告诉你让你觉得数学那么难学的真正原因
<p><span word="Language">Language</span> <span word="is">is</span> <span word="hard">hard</span>. <span word="In">In</span> <span word="fact">fact</span>, <span word="it">it</span>'<span word="s">s</span> <span word="infinitely">infinitely</span> <span word="harder">harder</span> <span word="and">and</span> <span word="more">more</span> <span word="complicated">complicated</span> <span word="than">than</span> <span word="math">math</span>. <span word="And">And</span> <span word="yet">yet</span>, <span word="nearly">nearly</span> <span word="every">every</span> <span word="small">small</span> <span word="child">child</span> <span word="can">can</span> <span word="learn">learn</span> <span word="and">and</span> <span word="master">master</span> <span word="language">language</span>.</p><p>语言真的很难。老实讲，它比数学要复杂得多，也困难得多。不过，几乎所有的小孩子都能够学习并且熟练掌握一门语言。</p><p><span word="Why">Why</span> <span word="is">is</span> <span word="math">math</span> <span word="so">so</span> <span word="overwhelming">overwhelming</span> <span word="for">for</span> <span word="so">so</span> <span word="many">many</span> <span word="students">students</span>? <span word="And">And</span> <span word="how">how</span> <span word="high">high</span> <span word="is">is</span> <span word="the">the</span> <span word="price">price</span> <span word="we">we</span> <span word="pay">pay</span> <span word="from">from</span> <span word="having">having</span> <span word="so">so</span> <span word="many">many</span> <span word="math">math</span>-<span word="terrified">terrified</span> <span word="or">or</span> <span word="even">even</span> <span word="math">math</span>-<span word="illiterate">illiterate</span> <span word="people">people</span> <span word="in">in</span> <span word="our">our</span> <span word="society">society</span>? <span word="Too">Too</span> <span word="high">high</span>, <span word="especially">especially</span> <span word="as">as</span> <span word="the">the</span> <span word="ability">ability</span> <span word="to">to</span> <span word="grasp">grasp</span> <span word="data">data</span> <span word="and">and</span> <span word="pursue">pursue</span> <span word="advanced">advanced</span> <span word="work">work</span> <span word="that">that</span> <span word="involves">involves</span> <span word="math">math</span> <span word="is">is</span> <span word="becoming">becoming</span> <span word="increasingly">increasingly</span> <span word="important">important</span> <span word="for">for</span> <span word="both">both</span> <span word="citizens">citizens</span> <span word="and">and</span> <span word="job">job</span> <span word="applicants">applicants</span>.</p><p>那到底为什么数学会让许多学生觉得无所适从呢？而因社会上这些“数学恐惧症患者”，甚至是“数学盲”的存在，我们又得付出多大的代价呢？这代价简直太大了，尤其是在当今社会，获取数据和从事高难度工作越来越成为普通人和求职者的必备能力。</p><p><span word="It">It</span> <span word="often">often</span> <span word="starts">starts</span> <span word="with">with</span> <span word="the">the</span> <span word="problem">problem</span> <span word="of">of</span> <span word="teaching">teaching</span> <span word="math">math</span> <span word="in">in</span> <span word="the">the</span> <span word="abstract">abstract</span>. <span word="This">This</span> <span word="misses">misses</span> <span word="the">the</span> <span word="remarkable">remarkable</span> <span word="amount">amount</span> <span word="of">of</span> <span word="mathematical">mathematical</span> <span word="knowledge">knowledge</span> <span word="that">that</span> <span word="we">we</span> <span word="humans">humans</span> <span word="already">already</span> <span word="possess">possess</span>. <span word="We">We</span> <span word="know">know</span> <span word="how">how</span> <span word="to">to</span> <span word="solve">solve</span> <span word="for">for</span> <span word="unknowns">unknowns</span>, <span word="for">for</span> <span word="example">example</span>. <span word="That">That</span>'<span word="s">s</span> <span word="algebra">algebra</span>. <span word="We">We</span> <span word="also">also</span> <span word="are">are</span> <span word="able">able</span> <span word="to">to</span> <span word="think">think</span> <span word="in">in</span> <span word="terms">terms</span> <span word="of">of</span> <span word="three">three</span> <span word="dimensional">dimensional</span> <span word="spaces">spaces</span>—<span word="that">that</span>'<span word="s">s</span> <span word="geometry">geometry</span> <span word="and">and</span> <span word="trigonometry">trigonometry</span>. <span word="So">So</span> <span word="this">this</span> <span word="mathematical">mathematical</span> <span word="language">language</span> <span word="is">is</span> <span word="the">the</span> <span word="analytical">analytical</span> <span word="expression">expression</span> <span word="of">of</span> <span word="the">the</span> <span word="way">way</span> <span word="we">we</span> <span word="already">already</span> <span word="think">think</span>.</p><p>问题一开始出在数学的抽象教学上。这就让我们错过了大量我们本身就具有的数学知识。我们知道如何去解决未知的东西，那么这就是代数。我们也知道用三维空间去思考--这就是几何学和三角学。这门数学语言其实就是我们思维方式的解析式。</p>
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