Abusive generalization processes in the intuitive presentation are a source of potential semiotic conflicts¶
Claim · All claims
Evidence · 1 study · theoreticalr3·q2
Currency · newest study 2021 · not yet checked against its sources · not reviewed by a person
Subclaims¶
Reading the evidence codes
q is the design tier, i the impact, n the sample, and the kind with its r
the rigour judged within that kind: what each code means.
This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.
q2 i? In configuration EC4 of Starbird's presentation, two abusive generalization processes are identified: obtaining distances for five time values via limit procedures, and inferring the general distance formula p(t)=t² from only five pairs of values. → Burgos 2021
Evidence¶
Burgos 2021¶
Burgos, M., Bueno, S., Pérez, O., & Godino, J. D. (2021). Onto-semiotic complexity of the Definite Integral. Implications for teaching and learning Calculus. REDIMAT – Journal of Research in Mathematics Education, 10(1), 4-40. https://doi.org/10.17583/redimat.2021.6778
q2 · i? · theoretical · r3
Authors' interpretive analysis (type e) of EC4 in section 4: the first abusive generalization applies limit calculation processes to five time values; the second infers the general formula for any t "using only 5 pairs of values" via inductive reasoning from the table.
"In this configuration we observe two processes of "abusive generalization" that can be a source of potential semiotic conflicts."
Discussion¶
Related Claims¶
- Onto-semiotic analysis of Starbird's intuitive integral presentation identifies five epistemic configurations of practices, objects and processes — related
- Understanding Stewart's formal definition of the definite integral demands mobilizing a system of prior knowledge across a network of semiotic functions — related
- Students can apply procedural knowledge to solve integration problems but show limited understanding of basic integration concepts
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
abusive-generalization-semiotic-conflicts |
title |
Abusive generalization processes in the intuitive presentation are a source of potential semiotic conflicts |
description |
Abusive generalization processes in the intuitive presentation are a source of potential semiotic conflicts |
status |
review |
evidence_strength |
weak |
newest_evidence |
2021 |
generated |
by process:wiki-ingest on 2026-09-26 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — burgos-2021 |
Frontmatter is the page's machine-readable record — see the Schema & Guide.