Resolve makes instructional intent legible, measurement valid, and intervention precisely targeted — one pipeline, every lesson.
Cohen & Ball (1999), Remillard (2005), Sleep (2012) — the research is consistent. The distance between curriculum design and student learning is structural. It operates at three points. Resolve addresses all three.
The distance between what designers intended and what lands in classrooms is structural — a function of mathematical knowledge, not effort or fidelity. Coaches can't identify drift without lesson-by-lesson observation.
The standard exit ticket is a lesson component, appended. It was never specified as a measurement instrument. A student who adds when they should multiply looks identical to one who confuses part-to-whole with part-to-part. Both are marked wrong. No differential signal is produced.
Research on conceptual change is unambiguous: reteaching a concept to a student whose existing model is coherent and internally consistent is largely ineffective.
Resolve takes a raw HQIM lesson as input and produces a complete, diagnostically-aligned instructional package as output — while simultaneously generating labeled training data against a psychometrician-defined measurement model.
The lesson is analyzed against a research-driven protocol anchored to the standard's cognitive architecture. Every activity is classified by its relationship to the standard's cognitive demands — not surface alignment, but whether its removal leaves a learning objective without support. Critical moments are flagged. Instructional intent is made explicit and legible.
The original exit ticket — written as a lesson component, not specified as a measurement instrument — is replaced with a psychometrician-designed instrument built construct-first from the standard's cognitive architecture. Every distractor maps to a specific misconception code. No filler options. No invented wrong answers. Every option is a documented, theoretically-grounded hypothesis about student thinking.
Each misconception is classified into one of five instructional types. Each type has a distinct, evidence-based activity template. 20-minute modules are generated, matched to the specific cognitive failure, ordered by severity, in teacher and student versions. Each module concludes with a 2-item mini diagnostic instrument: Resolved, Partially Resolved, or Persists.
The most direct path to understanding fit is reviewing the output. We can provide a complete lesson package — cognitive clarification, diagnostic exit ticket, and full remediation module suite — for a Grades 3–8 mathematics standard.