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Retention and Transfer of Mathematical Thinking in the CS Curriculum

Published: 03 March 2022 Publication History

Abstract

Mathematics instruction in computer science goes beyond prescribed topic coverage. It should build proficiency and willingness to engage in mathematical thought whenever appropriate: knowledge retention (across multiple years), and knowledge transfer across multiple application/course contexts. This evergreen subject has seen significant changes recently: the CS enrollment explosion; on-line instruction; active learning; greater diversity in background, interests, and goals among students; and expanded use of lookup technology for student work. Additionally, mainstream software development now encompasses mathematical ideas such as functional programming; cryptography; statistical inference; and mathematical certification of software. Retention and transfer (and their relative, "mathematical maturity") can be supported by well-considered and well-timed instructional action, supplementing the student realizations that may happen naturally. Cultivating authentic student engagement can help seeing course activity as building mathematical understanding for career use rather than an ephemeral game played for points. BoF participants will collaboratively discuss observations, reactions, thorny situations, and suggested practices for knowledge retention and transfer, in order to establish understanding for future directions.

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  1. Retention and Transfer of Mathematical Thinking in the CS Curriculum

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      cover image ACM Conferences
      SIGCSE 2022: Proceedings of the 53rd ACM Technical Symposium on Computer Science Education V. 2
      March 2022
      254 pages
      ISBN:9781450390712
      DOI:10.1145/3478432
      Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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      Association for Computing Machinery

      New York, NY, United States

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      Published: 03 March 2022

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      Author Tags

      1. computer science education
      2. knowledge retention
      3. knowledge transfer
      4. mathematical thinking in computer science

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      SIGCSE 2022
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      Overall Acceptance Rate 1,787 of 5,146 submissions, 35%

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      SIGCSE TS 2025
      The 56th ACM Technical Symposium on Computer Science Education
      February 26 - March 1, 2025
      Pittsburgh , PA , USA

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