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118Please respect copyright.PENANAVs6R76Hqkh
登場人物介紹118Please respect copyright.PENANAzkgiMMX7Ps
118Please respect copyright.PENANAch6VfKHhEs
第一天 數學的樂趣在哪裡?118Please respect copyright.PENANAAbeATnlpDE
第一課 其實並不可怕的高中數學118Please respect copyright.PENANAJd9iK8Y7ok
好想學真正實用的數學!118Please respect copyright.PENANAtPRtq00wJu
高中數學比國中數學還簡單!?118Please respect copyright.PENANA3H3cA96fCB
118Please respect copyright.PENANA7YqFbVnssF
第二課 超精簡的創新數學課!118Please respect copyright.PENANAOzBaFMsDTI
果斷刪去八成教科書內容!118Please respect copyright.PENANAUGYPqMo1XH
世界首創!「西成流」數學分類法118Please respect copyright.PENANASYmfywABog
高中數學中最輕鬆的是「代數」118Please respect copyright.PENANApKjMjQJxA8
高中數學的顛峰是「微分積分」118Please respect copyright.PENANAHsCDTI3UMq
超好用的工具「餘弦定理」118Please respect copyright.PENANAFelRewmCXP
真正的幾何大魔王是「向量」118Please respect copyright.PENANARILwXD5PWi
Column文組無法理解數學的理由118Please respect copyright.PENANAEnAqysNgV3
118Please respect copyright.PENANAHd0oW8OPE2
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!118Please respect copyright.PENANAL89NOxfVmk
第一課 速速學會統計學基礎118Please respect copyright.PENANAzcwmN5vZaC
數據處理的3大必備條件118Please respect copyright.PENANAW20aLWeKUO
為什麼增加個數很好用?118Please respect copyright.PENANA9NWYdNZx97
「排列組合」是指什麼?118Please respect copyright.PENANAavoBUhbzJ9
看離散程度的「標準差」118Please respect copyright.PENANAKui9EParUn
118Please respect copyright.PENANAWA4Xvk8iul
第二課 記住「數列相加」的方法118Please respect copyright.PENANAoWsBb8z3xZ
天才高斯少年發現的「倒序相加」118Please respect copyright.PENANARIkjoDvVRX
超好用!任何等差數列都能用118Please respect copyright.PENANACqw3mbyDkf
嚴禁直接死背公式!118Please respect copyright.PENANA4ILr0O5fOT
導出等差數列和的公式118Please respect copyright.PENANAoWRUDwrli9
豐臣秀吉被擺了一道!數學變黃金的故事118Please respect copyright.PENANASDKE0YO3t1
等比數列是「相乘後錯位相減」118Please respect copyright.PENANAR6AzQVYKOz
導出等比數列和的公式118Please respect copyright.PENANA3XhbG3Hio1
先知道處理數列和的符號!118Please respect copyright.PENANASfHhYUw2nk
Column把數學記號當作是念魔咒118Please respect copyright.PENANA341Fo3qb8G
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第三課 記住「排列組合法」118Please respect copyright.PENANAzikjr6ep4o
從賽馬了解「排列」與「組合」118Please respect copyright.PENANA9Zyc7PtfFB
Step①了解階乘的計算方法118Please respect copyright.PENANAypmdN4ipG6
Step②了解排列的計算方法118Please respect copyright.PENANAxJFkDrgTg5
Step③了解組合的計算方法118Please respect copyright.PENANAueaFlYmSZt
了解「排列」與「組合」的式子118Please respect copyright.PENANAfxEB97SEeH
「排列」和「組合」的符號是「P」和「C」118Please respect copyright.PENANANyQOlwdZAr
運用「排列」和「組合」排班表118Please respect copyright.PENANANAcKzn7j73
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第四課 搞懂「離散值」和「標準差」118Please respect copyright.PENANAupjcxbvgiA
資訊分析的基礎是找到「數據的規則」118Please respect copyright.PENANAyAzcA2xcDw
兩個步驟找出離散程度118Please respect copyright.PENANANoqd9BVlYz
平均、分散、標準差的深~度關係118Please respect copyright.PENANAdcL2H7mQ7F
平均、離散、標準差的記號118Please respect copyright.PENANAmwDQwaO7a4
試著用Excel計算標準差118Please respect copyright.PENANAuKMXaUXNxJ
也把「偏差值」的計算公式記起來118Please respect copyright.PENANA0tFceITdrY
附註內容①深奧的平均世界118Please respect copyright.PENANAJS4GFkX0fz
附註內容②平均值、中位數、眾數118Please respect copyright.PENANAAuHzM9sfd8
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第三天 超爽快!掌握高中文組數學的「分析」!118Please respect copyright.PENANAyLRGzGvaDp
第一課 豁然開朗!函數的世界118Please respect copyright.PENANAqkJM6Pcfu0
函數與方程式的差別?118Please respect copyright.PENANAi8ohLlzqLY
高中數學的4種函數118Please respect copyright.PENANAtBqHvRC5AI
Column少年西成的理科腦情書118Please respect copyright.PENANA4ZnhRqQ4Yh
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第二課 來複習二次函數!118Please respect copyright.PENANAloArerIQMz
速速複習!二次方程式118Please respect copyright.PENANAwZAIMmiST3
畫出二次函數的圖形!118Please respect copyright.PENANAUGg9HrrI07
Column 物理學家是名偵探118Please respect copyright.PENANAnwzD7G6RiU
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第三課 指數函數超好用!118Please respect copyright.PENANA7PZfeCPzb9
記住指數函數的相關用語118Please respect copyright.PENANAD83E3SV3r7
基本規則①乘冪相乘時,指數相加118Please respect copyright.PENANAF91l3FqNIs
基本規則②乘冪再乘冪時,指數相乘118Please respect copyright.PENANAUEIgeB9p8I
基本規則③乘冪相除時,指數相減118Please respect copyright.PENANATRQqzTlR2x
指數是負數時會怎樣?118Please respect copyright.PENANApkfBZKOofg
指數是「0」的時候會怎樣?118Please respect copyright.PENANAhmEbUN2M3t
根號可以轉換成指數運算118Please respect copyright.PENANAddR8BzAQGv
統整指數運算的處理方式118Please respect copyright.PENANAmzOQB8j9TI
將指數函數做成圖形看看!118Please respect copyright.PENANAIv8zN4WKIl
順便來談談「對數函數」的內容118Please respect copyright.PENANAUktZpjtB89
天文數字也可以處理的對數函數118Please respect copyright.PENANACPQ9HUkR1T
指數函數與音樂的深~度關係118Please respect copyright.PENANAuzpBEKCF5P
用iPhone計算指數函數的方法118Please respect copyright.PENANARD1vG7Tqik
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第四天 秒懂高中數學的「幾何」精髓!118Please respect copyright.PENANAeiGK50Pp7A
第一課 不再霧煞煞的「三角比」118Please respect copyright.PENANA5oV6WAAnnQ
以餘弦定理搞懂三角形118Please respect copyright.PENANAZhagwuPU2t
畫三角形的「西成流」作法118Please respect copyright.PENANAlYJw9xoTEG
sin、cos、tan是指「邊長比」118Please respect copyright.PENANAjd2fzFT6P3
忘掉tan的存在吧!118Please respect copyright.PENANA4lkBecJopa
直角三角形的定義中必要的θ118Please respect copyright.PENANA9pv9Qc9EgS
三角比經常出現的陷阱題118Please respect copyright.PENANA8IRvetEOPB
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第二課 俐落導出餘弦定理公式118Please respect copyright.PENANASO6wuknzOy
用三角比可以做的事118Please respect copyright.PENANAbQEzwRJXkr
導出餘弦定理①事前準備118Please respect copyright.PENANADGdGXGGx0S
導出餘弦定理②成立公式、解開118Please respect copyright.PENANAm0OuZUocMw
導出餘弦定理③證明sin2θ+ cos2θ= 1118Please respect copyright.PENANApLyOmNu3g4
導出餘弦定理④完成118Please respect copyright.PENANAxnk8Bz1fYN
餘弦定理與畢氏定理的關係118Please respect copyright.PENANAXY7Xx7ZHmm
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第三課 學習最後的分析工具「三角函數」!118Please respect copyright.PENANARUKo7gCE7i
三角函數只是將θ與y的關係圖像化118Please respect copyright.PENANAQpzLMpsyuB
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第五天 特別課程①:幾何的最終武器「向量」!118Please respect copyright.PENANAkml3eg2wFt
第一課 偉大的「向量」118Please respect copyright.PENANAiMRU0NWjyU
用代數解幾何問題!?118Please respect copyright.PENANAMISHod6ei4
「短短數行」就能證明餘弦定理118Please respect copyright.PENANAHsV4paDFmo
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第二課 了解「向量」的超嶄新概念118Please respect copyright.PENANAiARj5tCw3k
向量是集結兩種資訊的「特殊容器」118Please respect copyright.PENANAqULVvLLUB2
眾所熟知的「純量」118Please respect copyright.PENANAuFFOSqythg
數據時代的主角「張量」118Please respect copyright.PENANAyFTBHTiK5H
為什麼我們需要向量?118Please respect copyright.PENANAidEgmBBj2D
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第三課 「向量」是用箭頭當作記號唷118Please respect copyright.PENANAnqhr5pTi0v
向量的書寫規則118Please respect copyright.PENANAIA844iyi75
張量的畫法118Please respect copyright.PENANANEFWYZOiSS
試著把向量畫成圖118Please respect copyright.PENANALO9c1PXqUL
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第四課 「向量」的計算超簡單!118Please respect copyright.PENANANyWMjLnGqG
來算算向量的加法吧118Please respect copyright.PENANAVKgxbbRTu9
也來算算向量的減法118Please respect copyright.PENANAbyTBg7tv57
試著分解向量吧118Please respect copyright.PENANAL7pX0nrMUA
試著挑戰向量的乘法118Please respect copyright.PENANAYWu16Tiymq
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第五課 靠「向量」秒殺餘弦定理!118Please respect copyright.PENANAr37Il97agk
用向量瞬間導出餘弦定理!118Please respect copyright.PENANAAneQUCBL4l
不論幾次元都能處理的向量118Please respect copyright.PENANAb1A6jIqQqp
Column少年來了!(前篇)118Please respect copyright.PENANAmL3HVzRfJU
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第6天 特別課程②:用「微積分」預測未來!118Please respect copyright.PENANAp5zI5nseP8
第一課 人類的寶物!了解微分積分118Please respect copyright.PENANAXhQdi359BK
微分積分與函數的關係118Please respect copyright.PENANAgznkqZTy7S
今天的主題是「三角形面積」118Please respect copyright.PENANApeWf1vyuWc
牛頓VS萊布尼茲的仁義之戰118Please respect copyright.PENANAqbc8mPFUuL
怎麼區分最合適?118Please respect copyright.PENANAp5c7e6TpMM
用微積分計算三角形的面積!118Please respect copyright.PENANAyYM3kDb3IP
來認識微分積分的符號118Please respect copyright.PENANAbxorcNTZbq
Column少年來了!(後篇)118Please respect copyright.PENANAAtTSvsd2yo
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第二課 用Excel預測未來!118Please respect copyright.PENANAIKWfzNWtWq
現代人,用Excel就能預測未來118Please respect copyright.PENANAmkmch28IPW
掌握Excel的使用方法!118Please respect copyright.PENANAjfMZDmJd3y
「數學家」、「AI」、「統計學家」的差別118Please respect copyright.PENANAkNxgzw7ldD
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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》
118Please respect copyright.PENANA06WdnV8Nce
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/1650704118Please respect copyright.PENANAoIA6m5jFrB