【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224Please respect copyright.PENANASQ8EJk5vtc
登場人物介紹224Please respect copyright.PENANAEiporKh0f6
224Please respect copyright.PENANAsgadwS4IM7
第一天 數學的樂趣在哪裡?224Please respect copyright.PENANAL9b6Et6jIZ
第一課 其實並不可怕的高中數學224Please respect copyright.PENANARa7AgtVJUV
好想學真正實用的數學!224Please respect copyright.PENANAad8aNd3sAJ
高中數學比國中數學還簡單!?224Please respect copyright.PENANAAKzEXG4X9c
224Please respect copyright.PENANASLiOu0Xib3
第二課 超精簡的創新數學課!224Please respect copyright.PENANAg41dWhWYB9
果斷刪去八成教科書內容!224Please respect copyright.PENANAjAL8eHPpBB
世界首創!「西成流」數學分類法224Please respect copyright.PENANAiWLsRLKJc3
高中數學中最輕鬆的是「代數」224Please respect copyright.PENANASBkrbTR9G5
高中數學的顛峰是「微分積分」224Please respect copyright.PENANADSEltSKeSH
超好用的工具「餘弦定理」224Please respect copyright.PENANAp0CI63VZAX
真正的幾何大魔王是「向量」224Please respect copyright.PENANAxulmwmvC2x
Column文組無法理解數學的理由224Please respect copyright.PENANAMlcB03C474
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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!!224Please respect copyright.PENANAnLlQPcD2wd
第一課 速速學會統計學基礎224Please respect copyright.PENANABxm3Ba6j1O
數據處理的3大必備條件224Please respect copyright.PENANAZbN3heHkLx
為什麼增加個數很好用?224Please respect copyright.PENANAqJeAtG8OQz
「排列組合」是指什麼?224Please respect copyright.PENANA6Zv8vygNWZ
看離散程度的「標準差」224Please respect copyright.PENANAODQxR3jJXy
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第二課 記住「數列相加」的方法224Please respect copyright.PENANABifjo8DZFQ
天才高斯少年發現的「倒序相加」224Please respect copyright.PENANAe4pVMkRXAi
超好用!任何等差數列都能用224Please respect copyright.PENANANwOGxpDUA4
嚴禁直接死背公式!224Please respect copyright.PENANAwmGvivuudy
導出等差數列和的公式224Please respect copyright.PENANABLbsb3mWCF
豐臣秀吉被擺了一道!數學變黃金的故事224Please respect copyright.PENANAzoVmmZ1vWI
等比數列是「相乘後錯位相減」224Please respect copyright.PENANAo8SyR4OkN1
導出等比數列和的公式224Please respect copyright.PENANAUeciY7FTcg
先知道處理數列和的符號!224Please respect copyright.PENANAIzvqiKMICJ
Column把數學記號當作是念魔咒224Please respect copyright.PENANAjlytsqRKfL
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第三課 記住「排列組合法」224Please respect copyright.PENANAD0N0mPYkgi
從賽馬了解「排列」與「組合」224Please respect copyright.PENANAGo1a81cNOC
Step①了解階乘的計算方法224Please respect copyright.PENANAUe1zKGaYRS
Step②了解排列的計算方法224Please respect copyright.PENANAUBIj7aIBE9
Step③了解組合的計算方法224Please respect copyright.PENANAAX3SFqeVcN
了解「排列」與「組合」的式子224Please respect copyright.PENANAO5pagoWtCX
「排列」和「組合」的符號是「P」和「C」224Please respect copyright.PENANAbboVDWImib
運用「排列」和「組合」排班表224Please respect copyright.PENANA1TqEpIaQy1
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第四課 搞懂「離散值」和「標準差」224Please respect copyright.PENANAP5rwrmHrnN
資訊分析的基礎是找到「數據的規則」224Please respect copyright.PENANAutI6FbUKum
兩個步驟找出離散程度224Please respect copyright.PENANAm42vVTDiz1
平均、分散、標準差的深~度關係224Please respect copyright.PENANAJ1P2IM1a8i
平均、離散、標準差的記號224Please respect copyright.PENANA6Uu15sSYy0
試著用Excel計算標準差224Please respect copyright.PENANA0ar8E03b9K
也把「偏差值」的計算公式記起來224Please respect copyright.PENANAyPD8wZB1n7
附註內容①深奧的平均世界224Please respect copyright.PENANAUbjsGstN98
附註內容②平均值、中位數、眾數224Please respect copyright.PENANAeYpF4firnc
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第三天 超爽快!掌握高中文組數學的「分析」!224Please respect copyright.PENANAHk58QZfepB
第一課 豁然開朗!函數的世界224Please respect copyright.PENANAJ1gvclbsEm
函數與方程式的差別?224Please respect copyright.PENANAD7ZubzW35U
高中數學的4種函數224Please respect copyright.PENANAn5pjDdw2kj
Column少年西成的理科腦情書224Please respect copyright.PENANALFnp0a7VWW
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第二課 來複習二次函數!224Please respect copyright.PENANAMBAGiwdtXS
速速複習!二次方程式224Please respect copyright.PENANAm3F1ocJvSW
畫出二次函數的圖形!224Please respect copyright.PENANAVPKPzOjweQ
Column 物理學家是名偵探224Please respect copyright.PENANANdW8PrCYCp
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第三課 指數函數超好用!224Please respect copyright.PENANA3I0f5EYesS
記住指數函數的相關用語224Please respect copyright.PENANAW9jrr5PhUf
基本規則①乘冪相乘時,指數相加224Please respect copyright.PENANA5w9RylBHgk
基本規則②乘冪再乘冪時,指數相乘224Please respect copyright.PENANA80lSTvZGnb
基本規則③乘冪相除時,指數相減224Please respect copyright.PENANAlycbIiGG6L
指數是負數時會怎樣?224Please respect copyright.PENANAeyvjo7mapu
指數是「0」的時候會怎樣?224Please respect copyright.PENANA326u1OwC7g
根號可以轉換成指數運算224Please respect copyright.PENANAiTijjU3QX5
統整指數運算的處理方式224Please respect copyright.PENANAU3u2VeCuuI
將指數函數做成圖形看看!224Please respect copyright.PENANA01uCPpJk2o
順便來談談「對數函數」的內容224Please respect copyright.PENANAybPYYC2juD
天文數字也可以處理的對數函數224Please respect copyright.PENANAoxOILOvv2f
指數函數與音樂的深~度關係224Please respect copyright.PENANAuLBNRx2DER
用iPhone計算指數函數的方法224Please respect copyright.PENANAGkzcZfDdSz
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第四天 秒懂高中數學的「幾何」精髓!224Please respect copyright.PENANAFrTpOyUX8E
第一課 不再霧煞煞的「三角比」224Please respect copyright.PENANAFY8jqpmqWq
以餘弦定理搞懂三角形224Please respect copyright.PENANALUeuXsYyPC
畫三角形的「西成流」作法224Please respect copyright.PENANAoUnni5gkXq
sin、cos、tan是指「邊長比」224Please respect copyright.PENANA6IbKKDv9zF
忘掉tan的存在吧!224Please respect copyright.PENANA5w0JjrjPzj
直角三角形的定義中必要的θ224Please respect copyright.PENANARzI9cEq6PM
三角比經常出現的陷阱題224Please respect copyright.PENANA3JAN1MTD1Z
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第二課 俐落導出餘弦定理公式224Please respect copyright.PENANArRUAMolosr
用三角比可以做的事224Please respect copyright.PENANAZtjIPpMfcj
導出餘弦定理①事前準備224Please respect copyright.PENANA0oRdFWwDAr
導出餘弦定理②成立公式、解開224Please respect copyright.PENANAvVvtGzOR0q
導出餘弦定理③證明sin2θ+ cos2θ= 1224Please respect copyright.PENANAjShLYT6nmd
導出餘弦定理④完成224Please respect copyright.PENANA9ktpak0mLb
餘弦定理與畢氏定理的關係224Please respect copyright.PENANAAjAnGZ04Ra
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第三課 學習最後的分析工具「三角函數」!224Please respect copyright.PENANAgcW66BU2EO
三角函數只是將θ與y的關係圖像化224Please respect copyright.PENANAtNC6dJnDkh
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第五天 特別課程①:幾何的最終武器「向量」!224Please respect copyright.PENANAMDQZ86hAUu
第一課 偉大的「向量」224Please respect copyright.PENANAOsG430lCmh
用代數解幾何問題!?224Please respect copyright.PENANAxNuR4hN8Er
「短短數行」就能證明餘弦定理224Please respect copyright.PENANAe85gKfjXb1
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第二課 了解「向量」的超嶄新概念224Please respect copyright.PENANA1E9EQv0F9t
向量是集結兩種資訊的「特殊容器」224Please respect copyright.PENANArSvjJUgvZ1
眾所熟知的「純量」224Please respect copyright.PENANAHr990mNiNJ
數據時代的主角「張量」224Please respect copyright.PENANAVMk8dhGp19
為什麼我們需要向量?224Please respect copyright.PENANA2Icz0y8ynY
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第三課 「向量」是用箭頭當作記號唷224Please respect copyright.PENANAiR7tUGTvVB
向量的書寫規則224Please respect copyright.PENANAa8CZOPPQZG
張量的畫法224Please respect copyright.PENANAmgS1ASEUsV
試著把向量畫成圖224Please respect copyright.PENANAp3ungV4nmy
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第四課 「向量」的計算超簡單!224Please respect copyright.PENANABBFFmqBQKi
來算算向量的加法吧224Please respect copyright.PENANAuCR6H4EvYy
也來算算向量的減法224Please respect copyright.PENANAYwuxmq0HaP
試著分解向量吧224Please respect copyright.PENANA2CRKOF1E8C
試著挑戰向量的乘法224Please respect copyright.PENANA9ugr7Tr3a5
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第五課 靠「向量」秒殺餘弦定理!224Please respect copyright.PENANAghD3H5xY60
用向量瞬間導出餘弦定理!224Please respect copyright.PENANAj7Ca3Im7gK
不論幾次元都能處理的向量224Please respect copyright.PENANAOjvt24er0d
Column少年來了!(前篇)224Please respect copyright.PENANAcLMRKmi6ex
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第6天 特別課程②:用「微積分」預測未來!224Please respect copyright.PENANADZlgv34HPT
第一課 人類的寶物!了解微分積分224Please respect copyright.PENANASAuuSUPRIa
微分積分與函數的關係224Please respect copyright.PENANAicAjSTkdWl
今天的主題是「三角形面積」224Please respect copyright.PENANAxlCZTph4HQ
牛頓VS萊布尼茲的仁義之戰224Please respect copyright.PENANA21Ea6wnOo6
怎麼區分最合適?224Please respect copyright.PENANArj5XcSLqNd
用微積分計算三角形的面積!224Please respect copyright.PENANArKhnp8uKuP
來認識微分積分的符號224Please respect copyright.PENANALivHvUezSl
Column少年來了!(後篇)224Please respect copyright.PENANAG5YYk44ZQr
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第二課 用Excel預測未來!224Please respect copyright.PENANA1wcty0103y
現代人,用Excel就能預測未來224Please respect copyright.PENANAL0mciZqWiN
掌握Excel的使用方法!224Please respect copyright.PENANA54c8cieGfj
「數學家」、「AI」、「統計學家」的差別224Please respect copyright.PENANABr98K3iXoF
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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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