Students' explanations rarely use repeated addition for whole-number-by-decimal multiplication; many instead invoke a part-whole logic¶
Claim · All claims
Evidence · 1 study · causalr2·q3
Currency · newest study 2017 · 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.
q3 i? Contrary to expectation, no student explained WD multiplication judgments with decimals below one via repeated addition; many explanations were compatible with an unanticipated part-whole logic. → Lortie-Forgues 2017
Evidence¶
Lortie-Forgues 2017¶
Lortie-Forgues, Hugues and Siegler, Robert S (2017) Conceptual knowledge of decimal arithmetic. Journal of Educational Psychology. pp. 374-391. ISSN: 0022-0620. https://doi.org/10.1037/edu0000148
q3 · i? · causal · r2
Analysis of Study 2 explanations found "none of the students’ explanations referred to solving WD multiplication judgment problems" via repeated addition; instead many invoked part-whole logic, e.g., "You are multiplying five by a number less than one so the solution is going to be less than one whole five".
"Contrary to our expectation, none of the students’ explanations referred to solving WD multiplication judgment problems with a decimal below one by using repeated addition -- estimating the result of adding the decimal the number of times indicated by the whole number"
Discussion¶
Related Claims¶
- Wd Multiplication More Accurate Than Dd Decimals Below One
- Middle school students judge the direction of effect of multiplication and division of decimals below one below chance, while remaining highly accurate on all other operation-operand combinations — related
- Explanations citing both the arithmetic operation and the operands' magnitudes are strongly associated with accurate direction of effect judgments, while unconditional operation rules are associated with very low accuracy — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
no-repeated-addition-explanations-part-whole-logic |
title |
Students' explanations rarely use repeated addition for whole-number-by-decimal multiplication; many instead invoke a part-whole logic |
description |
Students' explanations rarely use repeated addition for whole-number-by-decimal multiplication; many instead invoke a part-whole logic |
status |
review |
evidence_strength |
weak |
newest_evidence |
2017 |
generated |
by process:wiki-ingest on 2026-10-23 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — lortie-forgues-2017 |
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