2013
Future University Hakodate 2013 System Information Science Practice
Group Report
Project Name
Supports for regional education in mathematical science
B
Group Name
Group B
/Project No.
10-B
/Project Leader
1011091
Masahiro Kurisu
/Group Leader
1011231
Ayane Yanagisawa
/Group Member
1011231
Ayane Yanagisawa
1011015
Hasumi Kon
1011043
Masaya Abe
1011112
Shunichi Kurashima
1011172
Koki Enomoto
1011206
Yuuki Higuchi
1011255
Sohei Tuchiya
Advisor
Hiroyuki Takamura Yoshio Uwano Kenichiro Tanaka
2014
1
15
Date of Submission
January 15, 2014
2008
1
e-learning
1
I
,
, e-learning
:
-i-
Abstract
In 2008, The Ministry of Education, Culture, Sports, Science and Technology announced
the new guidelines of mathematics. It has features of the spiral method . The spiral
method is learning method that learners practice a math subject repeatedly for evry
years. As they learn new contents in school, their knowledges are made to rich. But,
we have no the example to do Cooperative-education for high schools and universities.
Therefore, we examine that learners understand the content of matters very well and
compose new e-learning-systems in Future University Hakodate.
Keyword
the spiral method, Cooperative-education, e-learning-systems
:
- ii -
1
1
1.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
1.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3
1.3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
4
2
6
2.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
2.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
2.2.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
2.2.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
2.3.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
2.3.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
2.3
3
9
3.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
3.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10
4
12
4.1
. . . . . . . . . . . . . . .
12
4.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13
4.2.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13
4.2.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
4.2.3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
4.2.4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
29
4.2.5
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
34
4.2.6
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37
4.2.7
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
42
. . . . . . . . . . . . . . . . . . . . . . . . . . .
48
4.3.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
48
4.3.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
49
4.3.3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
51
4.3.4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
52
4.3.5
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
53
4.3.6
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
54
4.3.7
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
55
4.3
5
5.1
57
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
- iii -
57
5.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
58
5.3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
59
5.3.1
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
59
5.3.2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
60
5.3.3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
62
5.3.4
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
63
5.3.5
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
65
5.3.6
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
66
5.3.7
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
67
6
69
70
- iv -
Supports for regional education in mathematical science
1
[1]
[2]
1.1
PISA OECD
6
[3]
2006
2012
10
2009
9
7
Group Report of 2013 SISP
-1-
Group Number 10-B
Supports for regional education in mathematical science
1.2 PISA(2012)
5
PISA2012
3
2003
OECD
2012
11
27
26
6
3
,
[4]
,
,
,
[5]
,
Group Report of 2013 SISP
-2-
Group Number 10-B
Supports for regional education in mathematical science
:
1.1
n=2
3
1
n=2
2
3
I
n=3
1
A
2
B
3
1
.
,
.
3
2
1
2
10
1
1
:
1.2
PISA
,
Group Report of 2013 SISP
-3-
Group Number 10-B
Supports for regional education in mathematical science
PISA
:
1.3
I
A
II
B
C
III
,
III
I
III
I
17
PC
e-learning
e-learning
[6]
Group Report of 2013 SISP
-4-
Group Number 10-B
Supports for regional education in mathematical science
:
Group Report of 2013 SISP
-5-
Group Number 10-B
Supports for regional education in mathematical science
2
1.3
2.1
[2]
OECD
PISA2012 [3]
2003
OECD
2003
OECD
III
I
:
2.2
2.1
2
Group Report of 2013 SISP
-6-
Group Number 10-B
Supports for regional education in mathematical science
2.2.1
1.
2.
3.
4.
5.
:
2.2.2
1.
2.2.1
2.
3.
:
Group Report of 2013 SISP
-7-
Group Number 10-B
Supports for regional education in mathematical science
2.3
2.2
2
2.3.1
:
2.3.2
web
Processing
Processing
web
:
Group Report of 2013 SISP
-8-
Group Number 10-B
Supports for regional education in mathematical science
3
2
3.1
•
1
II
III
A
•
B
C
2
3
I
I
KJ
I
I
•
III
I
•
2
Group Report of 2013 SISP
-9-
Group Number 10-B
Supports for regional education in mathematical science
•
I
•
:
3.2
•
e-learning
1
1
PC
e-laerning
e-learning
•
Group Report of 2013 SISP
- 10 -
Group Number 10-B
Supports for regional education in mathematical science
e-learning
JavaScript
Processing
HTML
•
3.1
:
Group Report of 2013 SISP
- 11 -
Group Number 10-B
Supports for regional education in mathematical science
4
e-learning
4.1
5
17
6
7
10
11
12
5
17
6
7
10
11
12
5
6
7
10
e-learning
11
12
5
6
17
7
10
11
web
12
Group Report of 2013 SISP
- 12 -
Group Number 10-B
Supports for regional education in mathematical science
5
17
6
7
10
11
Processing
12
5
6
7
10
Processing
11
Processing
web
12
5
6
17
7
10
11
12
:
4.2
4.2.1
5
KJ
KJ
Group Report of 2013 SISP
- 13 -
Group Number 10-B
Supports for regional education in mathematical science
KJ
I
I
6
17
x
7
y
I
Group Report of 2013 SISP
1
- 14 -
Group Number 10-B
Supports for regional education in mathematical science
15
2
30
1
4
[7]
e-lreaning
Adobe
illustrator
B
A
10
e-learning
[6]
Group Report of 2013 SISP
- 15 -
Group Number 10-B
Supports for regional education in mathematical science
[8]
3
11
2
2
1
2
I
web
72dpi
Group Report of 2013 SISP
- 16 -
Group Number 10-B
Supports for regional education in mathematical science
3
4
4.1
Group Report of 2013 SISP
- 17 -
Group Number 10-B
Supports for regional education in mathematical science
4.2
Processing
12
1
e-learning
web
web
Group Report of 2013 SISP
Twitter
BootStrap
- 18 -
Group Number 10-B
Supports for regional education in mathematical science
HTML+CSS/JavaScript
PC
Processing
A
B
A
B
4.3
:
Group Report of 2013 SISP
- 19 -
Group Number 10-B
Supports for regional education in mathematical science
4.2.2
5
KJ
KJ
KJ
17
3
KJ
6
3
III
III
y
x
y = g(x)
2
Group Report of 2013 SISP
- 20 -
Group Number 10-B
Supports for regional education in mathematical science
7
4
15
III
6
0
40%
30
PC
e-learning
A
A
A
B
A
4.4
10
e-learning
Group Report of 2013 SISP
- 21 -
Group Number 10-B
Supports for regional education in mathematical science
e-learning
e-learning
e-learning
III
11
III
Group Report of 2013 SISP
- 22 -
Group Number 10-B
Supports for regional education in mathematical science
y = sin x
BOX
Processing
3
12
AB
4.5
Group Report of 2013 SISP
- 23 -
Group Number 10-B
Supports for regional education in mathematical science
:
4.2.3
5
1
I
II
III
A
2
B
3
C
KJ
KJ
2
2
I
I
Group Report of 2013 SISP
- 24 -
Group Number 10-B
Supports for regional education in mathematical science
4.6
6
5
5
3
6
Group Report of 2013 SISP
- 25 -
Group Number 10-B
Supports for regional education in mathematical science
4.7
7
I
1
2
30
1
4
e-learning
1
1
PC
e-learning
A
TEX
Group Report of 2013 SISP
- 26 -
Group Number 10-B
Supports for regional education in mathematical science
4.8
10
e-learning
e-learning
1
11
1
2
III
Group Report of 2013 SISP
I
- 27 -
Group Number 10-B
Supports for regional education in mathematical science
3
12
web
TEX
4.9
Group Report of 2013 SISP
- 28 -
Group Number 10-B
Supports for regional education in mathematical science
:
4.2.4
5
B
1
I
II
III
A
2
B
3
C
KJ
3
6
3
3
1
17
I
I
17
6
7
I
(EFGH
)
Group Report of 2013 SISP
1
- 29 -
Group Number 10-B
Supports for regional education in mathematical science
I
4
30
B
Illustrater
A
TEX
4.10
Group Report of 2013 SISP
- 30 -
Group Number 10-B
Supports for regional education in mathematical science
4.11
10
e-learning
2
2
1
Group Report of 2013 SISP
- 31 -
Group Number 10-B
Supports for regional education in mathematical science
4.12
11
10
1
2
1
3
3
10
web
web
HTML
Twitter Bootstrap
web
HTML
Twitter Bootstrap
Twitter Bootstrap
web
Group Report of 2013 SISP
- 32 -
Group Number 10-B
Supports for regional education in mathematical science
4.13 web
12
1
TEX
:
Group Report of 2013 SISP
- 33 -
Group Number 10-B
Supports for regional education in mathematical science
4.2.5
5
KJ
KJ
,
,
,
1
3
I
II
III
A
B
2
C
.
6
5
0.999 · · · = 1
,
Group Report of 2013 SISP
,
- 34 -
Group Number 10-B
Supports for regional education in mathematical science
7
e-learning
4
15
I
(EFGH
)
4.14
10
2
web
Group Report of 2013 SISP
- 35 -
Group Number 10-B
Supports for regional education in mathematical science
11
3
Processing
,
Processing
Processing
Group Report of 2013 SISP
- 36 -
Group Number 10-B
Supports for regional education in mathematical science
4.15
12
A
:
4.2.6
5
I
II
III
KJ
I
III
II
I
III
Group Report of 2013 SISP
- 37 -
Group Number 10-B
Supports for regional education in mathematical science
I
III
I
III
III
I
4.16
6
5
5
3
III
Group Report of 2013 SISP
I
- 38 -
Group Number 10-B
Supports for regional education in mathematical science
ϵ-δ
[9]
ϵ-δ
7
e-learning
2
e-learning
[10]
[7]
e-learning
TEX
1
EFGH
A
TEX
e-learning
10
e-learning
Processing
e-learning
Group Report of 2013 SISP
- 39 -
Group Number 10-B
Supports for regional education in mathematical science
[6]
PC
Processing
Processing
Processing
Processing
11
Processing
y = 2x + 1
y = sin x
12
web
web
web
Twitter bootstrap
Twitter bootstrap
web
web
HTML
Bootstrap 3.0
HTML
HTML
[11]
web
Processing
web
web
Group Report of 2013 SISP
- 40 -
Group Number 10-B
Supports for regional education in mathematical science
web
Javascript
js
Processing
Processing
Processing js
HTML
Processing js
web
4.17 Processing
4.18 Processing
12
Group Report of 2013 SISP
- 41 -
Group Number 10-B
Supports for regional education in mathematical science
web
TEX
TEX
4.19
:
4.2.7
5
KJ
KJ
1
3
I
II
III
A
2
B
C
KJ
Group Report of 2013 SISP
- 42 -
Group Number 10-B
Supports for regional education in mathematical science
I
I
4.20
6
5
3
3
Group Report of 2013 SISP
- 43 -
Group Number 10-B
Supports for regional education in mathematical science
7
6
I(EFGH
)
e-learning
Adobe
Illustrater
AB
AB
Group Report of 2013 SISP
- 44 -
Group Number 10-B
Supports for regional education in mathematical science
4.21
10
e-learning
3
2
e-learning
Group Report of 2013 SISP
- 45 -
Group Number 10-B
Supports for regional education in mathematical science
11
3
3
1
Group Report of 2013 SISP
- 46 -
Group Number 10-B
Supports for regional education in mathematical science
4.22
12
AB
3
TEX
Group Report of 2013 SISP
- 47 -
Group Number 10-B
Supports for regional education in mathematical science
4.23
:
4.3
4.3.1
KJ
1
1
B
Group Report of 2013 SISP
- 48 -
A
Group Number 10-B
Supports for regional education in mathematical science
1
:
4.3.2
KJ
I
II
III
A
B
C
3
Group Report of 2013 SISP
- 49 -
Group Number 10-B
Supports for regional education in mathematical science
1
4
80
A
B
4.24
17
e-learning
Group Report of 2013 SISP
- 50 -
Group Number 10-B
Supports for regional education in mathematical science
y = sin x
BOX
Processing
y = sin x
:
4.3.3
I
B
II
III
A
C
KJ
e-learning
Group Report of 2013 SISP
e-learning
- 51 -
Group Number 10-B
Supports for regional education in mathematical science
e-learning
:
4.3.4
Google
e-learning
Group Report of 2013 SISP
- 52 -
Group Number 10-B
Supports for regional education in mathematical science
web
HTML
web
web
web
:
4.3.5
KJ
I
II
III
A
B
C
KJ
17
e-learning
e-learning
e-learning
e-learning
Group Report of 2013 SISP
- 53 -
Group Number 10-B
Supports for regional education in mathematical science
:
4.3.6
I
II
III
I
KJ
3
[9]
III
I
e-learning
TEX
e-learning
Processing
e-learning
e-learning
Processing
web
web
Twitter Bootstrap
Twitter Bootstrap
HTML
[11]
Group Report of 2013 SISP
web
Bootstrap 3.0
HTML
- 54 -
Group Number 10-B
Supports for regional education in mathematical science
TEX
:
4.3.7
I
II
III
A
B
C
I
KJ
KJ
e-learning
A
e-learning
e-learning
3
Group Report of 2013 SISP
- 55 -
Group Number 10-B
Supports for regional education in mathematical science
1
:
Group Report of 2013 SISP
- 56 -
Group Number 10-B
Supports for regional education in mathematical science
5
e-learning
5.1
e-learning
HTML
2
web
1
2
2
III
I
I
40%
30
e-learning
e-learning
Processing
1
•
1
web
2
2
1
Group Report of 2013 SISP
- 57 -
Group Number 10-B
Supports for regional education in mathematical science
•
Processing
1
y = sin x
1
3
•
web
1
web
HTML
Twitter Bootstrap
:
5.2
5.1
KJ
17
e-learning
e-learning
Group Report of 2013 SISP
- 58 -
Group Number 10-B
Supports for regional education in mathematical science
2
web
:
5.3
4.2
5.3.1
• 17
1
1
•
•
•
illustrator
Group Report of 2013 SISP
1
- 59 -
Group Number 10-B
Supports for regional education in mathematical science
•
•
•
2
:
5.3.2
•
KJ
3
•
Group Report of 2013 SISP
- 60 -
Group Number 10-B
Supports for regional education in mathematical science
III
x
y
y = g(x)
•
AB
•
e-learning
e-learning
•
Group Report of 2013 SISP
- 61 -
Group Number 10-B
Supports for regional education in mathematical science
:
5.3.3
•
KJ
III
I
•
III
I
•
•
Group Report of 2013 SISP
- 62 -
Group Number 10-B
Supports for regional education in mathematical science
1
1
PC
e-learning
e-learning
•
:
5.3.4
•
KJ
I
• 17
•
Group Report of 2013 SISP
I
- 63 -
Group Number 10-B
Supports for regional education in mathematical science
•
TEX
•
Illustrater
•
e-learning
•
2
• web
e-learning
web
2
web
HTML
Group Report of 2013 SISP
- 64 -
Group Number 10-B
Supports for regional education in mathematical science
web
•
A
:
5.3.5
•
•
•
•
e-learning
e-learning
•
Group Report of 2013 SISP
- 65 -
Group Number 10-B
Supports for regional education in mathematical science
:
5.3.6
•
I
II
III
I
KJ
e-learning
•
III
I
•
A
TEX
TEX
• Processing
e-learning
Processing
y = 2x + 1
y = sin x
Processing
Group Report of 2013 SISP
- 66 -
Group Number 10-B
Supports for regional education in mathematical science
• web
e-learning
web
web
HTML
web
web
•
A
web
TEX
TEX
:
5.3.7
•
KJ
I
•
•
Group Report of 2013 SISP
- 67 -
Group Number 10-B
Supports for regional education in mathematical science
•
A
•
1
,
•
:
Group Report of 2013 SISP
- 68 -
Group Number 10-B
Supports for regional education in mathematical science
6
I
e-learning
e-learning
:
Group Report of 2013 SISP
- 69 -
Group Number 10-B
Supports for regional education in mathematical science
[1]
.
http://www.mext.go.jp/
[2]
.”
,
,
”.
.
http://www.mext.go.jp/a_menu/shotou/new-cs/youryou/
[3]
. ”PISA2012
”.
.
http://www.nier.go.jp/kokusai/pisa/pdf/pisa2012_reference_material.pdf
[4]
.”
1
”.
.
http://www.nier.go.jp/kokusai/pisa/pdf/pisa2012_reference_material.pdf
[5]
.”
SSH ”.
.
http://www.mext.go.jp/a_menu/shotou/new-cs/youryou/
[6]
.”
The Effects of
Comic-based Presentation of Instructional Materials on Comprehension and Retention”.
CiNii.
http://ci.nii.ac.jp/naid/110003026334
[7]
.”
”.
.
http://www.1book.co.jp/003792.html
[8]
.
. 2007.
[9]
[10]
.
.”
1
.
1981.
”.
.
http://www.1book.co.jp/003792.html
[11]
. ”Bootstrap 3.0
”.
.
http://dotinstall.com/lessons/basic_twitter_bootstrap_v4
Group Report of 2013 SISP
- 70 -
Group Number 10-B