Humans-with-Media and the Reorganization of Mathematical Thinking: Information and Communication Technologies, Modeling, Visualization and Experimentation
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Knowledge is produced together with a given medium or technology of intelligence through a collective process described as humans-with-media, humans-with-technology, or humans-with-technology-of-intelligence, where humans and non-human actors both have agency.
“According to Borba and Villarreal (2005), “knowledge is produced together with a given medium or technology of intelligence” (p. 23) through a collective process which they describe as humans-with-media, humans-with-technology, or humans-with-technology-of-intelligence, where humans and non-human actors both have agency.”
From Exploring AR and VR Tools in Mathematics Education Through Culturally Responsive Pedagogies (2024) · cites this paper as Borba & Villarreal, 2005
Humans are constituted by technologies that transform and modify their reasoning, and humans constantly transform these technologies.
“Borba and Villarreal (2005) stated that “humans are constituted by technologies that transform and modify their reasoning and, at the same time, these humans are constantly transforming these technologies” (p. 22).”
From Exploring AR and VR Tools in Mathematics Education Through Culturally Responsive Pedagogies (2024) · cites this paper as Borba and Villarreal (2005)
Cited by
Sorted by citations
Exploring AR and VR Tools in Mathematics Education Through Culturally Responsive Pedagogies
Bertrand, M. G., Sezer, H. B., & Namukasa, I. K. (2024) · Digital Experiences in Mathematics Education · doi:10.1007/s40751-024-00152-x · Cited by 28 · see citing works
- Authors
- Borba, M. C., & Villarreal, M. E.
- Affiliations
- Universidade Estadual Paulista (Unesp) (BR)
- Venue
- Springer eBooks
- Publisher
- Springer US
- Published
- 2005
- OpenAlex
- W2534113205
- Cited by
- 527
- References
- 0
- Citations by year
- 2026: 37 · 2025: 27 · 2024: 29 · 2023: 49 · 2022: 25 · 2021: 31 · 2020: 36 · 2019: 13 · 2018: 27 · 2017: 16 · 2016: 18 · 2015: 33 · 2014: 24 · 2013: 33 · 2012: 29
- FWCI
- 17.94
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- Locations
- Springer eBooks (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Theoretical Computer Science › History and Theory of Mathematics
- Social Sciences › Education › Mathematics Education and Teaching Techniques
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Cybernetics and Technology in Society
- Keywords
- mathematical thinking, technology and everyday life, technoscience, institutions, media and cognition
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
