Transcript T2 · A student stuck in the same spot

Strong session · Tutor: Grace (career changer, former accountant, week 8) · Students: Mei, DeShawn, Elena, Tomás (Grade 8) · Skill: equations with variables on both sides; recurring misconception: sign errors when moving terms (M2)

Fictional transcript, constructed for training purposes. Names and sessions are invented; this is not a recording of real children. Numbered annotations follow each exchange — format explained here.

[0:00]

Grace: Mei, DeShawn, Elena, Tomás — welcome back. Mei, your ticket yesterday had the cleanest “collect the x’s” work I’ve seen; today you get first shot. Tomás, yesterday that minus-four problem — you and I aren’t done with it, and that’s fine: today’s the day it surrenders.

[1] R1 + R2 + F2 (names; specific references from the tracker; struggle framed as “not done with it yet” — normalizing without shaming). Note Grace does not say “you got it wrong again”; she says the problem isn’t finished.

[0:04] Warm-up + review

Grace: Board: 5x + 2 = 3x + 10. Ninety seconds, solo start — show me your first two steps, not the answer.

[2] Q1 (L0 probing question at the session level: “first two steps” asks for the attempt, which is the diagnosis). Solo start protects R4 across four students.

DeShawn: I got all the x’s on the left: 5x − 3x + 2… wait, do I move the 2 or the 3x first?

Grace: Either works, if the balance holds. Pick one and keep both sides even — then compare with Elena.

[3] F1 (specific: “if the balance holds” names the criterion, not the step) + R4 (pair work spreads attention). Grace refuses to choose for him — the strategy choice is the student’s.

[0:08] Guided practice

Tomás: (on his paper, from 7x − 4 = 3x + 8) 7x + 4 = 3x + 8.

Grace: Hold on — before we go further: walk me through what happened to the −4.

[4] Q3 (error response: probing question aimed at the exact spot — not “you forgot to flip the sign”). Tomás has moved the term and added 4: the M2 sign error when moving terms.

Tomás: I… moved it over. So it becomes plus 4?

Grace: (three seconds) When you move the −4 from the left side, what operation are you actually doing?

[5] Q4 (wait time) + L1 (conceptual nudge — points at the operation, not the memorized “flip” rule). The goal: Tomás reconnects “moving” to “subtracting,” instead of patching with a remembered flip.

Tomás: Subtracting it… from the left side. So the left becomes 7x − 4 − 4? No wait — if I want it gone, I subtract 4 from both sides. So it’s minus 4 on both sides, not plus on one.

Grace: Say that last part again for the group, slower.

[6] F1 + R4 (specific feedback + the student becomes the teacher). “Say it again for the group” is the strongest form of feedback at this level: his reasoning, broadcast, becomes the review.

Tomás: You subtract 4 from both sides. So it’s 7x − 8 = 3x + 4. Because the equals sign means both sides stay equal.

[0:16] Guided practice, continued — Mei hits the wall

Mei: Mine keeps coming out wrong. (third attempt at 6x + 5 = 2x − 3; every time, the −3 gives her trouble) I keep getting positive 3. This is stupid.

[7] F2 (distress signal: “this is stupid” — Grace must respond to the feeling and the pattern; this is attempt 3 on the same step). By the ladder’s rules this is exactly the worked-example moment: L4, not more hints.

Grace: It’s not stupid — that −3 is genuinely the sneakiest part of this problem type, and you’re in good company. New plan: watch me do one like it, all the way through, and your only job is to catch the moment the −3 gets handled. 6x + 1 = 2x − 7. First, x’s to the left…

[8] L4 — worked example after repeated failure (a similar problem, same structure, different numbers — never Mei’s own problem). Grace also names what Mei will watch for (“the moment the −3 gets handled”) so the example has a target. Emotional reset first (“not stupid… good company”), then a concrete way back in.

Grace: …subtract 2x from both sides — that’s 4x + 1 = −7. Now the tricky guest, the +1: subtract 1 from both sides — watch — 4x = −8. Last step, divide by 4: x = −2. Check: 6(−2) + 1 = −11, and 2(−2) − 7 = −11. Both sides, same number — the balance held. Mei: which moment was the −3’s cousin?

[9] L4 execution details worth copying: every step justified in a few words; the same operation that troubled Mei is narrated slowly; ends by handing the insight back with a question, not with a test.

Mei: Subtracting the 1 from both sides. So in mine I should subtract the… 5? From both sides.

Grace: Your turn — original problem, from the top.

[10] L4 hand-back: the worked example returns to the student’s own problem. Without this step, worked examples entertain; with it, they transfer.

Mei: 6x + 5 = 2x − 3… minus 2x both sides: 4x + 5 = −3. Minus 5 both sides: 4x = −8. x = −2. (checks) 6(−2) + 5 is −7… and 2(−2) − 3 is −7. −7 and −7!

Grace: You did the whole ladder yourself. Why subtract the 5 and not add it?

[11] F3 (confirm and ask why) — one why-question at the moment of success. Note Mei checked her own work — both sides of her own problem, correctly (−7 and −7), without Grace ever touching the pen. The check she just watched in the worked example (−11 and −11) was for the example’s numbers; hers are different, which is proof the transfer stuck.

[0:25] Independent try + exit ticket

Grace: Everyone — one solo problem, then it’s the ticket. 8x − 3 = 4x + 5. Tomás, watch that −3. Ticket’s on the table: same family, two questions. I collect them at the door even if they’re half-done.

[12] F4 (offer a similar problem) + S3 + D1 (exit ticket protected at the end of the hour; the “half-done is fine” rule keeps the data flowing). Grace’s plan shows tomorrow’s review already chosen from today’s tagged tickets (D3).

What to steal from T2

The L4 moment: after ~three failed attempts on the same step, stop hinting — reset the emotion, work a similar problem with the trap narrated, hand the original back.
Wait time held under pressure — annotation [5] — when the easy thing is to correct.
“Say it again for the group”: feedback that converts one student’s repair into the group’s instruction.
The ticket habit surviving a messy middle: structure is what protects the data.

Rubric read

Against the observation rubric: Domain 1 level 4, Domain 2 level 4, Domain 3 level 4 (the ladder’s L1→L4 sequence is textbook), Domain 4 level 4, Domain 5 level 3–4 (ticket administered and collected; the record-and-choose step happens off-screen). T2 is the calibration anchor for Domain 3’s L4 row.

Related: T1 — the routine holding together · T6 — answering for the student (what happens when wait time never comes).