徳島大会発表原稿【発表資料確定】

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1 ISSN Tottori Journal for Research in Mathematics Education Akinori Matsumoto Masayoshi Shinnoki vol.20, no.1 Dec. 2017

2

3 6 h.(n 1 ( r hbhn br r n nb- bh r Arn bh h nr n hb bh b an rh hb n bn s ahn hrbb bn hbn bn i n n n b bn r b n hn hb hn h b

4 b h e h h ar h hn sn n hb nn n,, ( h r nbbn n n b H sn ( r ), i /0 ( n b s h n n ( hb br h b.h ) hb hb n r - r n hb n nn H

5 n r n r nf n D 1, bn r n ) b (r b ( ) b h ihb rn n bn ab nb bn rann h, h n r n n bn n h h n n h n hh n h hn bbn s n anb n n r h n ( hh A B hn (

6 nn n hbs hb nn nn F b n nn nn nn ns nn i nn A B n rn.. ( nb sbnn nnn nnb bse F )- nnn nn h bnn n hbr hb r n n n n A BH hn nn nhn h bn s n b hb hn H )

7 F nb nbn A B i n rn, hn n hn / F r b snn bb nn A B nnhr b n Br n bn irn hbhb sn n n r() hn h rb b n ( n nh b B n ( bn.- nh nh n.- BBB.-.- n F in nhn n n n br nb n

8 A B i n a ( ) a nnsc rnn r n h rb n n - rr nn F ) an h n n A B h hhn h hr hr n) nb b bn F rn n rh n A B ( anh n - n hb n h n h rhn b hb n r, bn

9 F h h nn n n H n n 1 sbn hb nnh n h n ),,..) (n)( ) (),- (),) -(. (. ( -) (n),.- -, (n) ),(. ),,,(.( (n)( () (n) (n) ) ) -,),,( -) (. (,,,. -- )., H h( ( -. / ( ( ( ((a0 - )( r ) (.,,,- - (- ( (, h, ( (- ). H h( / ((a0 r ) - h, (, ( () ) - (. ). (- - ( (- (,

10 b 3 n12 2 n3 n n annh nn b nnnn3 n 4 r 4 nn 4 nhn 1 r 1/6 bnb6 a 1 i1 nn hb nb i(6 a a 50 ) n 1 1/6 () nb n n 3 4 b b n 2 3 hh nb rn rh s b nbn n ba n 2 nb 1 5A ar 5B hi b ( 1) 3 4 r hb bn nnb 1 r n n brh h hn b b (, H19) n nb n b nb n n h n nh F, 2016b nh26 -

11 h h n nn n b na hnn br n nn n hn nn 2 cn n ah (2014).., 17(7). (2006). h.,12, (2013) (2008). 19. ( ) (2010). n

12 6 1 bhbbab h r a nhai a i a i ir ( a i ( a 4,/ /012 ) hh ir hb4/) S S hbanb ( n a) h) r r 4)/)4-/( /01 h 4,/ / S S 0 1 げ えこ C

13 げえこ ) b h () n (.,((-, n h r rhhh ( ( nnh) Hah ( a( n ) rahh nh nnh / rh ) h h h n. n h ) n, n h rn H H H 0( an ( ( ( H - H - H - r rnn rni r hb rn H rin rn

14 7 9 じ げ えこ う 7 ご 990 ご 7 0 ご 0 し ご お ご 0 ご ご 0 じ し 7 ご 0 7 ご お 0 ご ご す し 9 ご 0 ご 1170 ご ご 90 7 ご 7790 ず え う ご ご 0 2 う 379 ご 0 う 7 ご 90 せ え さご 7 ご え 0 ご ご 0 7 ご 0 7 ご 17 0 え 4 だしせ 5 1 え 0 3 AB 4 だしせ 5 え ご え 0 3 AB H そ え げ えこ 1 え ご え ご 17 ご 0 17 ご 0 お 0 ご 790 ご え 79 ご 170

15 7 え し じ す ず せ そ じ げ えこ し し え え う ご 0 9 ご 0 う ご 17 0 さご 7 ご え 0 n4 ぞ しせ え 5 ご AB え え え 1 え え ご 9 0 げ え 77 こ H 6 ご60 ご07 70ごごご ごご 770ご ご お770 ごさ70ご72お3 お23707た H H ご2じお32せごじ ご3 70ごし0お 7970ご ご お7702お 3ご2お 3ご 7た 0 H H H し けけ 3 し 7 ご 770 / ご 23 し 067 た 7H 8 ご2く770 2ごか37 0ご 77 ご 0ご 02 ( う 7ご くご7ご 0ごう02 2ご くご ご 7ご 3ご 67ご た H 6 ご702 ち けけ3( ご ご ( ご ご けげご )) 70こが ご 60が ご ) 0きご ご ご 70ごきご 0ご ご 70 げえご 77こ H 々 しい 々 せ 07じ7 ご7ご 70 げ 2 々 し 3 こ (

16 bhab hnhh 452 あ 739 ご 0 ご 7 ご 9 ご 9 ご 7 0 H HH )

17 h nb h hirr h nbhb 45 6ご 90 ご ご 790ご H H HH AB

18 rhh bb bb hbbh nbhbh bbbhh 0 B B H ご6 9ご ご 0ご 9 9ご 71ご し 0 7ご 770 ABhbbh nbhbh

19 rah brrb h n rannrh Hnh rhnh B ご せせご 0 7ご 9 70 bn br n rn 8 0 ABra,

20 nhh bb B H0 bbnh b irh nh 0 AB hbir nnrh bn ご ご 0 7 ご 970 nhr n bnnn nsh -

21 8 nhh bb B H0 0 bbnh b irh nh 0 AB hbir nnrh bn.

22 ahb b a ) an h 0 B B 7 457ご す7ご 23 79ご 9 /9 0 8 H AB

23 nhn hh hbb H irh h n n n nn n r ABH H え 7 え ご 0 70 h SH hn

24 8 nhn hh hbb H irh h n n n nn n ABH H 2 2

25 ar H ab r anr b h 45 0 げしこ 7 ご ご 0 (

26 H27A15(2) H22A14(1) H24A14 H28A13(1) H27A15(1)

27 H27A15(2) H22A14(1) H24A14 H28A13(1) H27A15(1)

28 ISSN Site URLhttp:// PDF (vol.9 ) TEI & FAX ()

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