Watch this video. You’re falling into a classic lame argument method, where you search for the least reasonable interpretation possible of someone’s statements and then argue against that ridiculous interpretation. It really doesn’t do any good.
Seriously? I mean, for real? Okay.
I have 2 boxes. One has 20 pounds of tangerines in it. The other has 10 pounds of grapefruit. Do I have more tangerines or grapefruit?
First stop, I suspect you’re trying to trick me, so I ask clarifying questions. Are these normal tangerines and normal grapefruits? Are you talking about quantity or mass? What’s the average weight of each tangerine and grapefruit? Please let me see each box and handle their contents. Are there any parameters to this situation that I should know about?
Assuming that, as a hostile interviewer, you are uncooperative for each of these questions, I’ll answer that I have a greater quantity and mass of tangerines, since on average tangerines are smaller than grapefruits. But I’ll hedge my answer with caveats: if you’ve found some mutant-huge tangerines or if the grapefruits are actually tiny unripe grapefruit buds, or if in some other relevant way these are not what I’m thinking of when I think of tangerines and grapefruit, I’ll need to change my answer.
Look at my thought process in approaching your hypothetical, and watch that video again of the pre-operational kid, and explain to me how my thought process and hers are exactly the same.
What you’re missing from the metaphor is that constructivism is all about getting the STUDENT to construct the knowledge. The teacher’s scaffold is put there to help the students in their own construction: the metaphor suggests that this scaffolding is what we teachers do, rather than building the knowledge for the students.
When we were measuring rainwater in different-shaped containers as part of a unit on measuring weather, one girl said that the largest container would have the least water when measured by cups, because the water barely covered the bottom of the container, whereas the smallest container would have the most water, because it was nearly full. If I’d built her knowledge for her, I would have said, “No, Maria, you’re wrong: the smallest container has the least amount of water in it, because it just can’t hold that much water.”
Because I see a lot of value in constructivist approaches, I just said, “Interesting. You guys ready to measure?” And I showed them how to use the measuring cup to figure it out for themselves. That is, I provided the scaffold (the materials for the experiment, the probing questions that would get them thinking about volume comparisons, and directions how to use the measuring tools), and let them build the knowledge for themselves.
This question is baffling, but FWIW I’ll answer it: neither. Certainly they’re thinking incorrectly. However, that’s not what I was trying to say: rather, I was making a completely different point with that example.