Aesthetic judgments transcend both logic and applicability in the ranking of mathematical theorems : beauty and elegance have more to do with the value of a mathematical idea than does either strict truth or possible utility 在數(shù)學(xué)定理的評(píng)價(jià)中,審美標(biāo)準(zhǔn)既重于邏輯的標(biāo)準(zhǔn),也重于實(shí)用的標(biāo)準(zhǔn):在對(duì)數(shù)學(xué)思想的評(píng)價(jià)時(shí),美與優(yōu)雅比是否嚴(yán)密、正確,比是否有用都重要得多。
Chapter two mainly uses qualitative research method , and exploits solo theory as an instrument , according to the content of middle school students " explanation to mathematical concepts , mathematical theorem and problem solving . the primary conclusion is that the mid - school students in our nation as a whole have a low level of conceptual understanding in mathematics 第二章主要利用質(zhì)的研究方法,并以觀察學(xué)習(xí)結(jié)果結(jié)構(gòu)( solo )分類為中學(xué)生數(shù)學(xué)解釋的研究工具,根據(jù)中學(xué)生對(duì)數(shù)學(xué)概念、數(shù)學(xué)定理和問題解決過程中的數(shù)學(xué)解釋內(nèi)容,初步得出我國(guó)中學(xué)生在總體上數(shù)學(xué)概念性理解水平較低