【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133Please respect copyright.PENANAmX74qR2qLp
登場人物介紹133Please respect copyright.PENANAtbq0R3L10J
133Please respect copyright.PENANAjO8HB0Vb7l
第一天 數學的樂趣在哪裡?133Please respect copyright.PENANApIKVgfCeRE
第一課 其實並不可怕的高中數學133Please respect copyright.PENANAG0P2Hdh9pK
好想學真正實用的數學!133Please respect copyright.PENANARhJQzmTWFd
高中數學比國中數學還簡單!?133Please respect copyright.PENANA0Zb2KMndJw
133Please respect copyright.PENANADH4pGTlcCc
第二課 超精簡的創新數學課!133Please respect copyright.PENANAkdYJNW7XnU
果斷刪去八成教科書內容!133Please respect copyright.PENANAOgh6xG1l59
世界首創!「西成流」數學分類法133Please respect copyright.PENANAhIuru3CMEg
高中數學中最輕鬆的是「代數」133Please respect copyright.PENANAeSLuzdmLIX
高中數學的顛峰是「微分積分」133Please respect copyright.PENANArKWYLGGLgl
超好用的工具「餘弦定理」133Please respect copyright.PENANACtGduSa6Df
真正的幾何大魔王是「向量」133Please respect copyright.PENANAjBYve5fplM
Column文組無法理解數學的理由133Please respect copyright.PENANAqXz4zn5Qf5
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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!!133Please respect copyright.PENANAtPtXnSafnh
第一課 速速學會統計學基礎133Please respect copyright.PENANABJ1PiQOb18
數據處理的3大必備條件133Please respect copyright.PENANADc0M6ytdyR
為什麼增加個數很好用?133Please respect copyright.PENANASpDgeZzgbf
「排列組合」是指什麼?133Please respect copyright.PENANAjEXMQ3Wed4
看離散程度的「標準差」133Please respect copyright.PENANAhVOFNGliEd
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第二課 記住「數列相加」的方法133Please respect copyright.PENANApEOr4uuRYB
天才高斯少年發現的「倒序相加」133Please respect copyright.PENANA5MkGRP9TL2
超好用!任何等差數列都能用133Please respect copyright.PENANA38GmawFAWz
嚴禁直接死背公式!133Please respect copyright.PENANAHh1MNLG0sP
導出等差數列和的公式133Please respect copyright.PENANAsFqpjd0C1q
豐臣秀吉被擺了一道!數學變黃金的故事133Please respect copyright.PENANAYQR3zguod7
等比數列是「相乘後錯位相減」133Please respect copyright.PENANA9NsBjlJqvD
導出等比數列和的公式133Please respect copyright.PENANA5otNQjThvq
先知道處理數列和的符號!133Please respect copyright.PENANAolUyJvJCko
Column把數學記號當作是念魔咒133Please respect copyright.PENANA9PrzHRcYvw
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第三課 記住「排列組合法」133Please respect copyright.PENANABg0YZ2n5wT
從賽馬了解「排列」與「組合」133Please respect copyright.PENANArozYa7Yq45
Step①了解階乘的計算方法133Please respect copyright.PENANAmuDl3lT7ki
Step②了解排列的計算方法133Please respect copyright.PENANAxASI2M1yVJ
Step③了解組合的計算方法133Please respect copyright.PENANAVMDaQFSKbd
了解「排列」與「組合」的式子133Please respect copyright.PENANAUvWQ3zXnwv
「排列」和「組合」的符號是「P」和「C」133Please respect copyright.PENANAdDXp76tdDd
運用「排列」和「組合」排班表133Please respect copyright.PENANAvzDCEs9s92
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第四課 搞懂「離散值」和「標準差」133Please respect copyright.PENANALzfUg6s87s
資訊分析的基礎是找到「數據的規則」133Please respect copyright.PENANA0jbtMsmJB8
兩個步驟找出離散程度133Please respect copyright.PENANA5Rgw3YU9jI
平均、分散、標準差的深~度關係133Please respect copyright.PENANAOuJR7g3koz
平均、離散、標準差的記號133Please respect copyright.PENANAamHB159MrW
試著用Excel計算標準差133Please respect copyright.PENANAmaZa3fjaqO
也把「偏差值」的計算公式記起來133Please respect copyright.PENANAmr4QldrYe6
附註內容①深奧的平均世界133Please respect copyright.PENANAKVqucTqArI
附註內容②平均值、中位數、眾數133Please respect copyright.PENANAky9aeMMxcd
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第三天 超爽快!掌握高中文組數學的「分析」!133Please respect copyright.PENANAH423nu4OA2
第一課 豁然開朗!函數的世界133Please respect copyright.PENANANXLFeFGnh4
函數與方程式的差別?133Please respect copyright.PENANATTyeaNtJlO
高中數學的4種函數133Please respect copyright.PENANAUyJGGb8Mog
Column少年西成的理科腦情書133Please respect copyright.PENANAEpppD8dJuJ
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第二課 來複習二次函數!133Please respect copyright.PENANAdu2f9otpWc
速速複習!二次方程式133Please respect copyright.PENANAReKGhhZSRm
畫出二次函數的圖形!133Please respect copyright.PENANA074Cb2SKFL
Column 物理學家是名偵探133Please respect copyright.PENANATuca1qzCT6
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第三課 指數函數超好用!133Please respect copyright.PENANAzKqP7kHFNq
記住指數函數的相關用語133Please respect copyright.PENANArscpUqu8qD
基本規則①乘冪相乘時,指數相加133Please respect copyright.PENANAXAEuu5p6qV
基本規則②乘冪再乘冪時,指數相乘133Please respect copyright.PENANADw1dbjjoxk
基本規則③乘冪相除時,指數相減133Please respect copyright.PENANAZgBITWRBc9
指數是負數時會怎樣?133Please respect copyright.PENANArsIUnAPDGV
指數是「0」的時候會怎樣?133Please respect copyright.PENANAKYIn9oF7iD
根號可以轉換成指數運算133Please respect copyright.PENANAkpuoNd5VDu
統整指數運算的處理方式133Please respect copyright.PENANAsoy08QhmHI
將指數函數做成圖形看看!133Please respect copyright.PENANAdOxEb1qVU4
順便來談談「對數函數」的內容133Please respect copyright.PENANAU82SSbul3x
天文數字也可以處理的對數函數133Please respect copyright.PENANAsgSnxC1dhZ
指數函數與音樂的深~度關係133Please respect copyright.PENANA1Ubr3fAWES
用iPhone計算指數函數的方法133Please respect copyright.PENANAGIpqGdan8V
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第四天 秒懂高中數學的「幾何」精髓!133Please respect copyright.PENANANKUiqdNSoH
第一課 不再霧煞煞的「三角比」133Please respect copyright.PENANAqYt00tYpXu
以餘弦定理搞懂三角形133Please respect copyright.PENANAhSUIBJSMqF
畫三角形的「西成流」作法133Please respect copyright.PENANAoYXnPuEKzP
sin、cos、tan是指「邊長比」133Please respect copyright.PENANACKyjoTZDgt
忘掉tan的存在吧!133Please respect copyright.PENANALCGub7D358
直角三角形的定義中必要的θ133Please respect copyright.PENANAkbnu00VHp9
三角比經常出現的陷阱題133Please respect copyright.PENANAtdQOr1avdr
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第二課 俐落導出餘弦定理公式133Please respect copyright.PENANA098uvbv1zh
用三角比可以做的事133Please respect copyright.PENANAKv1zEwOwEL
導出餘弦定理①事前準備133Please respect copyright.PENANAyEwD52tGGP
導出餘弦定理②成立公式、解開133Please respect copyright.PENANA91XYICsQpa
導出餘弦定理③證明sin2θ+ cos2θ= 1133Please respect copyright.PENANA4qsJQhWt7k
導出餘弦定理④完成133Please respect copyright.PENANA6T3SkTdOtJ
餘弦定理與畢氏定理的關係133Please respect copyright.PENANAlQ6xdZotCw
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第三課 學習最後的分析工具「三角函數」!133Please respect copyright.PENANAWPxldyybmF
三角函數只是將θ與y的關係圖像化133Please respect copyright.PENANAfCqnGlwufZ
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第五天 特別課程①:幾何的最終武器「向量」!133Please respect copyright.PENANAtdDNuvpDIj
第一課 偉大的「向量」133Please respect copyright.PENANAUioF94zFYR
用代數解幾何問題!?133Please respect copyright.PENANAcHxb4zizOi
「短短數行」就能證明餘弦定理133Please respect copyright.PENANAshymCS48PU
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第二課 了解「向量」的超嶄新概念133Please respect copyright.PENANAIROWguaQAD
向量是集結兩種資訊的「特殊容器」133Please respect copyright.PENANAcvAJ6KZU2x
眾所熟知的「純量」133Please respect copyright.PENANAdNfgFFa9Zc
數據時代的主角「張量」133Please respect copyright.PENANAmtdAqc6S9y
為什麼我們需要向量?133Please respect copyright.PENANAL60oS0LimT
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第三課 「向量」是用箭頭當作記號唷133Please respect copyright.PENANAViJstenGAm
向量的書寫規則133Please respect copyright.PENANAQ07IeZD7KM
張量的畫法133Please respect copyright.PENANAu83EuMyjrt
試著把向量畫成圖133Please respect copyright.PENANAfPqXIEdC8m
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第四課 「向量」的計算超簡單!133Please respect copyright.PENANARA90tfQHlT
來算算向量的加法吧133Please respect copyright.PENANAp5CPcZAViu
也來算算向量的減法133Please respect copyright.PENANA06GBNOanzw
試著分解向量吧133Please respect copyright.PENANAdUcNmABqvL
試著挑戰向量的乘法133Please respect copyright.PENANAw45uI51xLi
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第五課 靠「向量」秒殺餘弦定理!133Please respect copyright.PENANAJ5QJLYO0sK
用向量瞬間導出餘弦定理!133Please respect copyright.PENANADV5mysZlzj
不論幾次元都能處理的向量133Please respect copyright.PENANARgua7fXvWY
Column少年來了!(前篇)133Please respect copyright.PENANADJ4awfy1CP
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第6天 特別課程②:用「微積分」預測未來!133Please respect copyright.PENANAPPuEp8F6SF
第一課 人類的寶物!了解微分積分133Please respect copyright.PENANAUoLDTG8OPG
微分積分與函數的關係133Please respect copyright.PENANAI8C9XT3tAV
今天的主題是「三角形面積」133Please respect copyright.PENANA3VYVceKFOr
牛頓VS萊布尼茲的仁義之戰133Please respect copyright.PENANA4BesMibzmb
怎麼區分最合適?133Please respect copyright.PENANA0IEZJjdWY7
用微積分計算三角形的面積!133Please respect copyright.PENANAtZsZj9WR3X
來認識微分積分的符號133Please respect copyright.PENANA92nPcKXYEF
Column少年來了!(後篇)133Please respect copyright.PENANAkwKzprpv40
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第二課 用Excel預測未來!133Please respect copyright.PENANANMsptNU0j6
現代人,用Excel就能預測未來133Please respect copyright.PENANAaAzCiGgMCA
掌握Excel的使用方法!133Please respect copyright.PENANA18xfWImw3C
「數學家」、「AI」、「統計學家」的差別133Please respect copyright.PENANAfEJxfPjJ4f
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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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