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1 
愆惘 惆愃愕 
22  4  2014 
悴悋惺悸 
惡惘慍惠/愕愀
惆 惠 悋惺惠惡悋惘  悋惺惆惆 悖惘 悋 悋 悋 惠愀惘 惆惘悋惠 
悋悖愀悋  悋惘 悋惷 悋惠. 悋 悋惠 悵 悋惆惘悸 愃悋惷悸 悋 
悋 忰惴 悖 悋悖愀悋 悵 悋悋惘悋惠 悋惘 悋惷 悸 悋惺悋 悸 惡惆 
惺惘悸 悴 惆悸 惡悋悖惺惆悋惆 惺悋悋 悋愆悋 惺悋悋惠悋 惺 惡惺惷 
悖惓惘  悋悖愀悋 悵 悋悋惘悋惠 悋惷惺 悸. 惠 惆  
悋惘悸 惺 惠悴慍悧悸 悋惺惆惆 悋惘惠 惡悖惺惆悋惆 悖悽惘. 
2
忰惆 惓悋  悖惶惡忰 悋悋惠悋 悋悖惡惘 惡悋惡 悋悋 悸 
"spatialstructure" 悖愀悋 悋 悋  悖 悸 惠悖惓 惘 
惺  悋惺惘  悋惘 悋惷 悋惠. 悋悋惠悋 惡惺 悋惺惆惆 
 悋忰惆 悴悋悋惠 悋惆惘悸 悋悋 悸. 
惆 惡  惡惘 愕惠    悴悋 悖 悋愀惡悸 悋惡  
悋愕惠悽惆悋 悋惠惓 悋惠 惺惆惆 忰 惡惺惷 悋悋惠 悋惘 悋惷 悸 
悋惺惆悸 惡 悋 悖悋 悋愀惡悸 悵 悋悋惘悋惠 悋悖. 
3
惆 莬惘惠 "悋惡 悋悋 悸" 悖悋 惺 悸 惴悸 悖 惠愆  
 悽 悋 悋愀 悵 惠 慍 悋惠惷 忰 惡  悋悖悋愀 
悋悽惠悸 悖惺惆悋惆. 
4
悒惆惘悋 悖 悖 惺惆惆   悖惺惆悋惆 悋  惓悋 : 5 = 3 + 2 悛 
1 + 4 . 悵悋 惆 悖 悋忰悋悧 悋惺惆惆 悸  愕 惶悸 惡悋惠悋 悋 忰惠悋悴 
忰惴悋.悋悖 悋 惠惶惘 悋悖愀悋  悵 悽悋惶 悸 惺惆 
悋愕惠悽惆悋 悖惺惆悋惆  忰 悋惺 悋惠 悋忰愕悋惡 悸 悋惺惆悸. 
悋惺悋悋惠 惡  悋悖惺惆悋惆 惠惠惓  悴慍悄   悋 悋 悋 
 惡悋悗 悒悋  悽悋 悋惘悋忰惴 悋愀 悖惺惆悋惆 悋 惺 惡悋惷惘惘悸 惆惘惠 惺 惠惴   悋惺 悋惠 悋忰愕悋惡 悸 悋惺惆悸. 惓悋 
惺惆 惘 忰悴惘 悋惘惆  慍 悋愀 惡愕悸 惡  悋惺惆惆 5  6   忰 惓 
惠惘惠 惡 悋悋愀  惘惡愀 惡  悋愆 悋惠惘惠 惡 惺惆惆 3 悖 2 悋惺惆惆 6 
悵 惡悋愕惡悸 惺惆惆 5 . 
5
6
悋惆惘悸 惺 悒悴惘悋悄 悋惺 悸 悋忰愕悋惡 悸 惆 悋悴悄 悒 悋惺惆. 
悖 悖 惺愀 悋愀 悋惺惆惆 惘 悋 . 
 悋 悛惘悋悄 惠愆 惘 悒 悋 悒悵悋 悋 悋愀 忰悋愀 悋 
惡悴惺悸  悋悖惘悋 悋悖惡惘 惺惘 悋  惠惺惘菀 悋愕惠惘 
悖愕悋悄 悋悖惺惆悋惆 悴惺 悋惆惘 悋 惺 惠  悋惘悋惡愀 惡  
悋愕 悋惠 悋悖愆悋 悋悖惺惆悋惆. 悋愀 悋惺惠悋惆 惺 忰悴惘 
悋惘惆  忰惠悋悴 惺惆 悋悋愀   惘悸  悵 悋 惆 
惺  悋惺 悋忰  惺惆惆 3 惘惡悋 惆 惺 忰惴 悋愆 
愀. 
7
 悋悴惆 惘 悵惘 悋 悖 悸 悒惺愀悋悄 悋惺惆惆 惷 惠惘惠 惡悋惠 
悽惠悸 悵 愀惘忰 悋惺惆惆 惷 惠愕 悋惠 惶惘 悽惠悸. 
悋惷 悋惶  悋悖悋愀 悋惡惶惘 悸 惠 悋愀  惠  
悋惺惆悸 惠 悸  惺悋悋惠 悋悴慍悄- 惡  悋悖惺惆悋惆. 
8
忰惠悋悴 悒 忰悴惘 惘惆 忰悴 惡 惘 愆 悋愀惡悸 惆悋悧惘悸  悴愕 
愀悋惡 惆悋悽 悵 悋惆悋悧惘悸 悋惓悋 悽悋惘悴悋 惺 忰悴惘 悋惘惆.  
  忰悴惘 悋惘惆 惡惘  惺 ル 惡惆悋悽 悋惆悋悧惘悸 悖 悽 
悋惺惆惆 悋悋惠悴 悒悵悋 悽 悽惘悴  悋惆悋悧惘悸 悒悋 惡  悋惆悋悧惘悸 悖 
惺愀 悸 忰愕悋惡 悸 惡惆 悸. 
悵  悒悴惘悋悄 悋惺惡悸 惡忰悴惘 惘惆 惓 悒悴惘悋悄 悖 惺 悸 
忰愕悋惡 悸 悋愕惡悸 惺 悋悖惘悋 悋悋惠悴悸. 
9

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Early spatial thinking and the development on number

  • 1. 1 愆惘 惆愃愕 22 4 2014 悴悋惺悸 惡惘慍惠/愕愀
  • 2. 惆 惠 悋惺惠惡悋惘 悋惺惆惆 悖惘 悋 悋 悋 惠愀惘 惆惘悋惠 悋悖愀悋 悋惘 悋惷 悋惠. 悋 悋惠 悵 悋惆惘悸 愃悋惷悸 悋 悋 忰惴 悖 悋悖愀悋 悵 悋悋惘悋惠 悋惘 悋惷 悸 悋惺悋 悸 惡惆 惺惘悸 悴 惆悸 惡悋悖惺惆悋惆 惺悋悋 悋愆悋 惺悋悋惠悋 惺 惡惺惷 悖惓惘 悋悖愀悋 悵 悋悋惘悋惠 悋惷惺 悸. 惠 惆 悋惘悸 惺 惠悴慍悧悸 悋惺惆惆 悋惘惠 惡悖惺惆悋惆 悖悽惘. 2
  • 3. 忰惆 惓悋 悖惶惡忰 悋悋惠悋 悋悖惡惘 惡悋惡 悋悋 悸 "spatialstructure" 悖愀悋 悋 悋 悖 悸 惠悖惓 惘 惺 悋惺惘 悋惘 悋惷 悋惠. 悋悋惠悋 惡惺 悋惺惆惆 悋忰惆 悴悋悋惠 悋惆惘悸 悋悋 悸. 惆 惡 惡惘 愕惠 悴悋 悖 悋愀惡悸 悋惡 悋愕惠悽惆悋 悋惠惓 悋惠 惺惆惆 忰 惡惺惷 悋悋惠 悋惘 悋惷 悸 悋惺惆悸 惡 悋 悖悋 悋愀惡悸 悵 悋悋惘悋惠 悋悖. 3
  • 4. 惆 莬惘惠 "悋惡 悋悋 悸" 悖悋 惺 悸 惴悸 悖 惠愆 悽 悋 悋愀 悵 惠 慍 悋惠惷 忰 惡 悋悖悋愀 悋悽惠悸 悖惺惆悋惆. 4
  • 5. 悒惆惘悋 悖 悖 惺惆惆 悖惺惆悋惆 悋 惓悋 : 5 = 3 + 2 悛 1 + 4 . 悵悋 惆 悖 悋忰悋悧 悋惺惆惆 悸 愕 惶悸 惡悋惠悋 悋 忰惠悋悴 忰惴悋.悋悖 悋 惠惶惘 悋悖愀悋 悵 悽悋惶 悸 惺惆 悋愕惠悽惆悋 悖惺惆悋惆 忰 悋惺 悋惠 悋忰愕悋惡 悸 悋惺惆悸. 悋惺悋悋惠 惡 悋悖惺惆悋惆 惠惠惓 悴慍悄 悋 悋 悋 惡悋悗 悒悋 悽悋 悋惘悋忰惴 悋愀 悖惺惆悋惆 悋 惺 惡悋惷惘惘悸 惆惘惠 惺 惠惴 悋惺 悋惠 悋忰愕悋惡 悸 悋惺惆悸. 惓悋 惺惆 惘 忰悴惘 悋惘惆 慍 悋愀 惡愕悸 惡 悋惺惆惆 5 6 忰 惓 惠惘惠 惡 悋悋愀 惘惡愀 惡 悋愆 悋惠惘惠 惡 惺惆惆 3 悖 2 悋惺惆惆 6 悵 惡悋愕惡悸 惺惆惆 5 . 5
  • 6. 6
  • 7. 悋惆惘悸 惺 悒悴惘悋悄 悋惺 悸 悋忰愕悋惡 悸 惆 悋悴悄 悒 悋惺惆. 悖 悖 惺愀 悋愀 悋惺惆惆 惘 悋 . 悋 悛惘悋悄 惠愆 惘 悒 悋 悒悵悋 悋 悋愀 忰悋愀 悋 惡悴惺悸 悋悖惘悋 悋悖惡惘 惺惘 悋 惠惺惘菀 悋愕惠惘 悖愕悋悄 悋悖惺惆悋惆 悴惺 悋惆惘 悋 惺 惠 悋惘悋惡愀 惡 悋愕 悋惠 悋悖愆悋 悋悖惺惆悋惆. 悋愀 悋惺惠悋惆 惺 忰悴惘 悋惘惆 忰惠悋悴 惺惆 悋悋愀 惘悸 悵 悋 惆 惺 悋惺 悋忰 惺惆惆 3 惘惡悋 惆 惺 忰惴 悋愆 愀. 7
  • 8. 悋悴惆 惘 悵惘 悋 悖 悸 悒惺愀悋悄 悋惺惆惆 惷 惠惘惠 惡悋惠 悽惠悸 悵 愀惘忰 悋惺惆惆 惷 惠愕 悋惠 惶惘 悽惠悸. 悋惷 悋惶 悋悖悋愀 悋惡惶惘 悸 惠 悋愀 惠 悋惺惆悸 惠 悸 惺悋悋惠 悋悴慍悄- 惡 悋悖惺惆悋惆. 8
  • 9. 忰惠悋悴 悒 忰悴惘 惘惆 忰悴 惡 惘 愆 悋愀惡悸 惆悋悧惘悸 悴愕 愀悋惡 惆悋悽 悵 悋惆悋悧惘悸 悋惓悋 悽悋惘悴悋 惺 忰悴惘 悋惘惆. 忰悴惘 悋惘惆 惡惘 惺 ル 惡惆悋悽 悋惆悋悧惘悸 悖 悽 悋惺惆惆 悋悋惠悴 悒悵悋 悽 悽惘悴 悋惆悋悧惘悸 悒悋 惡 悋惆悋悧惘悸 悖 惺愀 悸 忰愕悋惡 悸 惡惆 悸. 悵 悒悴惘悋悄 悋惺惡悸 惡忰悴惘 惘惆 惓 悒悴惘悋悄 悖 惺 悸 忰愕悋惡 悸 悋愕惡悸 惺 悋悖惘悋 悋悋惠悴悸. 9