Review Article

Diagnosing How Children Compare Numbers: An Evidence-Centered Grade 3 Learning Progression

Sunny Bando

Publication record

Original publication period
January–June 2025
Digitized / uploaded online
August 10, 2026

The digitization/upload date records when this file was added to the website; it is not the article's original publication date.

Abstract

Strategic intervention materials are most useful when instructional tasks and assessment evidence are aligned to a clear learning progression. This article conducts a design analysis of a Grade 3 mathematics intervention on comparing whole numbers up to 10,000. Rather than treating correct symbol selection as the sole outcome, the proposed progression distinguishes prerequisite place-value knowledge, comparison strategy, symbolic fluency, number-line interpretation, contextual transfer, and error correction. Assessment cards from the source are reorganized into an evidence-centered cycle of elicitation, interpretation, feedback, and enrichment. A diagnostic error taxonomy is presented for digit-count errors, misaligned-place errors, first-difference errors, symbol-reversal errors, equality errors, and contextual-reasoning errors. The article also identifies inconsistencies in the source that demonstrate why answer-key moderation and item validation are essential. The resulting framework supports formative use of intervention materials while making no unsupported claim about measured achievement effects.

formative assessmentlearning progressionplace valuerelational reasoningdiagnostic feedbackstrategic intervention material