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115Please respect copyright.PENANAUVnpv1hjOs
登場人物介紹115Please respect copyright.PENANABUJ15x8w2x
115Please respect copyright.PENANAaESP1ufMbM
第一天 數學的樂趣在哪裡?115Please respect copyright.PENANAIBlJM7kOTF
第一課 其實並不可怕的高中數學115Please respect copyright.PENANAuYdrIPuwD5
好想學真正實用的數學!115Please respect copyright.PENANA9K4uSQdAv9
高中數學比國中數學還簡單!?115Please respect copyright.PENANAOJfLZsEb4m
115Please respect copyright.PENANAGhn5kjYl63
第二課 超精簡的創新數學課!115Please respect copyright.PENANAPcApLwC1uZ
果斷刪去八成教科書內容!115Please respect copyright.PENANAsEXTXFMhfn
世界首創!「西成流」數學分類法115Please respect copyright.PENANAAm5Q3KhoUQ
高中數學中最輕鬆的是「代數」115Please respect copyright.PENANAo93V9KTuZg
高中數學的顛峰是「微分積分」115Please respect copyright.PENANAbSeANbViOM
超好用的工具「餘弦定理」115Please respect copyright.PENANA1ii4Aiemvl
真正的幾何大魔王是「向量」115Please respect copyright.PENANAwsjqMVVXEl
Column文組無法理解數學的理由115Please respect copyright.PENANATOfUTjQyMc
115Please respect copyright.PENANALVbr9TNIHe
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!115Please respect copyright.PENANA9yTpUvBX8v
第一課 速速學會統計學基礎115Please respect copyright.PENANA18f7TTADuT
數據處理的3大必備條件115Please respect copyright.PENANAyT3UvGPdXS
為什麼增加個數很好用?115Please respect copyright.PENANA5rPNnvGJ2v
「排列組合」是指什麼?115Please respect copyright.PENANApTsVEAJbU8
看離散程度的「標準差」115Please respect copyright.PENANAPJgbLo2e7H
115Please respect copyright.PENANArMXeX8UTs1
第二課 記住「數列相加」的方法115Please respect copyright.PENANAofA0Ez1Uqx
天才高斯少年發現的「倒序相加」115Please respect copyright.PENANAyXq50xbBiB
超好用!任何等差數列都能用115Please respect copyright.PENANAK0lsIeiYJP
嚴禁直接死背公式!115Please respect copyright.PENANAzxBIBDuCqo
導出等差數列和的公式115Please respect copyright.PENANAwAwxXYjJBR
豐臣秀吉被擺了一道!數學變黃金的故事115Please respect copyright.PENANAphU9csGvVf
等比數列是「相乘後錯位相減」115Please respect copyright.PENANAHpFw0GWEOv
導出等比數列和的公式115Please respect copyright.PENANAyPIjDCxbX7
先知道處理數列和的符號!115Please respect copyright.PENANAf1hGSIuezu
Column把數學記號當作是念魔咒115Please respect copyright.PENANAkQHFoHz9uB
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第三課 記住「排列組合法」115Please respect copyright.PENANAyUBFxjcaeI
從賽馬了解「排列」與「組合」115Please respect copyright.PENANABYfjd9riai
Step①了解階乘的計算方法115Please respect copyright.PENANA2hgXV2ap84
Step②了解排列的計算方法115Please respect copyright.PENANAF91XLeWMk0
Step③了解組合的計算方法115Please respect copyright.PENANAij9Y8qMktI
了解「排列」與「組合」的式子115Please respect copyright.PENANAGdUh1YRWqz
「排列」和「組合」的符號是「P」和「C」115Please respect copyright.PENANAambeSX37OB
運用「排列」和「組合」排班表115Please respect copyright.PENANAnUk0k3a1NS
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第四課 搞懂「離散值」和「標準差」115Please respect copyright.PENANACFUdevpiD4
資訊分析的基礎是找到「數據的規則」115Please respect copyright.PENANAGld2RYHTJO
兩個步驟找出離散程度115Please respect copyright.PENANAxg7DrZEorT
平均、分散、標準差的深~度關係115Please respect copyright.PENANAZ1oOpqpmov
平均、離散、標準差的記號115Please respect copyright.PENANAfNqBTJH0N8
試著用Excel計算標準差115Please respect copyright.PENANA7KLh3qo9Wg
也把「偏差值」的計算公式記起來115Please respect copyright.PENANAqWYpsIG2jP
附註內容①深奧的平均世界115Please respect copyright.PENANA9FDeYRvvGi
附註內容②平均值、中位數、眾數115Please respect copyright.PENANA7Udbvul77s
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第三天 超爽快!掌握高中文組數學的「分析」!115Please respect copyright.PENANAfz1Jnxjime
第一課 豁然開朗!函數的世界115Please respect copyright.PENANA5NOPpst68I
函數與方程式的差別?115Please respect copyright.PENANAvM1LU9hlcq
高中數學的4種函數115Please respect copyright.PENANAwoUZXfmJL1
Column少年西成的理科腦情書115Please respect copyright.PENANAr2jJ5RDP9M
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第二課 來複習二次函數!115Please respect copyright.PENANAVBSQdtQ5pE
速速複習!二次方程式115Please respect copyright.PENANAPrafT39JYt
畫出二次函數的圖形!115Please respect copyright.PENANAhKaYIz4vvW
Column 物理學家是名偵探115Please respect copyright.PENANAuoJI9Yw2Uf
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第三課 指數函數超好用!115Please respect copyright.PENANA4SAHTeUDC3
記住指數函數的相關用語115Please respect copyright.PENANAthuEBFO42z
基本規則①乘冪相乘時,指數相加115Please respect copyright.PENANAJmLVya61BO
基本規則②乘冪再乘冪時,指數相乘115Please respect copyright.PENANA5WqhOXOVdF
基本規則③乘冪相除時,指數相減115Please respect copyright.PENANA27oAbm2QDx
指數是負數時會怎樣?115Please respect copyright.PENANA4K1ZqAnYCt
指數是「0」的時候會怎樣?115Please respect copyright.PENANALqrIkjWYhF
根號可以轉換成指數運算115Please respect copyright.PENANAIa1Ue2ncLl
統整指數運算的處理方式115Please respect copyright.PENANAuEKd0Oi9S1
將指數函數做成圖形看看!115Please respect copyright.PENANAxNXtfMvmeB
順便來談談「對數函數」的內容115Please respect copyright.PENANADp18z4r9PS
天文數字也可以處理的對數函數115Please respect copyright.PENANA8R6NPfmeKg
指數函數與音樂的深~度關係115Please respect copyright.PENANAkvdnkxKfBo
用iPhone計算指數函數的方法115Please respect copyright.PENANAYFiEisrKJ3
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第四天 秒懂高中數學的「幾何」精髓!115Please respect copyright.PENANAyY5JsH4xRl
第一課 不再霧煞煞的「三角比」115Please respect copyright.PENANAexkzjTZ0Kf
以餘弦定理搞懂三角形115Please respect copyright.PENANA85tabBWBCR
畫三角形的「西成流」作法115Please respect copyright.PENANAQAHKWznNfq
sin、cos、tan是指「邊長比」115Please respect copyright.PENANAxMi5ykHkVC
忘掉tan的存在吧!115Please respect copyright.PENANAv18dSFpvhJ
直角三角形的定義中必要的θ115Please respect copyright.PENANA2xRdDvdIwG
三角比經常出現的陷阱題115Please respect copyright.PENANAMGJ2vpqCat
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第二課 俐落導出餘弦定理公式115Please respect copyright.PENANAMS8m4iYJs7
用三角比可以做的事115Please respect copyright.PENANAiVB0JH6aHp
導出餘弦定理①事前準備115Please respect copyright.PENANAvhYfcypdf5
導出餘弦定理②成立公式、解開115Please respect copyright.PENANA64KF7quCcA
導出餘弦定理③證明sin2θ+ cos2θ= 1115Please respect copyright.PENANAbhPHeqW7Em
導出餘弦定理④完成115Please respect copyright.PENANAJheW8TFjRF
餘弦定理與畢氏定理的關係115Please respect copyright.PENANAjybjypfPZy
115Please respect copyright.PENANANMIyjiGzAz
第三課 學習最後的分析工具「三角函數」!115Please respect copyright.PENANAnNWiv61PPv
三角函數只是將θ與y的關係圖像化115Please respect copyright.PENANAS7X4d0CtA8
115Please respect copyright.PENANAwEcXyO3vVo
第五天 特別課程①:幾何的最終武器「向量」!115Please respect copyright.PENANAInwAA95SDy
第一課 偉大的「向量」115Please respect copyright.PENANAwpAhncDleb
用代數解幾何問題!?115Please respect copyright.PENANAI5kn9ejaE5
「短短數行」就能證明餘弦定理115Please respect copyright.PENANA7f530L6nz1
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第二課 了解「向量」的超嶄新概念115Please respect copyright.PENANAfbLnFmnwmi
向量是集結兩種資訊的「特殊容器」115Please respect copyright.PENANAIexcrKeCpT
眾所熟知的「純量」115Please respect copyright.PENANAEgFvwOWYVX
數據時代的主角「張量」115Please respect copyright.PENANAViFcvKNxFC
為什麼我們需要向量?115Please respect copyright.PENANABvXjhAtQtc
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第三課 「向量」是用箭頭當作記號唷115Please respect copyright.PENANA9SdoWbEpM7
向量的書寫規則115Please respect copyright.PENANAYClJLNGyPh
張量的畫法115Please respect copyright.PENANAspKnWBz0Yl
試著把向量畫成圖115Please respect copyright.PENANA4XrS2v7k64
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第四課 「向量」的計算超簡單!115Please respect copyright.PENANATOvXpr6prc
來算算向量的加法吧115Please respect copyright.PENANAdjsrl2Igsh
也來算算向量的減法115Please respect copyright.PENANAX6t5PUOR3B
試著分解向量吧115Please respect copyright.PENANAved020bevG
試著挑戰向量的乘法115Please respect copyright.PENANAkwZXLSEkey
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第五課 靠「向量」秒殺餘弦定理!115Please respect copyright.PENANAkgcEgeIloD
用向量瞬間導出餘弦定理!115Please respect copyright.PENANAUJp41kOTSK
不論幾次元都能處理的向量115Please respect copyright.PENANA7Tugi3SKJc
Column少年來了!(前篇)115Please respect copyright.PENANAYglXGG46Mi
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第6天 特別課程②:用「微積分」預測未來!115Please respect copyright.PENANAo915ZxvgyS
第一課 人類的寶物!了解微分積分115Please respect copyright.PENANAjOv8m3ppGA
微分積分與函數的關係115Please respect copyright.PENANA0jHvMeUzyP
今天的主題是「三角形面積」115Please respect copyright.PENANAyBtiTb6u1N
牛頓VS萊布尼茲的仁義之戰115Please respect copyright.PENANAyelGr6i9XY
怎麼區分最合適?115Please respect copyright.PENANAXlcv1rpMZU
用微積分計算三角形的面積!115Please respect copyright.PENANAZMuByLuysN
來認識微分積分的符號115Please respect copyright.PENANAXRixqZfIwH
Column少年來了!(後篇)115Please respect copyright.PENANAGl7Lmnjx2E
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第二課 用Excel預測未來!115Please respect copyright.PENANAfewZZ1NW9y
現代人,用Excel就能預測未來115Please respect copyright.PENANAXeCG6boqWy
掌握Excel的使用方法!115Please respect copyright.PENANAHjmEpIToMb
「數學家」、「AI」、「統計學家」的差別115Please respect copyright.PENANAFdfKyoeHdh
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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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【創挑出處】
https://www.penana.com/article/1650704115Please respect copyright.PENANAqAb12ekoF0