The Life Starter
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Life · Guided lesson

Diagnose the error without labeling

About 21 minutes · 6 reading + 15 practice and checks
Time includes reading, practice, and questions. Extra videos or further study are optional.
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A 15-minute peer-tutoring plan with a learning goal, error diagnosis, hint ladder, feedback script, transfer check, and evidence log.

Keep your working files in your own notebook or software. Save a private description, checklist, and work link in My Proof.

What to include

  • Define the academic goal and an independent-work boundary.
  • Distinguish the concept error from the arithmetic slip.
  • Provide a three-level hint ladder and specific feedback script.
  • Check the new task and document any support used.
  • Assemble a timed session plan, evidence log, and next step.

Review and revise

Use these criteria to check your work and choose what to improve.

  • Prompts address the observed misconception.
  • Hints preserve a meaningful task for the learner.
  • Feedback names actions and respects processing time.
  • The log distinguishes assisted performance from independent transfer.
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Before you begin

The idea in everyday life

Sam’s ungraded attempts: A: 6 notebooks for $9 → “$9 is the unit price.” B: 4 notebooks for $8 → writes 8 ÷ 4 = 3. C: says, “Unit means one notebook.” Correct unit prices are A $1.50 and B $2.00.

The idea

An error is evidence about a step, not a label for a person.

Follow along

Diagnose the error without labeling: guided practice

An error is evidence about a step, not a label for a person.

Use paper or a free local text editor. This is an original fictional practice case; do not submit its records to a real service. Start this lesson with these facts, even if an earlier variation changed them. Sam’s ungraded attempts: A: 6 notebooks for $9 → “$9 is the unit price.” B: 4 notebooks for $8 → writes 8 ÷ 4 = 3. C: says, “Unit means one notebook.” Correct unit prices are A $1.50 and B $2.00.

  1. 1. Separate the attempts

    Record exactly what Sam did in A and B.

    You should see: A uses a pack total; B chooses division but computes it incorrectly.

    Different mistakes may need different help.

  2. 2. Ask for reasoning

    Draft one prompt for A that exposes the meaning of unit.

    You should see: If unit means one notebook, what quantity must the price refer to?

    A reasoning question checks the concept without supplying the full calculation.

  3. 3. Classify carefully

    Label A a unit/concept mismatch and B an arithmetic slip, based only on these attempts.

    You should see: A: concept application; B: calculation; no claim about Sam’s overall ability.

    Diagnosis should stay close to observable work.

  4. 4. Choose the next check

    Give the new ungraded case 3 notebooks for $6 and ask for price per notebook.

    You should see: Expected independent result: $2 per notebook, with 6 ÷ 3 shown.

    A new case checks whether the distinction transfers.

Now change one thing

Changed case: a learner writes 12 ÷ 4 = 2 while correctly explaining dollars per one item. Enter CONCEPT or ARITHMETIC for the visible error.

Your work

What to finish

Diagnose the error without labeling record with the worked decisions and changed-case check.

Common mistake

Watch for this

Calling a learner careless or weak instead of describing the precise step.

How can I tell I understand it?

Use an explanation to distinguish a concept error from an arithmetic slip. Explain the evidence behind the result and correct any mismatch.

Try 3 questions

Quick knowledge check

Answer all 3 questions. Get at least 2 right and the lesson completes automatically.

Not yet passed

You’ll get an explanation for each answer. Signed in? Your results save to your account.

1A learner correctly sets up 15 ÷ 5 but writes 4. What is the visible error?
2A learner divides items by dollars when asked for dollars per item. What should the tutor clarify?
3A learner gives one wrong answer but explains a sound method. What is the best interpretation?
0 of 3 answeredApply the lesson to a short question, then review the explanation.
2
Finish this lesson

Pass the check. We’ll save the progress.

Answer all 3 questions above and get at least 2 right. You can review the explanations and try again.

Go to the knowledge check
Optional course overview video · same video as Lesson 1
Kathleen JasperQuestioning Techniques in the Classroom | Kathleen JasperYouTube
Optional course overview

Questioning Techniques in the Classroom | Kathleen Jasper

From Kathleen Jasper. Watch here or open it on YouTube .

Optional course overview. Follow the written steps below at your own pace.
Tools, templates, and lesson sources

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Sources and further reading

Explore the references behind this lesson.

Sonoma State: The Three Primary Strategies
Source & access notes · checked 2026-09-12

Inspected wait time, redirecting questions, and checking independent understanding.

Access: Public page or PDF inspected without payment or institutional sign-in on September 12, 2026. Optional external accounts are unnecessary for this course.

Reuse: Link and original paraphrase only. Public access does not grant blanket reuse; no provider text, figures, or exercises are reproduced.

University of Waterloo: Question Strategies
Source & access notes · checked 2026-09-12

Inspected single meaningful questions, response time, and opt-out considerations.

Access: Public page or PDF inspected without payment or institutional sign-in on September 12, 2026. Optional external accounts are unnecessary for this course.

Reuse: Link and original paraphrase only. Public access does not grant blanket reuse; no provider text, figures, or exercises are reproduced.

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