Author Topic: Defamiliarization in Mathematics ?  (Read 655 times)

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  • Cyclothymic Layabout
Revelation:  Those proof-based texts they were experimenting with in the 1960's/1980's [Frank Allen et al including Mary Dolciani and Edwin Beckenbach] were far too majestically advanced for high school students, hence the nervous breakdowns.  They could prove useful to those who are drawn to the Quest for Teaching Themselves Things Their Teachers May Not Have Understood.

Where these texts/courses have proved invaluable to me as an aged mathematically inclined computer programmer /SLASH/ computationally inclined math hobbyist [dead-Beat pHilosopher], is that I can combine the old school hand-written techniques with the bleeding-edge Open Source Computer Algebra Systems as well as personal collection of math-oriented C++ programs [all inspired by re-working through the Encyclopedic Thought Provoking Exercises, including proofs of theorems translated into computer programs as a tired old toothless  & bald-headed Twig Man, rather than as a suicidal teenager].  Eureka.  It's all upside down and backwards as per usual.   Maybe my working diligently through these texts over these years, leaving a trail of organized notes and programs is actually a work of significance for older students rather than "traditional high school jailbirds".

I mean, the books can be approached as a Religious Vocation [rather than as Robo-Scientist-Business-WizKid Training] which may lead to nervous breakdowns in more sensitive students not well-groomed for such Mental Pressures during the topsy-turvy chaos of adolescence [contemplating the philosophy of suicide may take precedence over even the most captivating cerebral abstractions, cognitions, and cogitations].

Now, as one who most likely "ought to be dead or not born," it is a real blessing, this reawakening interest and devotion to an Edifice of Thought.

Also, thoughts of my nephew and how a study of the Cartwright biography of Schopenhauer might help him deal with the estrangement from his own mother, my sister.   Whereas the power of Schopenhauer's intellect may have been what blew my nephews mind as a teenager, I think that the living pain of Schopenhauer's lived-reality, all that intense and painful agony/hatred/anger---and-universal-compassion-for-all-that-is, I think that as one ages, these issues become something that has shaped character (damage is done?).  My mother shows me affection, so in this way Schopenhauer's emotional life is more closely akin to my nephew's than my own.

« Last Edit: May 28, 2019, 11:48:19 pm by H »
He [Arthur Schopenhauer] has been the most radical of all troublemakers. He was defiant. ~ (Marcuse?)

"Learning math is never a waste of time." ~ Ivan Savov

"Programming is understanding."  ~ Kristen Nygaard