【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122Please respect copyright.PENANAzbuFCbJqV3
登場人物介紹122Please respect copyright.PENANARfOGTnF4ZM
122Please respect copyright.PENANAqQWiQbLpcw
第一天 數學的樂趣在哪裡?122Please respect copyright.PENANA9zxYyZGICb
第一課 其實並不可怕的高中數學122Please respect copyright.PENANA7Npc7z1MbH
好想學真正實用的數學!122Please respect copyright.PENANAhIxH3Jyslh
高中數學比國中數學還簡單!?122Please respect copyright.PENANAsgCBuDCWgU
122Please respect copyright.PENANAe602ctlYME
第二課 超精簡的創新數學課!122Please respect copyright.PENANAmRkqmNyYLT
果斷刪去八成教科書內容!122Please respect copyright.PENANAbV4FoRY7kj
世界首創!「西成流」數學分類法122Please respect copyright.PENANA6qwNfdpeBf
高中數學中最輕鬆的是「代數」122Please respect copyright.PENANAA2lVOphcDo
高中數學的顛峰是「微分積分」122Please respect copyright.PENANAkNXzJuR0oC
超好用的工具「餘弦定理」122Please respect copyright.PENANA2g8ihT1xml
真正的幾何大魔王是「向量」122Please respect copyright.PENANAPPE5Ppx6K2
Column文組無法理解數學的理由122Please respect copyright.PENANAM7mOFVmOHC
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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!!122Please respect copyright.PENANAn9UekCaWht
第一課 速速學會統計學基礎122Please respect copyright.PENANArHEpislB31
數據處理的3大必備條件122Please respect copyright.PENANAj4PgrbV2dO
為什麼增加個數很好用?122Please respect copyright.PENANAPLvK0XIQmF
「排列組合」是指什麼?122Please respect copyright.PENANAEUoxmu4xow
看離散程度的「標準差」122Please respect copyright.PENANAJA4MGgaBUH
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第二課 記住「數列相加」的方法122Please respect copyright.PENANA1refbXIRX0
天才高斯少年發現的「倒序相加」122Please respect copyright.PENANAUPyPszGvbW
超好用!任何等差數列都能用122Please respect copyright.PENANA4KylQHfs5H
嚴禁直接死背公式!122Please respect copyright.PENANAcgLGGG4KD1
導出等差數列和的公式122Please respect copyright.PENANAWR6hr5r0Pa
豐臣秀吉被擺了一道!數學變黃金的故事122Please respect copyright.PENANAyK7ISXdNUo
等比數列是「相乘後錯位相減」122Please respect copyright.PENANAYIQTys6kic
導出等比數列和的公式122Please respect copyright.PENANAO6rWeTQfm0
先知道處理數列和的符號!122Please respect copyright.PENANABd495dEAR6
Column把數學記號當作是念魔咒122Please respect copyright.PENANApROzYAvipq
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第三課 記住「排列組合法」122Please respect copyright.PENANA5vAkhUAp7U
從賽馬了解「排列」與「組合」122Please respect copyright.PENANAFnbC5DuM3B
Step①了解階乘的計算方法122Please respect copyright.PENANA8d8kzvjCKp
Step②了解排列的計算方法122Please respect copyright.PENANAMiXP7U10KV
Step③了解組合的計算方法122Please respect copyright.PENANADw1JOz32U9
了解「排列」與「組合」的式子122Please respect copyright.PENANAZA2pDeLPzM
「排列」和「組合」的符號是「P」和「C」122Please respect copyright.PENANAgPkVRq2MRr
運用「排列」和「組合」排班表122Please respect copyright.PENANAYrqVsEZeDE
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第四課 搞懂「離散值」和「標準差」122Please respect copyright.PENANAoAVUhuKmEK
資訊分析的基礎是找到「數據的規則」122Please respect copyright.PENANAuRSB5uzxjd
兩個步驟找出離散程度122Please respect copyright.PENANAMNmQ383NhG
平均、分散、標準差的深~度關係122Please respect copyright.PENANAnsb9xQkFYr
平均、離散、標準差的記號122Please respect copyright.PENANAb2NJVXrF3c
試著用Excel計算標準差122Please respect copyright.PENANAeC0C2Ry2wf
也把「偏差值」的計算公式記起來122Please respect copyright.PENANAO83CmUcO55
附註內容①深奧的平均世界122Please respect copyright.PENANAxSWNa7KbYV
附註內容②平均值、中位數、眾數122Please respect copyright.PENANAsTigN1s9fe
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第三天 超爽快!掌握高中文組數學的「分析」!122Please respect copyright.PENANAzNSxAFPDSS
第一課 豁然開朗!函數的世界122Please respect copyright.PENANAFb7khkHYT9
函數與方程式的差別?122Please respect copyright.PENANAmoioZT7s9A
高中數學的4種函數122Please respect copyright.PENANAVWXMIW0h7c
Column少年西成的理科腦情書122Please respect copyright.PENANAefllM3sC9h
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第二課 來複習二次函數!122Please respect copyright.PENANAdTob2RoSAO
速速複習!二次方程式122Please respect copyright.PENANAfh9miWX2jn
畫出二次函數的圖形!122Please respect copyright.PENANAMRkTX7ozli
Column 物理學家是名偵探122Please respect copyright.PENANAriJxIgwcUJ
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第三課 指數函數超好用!122Please respect copyright.PENANAEw0hkafoKJ
記住指數函數的相關用語122Please respect copyright.PENANAM2d9z4Z9ZW
基本規則①乘冪相乘時,指數相加122Please respect copyright.PENANAb1kng0QI6H
基本規則②乘冪再乘冪時,指數相乘122Please respect copyright.PENANAEIefjhNttl
基本規則③乘冪相除時,指數相減122Please respect copyright.PENANAAR1jvOfeNZ
指數是負數時會怎樣?122Please respect copyright.PENANAAYJ9MT124S
指數是「0」的時候會怎樣?122Please respect copyright.PENANAxE5hXdXkJg
根號可以轉換成指數運算122Please respect copyright.PENANA9O9krT5jCG
統整指數運算的處理方式122Please respect copyright.PENANApJTos8MIAX
將指數函數做成圖形看看!122Please respect copyright.PENANAdOsGcW1ddG
順便來談談「對數函數」的內容122Please respect copyright.PENANAwyflvbUho8
天文數字也可以處理的對數函數122Please respect copyright.PENANAXpsPFa6zPU
指數函數與音樂的深~度關係122Please respect copyright.PENANArLKz3fmpS2
用iPhone計算指數函數的方法122Please respect copyright.PENANAB5mSWeCYvT
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第四天 秒懂高中數學的「幾何」精髓!122Please respect copyright.PENANAOmzF4rO4TU
第一課 不再霧煞煞的「三角比」122Please respect copyright.PENANAm5SlOmxEuX
以餘弦定理搞懂三角形122Please respect copyright.PENANAlgUy03H3X8
畫三角形的「西成流」作法122Please respect copyright.PENANAgNNKlxVwLt
sin、cos、tan是指「邊長比」122Please respect copyright.PENANAhNIMq2XcL8
忘掉tan的存在吧!122Please respect copyright.PENANAFLpiItTPUj
直角三角形的定義中必要的θ122Please respect copyright.PENANAd0WuPl2RaT
三角比經常出現的陷阱題122Please respect copyright.PENANAZ0QBlSzJsw
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第二課 俐落導出餘弦定理公式122Please respect copyright.PENANAGi679p8eaJ
用三角比可以做的事122Please respect copyright.PENANAjSJR0FQHgS
導出餘弦定理①事前準備122Please respect copyright.PENANAPc5i6jZo9K
導出餘弦定理②成立公式、解開122Please respect copyright.PENANAGmLB0qolE3
導出餘弦定理③證明sin2θ+ cos2θ= 1122Please respect copyright.PENANASRVsuTkS7u
導出餘弦定理④完成122Please respect copyright.PENANADyZ3UKKNeS
餘弦定理與畢氏定理的關係122Please respect copyright.PENANAtKGC7mddqT
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第三課 學習最後的分析工具「三角函數」!122Please respect copyright.PENANANnLAyZw0aL
三角函數只是將θ與y的關係圖像化122Please respect copyright.PENANAGy7h6g7KCP
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第五天 特別課程①:幾何的最終武器「向量」!122Please respect copyright.PENANAsAthSzT855
第一課 偉大的「向量」122Please respect copyright.PENANAkS2bJgSddN
用代數解幾何問題!?122Please respect copyright.PENANA3NPirXO5Dw
「短短數行」就能證明餘弦定理122Please respect copyright.PENANAmYQnmUECk5
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第二課 了解「向量」的超嶄新概念122Please respect copyright.PENANAvcq3Q6Tlbg
向量是集結兩種資訊的「特殊容器」122Please respect copyright.PENANAZJpHw7ImJ3
眾所熟知的「純量」122Please respect copyright.PENANAnmDLRjnJ0q
數據時代的主角「張量」122Please respect copyright.PENANAib2FNyvgEH
為什麼我們需要向量?122Please respect copyright.PENANAEyj34JoTQT
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第三課 「向量」是用箭頭當作記號唷122Please respect copyright.PENANAbzLDSSMU0Y
向量的書寫規則122Please respect copyright.PENANA9m2Wit3H17
張量的畫法122Please respect copyright.PENANAtY0PXEBxTH
試著把向量畫成圖122Please respect copyright.PENANAGHsF8Nh9YX
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第四課 「向量」的計算超簡單!122Please respect copyright.PENANA5v6HfwVoLc
來算算向量的加法吧122Please respect copyright.PENANAVVGGKEwSX4
也來算算向量的減法122Please respect copyright.PENANA8uOqGHF28a
試著分解向量吧122Please respect copyright.PENANAmnO4Nwwb5Q
試著挑戰向量的乘法122Please respect copyright.PENANAEtmXJJxd6z
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第五課 靠「向量」秒殺餘弦定理!122Please respect copyright.PENANAI9AS0Po9ti
用向量瞬間導出餘弦定理!122Please respect copyright.PENANA12mBlNjggR
不論幾次元都能處理的向量122Please respect copyright.PENANA5v6A64ERF7
Column少年來了!(前篇)122Please respect copyright.PENANAAUR0L7BD87
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第6天 特別課程②:用「微積分」預測未來!122Please respect copyright.PENANAyvrPRreyGU
第一課 人類的寶物!了解微分積分122Please respect copyright.PENANAByf2bzoDrv
微分積分與函數的關係122Please respect copyright.PENANAAZ2278ka6y
今天的主題是「三角形面積」122Please respect copyright.PENANAlhpMk9z05c
牛頓VS萊布尼茲的仁義之戰122Please respect copyright.PENANAPnz05UbmAz
怎麼區分最合適?122Please respect copyright.PENANA8wJ0qC5NTO
用微積分計算三角形的面積!122Please respect copyright.PENANARA9L1xQqSo
來認識微分積分的符號122Please respect copyright.PENANAnZ87Sa6Jsd
Column少年來了!(後篇)122Please respect copyright.PENANA26fyr7TtjH
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第二課 用Excel預測未來!122Please respect copyright.PENANAMRJXGMKH5e
現代人,用Excel就能預測未來122Please respect copyright.PENANATFI6kN4w0g
掌握Excel的使用方法!122Please respect copyright.PENANAnGV40ngu6D
「數學家」、「AI」、「統計學家」的差別122Please respect copyright.PENANAPg8IUI4fwL
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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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