---
_id: '12307'
abstract:
- lang: eng
  text: Point-set topology is among the most abstract branches of mathematics in that
    it lacks tangible notions of distance, length, magnitude, order, and size. There
    is no shape, no geometry, no algebra, and no direction. Everything we are used
    to visualizing is gone. In the teaching and learning of mathematics, this can
    present a conundrum. Yet, this very property makes point set topology perfect
    for teaching and learning abstract mathematical concepts. It clears our minds
    of preconceived intuitions and expectations and forces us to think in new and
    creative ways. In this paper, we present guided investigations into topology through
    questions and thinking strategies that open up fascinating problems. They are
    intended for faculty who already teach or are thinking about teaching a class
    in topology or abstract mathematical reasoning for undergraduates. They can be
    used to build simple to challenging projects in topology, proofs, honors programs,
    and research experiences.
article_processing_charge: No
article_type: original
author:
- first_name: Barbara A.
  full_name: Shipman, Barbara A.
  last_name: Shipman
- first_name: Elizabeth R
  full_name: Stephenson, Elizabeth R
  id: 2D04F932-F248-11E8-B48F-1D18A9856A87
  last_name: Stephenson
  orcid: 0000-0002-6862-208X
citation:
  ama: Shipman BA, Stephenson ER. Tangible topology through the lens of limits. <i>PRIMUS</i>.
    2022;32(5):593-609. doi:<a href="https://doi.org/10.1080/10511970.2021.1872750">10.1080/10511970.2021.1872750</a>
  apa: Shipman, B. A., &#38; Stephenson, E. R. (2022). Tangible topology through the
    lens of limits. <i>PRIMUS</i>. Taylor &#38; Francis. <a href="https://doi.org/10.1080/10511970.2021.1872750">https://doi.org/10.1080/10511970.2021.1872750</a>
  chicago: Shipman, Barbara A., and Elizabeth R Stephenson. “Tangible Topology through
    the Lens of Limits.” <i>PRIMUS</i>. Taylor &#38; Francis, 2022. <a href="https://doi.org/10.1080/10511970.2021.1872750">https://doi.org/10.1080/10511970.2021.1872750</a>.
  ieee: B. A. Shipman and E. R. Stephenson, “Tangible topology through the lens of
    limits,” <i>PRIMUS</i>, vol. 32, no. 5. Taylor &#38; Francis, pp. 593–609, 2022.
  ista: Shipman BA, Stephenson ER. 2022. Tangible topology through the lens of limits.
    PRIMUS. 32(5), 593–609.
  mla: Shipman, Barbara A., and Elizabeth R. Stephenson. “Tangible Topology through
    the Lens of Limits.” <i>PRIMUS</i>, vol. 32, no. 5, Taylor &#38; Francis, 2022,
    pp. 593–609, doi:<a href="https://doi.org/10.1080/10511970.2021.1872750">10.1080/10511970.2021.1872750</a>.
  short: B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609.
date_created: 2023-01-16T10:07:21Z
date_published: 2022-05-28T00:00:00Z
date_updated: 2023-01-30T13:02:30Z
day: '28'
department:
- _id: HeEd
- _id: GradSch
doi: 10.1080/10511970.2021.1872750
intvolume: '        32'
issue: '5'
keyword:
- Education
- General Mathematics
language:
- iso: eng
month: '05'
oa_version: None
page: 593-609
publication: PRIMUS
publication_identifier:
  eissn:
  - 1935-4053
  issn:
  - 1051-1970
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
scopus_import: '1'
status: public
title: Tangible topology through the lens of limits
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 32
year: '2022'
...