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Let's have students make box blots during "Making Box Plots"! #2111

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retabak opened this issue Jul 10, 2024 · 6 comments
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Let's have students make box blots during "Making Box Plots"! #2111

retabak opened this issue Jul 10, 2024 · 6 comments
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@retabak
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retabak commented Jul 10, 2024

It seems odd that we don't, especially when we do have students draw histograms by hand. I think actually going through the process of making the display yourself builds intution.

Oooh, or, even better!: We could have students create histograms and box plots for the SAME (very small, very simple) datasets. For the histograms, we would give them structure (e.g. bin size provided, y-axis intervals labeled) like we do on making-histograms.

Match box plots and histograms is quite challenging; I think an exercise like this could build intution around the connection between box plots and histograms. Currently, I'm not sure that we offer enough guidance for teachers on how to do this / support students who are struggling with it.

For the time being, this could be an optional page which gets added to the workbook in the future.

@schanzer
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@retabak don't they draw them here?

@retabak
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retabak commented Jul 12, 2024

Tbh, I thought the purpose of that page was to have students try out the box-plot function in Pyret. That worksheet is, in my opinion, pretty close to useless. The only questions that require any thinking at all are Q4 and Q8. Kids are literally just copying information. There is no use of Pyret on the "Make a Histogram" page; if there were... that page would be useless, also.

Here's the sort of problem that we need (from Illustrated Math, 6th grade):
image

Making a box plot is not terribly complicated; if we're worried about it taking too much time, we could order the numbers least to greatest.

We are TELLING students that each section of the box plot represents 25% of the data, but they never actually see that for themselves.

I also proposed, in my original message, that we have students create histograms from the same small & simple datasets, which would help with matching box plots and histograms.

@flannery-denny
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I agree that students should make a box plot from a dataset and I'll tackle it.

I disagree that the page already in the book is useless. I don't think the connection between the 5-number summary and the box-plot is fully intuitive and I think having students find the information in pyret and forge that connection might help them know what all of the terms mean and all the places they can look to find them.

@flannery-denny flannery-denny self-assigned this Jul 12, 2024
@flannery-denny flannery-denny added this to the 2025 milestone Jul 12, 2024
@retabak
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retabak commented Jul 12, 2024

@flannery-denny - maybe we should modify the existing page to NOT use pyret at all, e.g, we could provide a 5-number summary and have students sketch the box plot. I don't think that students are "forging a connection" because they don't actually need to create the boxplot themselves; they can just sketch the boxplot that appears in Pyret.

@schanzer
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@retabak this is a good idea! And since we're still uploading new drafts of the workbook, maybe there's a way to change this page such that:

  • teachers using the current version aren't disrupted
  • teachers using the new version get the new-and-improved stuff

@retabak
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retabak commented Jul 12, 2024

whoever works on this should also address #2118 !

@flannery-denny flannery-denny mentioned this issue Jul 24, 2024
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@flannery-denny flannery-denny removed this from the 2025 milestone Jul 24, 2024
flannery-denny added a commit that referenced this issue Aug 8, 2024
… histograms, incorporate variability into all lesson references to statistical questions, add a page for practicing making a box plot by hand (see #2129, #2111, #2104, #2085)
@schanzer schanzer added this to the August 15, 2024 milestone Aug 8, 2024
flannery-denny added a commit that referenced this issue Aug 13, 2024
* teach about how to make a box plot, introduce comparing box plots and histograms, incorporate variability into all lesson references to statistical questions, add a page for practicing making a box plot by hand (see #2129, #2111, #2104, #2085)
* [DS] add more box-plot contracts to our langtable
* [DS] use @ifsoln to show the word 'teacher', rather than @teacher (closes #2140)
* finalize box plots lesson in response to pull request updates (see #2139, #2129)
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