Glossary
The terms, in one place.
Every Fluency Intelligence term, defined.
- Fluency Intelligence FI
- XtraMath's teacher-facing AI layer. A five-stage learning loop — three of the stages run hidden, server-side. FI works beside the teacher, not as a synthetic educator.
- The Learning Loop 5 stages
- The full cycle: Practice → Analyze → Align → Audit → Brief. The teacher's instructional decision and classroom engagement close the loop back to next week's practice.
- Practice Adaptive Practice
- Step 1 · student bookend. Ten minutes a day. Same short, private, adaptive routine teachers have trusted since 2009. No chat, no added screen time.
- Analyze Pattern Analysis
- Step 2 · hidden. FI ingests every practice attempt, aggregates by operation and fact family, and classifies each student's state — fluent, developing, acquisition.
- Align Material Alignment
- Step 3 · hidden. FI compiles each pattern with the right strategy, renders it into your state's standards, and assembles recommendations pointing at materials your school already owns.
- Audit Governance Audit
- Step 4 · hidden · built for confidence. Every candidate brief goes through three sub-steps: process (every claim wired to evidence), evaluate (block diagnostic, clinical, or teacher-evaluation language), log (every claim traceable through the audit chain).
- Brief Instructional Brief
- Step 5 · teacher bookend. One page. Five-minute Monday read. "Who needs attention, why, and what to consider next." A starting point, not a directive.
- Bookends
- The two human roles that frame the loop. Student on the left does the practice (10 min/day). Teacher on the right reads the brief (10 min/week) and closes the loop.
- Beside the teacher
- FI's relational stance. Not between teacher and student. Not above the teacher as a synthetic educator. Beside — supporting the teacher's decision.
- Trust, but verify
- The brief is a starting point, not a directive. The teacher accepts what fits, adapts what doesn't, ignores what isn't useful this week.