《高考中的數學文化》是2017年電子工業出版出版的圖書，作者是齊龍新。
基本介紹
- 書名：高考中的數學文化
- 作者：齊龍新
- ISBN：9787121316371
- 類別：教育
- 頁數：360頁
- 定價：68
- 出版社：電子工業出版社
- 出版時間：2017年8月
- 裝幀：平裝
- 開本：170mm×240mm
內容簡介,編輯推薦,圖書目錄,作者簡介,
內容簡介
教育部考試中心以正式檔案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、數學套用、數學之美、數學語言、交匯拓展、數學遊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，作者還結合曆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“是什麼”“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；對於廣大的數學文化愛好者而言，這又是一部讓人崇尚真理，淨化心靈，提升文化修養和文化品格的數學美書。
編輯推薦
★為什麼要學習數學文化？其實這個問題也等同於為什麼要學習數學。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。本書以文化為核心，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。
★數學家顧沛高度讚賞的數學文化典範之作，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。
圖書目錄
第一章數學文化總論··················································································· 1
第一節什麼是數學文化········································································ 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
第一節數學名著················································································ 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、迴文數························································································ 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
第一節理性求真··············································································· 155
第二節創新意識··············································································· 167
第四章數學套用······················································································· 177
第一節行銷決策類············································································ 178
第二節金融經濟類············································································ 183
第三節環境保護類············································································ 188
第四節建設工程類············································································ 195
第五節交通運輸類············································································ 204
第六節機率統計類············································································ 209
第七節日常民生類············································································ 218
第五章數學之美······················································································· 227
第一節和諧美··················································································· 227
一、結構形式的和諧統一····································································· 228
二、項、項數、次數的和諧統一···························································· 235
三、轉換的和諧統一··········································································· 239
第二節簡潔美··················································································· 242
第三節對稱美··················································································· 248
第四節奇異美··················································································· 253
一、解法多樣的奇異美········································································ 254
二、解法之巧的奇異美········································································ 259
第六章數學語言······················································································· 264
第七章交匯拓展······················································································· 272
第八章數學遊戲······················································································· 276
附錄一本書習題參考答案········································································· 285
附錄二高考數學文化最新動態································································· 325
參考文獻···································································································· 344
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。作者致力於“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年數學文化雜誌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緻追求，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。作者教學之餘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。
