Transcript T6 · The tutor answers for the students
Weak session · Tutor: Felix (college senior, week 5) · Students: Jordan, Aaliyah, Mateo (Grade 8) · Planned skill: equations with variables on both sides; misconception in play: sign errors when moving terms (M2)
Fictional transcript, constructed for training purposes. Invented tutor and students; not a recording of real children. Numbered annotations follow each exchange — format. Felix is fast, likable, and completely unaware that his students are spectators.
[0:02]
Felix: Alright crew — Jordan, Aaliyah, Mateo. Today’s the fun one: x’s on both sides. Look, 4x + 3 = 2x + 11. You basically just… move the small x over and subtract it, right? So subtract 2x from both sides, you get 2x + 3 = 11. Then minus 3, 2x = 8, x = 4. That’s the whole game — see how fast that was? Your turn: 6x + 5 = 3x + 14.
[1] Q1 (violation: the “teach” IS the worked solution — no question, no attempt, no ladder). Note the pack: “move the small x over and subtract it” hands over a strategy AND both operations in one sentence — two ladder rungs in one breath, and neither was earned by an attempt. Compare T2 annotation 2: same content, student produces both steps.
Jordan: 6x… minus 3x… = 3x — plus 5 = 14, so 3x + 5 = 14.
Felix: Good good — then minus 5, so 3x = 9, and then divide — x = 3. You’re getting it!
[2] Q4/F4 (violation: the tutor performed the last two steps of Jordan’s problem — “then minus 5… x = 3” — then certified it). Jordan produced one subtraction; Felix did the finish. The rubric’s Domain 3 level-1 anchor: “the tutor completes the key steps while the student watches.” The L3 partial step exists precisely for this moment (“Subtract 5. What do you get?”) — the operation named, the arithmetic still the student’s.
Aaliyah: For 7x − 2 = 4x + 10, I got x = 2… but the check doesn’t work?
Felix: Let me look — oh, you did 7x − 4x and then moved the 2 but added it: 3x + 2 = 10, that’s your bug, it should be minus 2 both sides, so 3x = 12, x = 4. Check it now.
Aaliyah: …28 minus 2 is 26, and 16 plus 10 is 26. Okay!
[3] Q3 + Q4 (double violation on one exchange: the M2 error — sign when moving terms — is named (“added it, that’s your bug”) and the fix is performed by the tutor; zero wait time between Aaliyah’s confusion and Felix’s takeover). What was lost: (a) the probing question that would have exposed the concept — “when you moved the −2, what did you do to both sides?”; (b) Aaliyah’s own repair; (c) the diagnosis of why she added (the memorized flip rule without the subtraction meaning — the exact thing Module 3 trains with L1). What remains: a patched answer and a rule she’ll misapply again next week.
Mateo: Mine says 9x + 4 = 4x + 4. I got x = 0… is that allowed? Zero?
Felix: Hmm — 9x − 4x is 5x, and 4 − 4 is 0, so 5x = 0… yeah, x = 0. Weird one, right? Zero’s allowed, don’t worry about it.
[4] Q3 again (Mateo’s work is right — re-derive it: 9x − 4x = 5x, 4 − 4 = 0, so 5x = 0 and x = 0; the check holds, 4 = 4 — but nobody knows, because “don’t worry about it” closed the question Mateo actually asked). “Is zero allowed?” is a genuine conceptual question about the equals sign — the M5 door, wide open. The strong move is one probing question back: “Check it — what do both sides give you?” (0 = 0 on both sides: the balance holds; zero is a real answer.) Instead the moment is dismissed, and the group learns that surprising answers get waved away.
Felix: Speed round — three problems, ninety seconds, race you. First to finish all three wins. 2x + 7 = 3x + 2… 5x − 1 = 2x + 11… 8x = 4x + 12.
[5] F1 (violation: speed as the prize — rewards racing, not reasoning; the fastest student wins and the stuck one hides). Jordan will win. Aaliyah, one error into the session, will guess-check her way to “done.” The competency model’s Domain 4 failure list has this one verbatim: “praising speed in ways that reward rushing.”
Aaliyah: I don’t get the second one.
Felix: Sure you do — it’s the same as the first, just bigger numbers! Subtract 2x…
Aaliyah: But—
Felix: —from both sides, you get 3x − 1 = 11, then plus 1, 3x = 12, x = 4. Same as the one you just did! You almost had it.
[6] The session in miniature: three rungs of the ladder fired in one sentence [1], repeated here — “subtract 2x… plus 1… x = 4” — while the student says “But—”. “You almost had it” is doing moral work, not instructional work: it certifies effort while withholding the diagnosis. The L1 move (“What does the −1 become when you move it, and why?”) would have taken the same ten seconds and left her with the concept.
[0:27]
Felix: Alright, time! Jordan wins — 3 for 3. Aaliyah, two out of three, solid. Mateo? Two. Okay, no time for the exit ticket — Jordan, grab the folder so we can bounce. Good session, everyone!
[7] S3/D1 (violation: no exit ticket — again — and the winner carries the folder: the session’s whole reward structure points at speed). Felix now has no data on whether Aaliyah’s M2 sign error survived the session (it did; it always does when patched, not probed). The measurement plan’s sessions-with-ticket metric (target ≥90%) is the fidelity number that makes T5-style and T6-style data losses visible to a coordinator before the students’ scores do — the ticket column of the simulated dashboard is where drift like this shows up first.
Why this transcript is here
Felix’s failure is the inverse of Nadia’s [T5]: he’s fast and interactive — students get turns, there’s a game, energy is high — but every turn ends with the tutor’s voice doing the thinking. The shared root: no wait time, no ladder discipline, no data.
| What Felix did | What the rubric asks for | Where it’s trained |
|---|---|---|
| Opened with the full solution [1] | L0 probing question; one rung per turn | Module 3 |
| Finished the student’s problem [2] | L3 partial step: name the operation, student computes | Module 3 |
| Named the bug and patched it [3] | Expose, don’t correct: “what did you do to both sides?” | Module 3, misconception M2 |
| Dismissed a real question [4] | Every student question is a probing-question opportunity | Module 1 (R4: every student heard) |
| Made speed the prize [5] | Feedback names processes; race-to-finish isn’t the game | Module 4 |
| Talked over “But—” [6] | Wait time 3–5 seconds; the pause is the student’s | Module 3 |
| Skipped the ticket, rewarded the winner [7] | Ticket every session; feedback ≠ ranking | Module 2, Module 4 |
Rubric read
Observation rubric: Domain 1 = 2 (warm, quick rapport; no work references; speed ranking corrodes safety) · Domain 2 = 1 (blocks blur into the “speed round”; no exit ticket — the rubric states this alone caps the domain at 1) · Domain 3 = 1 (no probing questions; ladder skipped every time; tutor completes solves) · Domain 4 = 1 (praise is generic and speed-based) · Domain 5 = 1 (no ticket). T6 is the calibration anchor for Domain 3, level 1 when the session looks energetic — observers should score the students’ production, not the room’s energy.
Related: T5 — over-explaining (the same root cause, slower) · T2 — the ladder held under pressure (same content, opposite session).