آموزش رياضي ششم
آموزش رياضي، روش تدريس، حل مسئله و نمونه سوال...تيزهوشان!
Learning never really stops in this business, even in your chosen specialty; for instance I am still learning surprising things about basic harmonic analysis, more than ten years after writing my thesis in the topic.
Just because you know a statement and proof of Fundamental Lemma X, you shouldn’t take that lemma for granted; instead, you should dig deeper until you really understand what the lemma is all about:
It is particularly useful to lecture on your field, or write lecture notes or other expository material, even if it is just for your own personal use. You will eventually be able to internalise even very difficult results using efficient mental shorthand; this not only allows you to use these results effortlessly, and improve your own ability in the field, but also frees up mental space to learn even more material.
Another useful way to learn more about one’s field is to take a key paper in that field, and perform a citation search on that paper (i.e. search for other papers that cite the key paper). There are many tools for citation searches nowadays; for instance, MathSciNet offers this functionality, and even a general-purpose web search engine can often give useful “hits” that one might not have previously been aware of.
موضوعات مرتبط: معلمي و روش تدريس، آموزش رياضي، پژوهش
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