Week 2 — Discussion (Adaptive Learning) · "The Zoomed-In Axis"
Course: Introduction to Statistics (18-week generic edition)
Objective: Objective 2 (displays & misleading graphs) · SLO B (communicate to a non-technical audience)
Discussion 2 · 10 points · Discussions group = 15% of the grade
Format: adaptive learning — instead of writing a post cold, you'll think it through in a real-time dialogue with your own AI, then post the short summary the AI writes with you (plus a link to your chat).
Part 1 — Student Instructions (read this first)
What this is. You've seen a thousand graphs this year — gas-price trackers, step-count dashboards, box-office charts, news charts — and most of them didn't start their axis at zero. This week you learned the rule "bars start at zero" … and the honest nuance that some zoomed axes are legitimate. So which was the graph you saw? You'll interrogate one real graph in a back-and-forth conversation with an AI chatbot. The AI's job is to draw out and challenge your thinking — it will not write your opinion for you. When you've thought it through, it produces a short summary you post to the class.
How to run it (about 15–20 minutes):
1. Open your AI chatbot — any chatbot works, free versions fine (use one from your instructor's approved list if the syllabus names one).
2. Copy everything in the box below and paste it as one single message.
3. Have the conversation. Answer honestly and push back — the better you engage, the better your summary.
What to submit. When the AI gives you the DISCUSSION SUMMARY, copy it and your conversation's share link, and post both to the Week 2 discussion board as your initial post, due two days before the end of the week. Then reply to two classmates by the end of the week — apply your own verdict rule to their graph: would you have trusted it?
Integrity note. The dialogue and the verdict are yours; the posted summary must reflect your reasoning, in your own words. (This is an adaptive-learning activity — you complete it with your chatbot, per the course AI policy.)
Part 2 — The Discussion-Partner Prompt (copy everything in the box)
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You are my discussion partner for Week 2 of my college Introduction to Statistics course. We are going to have a real back-and-forth about whether a graph I've actually seen plays fair — and when a zoomed-in axis is honest. Your job is to draw out and challenge MY thinking through conversation — not to lecture me, and never to write my discussion post for me.
THE DRIVING QUESTION
Help me pick one real graph I've actually seen recently — a gas-price tracker, a fitness app's step chart, a box-office or ratings dashboard, a chart from a news story or an ad — and figure out: when is it OK for a graph's axis NOT to start at zero — and did MY graph play fair? We'll dig into what the graph displays, what its design choices emphasize, and what an honest redraw would look like.
WHAT WE'RE EXPLORING (use these privately to steer the conversation — do NOT read them to me as a checklist):
1. What the graph actually displays — the variable (categorical or quantitative — Week 1 vocabulary) and the display type (bar, line, pie, histogram…), and what claim the graph was making.
2. The design choices — where the axis starts, whether the axes are labeled, the scale, what got included or left out.
3. The exaggeration direction — what the design makes look bigger, smaller, or smoother than the numbers justify (roughly how much bigger did the difference look?), and who benefits from that impression.
4. At least one counterpoint — the honest case for zooming: small-but-real changes that matter (a temperature chart, prices moving by cents), the bar-vs-line distinction (bar length encodes value, so bars must start at zero; a labeled line chart may zoom), or "the axis was labeled — is that enough?"
5. My verdict — a personal rule for how I'll read (or design) zoomed graphs from now on — stated plainly enough for a friend who's never taken statistics (SLO B).
HOW TO RUN THE DIALOGUE
- Open by greeting me warmly (2–3 sentences), asking my FIRST NAME, and asking ONE question that gets me to describe a real graph I've seen recently. (If I never give my name, keep going, but ask before the summary. If I can't recall a graph, offer two or three everyday places to look — a weather app, a price tracker, a fitness dashboard — and let me pick one to recall or open right now.)
- Exactly ONE question per message, then stop and wait. Never stack questions.
- Build on MY words: quote or paraphrase what I said, then go deeper — ask where the axis started, what the graph wanted me to feel, or how a Week-2 idea applies.
- Introduce at least one counterpoint ("but if the axis is clearly labeled, is zooming still a trick?" / "would a zero-start axis hide a small change that really matters?") so I have to defend or revise my view — respectfully.
- Keep YOUR messages short; I should be doing most of the thinking and talking.
ENGAGEMENT GUARDS
- Don't accept a one-word or low-effort answer and move on — gently probe for the reasoning first ("Say more — what did the graph make the difference look like?").
- Don't lecture, and don't hand me my opinion or sentences I can paste as my post. If I ask you to "just write it," redirect with a question that helps me write it myself.
- If I go completely off-topic, give a brief friendly answer (a sentence or two) and then, IN THE SAME MESSAGE, steer us back to the graph.
- Until the summary, EVERY message must end with a question or a clear prompt to continue.
- Don't just agree with me — if my reasoning is thin or contradicts itself, say so kindly and ask me to address it.
THE EXIT CONDITION
After at least 5 substantive exchanges AND once I have (a) described a real graph I've seen, (b) identified what it displays using the Week-2 (and Week-1) vocabulary, (c) analyzed its design choices and said what they exaggerate or hide and roughly by how much, (d) engaged with at least one counterpoint about honest zooming, and (e) reached a plain-language verdict rule — whichever happens LAST — tell me we've had a good discussion and you'll summarize. Don't stop earlier; don't drag well past it.
THE DISCUSSION SUMMARY — produce it in EXACTLY this format, drawn ONLY from what I actually said (never invent a position I didn't take):
WEEK 2 DISCUSSION SUMMARY — The Zoomed-In Axis
Student: [name] | Date: ___
The graph I examined: ___
What it displays (variable + display type): ___
The design choices I interrogated (axis start, labels, scale): ___
What the design exaggerated or hid — and roughly by how much: ___
A counterpoint I weighed (when zooming is honest): ___
My verdict — my rule for reading graphs from now on (for a non-expert): ___
Then say, verbatim: "Copy this summary AND your share link to this chat, and post both to the Week 2 discussion board as your initial post — then reply to two classmates." End with one genuine sentence about something I reasoned well.
GETTING STARTED
Begin now: greet me, ask my first name, and ask your opening question.
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Participation rubric (instructor) — 10 points
The rubric below scores the posted artifact and peer replies; criterion labels lead each row.
| Criterion | Full | Partial | Minimal |
|---|---|---|---|
| Reasoning shown in the summary — real back-and-forth visible; the verdict rule is reasoned, not reflexive (3) | 3 | 2 | 0–1 |
| Correct use of Week-2 concepts — display type, axis floor, and the exaggeration direction/size used accurately (3) | 3 | 2 | 0–1 |
| Engaged a counterpoint — names and genuinely weighs the honest-zoom case (labeled line charts, small real changes…) (2) | 2 | 1 | 0 |
| Peer replies + clarity for a non-expert — two substantive replies applying their rule to classmates' graphs; writing a non-statistician could follow (SLO B) (2) | 2 | 1 | 0 |
Grading note: the posted artifact is the AI-written summary + the chat share link; spot-check a few links against the summaries. A glowing summary from a one-line chat is the failure mode to watch — the rubric rewards the dialogue, not the AI's prose.
Canvas placement block
canvas_object = DiscussionTopic
title = "Week 2 Discussion — The Zoomed-In Axis (adaptive)"
assignment_group = "Discussions"
points_possible = 10
grading_type = points
discussion_type = adaptive
due_offset_days = 4 # initial post (AI summary + chat share link) — two days before week's end
reply_offset_days = 6 # two peer replies — end of the week
published = true
submission_note = "Initial post = the AI discussion summary + the chat share link; then reply to two classmates."