Criminal offences in maths textbooks

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Math textbooks often contain significant errors that can confuse students, such as incorrectly asserting that negative numbers cannot be square-rooted, leading to misconceptions about complex numbers. Misuse of the equals sign is another major issue, exemplified by textbooks stating that the square root of 2 equals 1.41 without clarification. Additionally, questions about the domain of functions can mislead students into thinking a function is merely a computable expression. Authors frequently fail to provide adequate derivations for formulas, which can hinder students' understanding. Overall, these practices detract from the educational value of math textbooks and can negatively impact students' learning experiences.
  • #31
The Boubaki syndrome really means the writing of mathematics in its 'purest' form, i.e. statements with minimal hypotheses and a very dry style without motivation and in principle from the ground up. The lay reader at this point should not think that by motivation I mean solving a problem in the real world. I mean explaining the reasons why one might wish to prove such a theorem.

The style has its benefits, and its drawbacks, naturally. The reader can decide for themselves if they want articles with lots of statements like 'let M be a monoid, now...'
 
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  • #32
Theorem n.m

Blablabla (insert an arbitrary theorem here) blabla.

Proof: See exercise p.q \square

...
...
...

Exercise p.q.

Prove theorem n.m.Okey I understand that sometimes it is reasonable to leave proofs as exercises, but on the other hand sometimes it is not even reasonable. It can be impossible for a student to do it without asking somebody how knows it. When I saw this for some couple first times, I actually eagerly searched the exercise in hope of finding hints for the proof. But there's no hints ever, just the dry "Prove theorem n.m." Besides, if there's no hints given in the exercise, then why should the reader see it for the proof?
 
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  • #33
this exercise should be followed by the words "gotcha!"
 
  • #34
It would be reasonable if they provided you with enough information to do the proof yourself but in some cases I've known they use something that isn't even covered in the text.
 
  • #35
Criminal offenses in math textbooks:

#2 Useless diagrams.
Refer to fig 1.a on page#<somepagefaraway>,
fig 1.a (a right triangle with the right angle <ABC labeled 90 degrees)
what is the sin of angle <ABC?
Just say what is sin(90) !

When they make you do problems according to the diagram *they* assign, using the variables *they* pick, so you have to flip back and forth to their stupid pictures and premises. Just so you have to use *their* book! I know what sin90 is but what the hell is sin (<ABC) is unless I buy their textbook?!
 
  • #36
matt grime said:
The Boubaki syndrome really means the writing of mathematics in its 'purest' form, i.e. statements with minimal hypotheses and a very dry style without motivation and in principle from the ground up. The lay reader at this point should not think that by motivation I mean solving a problem in the real world. I mean explaining the reasons why one might wish to prove such a theorem.

The style has its benefits, and its drawbacks, naturally. The reader can decide for themselves if they want articles with lots of statements like 'let M be a monoid, now...'

I did a google on "Boubaki syndrome", and it yielded one single hit - which was this very page. Though I think I'm pretty sure from the discussion provided here what is meant by the term, I'm curious as to whether it is the actual name of the phenomenon?

I do not doubt, though, that there are several authors to whom one could argue that the phenomenon was attributable to the extent that eponymocity is justified.
 
  • #37
It helps to spell Bourbaki right. :smile:
 
  • #38
Nesk said:
I did a google on "Boubaki syndrome", and it yielded one single hit


woo-hoo, we're a googlewhack. That means I've now been a googlewhackee twice.
 
  • #39
jhat21 said:
Criminal offenses in math textbooks:

#2 Useless diagrams.
Refer to fig 1.a on page#<somepagefaraway>,
fig 1.a (a right triangle with the right angle <ABC labeled 90 degrees)
what is the sin of angle <ABC?
Just say what is sin(90) !

When they make you do problems according to the diagram *they* assign, using the variables *they* pick, so you have to flip back and forth to their stupid pictures and premises. Just so you have to use *their* book! I know what sin90 is but what the hell is sin (<ABC) is unless I buy their textbook?!

I have something similar to this. My calculus booked had a theorem and stated (proof in section 14.3) We were in Chapter 7. I look ahead to find the proof and turned out...the proof wasn't there.
 

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