Volume 18 · Number 2 · Pages 279–281
The Ambition of Absolute Agreement in Mathematics, and Deviations from It

Christian Hennig

Log in to download the full text for free

> Citation > Similar > References > Add Comment


Open peer commentary on the article “Random Walks as a Royal Road to E-STEAM in Math Education” by Amaranta Valdés-Zorrilla, Daniela Díaz-Rojas, Leslie Jiménez & Jorge Soto-Andrade. Abstract: I claim that mathematics is constructed with the ambition of allowing for absolute agreement. Dealing with students’ thinking that deviates from the supposedly absolute agreement is a key problem for mathematics teaching. Some sources for such deviant thinking include the relationship between mathematics and modelled reality, and the “imaginary” nature of probability.


Hennig C. (2023) The ambition of absolute agreement in mathematics, and deviations from it. Constructivist Foundations 18(2): 279–281. https://constructivist.info/18/2/279

Export article citation data: Plain Text · BibTex · EndNote · Reference Manager (RIS)


Ayer A. J. (1952) Language, truth, and logic. Victor Gollantz, London. ▸︎ Google︎ Scholar
Dudley U. (1992) Mathematical cranks. Mathematical Association of America, Washington DC. ▸︎ Google︎ Scholar
Ernest P. (1998) Social constructivism as a philosophy of mathematics. State University of New York Press, Albany. ▸︎ Google︎ Scholar
Hacking I. (1975) A philosophical study of early ideas about probability, induction and statistical inference. Cambridge University Press, Cambridge. ▸︎ Google︎ Scholar
Hennig C. (2010) Mathematical models and reality: A constructivist perspective. Foundations of Science 15: 29–48. https://cepa.info/363
Hilbert D. (1998) Problems of the grounding of mathematics. In: Mancosu P. (ed.) From Brouwer to Hilbert: The debate on the foundations of mathematics in the 1920s. Oxford University Press, New York: 227–233. Originally published in 1929. ▸︎ Google︎ Scholar
O’Connell A. A. (1999) Understanding the nature of errors in probability problem-solving. Educational Research and Evaluation 5(1): 1–21. ▸︎ Google︎ Scholar
Tversky A. & Kahneman D. (1974) Judgment under uncertainty: Heuristics and biases. Science 185(4157): 1124–1131. ▸︎ Google︎ Scholar

Comments: 0

To stay informed about comments to this publication and post comments yourself, please log in first.