【20 天 (結果變5天) 來 Skim + Scan (03):一頁書心得 (數商)】
https://www.penana.com/article/1649263
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因為時間關係,我把 20 本縮減為 5 本。
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Day 23 ~ Day 27,我會列出五本會計學/數學相關書籍,從裡頭擷取一頁 (結果超過一頁~) 內容,然後寫一個小小的心得。
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from 博客來網路書店・我的電子書櫃「日記創挑書單」
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今天這本書是《真希望高中數學這樣教:系列暢銷20萬冊!跟著東大教授的解題祕訣,6天掌握高中數學關鍵》,作者是西成活裕, 鄉和貴,譯者是張郁萱。
https://www.books.com.tw/products/E050113778
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目錄
前言226Please respect copyright.PENANABEVLRctDKn
登場人物介紹226Please respect copyright.PENANAF7xUgDsDPh
226Please respect copyright.PENANAoOzFWqym1x
第一天 數學的樂趣在哪裡?226Please respect copyright.PENANAuDmL3MV9hA
第一課 其實並不可怕的高中數學226Please respect copyright.PENANAb0REaOt9hE
好想學真正實用的數學!226Please respect copyright.PENANAHkPz7lESKb
高中數學比國中數學還簡單!?226Please respect copyright.PENANApt6amYPPXM
226Please respect copyright.PENANA6SR9Uyliil
第二課 超精簡的創新數學課!226Please respect copyright.PENANASBCxTz0coD
果斷刪去八成教科書內容!226Please respect copyright.PENANAiRD3FDcrs0
世界首創!「西成流」數學分類法226Please respect copyright.PENANAMxyycdzFs1
高中數學中最輕鬆的是「代數」226Please respect copyright.PENANARlNUHHGwpy
高中數學的顛峰是「微分積分」226Please respect copyright.PENANAMnbBEhIvoH
超好用的工具「餘弦定理」226Please respect copyright.PENANAfFkJKNQFRw
真正的幾何大魔王是「向量」226Please respect copyright.PENANAh3KOtytiKd
Column文組無法理解數學的理由226Please respect copyright.PENANALjdtK29f3k
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第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!226Please respect copyright.PENANAfoqeK37ZbO
第一課 速速學會統計學基礎226Please respect copyright.PENANAQ9GnPuEBPs
數據處理的3大必備條件226Please respect copyright.PENANAbZTjYFYxqo
為什麼增加個數很好用?226Please respect copyright.PENANAirmbDFclYZ
「排列組合」是指什麼?226Please respect copyright.PENANAzqNxktDa1i
看離散程度的「標準差」226Please respect copyright.PENANAAMHEdyzOvY
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第二課 記住「數列相加」的方法226Please respect copyright.PENANAvPenTZgPBd
天才高斯少年發現的「倒序相加」226Please respect copyright.PENANAtS44qdgHuD
超好用!任何等差數列都能用226Please respect copyright.PENANA9U4LMWD8tR
嚴禁直接死背公式!226Please respect copyright.PENANA5Zv0mPwFjl
導出等差數列和的公式226Please respect copyright.PENANAtthhxq5po3
豐臣秀吉被擺了一道!數學變黃金的故事226Please respect copyright.PENANAvb8oLwzTJf
等比數列是「相乘後錯位相減」226Please respect copyright.PENANAlGo6w6333b
導出等比數列和的公式226Please respect copyright.PENANAAFGGl2FlUK
先知道處理數列和的符號!226Please respect copyright.PENANAHnp9EDHz42
Column把數學記號當作是念魔咒226Please respect copyright.PENANAFmslRyBkHZ
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第三課 記住「排列組合法」226Please respect copyright.PENANAPz3abwp5Xv
從賽馬了解「排列」與「組合」226Please respect copyright.PENANAlHuqjbLo98
Step①了解階乘的計算方法226Please respect copyright.PENANACTN6sKKNvA
Step②了解排列的計算方法226Please respect copyright.PENANAqrCDDQohCb
Step③了解組合的計算方法226Please respect copyright.PENANAvFkEkZBiQC
了解「排列」與「組合」的式子226Please respect copyright.PENANAW5esjsKoKB
「排列」和「組合」的符號是「P」和「C」226Please respect copyright.PENANAgLbC6ZPR0Q
運用「排列」和「組合」排班表226Please respect copyright.PENANAMTozmSPOoO
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第四課 搞懂「離散值」和「標準差」226Please respect copyright.PENANAzydg84dfQI
資訊分析的基礎是找到「數據的規則」226Please respect copyright.PENANAMfQ8ftPVqi
兩個步驟找出離散程度226Please respect copyright.PENANADFsoP4tNhP
平均、分散、標準差的深~度關係226Please respect copyright.PENANAIMfiHlM2Ug
平均、離散、標準差的記號226Please respect copyright.PENANARahNgUTr9S
試著用Excel計算標準差226Please respect copyright.PENANAVfhoOA5HA7
也把「偏差值」的計算公式記起來226Please respect copyright.PENANAOJkCNsgnNv
附註內容①深奧的平均世界226Please respect copyright.PENANAIMunOEhMaN
附註內容②平均值、中位數、眾數226Please respect copyright.PENANAVek6igPTzv
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第三天 超爽快!掌握高中文組數學的「分析」!226Please respect copyright.PENANAXdHOkwi7fq
第一課 豁然開朗!函數的世界226Please respect copyright.PENANApHqVwvFJel
函數與方程式的差別?226Please respect copyright.PENANAognxLF5qnr
高中數學的4種函數226Please respect copyright.PENANAtD53PrEO3F
Column少年西成的理科腦情書226Please respect copyright.PENANAM03IBEqpHs
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第二課 來複習二次函數!226Please respect copyright.PENANAUaTqu8KVsW
速速複習!二次方程式226Please respect copyright.PENANAAnepmEwwu5
畫出二次函數的圖形!226Please respect copyright.PENANAZGOXQn2qr4
Column 物理學家是名偵探226Please respect copyright.PENANA10lvtDjnA6
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第三課 指數函數超好用!226Please respect copyright.PENANAtQczHY0e4E
記住指數函數的相關用語226Please respect copyright.PENANA6BluG3LAkR
基本規則①乘冪相乘時,指數相加226Please respect copyright.PENANAgBq87REQQn
基本規則②乘冪再乘冪時,指數相乘226Please respect copyright.PENANAybUzQGR0qo
基本規則③乘冪相除時,指數相減226Please respect copyright.PENANAb42JO0JpJ5
指數是負數時會怎樣?226Please respect copyright.PENANAMcQfEopwWc
指數是「0」的時候會怎樣?226Please respect copyright.PENANAk4rkUkhVJs
根號可以轉換成指數運算226Please respect copyright.PENANAmEOhEy0Qdt
統整指數運算的處理方式226Please respect copyright.PENANAIcean0saPS
將指數函數做成圖形看看!226Please respect copyright.PENANA4dXN5uLbGf
順便來談談「對數函數」的內容226Please respect copyright.PENANAFAt4GI7P5w
天文數字也可以處理的對數函數226Please respect copyright.PENANAAGBLCHhxX0
指數函數與音樂的深~度關係226Please respect copyright.PENANAoSYs7v5f9d
用iPhone計算指數函數的方法226Please respect copyright.PENANAsUedLwJ9Ul
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第四天 秒懂高中數學的「幾何」精髓!226Please respect copyright.PENANAC35U3n5uQ5
第一課 不再霧煞煞的「三角比」226Please respect copyright.PENANAM6rUeT6X0J
以餘弦定理搞懂三角形226Please respect copyright.PENANAtttMyGB0C8
畫三角形的「西成流」作法226Please respect copyright.PENANAvm8QHIyh3V
sin、cos、tan是指「邊長比」226Please respect copyright.PENANACcgMFMMXmC
忘掉tan的存在吧!226Please respect copyright.PENANAiub1AeJvs2
直角三角形的定義中必要的θ226Please respect copyright.PENANAGrYBt305Rx
三角比經常出現的陷阱題226Please respect copyright.PENANAWukpYI25d6
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第二課 俐落導出餘弦定理公式226Please respect copyright.PENANAzzt5NuCoqq
用三角比可以做的事226Please respect copyright.PENANAVAMVz9fVRy
導出餘弦定理①事前準備226Please respect copyright.PENANAivkO0y8Rrw
導出餘弦定理②成立公式、解開226Please respect copyright.PENANAEG3SzRzk7E
導出餘弦定理③證明sin2θ+ cos2θ= 1226Please respect copyright.PENANAkeJYhIK0EQ
導出餘弦定理④完成226Please respect copyright.PENANA6kXN1CaIDG
餘弦定理與畢氏定理的關係226Please respect copyright.PENANAt5OeTj1ram
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第三課 學習最後的分析工具「三角函數」!226Please respect copyright.PENANAevnZDqL2Zg
三角函數只是將θ與y的關係圖像化226Please respect copyright.PENANAHexb0z8Kdy
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第五天 特別課程①:幾何的最終武器「向量」!226Please respect copyright.PENANAC3kFkgwDnf
第一課 偉大的「向量」226Please respect copyright.PENANAGDQJzWAySY
用代數解幾何問題!?226Please respect copyright.PENANAW2iisa7pea
「短短數行」就能證明餘弦定理226Please respect copyright.PENANAr5UMUNpNFF
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第二課 了解「向量」的超嶄新概念226Please respect copyright.PENANAYO6Zl7Rp7t
向量是集結兩種資訊的「特殊容器」226Please respect copyright.PENANA1AHdHO6Ih1
眾所熟知的「純量」226Please respect copyright.PENANAcXHVUqWbYo
數據時代的主角「張量」226Please respect copyright.PENANAGlNF17Quo8
為什麼我們需要向量?226Please respect copyright.PENANA2fGB7GLc3B
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第三課 「向量」是用箭頭當作記號唷226Please respect copyright.PENANAE9iRZk3buW
向量的書寫規則226Please respect copyright.PENANAGrsDfO7DjA
張量的畫法226Please respect copyright.PENANAjMd9DR4B4O
試著把向量畫成圖226Please respect copyright.PENANArQVF6p8OX1
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第四課 「向量」的計算超簡單!226Please respect copyright.PENANAfvlB63eB3b
來算算向量的加法吧226Please respect copyright.PENANAOEmu5JGtTw
也來算算向量的減法226Please respect copyright.PENANAN92CaOYeJs
試著分解向量吧226Please respect copyright.PENANAA4bynRxlJU
試著挑戰向量的乘法226Please respect copyright.PENANAbkkyxNuGqS
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第五課 靠「向量」秒殺餘弦定理!226Please respect copyright.PENANAwS4VUqeKi4
用向量瞬間導出餘弦定理!226Please respect copyright.PENANA020k1Ouenh
不論幾次元都能處理的向量226Please respect copyright.PENANA3C0pHDD7o1
Column少年來了!(前篇)226Please respect copyright.PENANAu0aEClCYFT
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第6天 特別課程②:用「微積分」預測未來!226Please respect copyright.PENANA9eVmkSnyTa
第一課 人類的寶物!了解微分積分226Please respect copyright.PENANAckHLTon0v9
微分積分與函數的關係226Please respect copyright.PENANAgJDP66u6ig
今天的主題是「三角形面積」226Please respect copyright.PENANAR04JPlnG46
牛頓VS萊布尼茲的仁義之戰226Please respect copyright.PENANAn1E3KaZsIz
怎麼區分最合適?226Please respect copyright.PENANAiYs19YYlAj
用微積分計算三角形的面積!226Please respect copyright.PENANAJmNMWR04bT
來認識微分積分的符號226Please respect copyright.PENANAxNcqnhK0Cc
Column少年來了!(後篇)226Please respect copyright.PENANAKjt4Ye9qlN
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第二課 用Excel預測未來!226Please respect copyright.PENANArIaXEwO2PH
現代人,用Excel就能預測未來226Please respect copyright.PENANAMVSWAagIuH
掌握Excel的使用方法!226Please respect copyright.PENANAweAxv6pQsw
「數學家」、「AI」、「統計學家」的差別226Please respect copyright.PENANANOuZyFPAdw
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後記
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from《真希望高中數學這樣教:系列暢銷20萬冊!跟著東大教授的解題祕訣,6天掌握高中數學關鍵》
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實在沒辦法只作一頁截圖,所以把指數函數和音階的關係,全部截圖下來,放在這裡,也可以讓大家看到,這本書及其姐妹作《真希望國中數學這樣教:暢銷20萬冊!6天搞懂3年數學關鍵原理,跟著東大教授學,解題力大提升!》的寫作風格,就是這麼樸實無華輕鬆有趣。
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這本書以對話體呈現,採訪者提問,教授回答,文字就是對話和解釋,佐以圖表和插圖,內容雖然是數學,卻不枯燥 (至少對我而言),看完以後是否能提升數學能力 and/or 對數學的興趣,就有待讀者自己發掘了。
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不喜歡數學,很多時候是過去的陰影 (對老師、對學校、對教法、對教材、對考試⋯⋯) 造成的,其實與數學本身無涉;數學是一種語言,跟生活經驗極其相關。
伽利略認為「自然寫在宇宙這本大書上,而這本書是用數學語言寫成的。」
生而為人,我覺得很幸運,可以用數學這個語言,試著了解宇宙的奧妙。
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以上心得,部分文字出自《真希望國中數學這樣教:暢銷20萬冊!6天搞懂3年數學關鍵原理,跟著東大教授學,解題力大提升!》網頁下方會員評鑑「有感而發」的書評,不用懷疑,那個「有感而發」就是我本人啦。
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點一下網頁的「有感而發」,就可以看到我在博客來寫的書評,連結如下:
https://www.books.com.tw/booksComment/memberComment/xxx1406281
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【十二年國教課程綱要:數學領域 (節錄)】
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【同場加映】108課綱 資訊網
https://shs.k12ea.gov.tw/site/12basic
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今天到此為止,我們明天見!!
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