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68Please respect copyright.PENANALV4hiBYHiw
登場人物介紹68Please respect copyright.PENANAzfsJHUO9oA
68Please respect copyright.PENANAMBr0xKHPdz
第一天 數學的樂趣在哪裡?68Please respect copyright.PENANADAHUtR12gL
第一課 其實並不可怕的高中數學68Please respect copyright.PENANAjI5FulkMrC
好想學真正實用的數學!68Please respect copyright.PENANA2RAHVdfghh
高中數學比國中數學還簡單!?68Please respect copyright.PENANAmlCToZkjDy
68Please respect copyright.PENANAgErnts1wpC
第二課 超精簡的創新數學課!68Please respect copyright.PENANAoaT4RpYPRt
果斷刪去八成教科書內容!68Please respect copyright.PENANAOJ8HM67knf
世界首創!「西成流」數學分類法68Please respect copyright.PENANAHnbMQ9QILu
高中數學中最輕鬆的是「代數」68Please respect copyright.PENANA5BQpXKoAAd
高中數學的顛峰是「微分積分」68Please respect copyright.PENANA36fBYw4NxZ
超好用的工具「餘弦定理」68Please respect copyright.PENANAn2W3ZVRI3M
真正的幾何大魔王是「向量」68Please respect copyright.PENANAnSOU3QFwuA
Column文組無法理解數學的理由68Please respect copyright.PENANAbM4RJiKEGe
68Please respect copyright.PENANAzFYPjPv3yW
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!68Please respect copyright.PENANASs2Txo9A17
第一課 速速學會統計學基礎68Please respect copyright.PENANAck9omRqhlq
數據處理的3大必備條件68Please respect copyright.PENANAulFSPhKbWZ
為什麼增加個數很好用?68Please respect copyright.PENANAJ4WSQgCZEr
「排列組合」是指什麼?68Please respect copyright.PENANAu6wtpFEq3K
看離散程度的「標準差」68Please respect copyright.PENANAUYmq5SCdvL
68Please respect copyright.PENANANZWZbviYse
第二課 記住「數列相加」的方法68Please respect copyright.PENANASvQDw37gS7
天才高斯少年發現的「倒序相加」68Please respect copyright.PENANAiiC5ivuGDh
超好用!任何等差數列都能用68Please respect copyright.PENANANcvm1pk2Y4
嚴禁直接死背公式!68Please respect copyright.PENANAZWBjIEFATC
導出等差數列和的公式68Please respect copyright.PENANAAhXS68VZ47
豐臣秀吉被擺了一道!數學變黃金的故事68Please respect copyright.PENANANuNzIfHNeW
等比數列是「相乘後錯位相減」68Please respect copyright.PENANAgO7xqvdos0
導出等比數列和的公式68Please respect copyright.PENANAxDO20FtGHk
先知道處理數列和的符號!68Please respect copyright.PENANAJAWiy2PSKc
Column把數學記號當作是念魔咒68Please respect copyright.PENANARsUjn0x6hy
68Please respect copyright.PENANAJQRa2qzM9A
第三課 記住「排列組合法」68Please respect copyright.PENANAf3y0YmFkyc
從賽馬了解「排列」與「組合」68Please respect copyright.PENANAyZ12pwSYrC
Step①了解階乘的計算方法68Please respect copyright.PENANA9MVYzV2YkU
Step②了解排列的計算方法68Please respect copyright.PENANAgFRLnxlPiL
Step③了解組合的計算方法68Please respect copyright.PENANACXfPtMeRJf
了解「排列」與「組合」的式子68Please respect copyright.PENANAUyxQqvpjJW
「排列」和「組合」的符號是「P」和「C」68Please respect copyright.PENANALdzc4HahtQ
運用「排列」和「組合」排班表68Please respect copyright.PENANAp0LYkBnenL
68Please respect copyright.PENANAdOQ1SAkaN8
第四課 搞懂「離散值」和「標準差」68Please respect copyright.PENANAMappsZ5n9y
資訊分析的基礎是找到「數據的規則」68Please respect copyright.PENANAvmUAUt3NyQ
兩個步驟找出離散程度68Please respect copyright.PENANAm2CcWF1rVj
平均、分散、標準差的深~度關係68Please respect copyright.PENANA9hyczznTVD
平均、離散、標準差的記號68Please respect copyright.PENANAkEhFvHFJOP
試著用Excel計算標準差68Please respect copyright.PENANAh5CXfYjCEG
也把「偏差值」的計算公式記起來68Please respect copyright.PENANAcKw2GMNkVr
附註內容①深奧的平均世界68Please respect copyright.PENANAJrOfRZtvFg
附註內容②平均值、中位數、眾數68Please respect copyright.PENANAx8uo18rAYo
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第三天 超爽快!掌握高中文組數學的「分析」!68Please respect copyright.PENANAkqpnt5E0KG
第一課 豁然開朗!函數的世界68Please respect copyright.PENANA0Q4nTkt2qc
函數與方程式的差別?68Please respect copyright.PENANAqph7FATt3X
高中數學的4種函數68Please respect copyright.PENANAoMzoWFeEaN
Column少年西成的理科腦情書68Please respect copyright.PENANA1I3r6TuX3g
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第二課 來複習二次函數!68Please respect copyright.PENANARPr7FrIcAd
速速複習!二次方程式68Please respect copyright.PENANAoWjz4H9TIn
畫出二次函數的圖形!68Please respect copyright.PENANAIzHaIqtbef
Column 物理學家是名偵探68Please respect copyright.PENANAE7dI7S2WBk
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第三課 指數函數超好用!68Please respect copyright.PENANAv76kgFjnzG
記住指數函數的相關用語68Please respect copyright.PENANA5na3qzozWa
基本規則①乘冪相乘時,指數相加68Please respect copyright.PENANAhip4CvCH0f
基本規則②乘冪再乘冪時,指數相乘68Please respect copyright.PENANAkzpgvs0MWM
基本規則③乘冪相除時,指數相減68Please respect copyright.PENANAiU4KLtd2JL
指數是負數時會怎樣?68Please respect copyright.PENANAAHMzwV7TyS
指數是「0」的時候會怎樣?68Please respect copyright.PENANA6T2daIcCxo
根號可以轉換成指數運算68Please respect copyright.PENANAhwvH6MFIXg
統整指數運算的處理方式68Please respect copyright.PENANA5uXNYiRy55
將指數函數做成圖形看看!68Please respect copyright.PENANAjRROh4UquZ
順便來談談「對數函數」的內容68Please respect copyright.PENANALcnxZTHN5r
天文數字也可以處理的對數函數68Please respect copyright.PENANA3aR0DxUBTH
指數函數與音樂的深~度關係68Please respect copyright.PENANA2eJQsezlx0
用iPhone計算指數函數的方法68Please respect copyright.PENANAmlgqIPDafd
68Please respect copyright.PENANAZfv52JSIK9
第四天 秒懂高中數學的「幾何」精髓!68Please respect copyright.PENANAW3rCWvfWfr
第一課 不再霧煞煞的「三角比」68Please respect copyright.PENANAjcp3wGnIP9
以餘弦定理搞懂三角形68Please respect copyright.PENANALPMlo4ZlqC
畫三角形的「西成流」作法68Please respect copyright.PENANAKVXHwKnbDA
sin、cos、tan是指「邊長比」68Please respect copyright.PENANAsYyxI120qe
忘掉tan的存在吧!68Please respect copyright.PENANAoZBP2udO5F
直角三角形的定義中必要的θ68Please respect copyright.PENANA3ZgtcOIKJx
三角比經常出現的陷阱題68Please respect copyright.PENANAK7wpuqLAsf
68Please respect copyright.PENANAFq75sU58HB
第二課 俐落導出餘弦定理公式68Please respect copyright.PENANApFJaXGjO41
用三角比可以做的事68Please respect copyright.PENANAm1WR6zFcId
導出餘弦定理①事前準備68Please respect copyright.PENANA516wb5j8BE
導出餘弦定理②成立公式、解開68Please respect copyright.PENANA3VLEz5gWSx
導出餘弦定理③證明sin2θ+ cos2θ= 168Please respect copyright.PENANA3JDQ2NBIZ6
導出餘弦定理④完成68Please respect copyright.PENANACkRlzYbOja
餘弦定理與畢氏定理的關係68Please respect copyright.PENANA0DU3p0Efa3
68Please respect copyright.PENANAQbIG92bcAB
第三課 學習最後的分析工具「三角函數」!68Please respect copyright.PENANAtWqp8xWOCO
三角函數只是將θ與y的關係圖像化68Please respect copyright.PENANAVRRGYcnypl
68Please respect copyright.PENANAG5G04RzPAl
第五天 特別課程①:幾何的最終武器「向量」!68Please respect copyright.PENANAWf2Z0NLFNl
第一課 偉大的「向量」68Please respect copyright.PENANAzNSrvI960w
用代數解幾何問題!?68Please respect copyright.PENANApCMRnPmLEB
「短短數行」就能證明餘弦定理68Please respect copyright.PENANAU9wH4qxsSc
68Please respect copyright.PENANAqerw0al4e9
第二課 了解「向量」的超嶄新概念68Please respect copyright.PENANAZ3tkgvJ2od
向量是集結兩種資訊的「特殊容器」68Please respect copyright.PENANA09Q5BFm1iv
眾所熟知的「純量」68Please respect copyright.PENANAMmO8OGa2wL
數據時代的主角「張量」68Please respect copyright.PENANAmcSr1Agh8P
為什麼我們需要向量?68Please respect copyright.PENANAD9nAFHph7g
68Please respect copyright.PENANAyQ8ahqqmoi
第三課 「向量」是用箭頭當作記號唷68Please respect copyright.PENANAeNSNKiy7jc
向量的書寫規則68Please respect copyright.PENANASBYoCGwZID
張量的畫法68Please respect copyright.PENANAtxrCDy6lFn
試著把向量畫成圖68Please respect copyright.PENANAOm5X5uJDTd
68Please respect copyright.PENANAPQ6f77UXMH
第四課 「向量」的計算超簡單!68Please respect copyright.PENANAs6eDZJM6mF
來算算向量的加法吧68Please respect copyright.PENANAkDNZfTCutC
也來算算向量的減法68Please respect copyright.PENANAerDXsdURrL
試著分解向量吧68Please respect copyright.PENANA5EjvDD1W4u
試著挑戰向量的乘法68Please respect copyright.PENANAyYo32e6zdd
68Please respect copyright.PENANAizsVROpuDb
第五課 靠「向量」秒殺餘弦定理!68Please respect copyright.PENANAhGmTpBj110
用向量瞬間導出餘弦定理!68Please respect copyright.PENANAnkOI8eGcmN
不論幾次元都能處理的向量68Please respect copyright.PENANAPaXmnkvfzU
Column少年來了!(前篇)68Please respect copyright.PENANAAFm8DIPI5e
68Please respect copyright.PENANAPsqHteEmyR
第6天 特別課程②:用「微積分」預測未來!68Please respect copyright.PENANA1WMZ9JfwlU
第一課 人類的寶物!了解微分積分68Please respect copyright.PENANARKRpcqHbau
微分積分與函數的關係68Please respect copyright.PENANAQvQxN2C1fi
今天的主題是「三角形面積」68Please respect copyright.PENANAetro1X3qKU
牛頓VS萊布尼茲的仁義之戰68Please respect copyright.PENANAJoCsj30mhn
怎麼區分最合適?68Please respect copyright.PENANAaY4WGSrwRr
用微積分計算三角形的面積!68Please respect copyright.PENANAZGDdtABL7X
來認識微分積分的符號68Please respect copyright.PENANANHLg2b65CM
Column少年來了!(後篇)68Please respect copyright.PENANANAgaqJ9F2N
68Please respect copyright.PENANAhODm1egn1N
第二課 用Excel預測未來!68Please respect copyright.PENANAYZJaEpo2bJ
現代人,用Excel就能預測未來68Please respect copyright.PENANAIO5RvO2sE6
掌握Excel的使用方法!68Please respect copyright.PENANAy82aa3JQ8K
「數學家」、「AI」、「統計學家」的差別68Please respect copyright.PENANA4hl9hmdeGD
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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》
68Please respect copyright.PENANAMUUaYjVSCj
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。
68Please respect copyright.PENANAMmbE5jR4Ln
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。
68Please respect copyright.PENANAQKSplmfTHy
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/165070468Please respect copyright.PENANAc021tzvGdm