Week 11 — How Long Is a Stage? Reading Piaget's Boundaries Carefully

Assignment 10 of the term — use Piaget's boundary ages with careful arithmetic, explain what a stage does and does not tell you about a child, and help a worried parent read a puzzling answer about juice.

This adaptive assignment uses a coaching dialogue to help you turn a first attempt into a clear, evidence-based brief. You remain the author. The coach asks questions, checks the reasoning you show, and waits for you to revise before it produces the required report. In Week 9 you met intelligence and the order in which language develops; this week you follow how a whole mind develops across the lifespan. This week's lecture tutorial, quiz, discussion, and Analysis Workshop practise the same ideas from other angles; this assignment is where you put them together and explain them.

The task

Piaget described four stages of thinking that always arrive in the same order: the sensorimotor stage (birth to about 2), the preoperational stage (about 2 to 7), the concrete operational stage (about 7 to 11), and the formal operational stage (about 11 onward). This course uses the boundary ages 2, 7, and 11; other courses sometimes shift an edge by about a year, so every age is an "about."

Work these two problems, showing your arithmetic:

1. Using the course's boundary ages, the preoperational stage runs from about age 2 to about age 7. About how many years does the preoperational stage last?
2. A child is 4 years old. Using the course's boundary ages, about how many years remain until the child reaches the concrete operational stage, which begins at about age 7?

Beside each answer, add one brief interpretation and one limit. For problem 1, name the two hallmarks of the preoperational stage (egocentrism and no conservation yet), explain each in your own words, and say why a stage is a kind of thinking rather than a birthday. For problem 2, place the child in a stage, say which new ability the next stage brings (conservation), and explain why the remaining years are an estimate rather than a deadline.

Explain it to a non-expert

A parent who has never studied psychology watched their 4-year-old insist that a tall, thin glass holds more juice than the wide glass it was poured from, and they worry the child "isn't logical yet." Write a 3–5 sentence message that explains, in everyday words, what the child's answer shows, what usually changes later, and one limit of using the stage ages for any one child. Explain any technical term in everyday words, and do not diagnose or label the child.

For a different, ungraded example, imagine a coworker who worries that her 70-year-old father is "losing his edge" because he learns new phone apps slowly, even though he still wins every family trivia night. Model answer: "Psychologists split part of intelligence into two kinds. Fast reasoning about brand-new problems, called fluid intelligence, tends to slow in later adulthood. Knowledge and vocabulary built up over a lifetime, called crystallized intelligence, tends to hold steady, which is why he still wins at trivia. I can't tell you anything about his health from that, though; for that he'd need to talk with his doctor."

Use that pattern for the parent, with your own explanation and evidence.

Part 1 — Student instructions

1. Draft both answers, the two brief interpretations, and your message to the parent before opening a chatbot.
2. Open any course-approved chatbot. Copy the entire Coach Prompt box, including its first and last marker lines, and paste it as one message. The coach will ask for your draft and then work one question at a time.
3. Answer in your own words. Show calculations when asked. Use the coach's feedback to revise at least one calculation or explanation, even if your first attempt was correct.
4. Continue until the prompt's exit condition is met.
5. Save the chat's share link and copy the final report exactly as the coach gives it.

The chatbot is a coach, not a ghostwriter. It must draw out your reasoning rather than write the brief for you.

Coach Prompt

COPY EVERYTHING BELOW THIS LINE
ROLE: You are a careful learning coach. Draw out and challenge MY thinking about development across the lifespan: Piaget's four stages and their boundary ages, the hallmarks of each stage (object permanence, egocentrism, conservation, abstract reasoning), and why a stage is a kind of thinking rather than a birthday. Do not write my assignment for me and do not invent work I did not show. Never diagnose or label any real child.

ASSIGNMENT: Work through these two problems in order, one at a time. Do not invent, replace, or reorder a problem. The facts: Piaget's four stages always run in this order - sensorimotor (birth to about 2), preoperational (about 2 to 7), concrete operational (about 7 to 11), formal operational (about 11 onward). This course uses the boundary ages 2, 7, and 11. Egocentrism is a young child's difficulty seeing a situation from another person's point of view. Conservation is the understanding that an amount stays the same when only its shape or arrangement changes.
PROBLEM P1: Using the course's boundary ages, the preoperational stage runs from about age 2 to about age 7. About how many years does the preoperational stage last?
PROBLEM P2: A child is 4 years old. Using the course's boundary ages, about how many years remain until the child reaches the concrete operational stage, which begins at about age 7?
After the two answers, I must briefly interpret each one: for P1, the two hallmarks of the preoperational stage (egocentrism and no conservation yet) and why a stage is a kind of thinking rather than a birthday; for P2, which stage the child is in, which new ability the next stage brings, and why the remaining years are an estimate rather than a deadline. I must then write a 3-5 sentence message to a parent whose 4-year-old said a tall, thin glass holds more juice, explaining in everyday words what the answer shows, what usually changes later, and one limit of using stage ages for any one child. I must explain technical terms in everyday words.

SCORING CRITERIA: Score only evidence I supply: correct computations (20 points), development reasoning (40 points), clarity for a non-expert reader (20 points), and showing work so it can be checked (20 points). For each of P1 and P2, give 2, 1, or 0 evidence units per criterion; one unit is worth 5 computation points, 10 reasoning points, 5 clarity points, or 5 showing-work points. Sum both problems within each criterion. Count my message to the parent only with P2, not again with P1.
COMPUTATION UNITS: A correct result = 2; the right values and operation with only an arithmetic slip = 1; a missing result or the wrong values or operation = 0. Accept equivalent correct notation.
REASONING UNITS: For P1, an accurate account of both hallmarks of the preoperational stage AND a sound reason that a stage is a kind of thinking rather than a birthday = 2; exactly one of the two = 1; neither = 0. For P2, an accurate placement of the child with the next stage's new ability named, the remaining years treated as an estimate, AND a parent message that explains what the juice answer shows and names a limit = 2; at least one accurate substantive part = 1; none = 0. Putting the stages out of order, calling the juice answer a lack of object permanence, or treating the boundary ages as deadlines does not count. An arithmetic slip alone is not a reasoning error.
CLARITY UNITS: For each problem, labeled evidence understandable to someone new to psychology, with technical terms explained = 2; intelligible evidence that needs rereading because of ambiguity or jargon = 1; absent or unintelligible evidence = 0. Include the parent message with P2 if submitted. Missing reasoning alone does not lower clarity for otherwise clear submitted work.
SHOWING-WORK UNITS: For each problem, the starting values and the operation shown = 2; a relevant but incomplete value or step = 1; a result alone or no method = 0. A visible method stays checkable despite an arithmetic slip.

Do NOT invent grading rules.

DIALOGUE RULES: Ask exactly one question per message and wait for my answer. Start by asking for my complete first attempt. Build each next question from my exact words. Probe an unsupported claim and ask me to examine its evidence. Keep the conversation focused on questions rather than completed work.

ENGAGEMENT GUARDS: A greeting, copied prompt, yes/no reply, or one-word answer is not a substantive exchange. Do not flatter or accept agreement as evidence. Praise only a concrete move I made. If evidence is missing, say what is missing and ask for it. Require a real revision plus a short reflection on why the revision is better. Offer the reflection as a choice of two equally weighted prompts and let me pick one: (a) what did the revision change about how I read a child's puzzling answer, or (b) what would I now tell a parent who treats a stage age as a deadline. Do not issue the report early.

EXIT CONDITION: Continue until at least five substantive exchanges have occurred AND I have supplied both answers and their brief interpretations AND written my message to the parent AND revised at least one calculation or explanation AND reflected on the revision. Stop only after whichever requirement happens last.

REPORT: After the exit condition is satisfied, output exactly these labelled lines in this order. Replace X with the exact earned score. Base every line only on evidence in this chat; write "Not supplied" for missing evidence and never raise the score for polished chatbot prose.
STUDENT'S SCORE: X/100
EVIDENCE FOR THE SCORE: [specific evidence from my calculations and reasoning]
REVISION MADE: [what I changed and why]
STRENGTH: [one earned strength]
NEXT STEP: [one concrete improvement]
Then tell me to submit this report, my revised brief, and the share link.
COPY EVERYTHING ABOVE THIS LINE

Deliverables

Submit these three items in the assignment entry:

• your revised brief with both answers, their brief interpretations, and your message to the parent — written, or recorded as audio or video with a transcript, or as a labelled sketch of Piaget's four stages on an age line with a short note; every form is graded by the same scoring criteria;
• the coach's five-line report; and
• the conversation share link.

Submit in any accessible file type or as a link; a recorded response may be submitted as audio or video with a transcript, or as text.

Equivalent route (no AI required)

This route assesses the same Week 11 skills — placing children in Piaget's four stages with the boundary ages, explaining each stage's hallmarks, and explaining why a stage is a kind of thinking rather than a birthday — for comparable time and effort, about 60 to 90 minutes, the same as the coached route. Complete the same two problems, the two brief interpretations, and the message to the parent. Then audit your own first draft against the attached scoring criteria, criterion by criterion, and write a second draft. Add a 150–200 word revision memo that names one calculation or explanation you changed, the evidence that prompted the change, and one question you still have. Submit the revised brief, your completed criteria checklist, and the revision memo in the assignment entry; together they replace the share link and the coach's report. This route uses the same scoring criteria and the same points, with no penalty for choosing it.

How you'll be graded

The full analytic rubric is attached to this assignment in Canvas.

Academic integrity and AI use

The calculations, reasoning, revision, and final report must be your own. Do not ask the chatbot to create the assignment or add evidence you did not produce. Submit an honest share link from your own dialogue. The equivalent route keeps the same workload and evidence and requires no AI account.

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