【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124Please respect copyright.PENANA3ZZdzIb9PX
登場人物介紹124Please respect copyright.PENANA47veqg3G29
124Please respect copyright.PENANAYAu4wYdi6m
第一天 數學的樂趣在哪裡?124Please respect copyright.PENANAYYbBFfbfqk
第一課 其實並不可怕的高中數學124Please respect copyright.PENANADroguhZu5T
好想學真正實用的數學!124Please respect copyright.PENANAq1V94kJsGx
高中數學比國中數學還簡單!?124Please respect copyright.PENANA2XA6vHr1Tl
124Please respect copyright.PENANAaNFMJagd2L
第二課 超精簡的創新數學課!124Please respect copyright.PENANAw1qiuWsSy7
果斷刪去八成教科書內容!124Please respect copyright.PENANAVQXPe8DWK0
世界首創!「西成流」數學分類法124Please respect copyright.PENANAFppndVeNyF
高中數學中最輕鬆的是「代數」124Please respect copyright.PENANApT0F52OpIt
高中數學的顛峰是「微分積分」124Please respect copyright.PENANA36n3FUDKp8
超好用的工具「餘弦定理」124Please respect copyright.PENANAwbvXYjXoUb
真正的幾何大魔王是「向量」124Please respect copyright.PENANA7aGBBLXbJd
Column文組無法理解數學的理由124Please respect copyright.PENANAerK72ScTIC
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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!!124Please respect copyright.PENANAIoMwG64DeL
第一課 速速學會統計學基礎124Please respect copyright.PENANANV1fjgQ1uA
數據處理的3大必備條件124Please respect copyright.PENANA5OV0xxUI6u
為什麼增加個數很好用?124Please respect copyright.PENANAfh7CkZIDM3
「排列組合」是指什麼?124Please respect copyright.PENANAiKuY9SlVob
看離散程度的「標準差」124Please respect copyright.PENANAC9f02Hf1Wm
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第二課 記住「數列相加」的方法124Please respect copyright.PENANAOzDClOxVUB
天才高斯少年發現的「倒序相加」124Please respect copyright.PENANAtrpWbMz0mg
超好用!任何等差數列都能用124Please respect copyright.PENANAj9IWmU4VaU
嚴禁直接死背公式!124Please respect copyright.PENANAi6HtHzOzJ8
導出等差數列和的公式124Please respect copyright.PENANAczUYUO4xkb
豐臣秀吉被擺了一道!數學變黃金的故事124Please respect copyright.PENANAg6bo6Wy1Aq
等比數列是「相乘後錯位相減」124Please respect copyright.PENANA5lahFzUcUx
導出等比數列和的公式124Please respect copyright.PENANAZzyw5DzxLM
先知道處理數列和的符號!124Please respect copyright.PENANANcbhJt5pQF
Column把數學記號當作是念魔咒124Please respect copyright.PENANAer5uecoXJY
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第三課 記住「排列組合法」124Please respect copyright.PENANAAcjA4CwsUY
從賽馬了解「排列」與「組合」124Please respect copyright.PENANA7BtOAoi3de
Step①了解階乘的計算方法124Please respect copyright.PENANAkijsQ0PB1i
Step②了解排列的計算方法124Please respect copyright.PENANADjOZbrLnjM
Step③了解組合的計算方法124Please respect copyright.PENANActELGsA4nV
了解「排列」與「組合」的式子124Please respect copyright.PENANAZ43nQbOxLw
「排列」和「組合」的符號是「P」和「C」124Please respect copyright.PENANAA3GFRxD770
運用「排列」和「組合」排班表124Please respect copyright.PENANAzfOqvMXUBP
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第四課 搞懂「離散值」和「標準差」124Please respect copyright.PENANA3bJGb4h9Hp
資訊分析的基礎是找到「數據的規則」124Please respect copyright.PENANAnMmbJlv5UR
兩個步驟找出離散程度124Please respect copyright.PENANAlm2RXXhWYs
平均、分散、標準差的深~度關係124Please respect copyright.PENANAKIsqBCfwl0
平均、離散、標準差的記號124Please respect copyright.PENANAVqgySfGsFP
試著用Excel計算標準差124Please respect copyright.PENANAe97OllmVw4
也把「偏差值」的計算公式記起來124Please respect copyright.PENANAFKbCR4VNkt
附註內容①深奧的平均世界124Please respect copyright.PENANAVUpdWi4m27
附註內容②平均值、中位數、眾數124Please respect copyright.PENANA6EMukaUU6t
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第三天 超爽快!掌握高中文組數學的「分析」!124Please respect copyright.PENANA2UL17dQCYW
第一課 豁然開朗!函數的世界124Please respect copyright.PENANAUHaQqi3U8f
函數與方程式的差別?124Please respect copyright.PENANAsYrHHhnAac
高中數學的4種函數124Please respect copyright.PENANAkpu7TfhNcd
Column少年西成的理科腦情書124Please respect copyright.PENANAZaEvcPuvD9
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第二課 來複習二次函數!124Please respect copyright.PENANAlDyaV6vG89
速速複習!二次方程式124Please respect copyright.PENANA93MrbG5hJ8
畫出二次函數的圖形!124Please respect copyright.PENANALE1ZfsyipG
Column 物理學家是名偵探124Please respect copyright.PENANARx2I6GDaGP
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第三課 指數函數超好用!124Please respect copyright.PENANAZr8R6zGupG
記住指數函數的相關用語124Please respect copyright.PENANAWLf9wMd6Ep
基本規則①乘冪相乘時,指數相加124Please respect copyright.PENANAwH1RUuS2I4
基本規則②乘冪再乘冪時,指數相乘124Please respect copyright.PENANAaB8P9CgD05
基本規則③乘冪相除時,指數相減124Please respect copyright.PENANANxz2OZtQcu
指數是負數時會怎樣?124Please respect copyright.PENANAsJ5x8m2xJg
指數是「0」的時候會怎樣?124Please respect copyright.PENANAc35eFO1HUd
根號可以轉換成指數運算124Please respect copyright.PENANAoPNDF6x6P6
統整指數運算的處理方式124Please respect copyright.PENANAAwnwr6GCgK
將指數函數做成圖形看看!124Please respect copyright.PENANAmc6DojzDpR
順便來談談「對數函數」的內容124Please respect copyright.PENANAtAvD9mzi2U
天文數字也可以處理的對數函數124Please respect copyright.PENANACSSzpQJUCE
指數函數與音樂的深~度關係124Please respect copyright.PENANAYw276B7iB7
用iPhone計算指數函數的方法124Please respect copyright.PENANAGSFJHPT3FE
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第四天 秒懂高中數學的「幾何」精髓!124Please respect copyright.PENANAMwNtH67Cl0
第一課 不再霧煞煞的「三角比」124Please respect copyright.PENANAp610qnaNJI
以餘弦定理搞懂三角形124Please respect copyright.PENANAY56QwRygII
畫三角形的「西成流」作法124Please respect copyright.PENANA85ZwYjCMN0
sin、cos、tan是指「邊長比」124Please respect copyright.PENANAgd47Gowl6X
忘掉tan的存在吧!124Please respect copyright.PENANAZYC8eK04Gj
直角三角形的定義中必要的θ124Please respect copyright.PENANAiP8bCYQWYk
三角比經常出現的陷阱題124Please respect copyright.PENANAcY6VJkYNmy
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第二課 俐落導出餘弦定理公式124Please respect copyright.PENANAMB09dRZ3Bl
用三角比可以做的事124Please respect copyright.PENANAvleqO7HTIR
導出餘弦定理①事前準備124Please respect copyright.PENANA7ci577IRY1
導出餘弦定理②成立公式、解開124Please respect copyright.PENANAzZhObxGBsU
導出餘弦定理③證明sin2θ+ cos2θ= 1124Please respect copyright.PENANAYnKXjgo9be
導出餘弦定理④完成124Please respect copyright.PENANAXZmintYmOv
餘弦定理與畢氏定理的關係124Please respect copyright.PENANAUToozfFhYF
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第三課 學習最後的分析工具「三角函數」!124Please respect copyright.PENANAgnS9DFM7lU
三角函數只是將θ與y的關係圖像化124Please respect copyright.PENANAsgcXNrzTl7
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第五天 特別課程①:幾何的最終武器「向量」!124Please respect copyright.PENANAsGlIlrbAeY
第一課 偉大的「向量」124Please respect copyright.PENANAPGml8nMJWw
用代數解幾何問題!?124Please respect copyright.PENANABZSmtrV3NB
「短短數行」就能證明餘弦定理124Please respect copyright.PENANAvLMSTQxnVM
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第二課 了解「向量」的超嶄新概念124Please respect copyright.PENANAXSg9FWKqbX
向量是集結兩種資訊的「特殊容器」124Please respect copyright.PENANAFdFF5fdpGY
眾所熟知的「純量」124Please respect copyright.PENANAKo5d2Zo2HJ
數據時代的主角「張量」124Please respect copyright.PENANA0dUn47qol1
為什麼我們需要向量?124Please respect copyright.PENANABamJiYIjA5
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第三課 「向量」是用箭頭當作記號唷124Please respect copyright.PENANANiRPUWcx45
向量的書寫規則124Please respect copyright.PENANAdrmT8qCdy3
張量的畫法124Please respect copyright.PENANANIy0EQ1Nxz
試著把向量畫成圖124Please respect copyright.PENANAXOXueZqYxi
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第四課 「向量」的計算超簡單!124Please respect copyright.PENANAIQ4U42xxOK
來算算向量的加法吧124Please respect copyright.PENANACGmJjvrnYy
也來算算向量的減法124Please respect copyright.PENANAk3pe5s37Z0
試著分解向量吧124Please respect copyright.PENANAyfcrASOMFf
試著挑戰向量的乘法124Please respect copyright.PENANAK1Ua0LMY5D
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第五課 靠「向量」秒殺餘弦定理!124Please respect copyright.PENANAK1IXVoJjtB
用向量瞬間導出餘弦定理!124Please respect copyright.PENANAnzYncSnLJ3
不論幾次元都能處理的向量124Please respect copyright.PENANAsYIsIGkVzD
Column少年來了!(前篇)124Please respect copyright.PENANA9ELBFXXaGB
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第6天 特別課程②:用「微積分」預測未來!124Please respect copyright.PENANAmfdZDuCs1O
第一課 人類的寶物!了解微分積分124Please respect copyright.PENANAPg5QG3f3jt
微分積分與函數的關係124Please respect copyright.PENANA1dvAW6WIYy
今天的主題是「三角形面積」124Please respect copyright.PENANALYDjCWz5Pk
牛頓VS萊布尼茲的仁義之戰124Please respect copyright.PENANAPgoCZwigky
怎麼區分最合適?124Please respect copyright.PENANAHUnAQAoo9r
用微積分計算三角形的面積!124Please respect copyright.PENANAGKTD3te31d
來認識微分積分的符號124Please respect copyright.PENANAuWwbnMwHom
Column少年來了!(後篇)124Please respect copyright.PENANApdmEW3Ilz6
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第二課 用Excel預測未來!124Please respect copyright.PENANAiw3G3XdbSu
現代人,用Excel就能預測未來124Please respect copyright.PENANAeohn7pXaRy
掌握Excel的使用方法!124Please respect copyright.PENANAjIfwskpwAs
「數學家」、「AI」、「統計學家」的差別124Please respect copyright.PENANAnd2wiSuMir
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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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