2013 Future University Hakodate 2013 System Information Science Practice Group Report Project Name Supports for regional education in mathematical science A Group Name Group A /Project No. 10-A /Project Leader 1011091 Masahiro Kurisu /Group Leader 1011201 Emi Tsuchinaga /Group Member 1010115 Kouki Satoi 1011060 Sumika Yamada 1011141 Syota Horiba 1011239 Ryoutarou Kawabata 1011250 Sayo Yamada Advisor Yoshio Uwano Hiroyuki Takamura Ken’ichirou Tanaka 2014 1 15 Date of Submission Janualy 15, 2013 4 10 (PISA) A 2 : -i- Abstract The visiting activity to ‘Enjoy Mathematics Club’ in a local primery school is one of the key activities of Project 10, that has been continued for four years. The activity started with the aim of improving ‘Apathy toward science and mathematics syndrome’ locally, which was too big to provide concrete ground for the activity. In those years, however, changes in domestic educational circumstance has provided good ground for the activity: In the latest internatinal achievement test, PISA, to students under fifteen years, Japan rose in rank though awareness of wide applicability of mathematics to things aouund them is not yet insufficient. With the aim of developping the awareness of applicability, the latst goverment course guideline for matheatics includes a new teaching item, ‘Sansuu-teki Katsuyou (mathematical application activity)’, Accordingly, the visiting activity has come to be satisfactorily placed as as a support for ‘Sansuu-teki Katsudo’, that expands the horizons of the participants of the club on mathematics. The Group A of Project 10 aims at development and practice of learning program for ‘Enjoy Mathematics Club’ at Kashiwano primary school under the cooperation agreements between Hakodate school board and Future University Hakodate. The program consists of five subjects, entitled ‘binary numbers and their operation’, ’pixel art’, ’Pascal’s triangle’, ’braid’, and ’arithmetic in the world ’. The activities of Group A through 2014 are reported together with evaluations by the participating school lids and by the audience of the intermediate and the final presentations. Keyword Primary-school visiting activity, Enjoy Mathematics Club, Mathematical application activity : Masahiro Kurisu - ii - 1 1 1.1 . . . . . . . . . . . . . . . . . . . . . 1 1.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 1.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 4 2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2.1 . . . . . . . . . . . . . . . . . . . . . . . 6 2.2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2.3 1 2.2.4 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2.5 3 . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2.6 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.2.7 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 . . . . . . . . . . . . . . . 14 2.4.2 . . . . . . . . . . . . . . 14 2.4.3 . . . . . . . . . . . . . 15 2.4.4 . . . . . . . . . . . . . . . . . . 15 2.4.5 . . . . . . . . . . . . . . . . . 15 2.4.6 . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4.7 . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.4.8 . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.4.9 . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.2.8 2.4.1 2 2 3 17 3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2 . . . . . . . . . . . . . . . 17 3.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 3.2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.2.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 3.2.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 - iii - 3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 3.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3.3.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 3.3.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.3.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 3.4.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.4.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3.4.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.4 4 32 4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.2.1 1 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.2.2 2 2 . . . . . . . . . . . . . . . . . . . . . . . 36 4.2.3 3 2 . . . . . . . . . . . . . . . . . . . . . . 37 4.2.4 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 4.2.5 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 4.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 4.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . 41 . . . . . . . . . . . . . . . . . . . . . . . . . . 42 4.3.4 . . . . . . . . . . . . . . . . . . . . . . . . 43 4.3.5 . . . . . . . . . . . . . . . . . . . . . . . . . . 43 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 4.3 4.3.3 in 4.4 4.4.1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 . . . . . . . . . . . . . . . . . . . . . . . . . . 45 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 4.5.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 4.5.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 4.5.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56 4.4.2 4.4.3 : 3 4.4.4 4.4.5 4.4.6 4.5 2 5 - iv - 4.5.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4.5.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.5.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 4.5.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 5 64 5.1 64 5.1.1 1 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 5.1.2 2 2 . . . . . . . . . . . . . . . . . . . . . . . 64 5.1.3 3 2 . . . . . . . . . . . . . . . . . . . . . . 64 5.1.4 4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 5.1.5 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 5.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 5.2.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 5.2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67 5.2.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 5.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 5.2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 5.2.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 5.2 5.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 -v- Supports for regional education in mathematical science 1 1.1 1.1 PISA2012 [1] (PISA2012)[2] 1.2 Group Report of 2013 SISP [2] -1- Group Number 10-A Supports for regional education in mathematical science [3] A A 2008 3 2 4 : 1.2 A 1 1 : 1.3 1 45 30 3 Group Report of 2013 SISP -2- Group Number 10-A Supports for regional education in mathematical science : Group Report of 2013 SISP -3- Group Number 10-A Supports for regional education in mathematical science 2 2.1 2.1 A A 6 10 5 3 , 3 : 1. 2. Group Report of 2013 SISP : -4- Group Number 10-A Supports for regional education in mathematical science 3. : 3 2 2 2 2.1 : 2.2 2.2 5 Group Report of 2013 SISP 2 -5- ( 1 ) Group Number 10-A Supports for regional education in mathematical science ( ( 2 ) 4 1 ( ) ( 3 5 ) 3 ) 2 2 2 2 10 10 2 10 2 1 2 3 2 4 5 4 5 1 2 3 2 4 2.3 : 2.2.1 Group Report of 2013 SISP -6- Group Number 10-A Supports for regional education in mathematical science 2.4 2 : 2.2.2 : 2.2.3 1 2 2 2 2 10 0 2 2 31 10 2 2 10 Group Report of 2013 SISP -7- Group Number 10-A Supports for regional education in mathematical science 2 2 2 2 10 10 10 2 1 A 2.5 : 2.2.4 2 1 Group Report of 2013 SISP 10 -8- 2 Group Number 10-A Supports for regional education in mathematical science 2 4 1 5 2 2 2 2 1 2 2 2 1 2 2.6 2 : Group Report of 2013 SISP -9- Group Number 10-A Supports for regional education in mathematical science 2.2.5 3 1 2 2 10 2 2 8 0 1 2 2.7 3 : 2.2.6 4 3 2 Group Report of 2013 SISP - 10 - Group Number 10-A Supports for regional education in mathematical science [4] 2.8 4 : 2.2.7 5 , Group Report of 2013 SISP - 11 - Group Number 10-A Supports for regional education in mathematical science 2.9 : 2.2.8 • • A Group Report of 2013 SISP - 12 - Group Number 10-A Supports for regional education in mathematical science B A : 2.3 A 8 7 1 5 A 4 A A A 4 5 4 5 2 Group Report of 2013 SISP - 13 - Group Number 10-A Supports for regional education in mathematical science 2.10 : 2.4 4 2.4.1 5 2 : 2.4.2 : Group Report of 2013 SISP - 14 - Group Number 10-A Supports for regional education in mathematical science 2.4.3 : 2.4.4 : 2.4.5 : 2.4.6 : 2.4.7 : Group Report of 2013 SISP - 15 - Group Number 10-A Supports for regional education in mathematical science 2.4.8 : 2.4.9 : Group Report of 2013 SISP - 16 - Group Number 10-A Supports for regional education in mathematical science 3 3.1 A A 7 1 5 5 1 4 3 4 : 3.2 3.2.1 5 Web 6 2 2 7 9 10 11 12 : Group Report of 2013 SISP - 17 - Group Number 10-A Supports for regional education in mathematical science 3.2.2 5 Web 6 2 2 7 9 10 11 12 : 3.2.3 5 Web 6 7 9 10 11 12 : 3.2.4 5 Web 6 7 9 10 4 , 5 4 , 5 , 11 12 , : Group Report of 2013 SISP - 18 - Group Number 10-A Supports for regional education in mathematical science 3.2.5 5 Web 6 2 2 7 9 10 11 12 : 3.2.6 5 Web 6 2 2 7 9 10 11 12 : 3.2.7 5 Web 6 7 9 10 11 12 : Group Report of 2013 SISP - 19 - Group Number 10-A Supports for regional education in mathematical science 3.3 3.3.1 5 2 1 6 1 2 . 7 A 4 9 4 10 11 12 3 : 3.3.2 5 2 1 6 2 1 2 2 3 7 Group Report of 2013 SISP - 20 - Group Number 10-A Supports for regional education in mathematical science 9 5 5 10 5 11 12 : 3.3.3 5 5 2 , 6 1 2 3 . 3 7 9 3 5 5 10 11 , . 12 , . : 3.3.4 5 Group Report of 2013 SISP - 21 - Group Number 10-A Supports for regional education in mathematical science 5 6 2 2 2 7 9 4 , 4 4 . , . 10 5 , 5 , 5 11 12 , : 3.3.5 5 2 1 Group Report of 2013 SISP - 22 - 2 Group Number 10-A Supports for regional education in mathematical science 6 1 3 1 2 A 7 3 4 3 9 10 5 5 11 A 12 : 3.3.6 5 2 1 6 2 1 5 2 2 5 7 4 2 9 10 11 2 Group Report of 2013 SISP - 23 - Group Number 10-A Supports for regional education in mathematical science 12 : 3.3.7 5 2 6 2 2 7 3 3 4 5 3 9 10 11 12 : Group Report of 2013 SISP - 24 - Group Number 10-A Supports for regional education in mathematical science 3.4 3.4.1 3.1 2 , , . , , 1 1 : Group Report of 2013 SISP - 25 - Group Number 10-A Supports for regional education in mathematical science 3.4.2 3.2 2 : Group Report of 2013 SISP - 26 - Group Number 10-A Supports for regional education in mathematical science 3.4.3 3.3 : Group Report of 2013 SISP - 27 - Group Number 10-A Supports for regional education in mathematical science 3.4.4 3.4 : Group Report of 2013 SISP - 28 - Group Number 10-A Supports for regional education in mathematical science 3.4.5 3.5 5 1 3 5 2 2 4 2 2 23 Group Report of 2013 SISP - 29 - Group Number 10-A Supports for regional education in mathematical science : 3.4.6 3.6 2 5 2 1 2 : Group Report of 2013 SISP - 30 - Group Number 10-A Supports for regional education in mathematical science 3.4.7 3.7 : Group Report of 2013 SISP - 31 - Group Number 10-A Supports for regional education in mathematical science 4 4.1 5 4 6 3 4 5 2 2 5 1 1 3 2 1 3 5 1 2 2 0 10 2 31 2 4 2 2 1 1 10 2 2 2 A 10 50 2 48 41 6 7.0 5 Group Report of 2013 SISP - 32 - 45 42 6 Group Number 10-A Supports for regional education in mathematical science 6.7 A 3 10 1 2 2 2 3 2 3 4 1 1 5 3 1 1 1 10 58 58 6 55 1 7.55 Group Report of 2013 SISP - 33 - Group Number 10-A Supports for regional education in mathematical science 1 4 1 58 55 6 1 7.55 A 0.5 A A 5 4 5 A A 4 : Group Report of 2013 SISP - 34 - Group Number 10-A Supports for regional education in mathematical science 4.2 4.2.1 1 2 4.1 1 2 1 2 2 10 2 2 10 1 2 2 2 : Group Report of 2013 SISP - 35 - Group Number 10-A Supports for regional education in mathematical science 4.2.2 2 2 4.2 2 2 2 1 1 1 3 : Group Report of 2013 SISP - 36 - Group Number 10-A Supports for regional education in mathematical science 4.2.3 3 2 4.3 3 3 2 2 3 2 1 : Group Report of 2013 SISP - 37 - Group Number 10-A Supports for regional education in mathematical science 4.2.4 4 4.4 4 4 , . , . , . 2 . . , . , , . , . , . . , . , , . . , . , , . . . , , . : Group Report of 2013 SISP - 38 - Group Number 10-A Supports for regional education in mathematical science 4.2.5 5 4.5 5 5 : Group Report of 2013 SISP - 39 - Group Number 10-A Supports for regional education in mathematical science 4.3 4.3.1 4.6 : Group Report of 2013 SISP - 40 - Group Number 10-A Supports for regional education in mathematical science 4.3.2 4.7 1 2 2 10 2 2 4 4 2 : Group Report of 2013 SISP - 41 - Group Number 10-A Supports for regional education in mathematical science 4.3.3 in 4.8 in A : Group Report of 2013 SISP - 42 - Group Number 10-A Supports for regional education in mathematical science 4.3.4 4.9 3 : 4.3.5 1 30 40 3 1 Group Report of 2013 SISP - 43 - Group Number 10-A Supports for regional education in mathematical science 3 1 1 1 2 0 31 : 4.4 4.4.1 1 2 1 2 2 10 4 5 2 2 2 2 10 : 4.4.2 : 2 1 2 4 Group Report of 2013 SISP - 44 - Group Number 10-A Supports for regional education in mathematical science 2 1 : 4.4.3 3 3 1 1 3 2 2 2 2 2 5 : 4.4.4 4 ? 5 2 4 Group Report of 2013 SISP - 45 - Group Number 10-A Supports for regional education in mathematical science : 4.4.5 5 5 : 4.4.6 2 5 (1) (2) (3) (4) (5) (6) (5)(6) (1) 2 (2) 2 10 2 (3) 2 (4) 2 2 1 31 10 31 (2) 2 Group Report of 2013 SISP (3) - 46 - Group Number 10-A Supports for regional education in mathematical science (4) 2 (2) (3) (4) 2 2 0 0 10 0 (2) 4 (3) 3 4 (4) (2) (3) (4) (5) (6) 1 5 Group Report of 2013 SISP - 47 - Group Number 10-A Supports for regional education in mathematical science 1 2 8 (1) • 8 • 0 • (2) 0 • 10 • • 2 • • 2 • 10 10 2 • • (3) • • • • • • 2 • • (4) 31 31 • • • 31 • • • 10 • • 2 : (8 ) (1) • 8 • (2) 0 • • 0 2 • Group Report of 2013 SISP - 48 - Group Number 10-A Supports for regional education in mathematical science • • 2 10 • • • • (3) • 2 • • • • • • • (4) • • • • • • • • 3 : (8 ) (1) • 8 • (2) • 0 0 • • • • • • • (3) • • • Group Report of 2013 SISP - 49 - Group Number 10-A Supports for regional education in mathematical science • • • • • (4) 1 • • 2 0 • • • • • • • 4 : 8 (1) • 8 • (2) 0 • 0 • • • • • • • (3) • • • 3 4 • • • • • (4) • • Group Report of 2013 SISP - 50 - Group Number 10-A Supports for regional education in mathematical science • • • • • • • 5 : 7 (1) • 7 • (2) 0 • 0 • • • • • • (3) • • • • • • • (4) • • • • • • • (5) • • • (7) • 6 0 1 • Group Report of 2013 SISP - 51 - Group Number 10-A Supports for regional education in mathematical science 1 1 2 0 3 2 4 3 5 1 • 1 1 2 5 3 0 4 1 5 0 • 1 0 2 0 3 0 4 2 5 5 • 1 3 2 2 3 1 4 0 5 1 • 1 2 2 0 3 4 4 1 5 0 Group Report of 2013 SISP - 52 - Group Number 10-A Supports for regional education in mathematical science 4.10 : 4.5 4.5.1 Web 2 4 6 2 3 2 10 2 2 Group Report of 2013 SISP 6 - 53 - Group Number 10-A Supports for regional education in mathematical science 4 2 1 3 4 4 2 Group Report of 2013 SISP - 54 - Group Number 10-A Supports for regional education in mathematical science TeX TeX : 4.5.2 Web 1 2 1 1 3 5 Group Report of 2013 SISP - 55 - Group Number 10-A Supports for regional education in mathematical science in in : 4.5.3 5 2 1 2 3 3 3 5 3 Group Report of 2013 SISP - 56 - Group Number 10-A Supports for regional education in mathematical science 5 5 , B A B , Tex : 4.5.4 Web 2 2 5 Group Report of 2013 SISP - 57 - Group Number 10-A Supports for regional education in mathematical science 2 4 , 4 5 5 1 , 5 , 5 Group Report of 2013 SISP - 58 - Group Number 10-A Supports for regional education in mathematical science , Web : 4.5.5 web 4 . 2 Group Report of 2013 SISP - 59 - Group Number 10-A Supports for regional education in mathematical science 5 2 2 A B Group Report of 2013 SISP - 60 - Group Number 10-A Supports for regional education in mathematical science : 4.5.6 Web 2 2 2 1 2 2 2 1 2 5 2 4 4 No.1 2 2 2 Group Report of 2013 SISP - 61 - Group Number 10-A Supports for regional education in mathematical science Tex URL URL : 4.5.7 Web 2 1 Group Report of 2013 SISP - 62 - Group Number 10-A Supports for regional education in mathematical science : Group Report of 2013 SISP - 63 - Group Number 10-A Supports for regional education in mathematical science 5 5.1 5.1.1 1 2 1 2 2 2 10 2 2 10 1 2 2 2 : 5.1.2 2 2 2 2 1 1 1 3 : 5.1.3 3 3 2 2 Group Report of 2013 SISP - 64 - Group Number 10-A Supports for regional education in mathematical science 2 3 2 1 : 5.1.4 4 4 4 4 3 4 : 5.1.5 5 5 5 : Group Report of 2013 SISP - 65 - Group Number 10-A Supports for regional education in mathematical science 5.2 5.2.1 2 2 2 2 2 2 6 5 4 4 4 5 1 5 Group Report of 2013 SISP - 66 - Group Number 10-A Supports for regional education in mathematical science : 5.2.2 2 1 3 5 : 5.2.3 2 1 2 ( ) 1 4 Group Report of 2013 SISP - 67 - Group Number 10-A Supports for regional education in mathematical science 1 5 No.1 ( ) 5 2 2 : 5.2.4 5 3 3 1 2 Group Report of 2013 SISP 4 2 - 68 - Group Number 10-A Supports for regional education in mathematical science : 5.2.5 5 5 5 5 1 Group Report of 2013 SISP - 69 - Group Number 10-A Supports for regional education in mathematical science : 5.2.6 2 5 4 2 2 5 1 : 5.2.7 3 2 3 4 2 1 2 2 3 Group Report of 2013 SISP - 70 - Group Number 10-A Supports for regional education in mathematical science 4 : 5.3 5.1 A 3 4 Group Report of 2013 SISP 5 - 71 - 6 3 8 Group Number 10-A Supports for regional education in mathematical science 4 6 1 2 3 4 : Group Report of 2013 SISP - 72 - Group Number 10-A Supports for regional education in mathematical science [1] ” , , ” http://www.mext.go.jp/a menu/shotou/new-cs/youryou/ [2] 2013 12 4 http://www.asahi.com/articles/TKY201312030495.html 2013/12/20 [3] 2013 11 5 [4] http://ir.lib.osaka-kyoiku.ac.jp/dspace/bitstream/123456789/212/1/KJ00004125562.pdf 2013/12/20 Group Report of 2013 SISP - 73 - Group Number 10-A
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