2016 Future University Hakodate 2016 System Information Science Practice Group Report Project Name Designing Learning Environment for Mathematics at F

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1 2016 Future University Hakodate 2016 System Information Science Practice Group Report Project Name Group Name Mathematical Group /Project No. 2-B /Project Leader Kaito Kawakatsu /Group Leader Takaki Hai /Group Member Toshiki Isobe Shinnosuke Abe Hatsumi Taiyoshi Takumi Mada Itsuki Jin Takaki Hai Advisor Hiroyuki Takamura Yuichi Katori Yoshiaki Mima Atsuko Tominaga Mio Tsubakimoto Date of Submission Janualy 18, 2017

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3 Abstract There are various entrance examination forms at FUN and many students enter the FUN without taking high school learning subject mathematics III which is basis of required subject analysis for freshmen. Although FUN provides remedial education for such students a few years ago, we prove many students have difficulty learning from class evaluation and result of regular test. Even if you get a credit, you will suffer further by learning the high level subject.therefore the project which start up with the goal of self-study support of analysis is last year s project Improvement of Environment for Learning Mathematics at FUN which is the predecessor of this project. This achievement was realized as web teaching materials Math-ma-study but there were insufficient parts depending on level of user.this project s goal is covering it. We develop new teaching materials from new vision what was gotten our learning experience. As a result, we got achievement. This report is activity record of mathematics group that created new contents especially in our activity. Keyword analysis, freshmen, mathematics terminology, learning support : - ii -

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6 1 1.1 AO I II A B 3 1 IA IIB III I II A B III III IIB III 1 I III I 60 : [1] Group Report of 2016 SISP Group Number 2-B

7 2 1 : : Web Web Group Report of 2016 SISP Group Number 2-B

8 : Group Report of 2016 SISP Group Number 2-B

9 : I arctan 2 + arctan 3 Napier e e = lim(1 + t) 1 t t 0 e x 1 lim x 0 x sin(x a) lim x 0±0 x 2 a 2 Group Report of 2016 SISP Group Number 2-B

10 lim x π 1 + cos x sin 2 x lim x 0+0 sin 1 x (2.1)???? : x 0 x 0? 0? lim x 0 f(x) Group Report of 2016 SISP Group Number 2-B

11 : ( : Group Report of 2016 SISP Group Number 2-B

12 lim x 0+0 sin 1 x (1) (3) (1) (2) (1) (3) (2) (1) lim sin x x 0 1 (2) lim x 0+0 x (3) lim x 0+0 sin 1 x lim sin x x ??? lim f(x)? x a,a>0 sin 1 x? Group Report of 2016 SISP Group Number 2-B

13 行った 解説を行うと 極限を調べよの意味が分からない 等の我々と類似した疑問点が 出てきた 解説後は再び先ほど解いた問題を解いてもらった 最後にチェックリストを再び やってもらった 1 年生の解析学勉強会の様子を観察し 記録した 勉強会の様子を図 2.1 に示す 図 2.1 解析学勉強会の様子 文責: 馬田拓実 結果 解析学勉強会から 1 年生は 発散する 収束する の意味を分かっていなかった 振動する は発散に含まれていることを知らなかった 教科書を読みながら解答を行なっていた プロジェク トメンバーが 1 年生に対し 極限を調べよの調べよとは何か といった質問を問いかけると曖昧 な答えや教科書とは別の意味を答えていた これらの結果から 1 年生は教科書を使用しているが 極限の問題に正確に答えることはできな かった 1 年生も数学用語の意味を十分に理解していないことが分かった 文責: 阿部晋之介 Group Report of 2016 SISP -8- Group Number 2-B

14 : : n=65 SD= n=63 SD=1.84 Group Report of 2016 SISP Group Number 2-B

15 : Web 1 : Group Report of 2016 SISP Group Number 2-B

16 図 2.2 中間発表会の様子 Group Report of 2016 SISP Group Number 2-B

17 3 II 3.1 Web II 3 lim arctan x) x 2 (3.1) lim (tan x) 2 log(sin x) (3.2) x π 2 lim x 0+0 xx (3.3) Group Report of 2016 SISP Group Number 2-B

18 : 3.2 II II II II 2 II Group Report of 2016 SISP Group Number 2-B

19 :10 20:00, :10 20:00 II : II? 45.5%? 69.7%? 78.8% Group Report of 2016 SISP Group Number 2-B

20 : 3.2.3? 45.5% 48.5%?? : 3.3 II 2 1 II II 1 II 0 0 II Group Report of 2016 SISP Group Number 2-B

21 II lim f(x) = f( lim x) = f(a) x a x a : : n=84 SD= n=84 SD=1.15 Group Report of 2016 SISP Group Number 2-B

22 ? : ? : 3.5 Web 9 Web II II 1 1 Group Report of 2016 SISP Group Number 2-B

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24 II II II 1 II 12 : Group Report of 2016 SISP Group Number 2-B

25 II 1 II 12 : Illustrator II 11 II 12 Group Report of 2016 SISP Group Number 2-B

26 : II II II 1 2 II : Group Report of 2016 SISP Group Number 2-B

27 WG TEX II : II 12 Group Report of 2016 SISP Group Number 2-B

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30 II : Group Report of 2016 SISP Group Number 2-B

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