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高考中的數學文化 版權信息
- ISBN：9787121316371
- 條形碼：9787121316371 ; 978-7-121-31637-1
- 裝幀：一般輕型紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>
高考中的數學文化 本書特色
教育部考試中心以正式文件明確提出在高考數學考題中要體現數學文化，這是一個明顯的信號：要求學生加強對數學文化知識的學習，自覺地、有針對性地重視對數學文化修養的提升。 本書創新性地從“以數化人”與“人數學化”兩個角度來談數學文化，對數學文化在數學歷史、數學精神、數學應用、數學之美、數學語言、交匯拓展、數學游戲等各個主題上都作出了全面透徹的剖析和論述。除此之外，作者還結合歷年高考數學試題進行具體的案例分析，以此讓高考生能夠精準消化吸收高考中的各種數學文化知識。 對高中生而言，這是一部讓他們明確數學文化“是什么”“怎么考”“怎么練”，為備考數學文化提供清晰學習方向的紅寶書；對數學教學工作者或研究者而言，這是一部系統揭示命制背景、展示解題過程、凸顯數學文化價值的寶貴內參書；對于廣大的數學文化愛好者而言，這又是一部讓人崇尚真理，凈化心靈，提升文化修養和文化品格的數學美書。
高考中的數學文化 內容簡介
★為什么要學習數學文化？其實這個問題也等同于為什么要學習數學。數學本身就是一種文化，所以這本書旨在幫助學生形成良好的數學思維能力，掌握解決問題的方法，培養理性精神。 ★現在的高考試題越來越注重考生解決問題的能力，倘若只會刷題而不能理解題中真意將會寸步難行。本書以文化為內核，將理論、方法、歷史、文化融為一體，知識性、趣味性和實操性完美結合。 ★數學家顧沛高度贊賞的數學文化典范之作，中國科學院院士陳佳洱、王大中聯袂誠意推薦，適合高中生及教學工作者使用。
高考中的數學文化 目錄
**章 數學文化總論 ··················································································· 1
**節 什么是數學文化 ········································································ 1
第二節 數學文化的四個層面 ································································· 3
一、知識系統 ······················································································· 4
二、工具系統 ······················································································· 4
三、價值系統 ······················································································· 5
四、史實系統 ······················································································· 7
第三節 數學文化的人本特性 ································································· 7
一、精神特性 ······················································································· 8
二、物質特性 ······················································································· 8
三、行為特性 ······················································································· 9
四、審美特性 ······················································································· 9
第二章 數學歷史 ························································································ 11
**節 數學名著 ················································································ 11
一、《九章算術》 ················································································ 12
二、《數書九章》 ················································································ 19
三、《算數書》 ··················································································· 24
第二節 數學故事 ················································································ 27
一、畢達哥拉斯的故事 ········································································· 27
二、高斯的故事 ·················································································· 36
三、哥德巴赫的故事 ············································································ 41
第三節 數學名題 ················································································ 44
一、米勒問題 ····················································································· 45
二、斐波那契數列 ··············································································· 57
三、阿基米德窮竭法 ············································································ 66
四、柯西不等式 ·················································································· 73
五、角谷猜想 ····················································································· 80
六、阿波羅尼奧斯圓 ············································································ 85
七、回文數 ························································································ 93
八、勾股數 ························································································ 98
九、平均數 ······················································································· 101
十、皮克定理 ···················································································· 108
十一、數字黑洞 ················································································· 114
十二、伯努利不等式 ··········································································· 119
十三、正整數方冪和 ··········································································· 124
十四、切比雪夫多項式 ········································································ 130
十五、馬爾科夫定理 ··········································································· 135
十六、四色問題 ················································································· 143
十七、萊布尼茨三角形 ········································································ 146
十八、黃金分割比 ·············································································· 151
第三章 數學精神 ······················································································· 155
**節 理性求真 ··············································································· 155
第二節 創新意識 ··············································································· 167
第四章 數學應用 ·······················
**節 什么是數學文化 ········································································ 1
第二節 數學文化的四個層面 ································································· 3
一、知識系統 ······················································································· 4
二、工具系統 ······················································································· 4
三、價值系統 ······················································································· 5
四、史實系統 ······················································································· 7
第三節 數學文化的人本特性 ································································· 7
一、精神特性 ······················································································· 8
二、物質特性 ······················································································· 8
三、行為特性 ······················································································· 9
四、審美特性 ······················································································· 9
第二章 數學歷史 ························································································ 11
**節 數學名著 ················································································ 11
一、《九章算術》 ················································································ 12
二、《數書九章》 ················································································ 19
三、《算數書》 ··················································································· 24
第二節 數學故事 ················································································ 27
一、畢達哥拉斯的故事 ········································································· 27
二、高斯的故事 ·················································································· 36
三、哥德巴赫的故事 ············································································ 41
第三節 數學名題 ················································································ 44
一、米勒問題 ····················································································· 45
二、斐波那契數列 ··············································································· 57
三、阿基米德窮竭法 ············································································ 66
四、柯西不等式 ·················································································· 73
五、角谷猜想 ····················································································· 80
六、阿波羅尼奧斯圓 ············································································ 85
七、回文數 ························································································ 93
八、勾股數 ························································································ 98
九、平均數 ······················································································· 101
十、皮克定理 ···················································································· 108
十一、數字黑洞 ················································································· 114
十二、伯努利不等式 ··········································································· 119
十三、正整數方冪和 ··········································································· 124
十四、切比雪夫多項式 ········································································ 130
十五、馬爾科夫定理 ··········································································· 135
十六、四色問題 ················································································· 143
十七、萊布尼茨三角形 ········································································ 146
十八、黃金分割比 ·············································································· 151
第三章 數學精神 ······················································································· 155
**節 理性求真 ··············································································· 155
第二節 創新意識 ··············································································· 167
第四章 數學應用 ·······················
展開全部
高考中的數學文化 作者簡介
齊龍新，北京市數學特級教師，山東省教學能手，山東省新課程研修團隊專家，山東省基礎教育教師培訓專家，山東省優質課一等獎、教育部一師一優課一等獎獲得者，現為北京市育英學校經濟學實驗班班主任。作者致力于“新數學自學輔導教學法”的實踐與研究，所編自學教材曾獲得山東省優秀課程資源一等獎，在日常教學實踐中也取得了非常顯著的教學效果。其微信個人公眾號“龍新數學(zxfd66)”曾經獲得2016年數學文化雜志社主辦的攜手北大數學文化節最紅公眾號評選全國第二名。 “把數學教得通俗易懂，讓學生學得幸福有趣”是作者一以貫之的精致追求，其教學風格獨特，教法細膩、技巧純熟，教學成績突出，與學生之間亦師亦友，深得學生的喜愛。作者教學之余寫出了數十篇教育教學論文，撰寫了《初高中數學銜接教材》等多部教研論著。
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