. In this article, we describe an archives-based learning activity developed for a population of primarily pre-medical students in a healthcare ethics class and discuss the pedagogical benefits of this activity. This activity was developed via a collaboration between an HPS instructor (Bursten) and an education archivist (Strandmark). Our hope is that this discussion may serve both as a proof of concept for the use of archives-based learning activities as tools for teaching HPS to science students, and as an argument for the unique benefits that archival engagement can impart to science students.

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Section: Discussionmentioning

confidence: 99%

Better learning through history: using archival resources to teach healthcare ethics to science students

Bursten

Strandmark

2021

Euro Jnl Phil Sci

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“…For example, many concepts in the module "Networks and Spanning Trees" [16] are germane to both discrete mathematics and computer science. For further reasons to learn from historical sources, see the papers [3,9,10,15].…”

Section: Loddermentioning

confidence: 99%

Networks and Spanning Trees: The Juxtaposition of Prüfer and Borůvka

Lodder¹

2014

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This paper outlines a method for teaching topics in undergraduate mathematics or computer science via historical curricular modules. The contents of one module, "Networks and Spanning Trees," are discussed from the original work of Arthur Cayley, Heinz Prüfer, and Otakar Borůvka that motivates the enumeration and application of trees in graph theory. Cayley correctly identifies a pattern for the number of (labeled) trees on n fixed vertices. Prüfer's paper provides a rigorous verification of this pattern, whereas Borůvka's paper offers one of the first algorithms for finding a minimal spanning tree over the domain of labeled trees. These latter two papers in juxtaposition offer a pleasing confluence of concepts and applications, written verbally before the modern terminology of graph theory had been formulated.

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“…The implication of the symbolic and systematic arrangement of symbols is software, including programming languages and systems running on the computer [141]. Mathematically, the software requires a scientific field from arithmetic that underlies calculation principles [142]: permutation, enumeration in set theory, relations and functions, language and finite state machines, number systems, principles of inclusion and exclusion, linear algebra or algebra, group theory to ring theory and modules, coding theory, combinatorial design, graph theory to network analysis, trees and optimization [143]- [145]. The topics of software and algorithm in Table II support the above description, where the software component is the hottest issue.…”

Section: ) Scientific Basismentioning

confidence: 99%

Computer Science

Nasution¹,

Hidayat²,

Syah³

2022

International Journal on Advanced Science, Engineering and Information Technology

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Possible for science itself, conceptually, to have and will understand differently, let alone science also seen as technology, such as computer science. After all, science and technology are viewpoints diverse by either individual, community, or social. Generally, it depends on socioeconomic capabilities. So it is with computer science has become a phenomenon and fashionable, where based on the stream of documents, various issues arise in either its theory or implementation, adapting different communities, or designing curriculum holds in the education system. Generally, there are gaps between rich and poor, masculine and feminine, and basic sciences, engineering, and social sciences in accessing and using computer science. In particular, there have been various developments in hardware, software, and brain-ware from computer science in the application. There are recurring problems shortly, in the same or different places, both in developed and technologically lagging countries. Although computer science is still new, it has provided various innovations through research, which is proven by many documents. Therefore, following the growth of computer science -documents in the reputable indexed database, Scopus -there are clues for showing the trends. That is, dividing documents into three-time sessions: sloping, increasing and decreasing. That is by using a growth graphic. Then equip it with some parameters: topics and the weights from hit counts of databases. It gives the meaning as an interpretation to support the reviews. Therefore, this paper will provide a commentary related to that growth. It is for showing that despite the spread of studies, at the last time-session, the issues were always present simultaneously at the same time in accumulation. That is for describing a study title of computer science about what the world already has, going, and will understand about computer science. It is a view regarding its philosophy, basic science, applications, and technology as concepts and solutions that make computer science the primary foundation for skills and professions in the 21 st century through the education system. Therefore, other scientific fields such as informatics, computer engineering, information science, information technology, and data science, which are at the crossroads of computer science, are also scientific fields that raise different issues.

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Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources

Cited by 14 publications

References 2 publications

Better learning through history: using archival resources to teach healthcare ethics to science students

Better learning through history: using archival resources to teach healthcare ethics to science students

Networks and Spanning Trees: The Juxtaposition of Prüfer and Borůvka

Computer Science

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