Week 11 — More Dogs or More Animals? Reading Class Inclusion and Conservation — Traditional alternative (no AI)
Instructors: publish this instead of the adaptive version if you prefer, and unpublish or delete the adaptive one.
Assignment 10 of the term — work the class-inclusion counts from Piaget's standard task, read the running case's record R6 with two theories, and explain a child's "more dogs" to a parent who is worried about it.
This week you met physical growth in middle childhood, Piaget's concrete operational stage, conservation and reversibility, classification, class inclusion, and seriation, information processing, metacognition, the learning-styles evidence, and IQ scores and multiple intelligences. In this assignment you work four short problems, interpret each one, and explain a child's reasoning to a parent who is worried about it. This week's lecture tutorial, quiz, discussion, and Child Observation Workshop practice the same ideas from other angles. It builds on Week 9's preoperational stage, when a child's answer follows how things look, and on Week 3's habit of keeping what a child did apart from what it might mean.
The task
Dataset D is the course's set of standard Piaget tasks, each with a typical earlier and later response. In its class-inclusion task, a child is shown 7 dogs and 3 cats and asked, "Are there more dogs or more animals?" A child in the preoperational stage, at about 2 to 7, typically says "more dogs"; a child in the concrete operational stage, at about 7 to 11, typically says "more animals". The ages are approximate. The running case is an illustrative, unnamed child built for this course; it describes no real child. Record R6 was written at 7 years in an after-school program: after water is poured from a short, wide glass into a tall, thin glass, the child says it is "the same, because you just poured it — you could pour it back".
At an illustrative family science night, a parent watches a 6-year-old say "more dogs" during a class-inclusion game and asks, "Does that mean my child can't count? Should we practice saying 'more animals' until it sticks?" Your job is to answer the way a child development student would, starting from a few plain numbers.
Work these four problems, showing your arithmetic:
- In Dataset D's class-inclusion task, a child is shown 7 dogs and 3 cats. How many animals are there in all?
- In the same task, how many more animals are there than dogs?
- In the same task, what percent of the animals are dogs?
- In the same task, the cats are 30 percent of the animals. How many percentage points apart are the dogs' share from P3 and the cats' share?
Beside each value, add one brief interpretation:
- Problem 1: place the two typical responses on Dataset D ("more dogs" as the preoperational response, "more animals" as the concrete operational response), and explain class inclusion in plain words as a smaller group being part of a larger group.
- Problem 2: use your count to explain why "more animals" shows class inclusion, and why the child who says "more dogs" is comparing dogs with cats rather than miscounting.
- Problem 3: read record R6 with what the child said written apart from what it might mean, name the reason as reversibility, and place R6 on Dataset D's conservation-of-liquid task; note that R6 carries no class-inclusion task.
- Problem 4: explain why the gap is stated in percentage points, then compare two theories on record R6 — Piaget's account of reversibility in the concrete operational stage and the information-processing view of working memory and gradual growth — and end in one plain sentence.
Explain it to a non-expert
Write a 3–5 sentence message to the parent at the science night. Explain, in everyday words, what class inclusion is, that a child who says "more dogs" can usually count but is comparing the dogs with the cats instead of with all the animals, and that drilling the words "more animals" would not show the reasoning, because the reason a child gives is the evidence. Name one limit, such as that Piaget's ages are approximate, that one game shows one moment rather than the whole child, or that questions about one child's learning belong with that child's teacher. Be respectful: the parent is curious and caring. More than one good message is possible.
For a different, ungraded example, imagine a neighbor who reads a bakery sign that says "Most of our 12 loaves are whole wheat; 8 of them are seeded whole wheat" and asks whether the seeded loaves are "extra" loaves. Model message: "The seeded loaves are not extra; they are part of the whole-wheat loaves, the way a smaller box fits inside a bigger one. So the whole-wheat group is always at least as big as the seeded group inside it. One fair caveat: the sign does not say how many loaves are whole wheat in all, so we only know that it is at least 8."
Use that pattern for the parent, with your own wording and evidence.
Your reflection. After you check your draft, write two or three sentences on one of these, your choice: (a) which problem changed how you would talk with a family about a child's reasoning, and why; or (b) which word or phrase in your first draft you replaced, and what the new wording gets right.
Deliverables
Submit a single report containing:
- the four values, each with the counts or shares and the arithmetic shown, and the brief interpretation the task names for that problem;
- your message to the parent, explaining class inclusion and why the reason a child gives is the evidence, with one limit;
- your reflection, on the option you chose; and
- a one-line restatement of the counts and shares you used, so your values can be checked.
Keep it to roughly one page. Clear and correct beats long.
Choose how you show it. Present your report as written text, or as a recorded audio or video explanation of about three minutes with a transcript, or as a labelled sketch of the dogs inside the group of animals with a short explanation. Every form is graded by the same scoring criteria. 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.
How you'll be graded
The full analytic rubric is attached to this assignment in Canvas.
Academic integrity and AI use
This version is designed to be completed without AI: do the counts, the interpretations, and the writing yourself, without any AI tool. You may use a calculator or a spreadsheet for the arithmetic. Describe record R6 only as the course describes it, name people only by role, write every stage age as an approximate range rather than a deadline, never judge or label a real child, and state the learning-styles evidence only as the course states it. Submitting AI-generated work as your own, or copying another student's work, is an integrity violation under the course policy.
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