Thank God for "In Other Words...

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Discussion Overview

The discussion revolves around the challenges students face in understanding technical explanations in mathematics and physics textbooks. Participants express their experiences with comprehension and the role of simpler explanations or examples in facilitating understanding.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants find that technical explanations in textbooks often lead to confusion, and simpler phrases like "in other words" help clarify complex ideas.
  • One participant suggests that in mathematics, definitions should be clear enough to be understood without extensive additional explanation, possibly with a few examples.
  • Another participant notes that a significant aspect of mathematics education involves learning to interpret complex texts.
  • Several participants express difficulty in comprehending physics texts, often requiring reiteration from teachers to grasp the material.
  • One participant mentions that confidence in understanding the material plays a crucial role, suggesting that repeated exposure and reassurance can enhance comprehension over time.
  • There is a suggestion that different textbooks can provide varied explanations that may aid in understanding the same concepts.

Areas of Agreement / Disagreement

Participants generally agree on the difficulties posed by technical language in textbooks and the importance of examples for understanding. However, there is no consensus on whether the issue is primarily one of language or confidence in comprehension.

Contextual Notes

Some participants highlight that the effectiveness of explanations may depend on the author's ability to communicate ideas clearly, while others emphasize the role of the reader's confidence and experience in the subject matter.

Jammin_James
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"In other words... "

Thank god for that phrase.

Is it just me or can no one else understand something explained in a textbook in a more technical manner?

Usually my brain is on the verge of exploding until that phrase pops up or an example is presented. After that I'm like, "Oh! That's what they're saying".

I understand the need to be precise... but is the typical student supposed to understand these definitions like a first language?
 
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Example? In math at least, most definitions are expected to be understood by the reader without further explanation beyond perhaps a couple examples or a clarifying statement to make it clear why you are interested in the definition
 


A big part of maths education is about learning how to read texts like that.
 


I know where you're coming from though, especially with physics texts. I find it extremely hard to comprehend their explanations, and usually require a teacher's reiteration.
 


I'm also like that. I find it difficult to learn math deductively, and I always need a few examples. Also one thing that helps is to buy different textbooks to have different explanations of the same thing.
 


This is more an issue of confidence in the topic than the language. Certainly there is the odd text where the author has either intentionally obscured his train of thought so you are left to believe "How the hell did he do that?!" or the author is simply incapable of communicating their ideas in any other way. (See some of Weiner's mathematical papers...). But in most cases that's simply the language that is used to communicate the ideas.

It really comes down to a lack of confidence in yourself and your ability to understand the material. The more you work in the field the more that goes away. I know for a long time I never felt confident that I had gotten the whole picture until I had someone else (a professor for ex.) tell me exactly what I was thinking. Its simply that reassurance that you haven't missed somthing vital that makes the understanding set in.

In other words... the more you work at it the more understanding you develop for what the language means. Once the confidence is there, everything flows like wine... or with wine... something like that.
 

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