【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189Please respect copyright.PENANAL5jT6W0qfi
登場人物介紹189Please respect copyright.PENANAwGNJuxwyPs
189Please respect copyright.PENANAuuuEl7PQyt
第一天 數學的樂趣在哪裡?189Please respect copyright.PENANALtgHS7xiNh
第一課 其實並不可怕的高中數學189Please respect copyright.PENANA4UzXckKBMw
好想學真正實用的數學!189Please respect copyright.PENANArPp4M9T2Rz
高中數學比國中數學還簡單!?189Please respect copyright.PENANAtzRiSznrCw
189Please respect copyright.PENANA72cUzzJkjN
第二課 超精簡的創新數學課!189Please respect copyright.PENANANIw60rGb45
果斷刪去八成教科書內容!189Please respect copyright.PENANAhq4KgOulL1
世界首創!「西成流」數學分類法189Please respect copyright.PENANA7v1DWHtydu
高中數學中最輕鬆的是「代數」189Please respect copyright.PENANAKi18QmbdUj
高中數學的顛峰是「微分積分」189Please respect copyright.PENANA3KooAEAi8i
超好用的工具「餘弦定理」189Please respect copyright.PENANAhVuhWx4AiT
真正的幾何大魔王是「向量」189Please respect copyright.PENANADM5KNvkpuY
Column文組無法理解數學的理由189Please respect copyright.PENANAdli2BHymBJ
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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!!189Please respect copyright.PENANAHmBgl6kvQn
第一課 速速學會統計學基礎189Please respect copyright.PENANASNoK9obdYR
數據處理的3大必備條件189Please respect copyright.PENANA4kquEkSqhx
為什麼增加個數很好用?189Please respect copyright.PENANA627oYlujrw
「排列組合」是指什麼?189Please respect copyright.PENANALgzNaPSVMh
看離散程度的「標準差」189Please respect copyright.PENANAdZpGQhH218
189Please respect copyright.PENANASyNnRNYJNB
第二課 記住「數列相加」的方法189Please respect copyright.PENANA2G7yZlOi1a
天才高斯少年發現的「倒序相加」189Please respect copyright.PENANAMyfo3DNrPg
超好用!任何等差數列都能用189Please respect copyright.PENANAzWnBvd4zr4
嚴禁直接死背公式!189Please respect copyright.PENANAh81ZDoCXCH
導出等差數列和的公式189Please respect copyright.PENANAx0ycecvwcv
豐臣秀吉被擺了一道!數學變黃金的故事189Please respect copyright.PENANA1CfbinkQNC
等比數列是「相乘後錯位相減」189Please respect copyright.PENANAA3lQmSWnVS
導出等比數列和的公式189Please respect copyright.PENANAmO23qVVcdk
先知道處理數列和的符號!189Please respect copyright.PENANATKmijdOgZJ
Column把數學記號當作是念魔咒189Please respect copyright.PENANAGzhkzilOCI
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第三課 記住「排列組合法」189Please respect copyright.PENANA3pwnuPVGIM
從賽馬了解「排列」與「組合」189Please respect copyright.PENANAuHqbUI4ZUu
Step①了解階乘的計算方法189Please respect copyright.PENANACdssrA9d6n
Step②了解排列的計算方法189Please respect copyright.PENANADRvYVt1SFO
Step③了解組合的計算方法189Please respect copyright.PENANADRgijUj8GC
了解「排列」與「組合」的式子189Please respect copyright.PENANAlUybdWY4nb
「排列」和「組合」的符號是「P」和「C」189Please respect copyright.PENANAp3bglP0Kok
運用「排列」和「組合」排班表189Please respect copyright.PENANA5gUhdjHqMT
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第四課 搞懂「離散值」和「標準差」189Please respect copyright.PENANAfhY8fGxtYZ
資訊分析的基礎是找到「數據的規則」189Please respect copyright.PENANAXVn7wpjxiq
兩個步驟找出離散程度189Please respect copyright.PENANAuGV670e9Ju
平均、分散、標準差的深~度關係189Please respect copyright.PENANA3xyVoKwtyZ
平均、離散、標準差的記號189Please respect copyright.PENANAsJhtxfSxgt
試著用Excel計算標準差189Please respect copyright.PENANAcvMyFcXhSe
也把「偏差值」的計算公式記起來189Please respect copyright.PENANADZKFMGcjRI
附註內容①深奧的平均世界189Please respect copyright.PENANAGu8b3HKzMP
附註內容②平均值、中位數、眾數189Please respect copyright.PENANAcojLSZCWBw
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第三天 超爽快!掌握高中文組數學的「分析」!189Please respect copyright.PENANAF8zzywT1Jk
第一課 豁然開朗!函數的世界189Please respect copyright.PENANAwkKFc0puHZ
函數與方程式的差別?189Please respect copyright.PENANAmQQiKDTc5l
高中數學的4種函數189Please respect copyright.PENANAAdNFbyjQ6u
Column少年西成的理科腦情書189Please respect copyright.PENANAK7lCUo6u9I
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第二課 來複習二次函數!189Please respect copyright.PENANAlsR8QcWlFG
速速複習!二次方程式189Please respect copyright.PENANAmeHIRR5WUJ
畫出二次函數的圖形!189Please respect copyright.PENANAtjbrQnkMvQ
Column 物理學家是名偵探189Please respect copyright.PENANAWKp1dlCikH
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第三課 指數函數超好用!189Please respect copyright.PENANAdlWNB8mdJw
記住指數函數的相關用語189Please respect copyright.PENANA4dXdyoQho4
基本規則①乘冪相乘時,指數相加189Please respect copyright.PENANAUbYMdjmmDo
基本規則②乘冪再乘冪時,指數相乘189Please respect copyright.PENANAV45GbzzOfr
基本規則③乘冪相除時,指數相減189Please respect copyright.PENANAWUjdQrrOno
指數是負數時會怎樣?189Please respect copyright.PENANAGrB6MEVvzI
指數是「0」的時候會怎樣?189Please respect copyright.PENANABngY9rszeS
根號可以轉換成指數運算189Please respect copyright.PENANALBPbKbO1cK
統整指數運算的處理方式189Please respect copyright.PENANAiDFSshdptE
將指數函數做成圖形看看!189Please respect copyright.PENANAFZNDLw68Gj
順便來談談「對數函數」的內容189Please respect copyright.PENANAtRSKGT1dGD
天文數字也可以處理的對數函數189Please respect copyright.PENANA9ZY9I9rsUj
指數函數與音樂的深~度關係189Please respect copyright.PENANArsYBtBdh9Y
用iPhone計算指數函數的方法189Please respect copyright.PENANAn4VwIuyNcC
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第四天 秒懂高中數學的「幾何」精髓!189Please respect copyright.PENANAKlYTPQIRgQ
第一課 不再霧煞煞的「三角比」189Please respect copyright.PENANAb8Eb5dyOxP
以餘弦定理搞懂三角形189Please respect copyright.PENANAKPjs3h9JgS
畫三角形的「西成流」作法189Please respect copyright.PENANA3sSkrPSCRo
sin、cos、tan是指「邊長比」189Please respect copyright.PENANA3DzlECcner
忘掉tan的存在吧!189Please respect copyright.PENANAhdQhTUAVSY
直角三角形的定義中必要的θ189Please respect copyright.PENANAvkp1OwbUCy
三角比經常出現的陷阱題189Please respect copyright.PENANAMWx9Dpi7zq
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第二課 俐落導出餘弦定理公式189Please respect copyright.PENANAamyNRXVDRl
用三角比可以做的事189Please respect copyright.PENANASMYEW9NtRn
導出餘弦定理①事前準備189Please respect copyright.PENANAZN8uVT2Iav
導出餘弦定理②成立公式、解開189Please respect copyright.PENANASvBZhI1jza
導出餘弦定理③證明sin2θ+ cos2θ= 1189Please respect copyright.PENANAyginQtZXEe
導出餘弦定理④完成189Please respect copyright.PENANALYhkjaQL7k
餘弦定理與畢氏定理的關係189Please respect copyright.PENANAcObAZl70LQ
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第三課 學習最後的分析工具「三角函數」!189Please respect copyright.PENANAEMyumxHDtC
三角函數只是將θ與y的關係圖像化189Please respect copyright.PENANAsU4ofhVd8V
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第五天 特別課程①:幾何的最終武器「向量」!189Please respect copyright.PENANAoJfe85yYDL
第一課 偉大的「向量」189Please respect copyright.PENANApE31wQdvc5
用代數解幾何問題!?189Please respect copyright.PENANAv9F71ZRHy2
「短短數行」就能證明餘弦定理189Please respect copyright.PENANAt9QISJTFkR
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第二課 了解「向量」的超嶄新概念189Please respect copyright.PENANAHEhVvUfRCP
向量是集結兩種資訊的「特殊容器」189Please respect copyright.PENANAIqTusclcUt
眾所熟知的「純量」189Please respect copyright.PENANAMHHY2hVURQ
數據時代的主角「張量」189Please respect copyright.PENANAlPbklNQMmN
為什麼我們需要向量?189Please respect copyright.PENANAWZt0VNPqL8
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第三課 「向量」是用箭頭當作記號唷189Please respect copyright.PENANAUOfJ3XuTQU
向量的書寫規則189Please respect copyright.PENANAqWuTA7G1VQ
張量的畫法189Please respect copyright.PENANADnzYq5weyv
試著把向量畫成圖189Please respect copyright.PENANAMsdwbbqx2a
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第四課 「向量」的計算超簡單!189Please respect copyright.PENANAV5UY6gCQT8
來算算向量的加法吧189Please respect copyright.PENANAqmdrueYTqc
也來算算向量的減法189Please respect copyright.PENANAC6PqnNUfsN
試著分解向量吧189Please respect copyright.PENANACKea0H9LRt
試著挑戰向量的乘法189Please respect copyright.PENANAUWLrBBvXeG
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第五課 靠「向量」秒殺餘弦定理!189Please respect copyright.PENANAdCKoAp6C8B
用向量瞬間導出餘弦定理!189Please respect copyright.PENANAY5OmyqUnNA
不論幾次元都能處理的向量189Please respect copyright.PENANAlUYqLXN6iV
Column少年來了!(前篇)189Please respect copyright.PENANAUoar5hSQkR
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第6天 特別課程②:用「微積分」預測未來!189Please respect copyright.PENANAFV2l1KvTjh
第一課 人類的寶物!了解微分積分189Please respect copyright.PENANAZYZsz4WZDn
微分積分與函數的關係189Please respect copyright.PENANAjCkdVExrSw
今天的主題是「三角形面積」189Please respect copyright.PENANA5GHEIaunQl
牛頓VS萊布尼茲的仁義之戰189Please respect copyright.PENANAEHCPpnB9hm
怎麼區分最合適?189Please respect copyright.PENANASHkssuVdMJ
用微積分計算三角形的面積!189Please respect copyright.PENANArYiYt1sJjo
來認識微分積分的符號189Please respect copyright.PENANAtVQxEt2xL4
Column少年來了!(後篇)189Please respect copyright.PENANAvPcmFhRjYp
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第二課 用Excel預測未來!189Please respect copyright.PENANAUZyfykgFMY
現代人,用Excel就能預測未來189Please respect copyright.PENANArgOFQRbSRi
掌握Excel的使用方法!189Please respect copyright.PENANA30qOaUKRlw
「數學家」、「AI」、「統計學家」的差別189Please respect copyright.PENANAjhA66ummoX
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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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