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222Please respect copyright.PENANAFymlWE1CmK
登場人物介紹222Please respect copyright.PENANACGlEj2ETtu
222Please respect copyright.PENANA6FVMBQwAyc
第一天 數學的樂趣在哪裡?222Please respect copyright.PENANA0c53hEOgHr
第一課 其實並不可怕的高中數學222Please respect copyright.PENANAhWXFPqVkMh
好想學真正實用的數學!222Please respect copyright.PENANAwfe4nuIeu5
高中數學比國中數學還簡單!?222Please respect copyright.PENANAN4lx7hjEmD
222Please respect copyright.PENANAGg5kxeGhEb
第二課 超精簡的創新數學課!222Please respect copyright.PENANAbmVCXxABNb
果斷刪去八成教科書內容!222Please respect copyright.PENANALhhwvWkTp0
世界首創!「西成流」數學分類法222Please respect copyright.PENANAMLf85659WN
高中數學中最輕鬆的是「代數」222Please respect copyright.PENANAgEFW1SFVT7
高中數學的顛峰是「微分積分」222Please respect copyright.PENANAJ4hYTQwBZK
超好用的工具「餘弦定理」222Please respect copyright.PENANAAIxFLL08Ve
真正的幾何大魔王是「向量」222Please respect copyright.PENANAilCaP7jQGb
Column文組無法理解數學的理由222Please respect copyright.PENANA2fWDgQFd85
222Please respect copyright.PENANAwYMaJCt4XA
第二天 輕鬆致勝!搞懂「代數」就能精通高中文組數學!!222Please respect copyright.PENANA0T0X7994Tp
第一課 速速學會統計學基礎222Please respect copyright.PENANAxDctKT0U9a
數據處理的3大必備條件222Please respect copyright.PENANAwJ3scLQT3K
為什麼增加個數很好用?222Please respect copyright.PENANAZU2vdFLQ1j
「排列組合」是指什麼?222Please respect copyright.PENANAVXU345E9nN
看離散程度的「標準差」222Please respect copyright.PENANABfh9MoIlja
222Please respect copyright.PENANA4P2Ax7CauI
第二課 記住「數列相加」的方法222Please respect copyright.PENANACvsPJvt2yH
天才高斯少年發現的「倒序相加」222Please respect copyright.PENANAch8ZXXGGVP
超好用!任何等差數列都能用222Please respect copyright.PENANAywJbe0V7M0
嚴禁直接死背公式!222Please respect copyright.PENANACK9GjCMTWk
導出等差數列和的公式222Please respect copyright.PENANAWoPcoFbC2d
豐臣秀吉被擺了一道!數學變黃金的故事222Please respect copyright.PENANAhsSo3xzmEZ
等比數列是「相乘後錯位相減」222Please respect copyright.PENANAIUSbnNLB23
導出等比數列和的公式222Please respect copyright.PENANANOaMD6Yh7I
先知道處理數列和的符號!222Please respect copyright.PENANAZMLAv3CsnA
Column把數學記號當作是念魔咒222Please respect copyright.PENANAbh5JDwW0g2
222Please respect copyright.PENANAQwKZPcR3Uw
第三課 記住「排列組合法」222Please respect copyright.PENANAPWLEd2oNhJ
從賽馬了解「排列」與「組合」222Please respect copyright.PENANA2cUKc8E3BG
Step①了解階乘的計算方法222Please respect copyright.PENANAdouOLoJ1j3
Step②了解排列的計算方法222Please respect copyright.PENANA6NSQ8gyJ3g
Step③了解組合的計算方法222Please respect copyright.PENANAL5wkb4eSCO
了解「排列」與「組合」的式子222Please respect copyright.PENANACYawgEICeG
「排列」和「組合」的符號是「P」和「C」222Please respect copyright.PENANAD4BCGAXtfO
運用「排列」和「組合」排班表222Please respect copyright.PENANAE2sfCgPqEr
222Please respect copyright.PENANAtaJj3Q3EDE
第四課 搞懂「離散值」和「標準差」222Please respect copyright.PENANAsgdw22epMu
資訊分析的基礎是找到「數據的規則」222Please respect copyright.PENANAa9JX3VaUzj
兩個步驟找出離散程度222Please respect copyright.PENANAEN6iw4BSDk
平均、分散、標準差的深~度關係222Please respect copyright.PENANAMtkEypEf96
平均、離散、標準差的記號222Please respect copyright.PENANAQn2tEnll8D
試著用Excel計算標準差222Please respect copyright.PENANAThuwi6EvEN
也把「偏差值」的計算公式記起來222Please respect copyright.PENANAiNoxg7tlhG
附註內容①深奧的平均世界222Please respect copyright.PENANA0urnL9Ilb8
附註內容②平均值、中位數、眾數222Please respect copyright.PENANA1etEey9Yjf
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第三天 超爽快!掌握高中文組數學的「分析」!222Please respect copyright.PENANAgDILgyCb2u
第一課 豁然開朗!函數的世界222Please respect copyright.PENANAuOVNFvrWxJ
函數與方程式的差別?222Please respect copyright.PENANAx9B769PkEj
高中數學的4種函數222Please respect copyright.PENANACUjMVe2po2
Column少年西成的理科腦情書222Please respect copyright.PENANAFqViNUJ5tv
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第二課 來複習二次函數!222Please respect copyright.PENANAPXuJ1NuMFz
速速複習!二次方程式222Please respect copyright.PENANAjr3ESyfHf1
畫出二次函數的圖形!222Please respect copyright.PENANAbrrjA3rDhO
Column 物理學家是名偵探222Please respect copyright.PENANA0tadB3GnOS
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第三課 指數函數超好用!222Please respect copyright.PENANAf2tkqpQ9T0
記住指數函數的相關用語222Please respect copyright.PENANALyK0zsu9LD
基本規則①乘冪相乘時,指數相加222Please respect copyright.PENANAk6MHnRc2EY
基本規則②乘冪再乘冪時,指數相乘222Please respect copyright.PENANA6iy9p8XWKV
基本規則③乘冪相除時,指數相減222Please respect copyright.PENANAG9Kpxkqn1D
指數是負數時會怎樣?222Please respect copyright.PENANALPifZhM9LO
指數是「0」的時候會怎樣?222Please respect copyright.PENANAL9NJvx6oij
根號可以轉換成指數運算222Please respect copyright.PENANAHvx1utE8I0
統整指數運算的處理方式222Please respect copyright.PENANArp3jS8G7HO
將指數函數做成圖形看看!222Please respect copyright.PENANAQiljB64h8N
順便來談談「對數函數」的內容222Please respect copyright.PENANAHoVFp7Y9Yr
天文數字也可以處理的對數函數222Please respect copyright.PENANAHbDMgtmuYg
指數函數與音樂的深~度關係222Please respect copyright.PENANAVWey1s1MWF
用iPhone計算指數函數的方法222Please respect copyright.PENANAX0v8LUT4yV
222Please respect copyright.PENANAqmZe55RIwR
第四天 秒懂高中數學的「幾何」精髓!222Please respect copyright.PENANAEblcja6o7X
第一課 不再霧煞煞的「三角比」222Please respect copyright.PENANASk7LVdSMMB
以餘弦定理搞懂三角形222Please respect copyright.PENANA365Nyw9zAL
畫三角形的「西成流」作法222Please respect copyright.PENANABT2Ii6MqXN
sin、cos、tan是指「邊長比」222Please respect copyright.PENANAFXPAhcZ6BM
忘掉tan的存在吧!222Please respect copyright.PENANATLkxZVvHw1
直角三角形的定義中必要的θ222Please respect copyright.PENANAoT9KkHSagI
三角比經常出現的陷阱題222Please respect copyright.PENANAQBqcIgxqyp
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第二課 俐落導出餘弦定理公式222Please respect copyright.PENANAE9w4Ns8DQ6
用三角比可以做的事222Please respect copyright.PENANATqtAJC57U5
導出餘弦定理①事前準備222Please respect copyright.PENANAEJs38015KU
導出餘弦定理②成立公式、解開222Please respect copyright.PENANAvmdfr4Q1hv
導出餘弦定理③證明sin2θ+ cos2θ= 1222Please respect copyright.PENANAA88GnXCdnn
導出餘弦定理④完成222Please respect copyright.PENANAlUVkupXorY
餘弦定理與畢氏定理的關係222Please respect copyright.PENANA1FsqgOSnx6
222Please respect copyright.PENANAQ13RXyXKOG
第三課 學習最後的分析工具「三角函數」!222Please respect copyright.PENANAqVGoNo7tzG
三角函數只是將θ與y的關係圖像化222Please respect copyright.PENANA5f1b65plQz
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第五天 特別課程①:幾何的最終武器「向量」!222Please respect copyright.PENANAcztrfGUJ8U
第一課 偉大的「向量」222Please respect copyright.PENANAkLMz8PSFsZ
用代數解幾何問題!?222Please respect copyright.PENANALCKPbXrPb8
「短短數行」就能證明餘弦定理222Please respect copyright.PENANA2wG8Sgjmbt
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第二課 了解「向量」的超嶄新概念222Please respect copyright.PENANAUIcJV40GGD
向量是集結兩種資訊的「特殊容器」222Please respect copyright.PENANANbrKB9p8Ov
眾所熟知的「純量」222Please respect copyright.PENANAocZeDAzP0Y
數據時代的主角「張量」222Please respect copyright.PENANAYfEqdOvIXk
為什麼我們需要向量?222Please respect copyright.PENANAXjMdmNxxcm
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第三課 「向量」是用箭頭當作記號唷222Please respect copyright.PENANAzzIIz227p2
向量的書寫規則222Please respect copyright.PENANAm6koOMWX0A
張量的畫法222Please respect copyright.PENANAGv1TPux697
試著把向量畫成圖222Please respect copyright.PENANAiTyTwwERFp
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第四課 「向量」的計算超簡單!222Please respect copyright.PENANAIFHlqWJai3
來算算向量的加法吧222Please respect copyright.PENANA1Xf2Thk9U5
也來算算向量的減法222Please respect copyright.PENANAsCyExW2Xu3
試著分解向量吧222Please respect copyright.PENANAQHBnp8N0Ql
試著挑戰向量的乘法222Please respect copyright.PENANA99j0iaMO20
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第五課 靠「向量」秒殺餘弦定理!222Please respect copyright.PENANAEv2eZBW74P
用向量瞬間導出餘弦定理!222Please respect copyright.PENANA1G6FwMHh3D
不論幾次元都能處理的向量222Please respect copyright.PENANASh1MajJtax
Column少年來了!(前篇)222Please respect copyright.PENANASyfj0NIebY
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第6天 特別課程②:用「微積分」預測未來!222Please respect copyright.PENANAkEriQZs4df
第一課 人類的寶物!了解微分積分222Please respect copyright.PENANAM2SYkymMGu
微分積分與函數的關係222Please respect copyright.PENANA61yJdC253j
今天的主題是「三角形面積」222Please respect copyright.PENANAEWBDxR13Y5
牛頓VS萊布尼茲的仁義之戰222Please respect copyright.PENANAnCbMUWYcYo
怎麼區分最合適?222Please respect copyright.PENANA4nS9s7tOEb
用微積分計算三角形的面積!222Please respect copyright.PENANAabx92qAEPq
來認識微分積分的符號222Please respect copyright.PENANAyeaySPzCni
Column少年來了!(後篇)222Please respect copyright.PENANAscSwQMu3wv
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第二課 用Excel預測未來!222Please respect copyright.PENANAxKwqTnVuan
現代人,用Excel就能預測未來222Please respect copyright.PENANAbF9H2uF2v2
掌握Excel的使用方法!222Please respect copyright.PENANAsDTYnygNbq
「數學家」、「AI」、「統計學家」的差別222Please respect copyright.PENANAH4YdaW3oMD
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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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【創挑出處】
https://www.penana.com/article/1650704222Please respect copyright.PENANAXuUPYvNfD2