Author: mongreldogs
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FB Recap: Seal and Eagle
Interesting socio-cultural question: In this cover of “Fly Like an Eagle”, Seals sings “I want to fly like an eagle” but omits “till I’m free”, and changes “through the revolution” to “into the future”.These aren’t accidental changes — I wonder what prompted him and what does it say about the times in which the songs were released (1996 versus 1976). Or… was it because Seal’s version was for a major studio film (Space Jam, believe it or not) and the corporate overlords would brook no mention of the revolution? -
Facebook recaps
As usual, I told myself all Spring Break that I should be writing more. Then I realized that I output a noticeable amount of musings, rants, and thoughts — not a flood, but at least a trickle — on Facebook and other social media. I’m going to go through and pull out the longer or (in my opinion) more noteworthy posts and repost them here on Mongrel Dogs. Because self-plagiarism is by far the best kind of plagiarism.
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Math Education and Pandemic
{Editor’s note: Well, this ends up being quite the little snapshot of the early days of the pandemic, for me. I don’t know why I never quite finished it — probably it had something to do with the world igniting — but it’s OK as is, so I’m publishing it. Further years of teaching have only confirmed for me the soundness of the basic thrust.}
The global COVID-19 pandemic has thrown into sharp relief a number of failings of the American system, and one of them is the thrust of math education. It’s been obvious for years that the current paradigm favors abstract symbolic manipulation over practical and intuitive math sense. The explosive propagation of the coronavirus, and the stumbling incoherent response by governmental and business leaders, makes clear that this choice has carried a real human cost.
Put bluntly: It’s time to stop fetishizing the attainment of calculus as the epitome of math education. I taught Precalculus for two years. Looking back, I wish I had hit harder on the chapter on exponential functions. I wish I had done more with real data, more with spreadsheets, more with graphs and interpretations of graphs. I wish I’d spent a couple of months on it, instead of a couple of weeks.
I’d claw the time back by jettisoning, wholesale, the utterly useless chapter on finding polynomial roots. Everything worthwhile in that chapter could be handled in, maybe, four days. I’d probably trim or skip conic sections, too.
Given the chance, I’d lean hard into number sense, too. It’s becoming clear that people are dying because Americans can’t distinguish thousands, millions, and billions. They don’t understand rates-of-change or exponentials. They have no patience for numerical analyses. We make too many judgments using the hard-wired story-telling circuitry of our semi-evolved monkey hindbrain, and we don’t use the vast effective mental technology that’s been invented since 1600.
Americans doubt experts, and why not? We’ve spent decades “educating” them that experts are high priests of a religion beyond their comprehension. When that false god proves fallible, why should they continue to believe? We as educators have failed (miserably) to de-mystify mathematics. We accept the narrative that there are math kids and not-math kids, and we adjust to the confines of that view. Mathematics is both the birthright and the duty of all humankind, and the structures we’ve accepted simply do not recognize that.
My top-of-my-head new Precalculus course would be … well, first, I’d jettison that idea that there should be a precalculus class. A whole year in service of a later course that many won’t even take? Bah. Instead, this is what I’d like to see the mid-level high school math class cover.
- First quarter: number sense and scale
- Second quarter: graphs
- Third quarter: exponentials
- Fourth quarter: statistics
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Books 2020
Evermore
Paris at the End of the World
Godsgrave
Mythos
Darksdawn
Working Futures
Bridge of Spies
Redemption Falls
The Secret Lives of the US Presidents
This is How You Lose the Time War
Cities: The First 6000 Years
World War Z
Middlegame
A Brightness Long Ago (re-read)
The Consuming Fire (re-read)
The Last Emperox
Star Wars: Darth Vader Vol 1: Vader (graphic novel)
The Diamond Age (re-read)
Murderbot 1: All Systems Read
Murderbot 2: Artificial Condition
A Memory Called Empire
The Invisible Hook
Target: Vader (graphic novel)
Renaissance Diplomacy
Binti
Sixteen Ways to Defend a Walled City
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Meh the Force Be With You: Review of Star Wars: The Rise of Skywalker
Spoilers for the final chapter in the Star Wars Saga.
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Flags of Freedom

A US flag with 35 stars in the field, created after West Virginia was added to the Union. So there’s a controversy with Nike again, because Nike pulled a line of shoes showing the so-called Betsy Ross flag. (You’ve seen it — it’s the one with a circle of 13 stars.) It’s not entirely clear why Nike did so. Some sources says it’s because Colin Kaepernick asked them to (and if so, it’s not clear why he did, although Vox claims it’s because “he argued, is pulled from the era of slavery and doesn’t warrant celebration”). Further investigation seems to indicate that some white nationalist groups have started using the “Betsy Ross flag” as an emblem.
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On racism and candy
I originally wrote this in 2015 on Facebook, in response to a meme that ticked me off. (Since the original meme link has decayed, I’m appending a screenshot.) In light of Senate Majority Leader McConnell’s self-serving and tone-deaf comments on reparations, I thought it still a propos. At the least it serve as conclusive proof that I can torture a metaphor with the best of them.
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