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66Please respect copyright.PENANAu47JXEfXSv
登場人物介紹66Please respect copyright.PENANAak4WjEGLa8
66Please respect copyright.PENANAvYBy2YOlq1
第一天 數學的樂趣在哪裡?66Please respect copyright.PENANAKBGeNgQMeC
第一課 其實並不可怕的高中數學66Please respect copyright.PENANA4PDY9IST45
好想學真正實用的數學!66Please respect copyright.PENANAH9FMtNahgo
高中數學比國中數學還簡單!?66Please respect copyright.PENANANVn3gahIfM
66Please respect copyright.PENANA76XlChQAhZ
第二課 超精簡的創新數學課!66Please respect copyright.PENANA6oixNebpFv
果斷刪去八成教科書內容!66Please respect copyright.PENANA2JsrVNTTET
世界首創!「西成流」數學分類法66Please respect copyright.PENANAcKcefLsUU1
高中數學中最輕鬆的是「代數」66Please respect copyright.PENANAfaLdVEC3VU
高中數學的顛峰是「微分積分」66Please respect copyright.PENANAOb3ArCQXMj
超好用的工具「餘弦定理」66Please respect copyright.PENANA5nxisDHV32
真正的幾何大魔王是「向量」66Please respect copyright.PENANA0FfNt9CEpl
Column文組無法理解數學的理由66Please respect copyright.PENANAvhUQ4W7nDZ
66Please respect copyright.PENANAaknauB4p5l
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!66Please respect copyright.PENANAem6JFmC2pp
第一課 速速學會統計學基礎66Please respect copyright.PENANAilzEBD1vdp
數據處理的3大必備條件66Please respect copyright.PENANAUUtNTS3kBn
為什麼增加個數很好用?66Please respect copyright.PENANAS8MkjUyhup
「排列組合」是指什麼?66Please respect copyright.PENANAEv04P0taXm
看離散程度的「標準差」66Please respect copyright.PENANAPV0DxxokHQ
66Please respect copyright.PENANArMB0mX8pZM
第二課 記住「數列相加」的方法66Please respect copyright.PENANANORB8ii8tX
天才高斯少年發現的「倒序相加」66Please respect copyright.PENANAF5zIbEnQo1
超好用!任何等差數列都能用66Please respect copyright.PENANAW4pJpxurbV
嚴禁直接死背公式!66Please respect copyright.PENANAB6Y26qIEcg
導出等差數列和的公式66Please respect copyright.PENANAvNJhfIPXWm
豐臣秀吉被擺了一道!數學變黃金的故事66Please respect copyright.PENANAVbbHqBgqkm
等比數列是「相乘後錯位相減」66Please respect copyright.PENANAE0OGsALvxX
導出等比數列和的公式66Please respect copyright.PENANAfyuTfuWZ3q
先知道處理數列和的符號!66Please respect copyright.PENANAdwkC6qv1UT
Column把數學記號當作是念魔咒66Please respect copyright.PENANAYUqKlC4fdh
66Please respect copyright.PENANA0K5rqUuhN1
第三課 記住「排列組合法」66Please respect copyright.PENANAm1anl5E61I
從賽馬了解「排列」與「組合」66Please respect copyright.PENANAE38WCBt472
Step①了解階乘的計算方法66Please respect copyright.PENANArI9aZO0n4f
Step②了解排列的計算方法66Please respect copyright.PENANAP4m33wy1lm
Step③了解組合的計算方法66Please respect copyright.PENANAn3VPWmJMcp
了解「排列」與「組合」的式子66Please respect copyright.PENANAM2grBPHf6z
「排列」和「組合」的符號是「P」和「C」66Please respect copyright.PENANAA8bR4tbRhK
運用「排列」和「組合」排班表66Please respect copyright.PENANAQ7gO0Agt8L
66Please respect copyright.PENANALQYcKoZacz
第四課 搞懂「離散值」和「標準差」66Please respect copyright.PENANAL9D9Kew6qI
資訊分析的基礎是找到「數據的規則」66Please respect copyright.PENANAqnO4xKhe22
兩個步驟找出離散程度66Please respect copyright.PENANASHzJEm3KL1
平均、分散、標準差的深~度關係66Please respect copyright.PENANAkhLDPIz3CN
平均、離散、標準差的記號66Please respect copyright.PENANAS0Hlla2qoK
試著用Excel計算標準差66Please respect copyright.PENANAhdrhCKGDJo
也把「偏差值」的計算公式記起來66Please respect copyright.PENANADM4ZcWItl7
附註內容①深奧的平均世界66Please respect copyright.PENANAsKoJBrmu9O
附註內容②平均值、中位數、眾數66Please respect copyright.PENANA6H6AhRi2uW
66Please respect copyright.PENANAUBUpo4SzdY
第三天 超爽快!掌握高中文組數學的「分析」!66Please respect copyright.PENANAiOqWEalxTd
第一課 豁然開朗!函數的世界66Please respect copyright.PENANA49ay63dIFu
函數與方程式的差別?66Please respect copyright.PENANA0JXmAbdVXl
高中數學的4種函數66Please respect copyright.PENANA9ny5LaR28p
Column少年西成的理科腦情書66Please respect copyright.PENANAuXDPi6Mg0p
66Please respect copyright.PENANAelNMGF7vfr
第二課 來複習二次函數!66Please respect copyright.PENANAveqp5ub53c
速速複習!二次方程式66Please respect copyright.PENANAHnIF3uolxQ
畫出二次函數的圖形!66Please respect copyright.PENANAZO5RN56tQv
Column 物理學家是名偵探66Please respect copyright.PENANAzbaFamsbF1
66Please respect copyright.PENANAQKduHZ4CrK
第三課 指數函數超好用!66Please respect copyright.PENANAdudY5Bk01K
記住指數函數的相關用語66Please respect copyright.PENANAwafij39T5M
基本規則①乘冪相乘時,指數相加66Please respect copyright.PENANAIajASaVnFX
基本規則②乘冪再乘冪時,指數相乘66Please respect copyright.PENANA3tyIRhuiwx
基本規則③乘冪相除時,指數相減66Please respect copyright.PENANA1cKI1tLxih
指數是負數時會怎樣?66Please respect copyright.PENANAYlk3EZfEEs
指數是「0」的時候會怎樣?66Please respect copyright.PENANAtykQZoG0aE
根號可以轉換成指數運算66Please respect copyright.PENANAIAkyN6LIjB
統整指數運算的處理方式66Please respect copyright.PENANAY5uWzzVCed
將指數函數做成圖形看看!66Please respect copyright.PENANAqovHaH27P7
順便來談談「對數函數」的內容66Please respect copyright.PENANAxUj6jCMs70
天文數字也可以處理的對數函數66Please respect copyright.PENANABIx6wYYkfE
指數函數與音樂的深~度關係66Please respect copyright.PENANAh7lM7OZJCb
用iPhone計算指數函數的方法66Please respect copyright.PENANAkXzZ248Wro
66Please respect copyright.PENANADCcOOn2slc
第四天 秒懂高中數學的「幾何」精髓!66Please respect copyright.PENANA6uRodG2dDg
第一課 不再霧煞煞的「三角比」66Please respect copyright.PENANA5xxRbme0gH
以餘弦定理搞懂三角形66Please respect copyright.PENANANof9Uk0g2N
畫三角形的「西成流」作法66Please respect copyright.PENANAhHssR6Jfyb
sin、cos、tan是指「邊長比」66Please respect copyright.PENANAH9m232Iu1V
忘掉tan的存在吧!66Please respect copyright.PENANALkgTjEqq9y
直角三角形的定義中必要的θ66Please respect copyright.PENANA7TZnXkdeNy
三角比經常出現的陷阱題66Please respect copyright.PENANAOUdeebz6uL
66Please respect copyright.PENANAJKcqfciqY4
第二課 俐落導出餘弦定理公式66Please respect copyright.PENANAZIolAIHVry
用三角比可以做的事66Please respect copyright.PENANArU3wwAKPg1
導出餘弦定理①事前準備66Please respect copyright.PENANArLpq95U4cp
導出餘弦定理②成立公式、解開66Please respect copyright.PENANApujeyftdwi
導出餘弦定理③證明sin2θ+ cos2θ= 166Please respect copyright.PENANAzecUyddm7e
導出餘弦定理④完成66Please respect copyright.PENANA8dMy65jCTm
餘弦定理與畢氏定理的關係66Please respect copyright.PENANAROgw0eCI8R
66Please respect copyright.PENANA6WNO8t1IrA
第三課 學習最後的分析工具「三角函數」!66Please respect copyright.PENANAqFFoIlkdf0
三角函數只是將θ與y的關係圖像化66Please respect copyright.PENANA1Qy46hsLqj
66Please respect copyright.PENANADHNj4RuFhE
第五天 特別課程①:幾何的最終武器「向量」!66Please respect copyright.PENANAOngeYijIz4
第一課 偉大的「向量」66Please respect copyright.PENANAiBqXruZKsR
用代數解幾何問題!?66Please respect copyright.PENANAJeufMuVWbw
「短短數行」就能證明餘弦定理66Please respect copyright.PENANAfOcPrjL955
66Please respect copyright.PENANAPtzsSlyFcK
第二課 了解「向量」的超嶄新概念66Please respect copyright.PENANA2PhmoZzvki
向量是集結兩種資訊的「特殊容器」66Please respect copyright.PENANAHJiqI0tb73
眾所熟知的「純量」66Please respect copyright.PENANArqGae7jtvG
數據時代的主角「張量」66Please respect copyright.PENANAh9LbzXyFt5
為什麼我們需要向量?66Please respect copyright.PENANA7mXJr9pYTS
66Please respect copyright.PENANAI8YvrztrY4
第三課 「向量」是用箭頭當作記號唷66Please respect copyright.PENANAluOrSLhwRk
向量的書寫規則66Please respect copyright.PENANA7uU074tgFm
張量的畫法66Please respect copyright.PENANAvkfeLMbJym
試著把向量畫成圖66Please respect copyright.PENANAJe2NF6uWfA
66Please respect copyright.PENANACFUlfk8AtG
第四課 「向量」的計算超簡單!66Please respect copyright.PENANAXT5CJAgAkf
來算算向量的加法吧66Please respect copyright.PENANAPjKvtafX9C
也來算算向量的減法66Please respect copyright.PENANATs9asrddDw
試著分解向量吧66Please respect copyright.PENANAo90q2ZppYY
試著挑戰向量的乘法66Please respect copyright.PENANAyFpTzH4Uum
66Please respect copyright.PENANAWgPtc9vfrY
第五課 靠「向量」秒殺餘弦定理!66Please respect copyright.PENANAWgnj8XEc8s
用向量瞬間導出餘弦定理!66Please respect copyright.PENANAiyyKtHd2nE
不論幾次元都能處理的向量66Please respect copyright.PENANAuf8nJz5xlB
Column少年來了!(前篇)66Please respect copyright.PENANA1cq2xWQhvI
66Please respect copyright.PENANApOYxL4Ok7R
第6天 特別課程②:用「微積分」預測未來!66Please respect copyright.PENANA9gCzEfxVhY
第一課 人類的寶物!了解微分積分66Please respect copyright.PENANA8ITh3wctg8
微分積分與函數的關係66Please respect copyright.PENANAkovRNvVjwc
今天的主題是「三角形面積」66Please respect copyright.PENANAQxhNBl8ZJY
牛頓VS萊布尼茲的仁義之戰66Please respect copyright.PENANAQCQwHQ8cO4
怎麼區分最合適?66Please respect copyright.PENANAXNP0cP26RO
用微積分計算三角形的面積!66Please respect copyright.PENANAYoX40231zC
來認識微分積分的符號66Please respect copyright.PENANAT8327RS0qp
Column少年來了!(後篇)66Please respect copyright.PENANAFp2of1jLOK
66Please respect copyright.PENANA7CRoBoO2NF
第二課 用Excel預測未來!66Please respect copyright.PENANAB76AJ0W4a0
現代人,用Excel就能預測未來66Please respect copyright.PENANAuJL7ApGXHs
掌握Excel的使用方法!66Please respect copyright.PENANAMRR39BtrVQ
「數學家」、「AI」、「統計學家」的差別66Please respect copyright.PENANAYvP4CN6nok
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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》
66Please respect copyright.PENANA3bVQVqBzVK
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。
66Please respect copyright.PENANArk3OrTDqZg
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。
66Please respect copyright.PENANAlpbUAdYc8e
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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66Please respect copyright.PENANADurC5cJa9E
【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/165070466Please respect copyright.PENANAgAg7U5Ocrm