The idea of discreteness is a fundamental presupposition that constrains students' understanding of the density of rational numbers¶
Claim · All claims
Evidence · 1 study · associationalr?·q2
Currency · newest study 2004 · 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? Students' fundamental presupposition that numbers are discrete constrains their understanding of the density of rational numbers. → Xenia Vamvakoussi 2004
Evidence¶
Xenia Vamvakoussi 2004¶
Xenia Vamvakoussi, Stella Vosniadou. (2004). Understanding the structure of the set of rational numbers: a conceptual change approach. Learning and Instruction. https://telearn.hal.science/hal-00190233
q2 · i? · associational · r?
The abstract reports this finding from the empirical study of ninth graders' understanding of rational numbers from a conceptual change perspective. No effect size is printed in the available text.
"the idea of discreteness is a fundamental presupposition, which constrains students' understanding of density"
Discussion¶
Related Claims¶
- Understanding rational numbers is not indiscriminately difficult for students — related
- Prior knowledge about natural numbers supports students dealing with algebraic properties of rational numbers — related
- Student misconceptions can be read as knowledge elements that serve in some contexts and are refined and reorganised during learning, rather than as strongly held flawed ideas that instruction must confront and replace — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
discreteness-presupposition-constrains-density-understanding |
title |
The idea of discreteness is a fundamental presupposition that constrains students' understanding of the density of rational numbers |
description |
The idea of discreteness is a fundamental presupposition that constrains students' understanding of the density of rational numbers |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2004 |
generated |
by process:wiki-ingest on 2026-10-23 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — xenia-vamvakoussi-2004 |
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