【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220Please respect copyright.PENANA3BmzRAA5e6
登場人物介紹220Please respect copyright.PENANAVqYF0cgTfO
220Please respect copyright.PENANAWZMJ64BtuA
第一天 數學的樂趣在哪裡?220Please respect copyright.PENANAAEOnJGR2fW
第一課 其實並不可怕的高中數學220Please respect copyright.PENANAXbrBNYRbSd
好想學真正實用的數學!220Please respect copyright.PENANApbRqv9N8bS
高中數學比國中數學還簡單!?220Please respect copyright.PENANAAHojupRQ35
220Please respect copyright.PENANAEKo07GAfpR
第二課 超精簡的創新數學課!220Please respect copyright.PENANAHR9RIiOJsm
果斷刪去八成教科書內容!220Please respect copyright.PENANA4OpmrPz3ZE
世界首創!「西成流」數學分類法220Please respect copyright.PENANABLxmfIq3Ne
高中數學中最輕鬆的是「代數」220Please respect copyright.PENANAe5rUOY34On
高中數學的顛峰是「微分積分」220Please respect copyright.PENANAhel9UACMqd
超好用的工具「餘弦定理」220Please respect copyright.PENANAsArPHni9Zf
真正的幾何大魔王是「向量」220Please respect copyright.PENANAdzsdW6CMVz
Column文組無法理解數學的理由220Please respect copyright.PENANAGvuuMNOppy
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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!!220Please respect copyright.PENANAWF6cKTxOCG
第一課 速速學會統計學基礎220Please respect copyright.PENANAUPZG8G34ST
數據處理的3大必備條件220Please respect copyright.PENANAo8KFaXjtq9
為什麼增加個數很好用?220Please respect copyright.PENANAnmmdlPNHBq
「排列組合」是指什麼?220Please respect copyright.PENANAT3idOq11P8
看離散程度的「標準差」220Please respect copyright.PENANAO66c83FfGo
220Please respect copyright.PENANAHpQYozWH9u
第二課 記住「數列相加」的方法220Please respect copyright.PENANAYeKsLqPgOD
天才高斯少年發現的「倒序相加」220Please respect copyright.PENANAu6DwhQhRRV
超好用!任何等差數列都能用220Please respect copyright.PENANAXtw8P5wa3n
嚴禁直接死背公式!220Please respect copyright.PENANAi8oPYS4uYL
導出等差數列和的公式220Please respect copyright.PENANAnn1NymseKA
豐臣秀吉被擺了一道!數學變黃金的故事220Please respect copyright.PENANA7lZv99nsWS
等比數列是「相乘後錯位相減」220Please respect copyright.PENANABoYH6LZurF
導出等比數列和的公式220Please respect copyright.PENANA90euGRQiLb
先知道處理數列和的符號!220Please respect copyright.PENANA8R6IhwEP0T
Column把數學記號當作是念魔咒220Please respect copyright.PENANAVaqhjbHlkE
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第三課 記住「排列組合法」220Please respect copyright.PENANA1p6qDjOuBr
從賽馬了解「排列」與「組合」220Please respect copyright.PENANAMgJwsPxtRb
Step①了解階乘的計算方法220Please respect copyright.PENANAoOY2xZYCBC
Step②了解排列的計算方法220Please respect copyright.PENANAI70SnwIEuz
Step③了解組合的計算方法220Please respect copyright.PENANAjC55b57I9t
了解「排列」與「組合」的式子220Please respect copyright.PENANA7a8N8R65Kf
「排列」和「組合」的符號是「P」和「C」220Please respect copyright.PENANADIj7dCHcDe
運用「排列」和「組合」排班表220Please respect copyright.PENANAbSNzklwS5a
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第四課 搞懂「離散值」和「標準差」220Please respect copyright.PENANAZ4YdU9akHO
資訊分析的基礎是找到「數據的規則」220Please respect copyright.PENANAPX5eF1CuFm
兩個步驟找出離散程度220Please respect copyright.PENANAeOxFKAJ0UF
平均、分散、標準差的深~度關係220Please respect copyright.PENANAY76SNOPKBS
平均、離散、標準差的記號220Please respect copyright.PENANAAD7kfqzjoC
試著用Excel計算標準差220Please respect copyright.PENANAetmo2N5ru3
也把「偏差值」的計算公式記起來220Please respect copyright.PENANAo7G3SZG0YQ
附註內容①深奧的平均世界220Please respect copyright.PENANAz4ShI51TFe
附註內容②平均值、中位數、眾數220Please respect copyright.PENANAz1iHSI1w6s
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第三天 超爽快!掌握高中文組數學的「分析」!220Please respect copyright.PENANA8mBlxLdJqr
第一課 豁然開朗!函數的世界220Please respect copyright.PENANAvvNl9uFN0k
函數與方程式的差別?220Please respect copyright.PENANALTjC5geJ9w
高中數學的4種函數220Please respect copyright.PENANAzapSzGOYCP
Column少年西成的理科腦情書220Please respect copyright.PENANAP9kTQxZjza
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第二課 來複習二次函數!220Please respect copyright.PENANAqENnJsulyB
速速複習!二次方程式220Please respect copyright.PENANAAkCNnvDQHK
畫出二次函數的圖形!220Please respect copyright.PENANARlwHtaNFxI
Column 物理學家是名偵探220Please respect copyright.PENANAlar7y9WLvm
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第三課 指數函數超好用!220Please respect copyright.PENANACN0CHW1mnG
記住指數函數的相關用語220Please respect copyright.PENANA1AlqbE7kAe
基本規則①乘冪相乘時,指數相加220Please respect copyright.PENANALc1TmaLXau
基本規則②乘冪再乘冪時,指數相乘220Please respect copyright.PENANAjN2LBeJTUN
基本規則③乘冪相除時,指數相減220Please respect copyright.PENANAWiZYwRF79l
指數是負數時會怎樣?220Please respect copyright.PENANAVsX5IOeVeF
指數是「0」的時候會怎樣?220Please respect copyright.PENANAeus7B4tIdd
根號可以轉換成指數運算220Please respect copyright.PENANAZ8JnZMEUl6
統整指數運算的處理方式220Please respect copyright.PENANAACh4xJAZjE
將指數函數做成圖形看看!220Please respect copyright.PENANAwkzNPYtmjt
順便來談談「對數函數」的內容220Please respect copyright.PENANAGCpcHjqJeD
天文數字也可以處理的對數函數220Please respect copyright.PENANA0SsryKlu8R
指數函數與音樂的深~度關係220Please respect copyright.PENANA5saKepNWKi
用iPhone計算指數函數的方法220Please respect copyright.PENANAhvKtopIacc
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第四天 秒懂高中數學的「幾何」精髓!220Please respect copyright.PENANAnwf4Y1rtem
第一課 不再霧煞煞的「三角比」220Please respect copyright.PENANAZByVBBvWGz
以餘弦定理搞懂三角形220Please respect copyright.PENANAAOUfsgd49b
畫三角形的「西成流」作法220Please respect copyright.PENANAW8XAj2MxYQ
sin、cos、tan是指「邊長比」220Please respect copyright.PENANAIHjsPoRRwl
忘掉tan的存在吧!220Please respect copyright.PENANAVx8ivTpZlY
直角三角形的定義中必要的θ220Please respect copyright.PENANAvF5DuOdvWU
三角比經常出現的陷阱題220Please respect copyright.PENANAvpakNU4Cid
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第二課 俐落導出餘弦定理公式220Please respect copyright.PENANAuRGzSOgSi1
用三角比可以做的事220Please respect copyright.PENANAktGdiwIqS4
導出餘弦定理①事前準備220Please respect copyright.PENANANpzjkbuC30
導出餘弦定理②成立公式、解開220Please respect copyright.PENANAex1YChuRBw
導出餘弦定理③證明sin2θ+ cos2θ= 1220Please respect copyright.PENANAZx8S1uRD7G
導出餘弦定理④完成220Please respect copyright.PENANAguqOntdMD4
餘弦定理與畢氏定理的關係220Please respect copyright.PENANA0PIy8c3X81
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第三課 學習最後的分析工具「三角函數」!220Please respect copyright.PENANAhjQZfO1PH2
三角函數只是將θ與y的關係圖像化220Please respect copyright.PENANAl56Zz7dxJR
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第五天 特別課程①:幾何的最終武器「向量」!220Please respect copyright.PENANAbyV1DoMCZY
第一課 偉大的「向量」220Please respect copyright.PENANAzkYgCm4t2q
用代數解幾何問題!?220Please respect copyright.PENANAXAJrNxDucb
「短短數行」就能證明餘弦定理220Please respect copyright.PENANAirmgRz1YKZ
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第二課 了解「向量」的超嶄新概念220Please respect copyright.PENANAUgtU4zP9Si
向量是集結兩種資訊的「特殊容器」220Please respect copyright.PENANAcd1O4k93tz
眾所熟知的「純量」220Please respect copyright.PENANAyA5BrtUnpl
數據時代的主角「張量」220Please respect copyright.PENANAjBsNmPU9gQ
為什麼我們需要向量?220Please respect copyright.PENANALKemBLk1li
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第三課 「向量」是用箭頭當作記號唷220Please respect copyright.PENANAzoV5rq5cjG
向量的書寫規則220Please respect copyright.PENANAwKBou36cMN
張量的畫法220Please respect copyright.PENANAJ7NoyFMGkB
試著把向量畫成圖220Please respect copyright.PENANAnoK2Jv5qwI
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第四課 「向量」的計算超簡單!220Please respect copyright.PENANAEjPWoejaEY
來算算向量的加法吧220Please respect copyright.PENANAm2eEH3DJGP
也來算算向量的減法220Please respect copyright.PENANAqk0yWJ5E4y
試著分解向量吧220Please respect copyright.PENANAM0UKlDrSwi
試著挑戰向量的乘法220Please respect copyright.PENANAYi7wT5x4JM
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第五課 靠「向量」秒殺餘弦定理!220Please respect copyright.PENANATmt6dJsY02
用向量瞬間導出餘弦定理!220Please respect copyright.PENANAmq5vEtdTfz
不論幾次元都能處理的向量220Please respect copyright.PENANANTHa3K1ZZw
Column少年來了!(前篇)220Please respect copyright.PENANAX1IhasMrcz
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第6天 特別課程②:用「微積分」預測未來!220Please respect copyright.PENANA8KNrY6alb7
第一課 人類的寶物!了解微分積分220Please respect copyright.PENANABbwkvGPL8Q
微分積分與函數的關係220Please respect copyright.PENANAzGcrd0CUCW
今天的主題是「三角形面積」220Please respect copyright.PENANAG9MBGVWIeq
牛頓VS萊布尼茲的仁義之戰220Please respect copyright.PENANAMstL5wwYlN
怎麼區分最合適?220Please respect copyright.PENANAOk7iOllKAB
用微積分計算三角形的面積!220Please respect copyright.PENANAn8Kw9Kybnz
來認識微分積分的符號220Please respect copyright.PENANAxWS0tPYPLq
Column少年來了!(後篇)220Please respect copyright.PENANAvfRAPoDiFA
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第二課 用Excel預測未來!220Please respect copyright.PENANAhoNyGtVnza
現代人,用Excel就能預測未來220Please respect copyright.PENANAeReakyqvEn
掌握Excel的使用方法!220Please respect copyright.PENANAB8mMpSOIHl
「數學家」、「AI」、「統計學家」的差別220Please respect copyright.PENANAiuFEdorrdK
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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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