【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123Please respect copyright.PENANAvdXF3uX67m
登場人物介紹123Please respect copyright.PENANAlahMW6KtIo
123Please respect copyright.PENANAT8eDnnYW88
第一天 數學的樂趣在哪裡?123Please respect copyright.PENANADPFJLNapMk
第一課 其實並不可怕的高中數學123Please respect copyright.PENANAQUPojsWq6j
好想學真正實用的數學!123Please respect copyright.PENANATOhwXb3HCy
高中數學比國中數學還簡單!?123Please respect copyright.PENANAXkEdece0mP
123Please respect copyright.PENANA3K1aSSLeM6
第二課 超精簡的創新數學課!123Please respect copyright.PENANANLghbctGsr
果斷刪去八成教科書內容!123Please respect copyright.PENANAzAtZqanIdy
世界首創!「西成流」數學分類法123Please respect copyright.PENANA0V7bB6ohlX
高中數學中最輕鬆的是「代數」123Please respect copyright.PENANAubfgXgqQp8
高中數學的顛峰是「微分積分」123Please respect copyright.PENANAUq2J8jxOuA
超好用的工具「餘弦定理」123Please respect copyright.PENANAyZR0XBe2tP
真正的幾何大魔王是「向量」123Please respect copyright.PENANAXedUYHMx3n
Column文組無法理解數學的理由123Please respect copyright.PENANALeHPEttGII
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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!!123Please respect copyright.PENANAl71I7689ll
第一課 速速學會統計學基礎123Please respect copyright.PENANAcgbxwW7NGr
數據處理的3大必備條件123Please respect copyright.PENANAEDGKfyDS77
為什麼增加個數很好用?123Please respect copyright.PENANA1YnqZY29Tt
「排列組合」是指什麼?123Please respect copyright.PENANAEgYAdMlUXZ
看離散程度的「標準差」123Please respect copyright.PENANAikF02TO47Y
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第二課 記住「數列相加」的方法123Please respect copyright.PENANA2GkRa3UPA4
天才高斯少年發現的「倒序相加」123Please respect copyright.PENANA0I7NmsW011
超好用!任何等差數列都能用123Please respect copyright.PENANANU2uAZ6xHx
嚴禁直接死背公式!123Please respect copyright.PENANA2CLybSH6Qv
導出等差數列和的公式123Please respect copyright.PENANAapa3V8Ku9m
豐臣秀吉被擺了一道!數學變黃金的故事123Please respect copyright.PENANAq0s903eNRa
等比數列是「相乘後錯位相減」123Please respect copyright.PENANA3huQKm5ytV
導出等比數列和的公式123Please respect copyright.PENANA2nb6VZ8bLG
先知道處理數列和的符號!123Please respect copyright.PENANAk9nGPrDMrK
Column把數學記號當作是念魔咒123Please respect copyright.PENANAjfP2knTklU
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第三課 記住「排列組合法」123Please respect copyright.PENANAB6KbxEMqbX
從賽馬了解「排列」與「組合」123Please respect copyright.PENANA2nOWtwqQsG
Step①了解階乘的計算方法123Please respect copyright.PENANA9KYBKqlla8
Step②了解排列的計算方法123Please respect copyright.PENANAcSSeuhatgy
Step③了解組合的計算方法123Please respect copyright.PENANA0L81H13y4z
了解「排列」與「組合」的式子123Please respect copyright.PENANAWCbM0KqNu0
「排列」和「組合」的符號是「P」和「C」123Please respect copyright.PENANAM0w1gofYSn
運用「排列」和「組合」排班表123Please respect copyright.PENANAYKtVidKm6t
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第四課 搞懂「離散值」和「標準差」123Please respect copyright.PENANA3cGw48IVlo
資訊分析的基礎是找到「數據的規則」123Please respect copyright.PENANA8VCIyaTIlI
兩個步驟找出離散程度123Please respect copyright.PENANAMvjzCIqcf2
平均、分散、標準差的深~度關係123Please respect copyright.PENANABl5zizphjM
平均、離散、標準差的記號123Please respect copyright.PENANAvb0UVbAucr
試著用Excel計算標準差123Please respect copyright.PENANA6WhQTmNqwd
也把「偏差值」的計算公式記起來123Please respect copyright.PENANAVydMKhziXH
附註內容①深奧的平均世界123Please respect copyright.PENANAnxHZRhtCOj
附註內容②平均值、中位數、眾數123Please respect copyright.PENANA3Nj2CcFG8R
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第三天 超爽快!掌握高中文組數學的「分析」!123Please respect copyright.PENANAQFYWum3QCo
第一課 豁然開朗!函數的世界123Please respect copyright.PENANAcWHxuHKqhm
函數與方程式的差別?123Please respect copyright.PENANA5Rr2AimvIA
高中數學的4種函數123Please respect copyright.PENANAuik9ZPXAXV
Column少年西成的理科腦情書123Please respect copyright.PENANAmZK3HovYRT
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第二課 來複習二次函數!123Please respect copyright.PENANAe84Gvk8hRi
速速複習!二次方程式123Please respect copyright.PENANAnJtK1fMn0Y
畫出二次函數的圖形!123Please respect copyright.PENANALmfGZVWxuf
Column 物理學家是名偵探123Please respect copyright.PENANAShRQjE36Rn
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第三課 指數函數超好用!123Please respect copyright.PENANAkugOjIGM8c
記住指數函數的相關用語123Please respect copyright.PENANAqHXkhCTaaz
基本規則①乘冪相乘時,指數相加123Please respect copyright.PENANAwRNmGR6k73
基本規則②乘冪再乘冪時,指數相乘123Please respect copyright.PENANA0aPuIn93Fi
基本規則③乘冪相除時,指數相減123Please respect copyright.PENANA05t9z5ujGN
指數是負數時會怎樣?123Please respect copyright.PENANALQxJVJvH9L
指數是「0」的時候會怎樣?123Please respect copyright.PENANAr8B4inPEq1
根號可以轉換成指數運算123Please respect copyright.PENANATYp16OTLru
統整指數運算的處理方式123Please respect copyright.PENANAwoB5s9pByK
將指數函數做成圖形看看!123Please respect copyright.PENANALb1029tQQl
順便來談談「對數函數」的內容123Please respect copyright.PENANAoOhvESdr2D
天文數字也可以處理的對數函數123Please respect copyright.PENANAqSxzlYHXJd
指數函數與音樂的深~度關係123Please respect copyright.PENANACRS8bDIKO4
用iPhone計算指數函數的方法123Please respect copyright.PENANAYrjFu3zZ31
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第四天 秒懂高中數學的「幾何」精髓!123Please respect copyright.PENANAKUjB0wo6OW
第一課 不再霧煞煞的「三角比」123Please respect copyright.PENANAtb7p8dN3Gm
以餘弦定理搞懂三角形123Please respect copyright.PENANADMOEsy8slE
畫三角形的「西成流」作法123Please respect copyright.PENANAepAhyZisrL
sin、cos、tan是指「邊長比」123Please respect copyright.PENANAJAJDhYAOgv
忘掉tan的存在吧!123Please respect copyright.PENANABa7T2RDglW
直角三角形的定義中必要的θ123Please respect copyright.PENANAW79gR1NapH
三角比經常出現的陷阱題123Please respect copyright.PENANAzoHVRmhmZN
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第二課 俐落導出餘弦定理公式123Please respect copyright.PENANAJWDAlAv01P
用三角比可以做的事123Please respect copyright.PENANAGUgfufjgV2
導出餘弦定理①事前準備123Please respect copyright.PENANAfMGXRtNVwG
導出餘弦定理②成立公式、解開123Please respect copyright.PENANAo1pc1ZRQkb
導出餘弦定理③證明sin2θ+ cos2θ= 1123Please respect copyright.PENANAXxG46q0vb1
導出餘弦定理④完成123Please respect copyright.PENANAlRCXLYzyKA
餘弦定理與畢氏定理的關係123Please respect copyright.PENANAIyQvdfkmrn
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第三課 學習最後的分析工具「三角函數」!123Please respect copyright.PENANAfrts2v3dDS
三角函數只是將θ與y的關係圖像化123Please respect copyright.PENANAREdhXznqgj
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第五天 特別課程①:幾何的最終武器「向量」!123Please respect copyright.PENANA7UXdOxHr6y
第一課 偉大的「向量」123Please respect copyright.PENANAqQ2Mmyg8p7
用代數解幾何問題!?123Please respect copyright.PENANA6lXimkTE5s
「短短數行」就能證明餘弦定理123Please respect copyright.PENANASvJfGrt96p
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第二課 了解「向量」的超嶄新概念123Please respect copyright.PENANAqJ9flC8bCY
向量是集結兩種資訊的「特殊容器」123Please respect copyright.PENANAHsZfRm4kNB
眾所熟知的「純量」123Please respect copyright.PENANArNdBp1Bjai
數據時代的主角「張量」123Please respect copyright.PENANAPVWzQBqMKI
為什麼我們需要向量?123Please respect copyright.PENANAXIE01QbctT
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第三課 「向量」是用箭頭當作記號唷123Please respect copyright.PENANAl3uVJca21o
向量的書寫規則123Please respect copyright.PENANA6g5jX78YHY
張量的畫法123Please respect copyright.PENANAA8WSpnkSOM
試著把向量畫成圖123Please respect copyright.PENANAHXZF2utgT3
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第四課 「向量」的計算超簡單!123Please respect copyright.PENANAZ1ZkttOSP0
來算算向量的加法吧123Please respect copyright.PENANAarTMhW28tV
也來算算向量的減法123Please respect copyright.PENANAKmCk9reW0s
試著分解向量吧123Please respect copyright.PENANAQp7sH1xX6K
試著挑戰向量的乘法123Please respect copyright.PENANA6H4JzgFvaQ
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第五課 靠「向量」秒殺餘弦定理!123Please respect copyright.PENANAXbUfgyT2Nb
用向量瞬間導出餘弦定理!123Please respect copyright.PENANAqwRd56VIZ4
不論幾次元都能處理的向量123Please respect copyright.PENANASPMTwLMxOb
Column少年來了!(前篇)123Please respect copyright.PENANAlxVpVFAQjv
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第6天 特別課程②:用「微積分」預測未來!123Please respect copyright.PENANAXSfr51o6l9
第一課 人類的寶物!了解微分積分123Please respect copyright.PENANAHdRkP0dnru
微分積分與函數的關係123Please respect copyright.PENANAd17G0rfeNU
今天的主題是「三角形面積」123Please respect copyright.PENANAcbxkMkRk5x
牛頓VS萊布尼茲的仁義之戰123Please respect copyright.PENANAHWiY4MkxNn
怎麼區分最合適?123Please respect copyright.PENANAlR5yn73o3Z
用微積分計算三角形的面積!123Please respect copyright.PENANASuqwY7kbQf
來認識微分積分的符號123Please respect copyright.PENANA1OKeVnd9kF
Column少年來了!(後篇)123Please respect copyright.PENANAUPvbYAvXUW
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第二課 用Excel預測未來!123Please respect copyright.PENANATtnxHxZHOD
現代人,用Excel就能預測未來123Please respect copyright.PENANAU1NnFRfffC
掌握Excel的使用方法!123Please respect copyright.PENANARsQq0IyArA
「數學家」、「AI」、「統計學家」的差別123Please respect copyright.PENANA9XJjH7GzsT
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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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