Jourl o See d rs Yer 5, No., pp. 5-, 5 ORIGINL PPER TECHERS SSESS STUDENT S MTHEMTICL CRETIVITY COMPETENCE IN HIGH SCHOOL TRN TRUNG TINH Musrp reeved: 9..5; eped pper:..5; Pulsed ole:..5. sr. ssessme s oe o e mos powerul eduol ools or promog eeve lerg. u mus e used e rg wy. We eed o e o elpg eers use ssessme s pr o eg d lerg, wys wll rse pupl s eveme. Ts pper proposes some prolems o ssess sude s meml reve ompeey grde Vem. Keywords: mems ompeey, reve ompeey, mems eg meods.. INTRODUCTION ssessme s oe o e mos powerul eduol ools or promog eeve lerg. u mus e used e rg wy. We eed o e o elpg eers use ssessme s pr o eg d lerg, wys wll rse pupls eveme. eore eg, e eers eed o deerme eduol ms d ppropre eg meods or e pupl, Tereore, eers eed o ve e l ssessme o e ompeee o e pupl ou udes, ly o qure kowledge, ey use kowledge pre, rumses, e., ors mps pupls edug proess. Tereore, eg mems, e eers sould lso ve dgos ompeee, ssessme ompeee o ompreesve. Currely ssessme ompeey developme o mems eers re o good Vem. I s pper, we sugges some eques or pupls proess lerg.. RESULTS ND DISCUSSION We gve ou some emples [] elp pupls develope er revy wle eg qudr equo lesso Mems grde Vem. Gve,,. Nol Isue o Eduo Mgeme, Deprme o Jourl o Eduo Mgeme, Ho, Vem. E-ml: k@gml.om. ISSN: 8 958 Mems Seo
6 Teers ssess sude s Tr Trug T Proposo. Suppose, re wo soluos o. We ge:. Proposo. Suppose R[ ] d. We ge: > or ll d oly { > d < }. or ll d oly { > d }. < or ll d oly { < d < }. v or ll d oly { < d }. v ve wo soluos, d rel umers < < d oly <. Proposo. Suppose e sequee o rel umers,, su <, < d were or ll,,. We ve. [Poly]. [Corov]. Proo. y ve wo soluos,. Se we dedue e equly were,,. Sumg up we ge:. or www.jos.ro Mems Seo
Teers ssess sude s Tr Trug T 7. Hee. So < d dedue were,,, dedue we ve. pplyg e Cuy s Iequly, we ge or e Iequly. Te rs eque. Teers elp pupls o reogze e relo ewee equos d eory ey lered. Emple. Gve rel umers,,,,, su >. We ve. Proo. Cosderg e uo. From e supposo we dedue d. pplyg proposo.v we ge ve some soluos, dedue. Te seod eque. Cover prolem o oer equvle prolems. Emple. Gve rgle C. Le,, deoe e leg o edges d le S S C. Prove or ll > we ve e equly: S. Proo. Te ove equly s equvle o S or ll >. Cosder [ S ][ S ]. S Se os C dedue S. Smlry, se os C dedue S. We dedue ee eds e proo. Te rd eque. Cge e pprog meods o smply e orgl prolem. ISSN: 8 958 Mems Seo
8 Teers ssess sude s Tr Trug T Emple. Gve sequee su : 6 5,. Prove, or ll. Te sequee s o ouded rom ove. Proo. Se 6 5 we dedue e equo: or ll. We ge y dedue. We dedue d re wo soluos o s equo. pplyg Ves eorem, we dedue,. use > d 6 5 > 6 or ll dedue e sequee s mooolly resg. I e sequee s ouded rom ove e s e lm. Suppose s e lm s. Se d dedue. Dedue : orre. We ge e sequee s o ouded rom ove. Emple. Gve e eger sequee su, d were. Prove,. Te sequee s o ouded rom ove. Proo. We ve or ll. Tereore d re wo soluos o e equo. Usg Ves eorem, we ve. euse or ll d,, we dedue e sequee s mooolly resg. I e s ouded sequee rom ove e s e lm. Suppose s e lm s. Se d we dedue. We ge : orre. Tereore, e sequee s o ouded rom ove. Te our eque. Use dere meods o ullze gve ssumpos. www.jos.ro Mems Seo
Teers ssess sude s Tr Trug T 9 Emple 5. Gve rgle C Le,, deoe e leg o edges;,, : e leg o ludes; w. We ve T [ ][ ]. Proo. euse osc s C os s dedue <. Tereore <. Smlr <, <. W,,,, d,,. Usg proposo we ve e equly T. Emple 6. Gve rgle C Le,, deoe e leg o edges d ree rel umers p, q, r so p q r. We ve pq qr rp. Proo. Se p q r we suppose p, q, r. euse pq qr rp pq qr rp Tereore pq qr rp p r. p q r > dedue r p q pr. Emple 7. Prove or ll rel umers, y, z d or ll rgles C we ve equly y z y osc yz os z os. We dedue os os osc. 5 os os os C. 5 Proo. use e qudr uo y osc z os y z yzos s dedue, y, z d or ll e rgles C. Coosg y z we ge e equly. 6 8 Coosg, y d z we ge e equly. 6.8. 6.8. 6.8. Emple 8. Le,, deoe e leg o edges o rgle. Prove ree rels, y, z d su y z e we ve yz z y d yz z y. Proo. Se y z dedue z y. euse > ereore yz z y s equvle o yz z y. We prove y y y y or y y. Cosder e uo, y y y were >. euse ISSN: 8 958 Mems Seo
Teers ssess sude s Tr Trug T y ereore, y or ll, y. y euse z dedue yz z y s equvle o y y. Oe esly see. We dedue yz z y. Te eque. pplyg kowledge lely. Someme prolem mye rd or pupls. I requre lely, deped o spe prolem. Emple 9. Suppose. Prove m{ } 6. were su w Proo. euse ereore. euse ereore. We ge 8 8 6. Te equly olds d oly,, or,,. Emple. Suppose e d s some soluos re lrger. Prove g d e s some soluos. Proo. Deoed soluos o y w >. Dedue e. euse g e d d dedue d g e d d. We ge g g d < dedue g s some soluos [ ; ]. Emple. Suppose s some posve soluos. Prove. Proo. Suppose s soluo s >. euse,, ereore euse d ereore Tereore, we dedue e equly... Emple. Suppose su were. Fd e mmu vlue o. Proo. euse were dedue www.jos.ro Mems Seo
Teers ssess sude s Tr Trug T ISSN: 8 958 Mems Seo We osder. From e ove sysem o equles, we dedue. I e. We ge. I e. We ge. Tereore, we oosg,, d su os os were. We ge e mmu vlue o s. Emple. Suppose su.,, Prove 5 were. Proo. euse,,. Se, we ve d. We dedue. Tereore, we dedue 5 k. Emple. Gve or ll rel umers,, su were d we lwys ve. k Fd e mmu vlue o R k. Proo. Se. ;]} [ m{ Coosg,, we lwys ve equles. From s equles, we dedue:.
Teers ssess sude s Tr Trug T We lwys ve. W,,, we ve were d... Tereore k <, k do o ssy odos. Coluso we ge k. CONCLUSIONS I mems, s mpor o e pupls sel-lerg d dsoverg kowledge. Ts pper proposed some eques eg e lesso "Qudr equo", mems grde Vem. I w, eers elp pupls o pplyg kowledge lely d sudyg more eevely. Terey, mprovg e quly o o oly eg d lerg Mems u eduo Vem geerl. REFERENCES [] N, D.V., C, V.D., Dug, D.N., Puog, P.M., T, T.T., Tu, N.., Elemery geomery, Iormo d Commuo Pulsg House, Vem, 5. [] N, D.V.,T, T.T., V, P.T., H, P.D., Iequly, eremum, sysem equos. Iormo d Commuo Pulsg House, Vem,. [] Nm, T.T., N, D.V., Tg, L.., Some pplos o moder lger slovg elemery m prolems, Uversy o Eduo Hom y Pulsg House, Vem,. [] H, T.T., T, T.T., Formg d sregeg eg ompeey Mems Pedgogy sudes, Jourl o See o Ho Nol Uversy o Eduo, Vol. 6, No., pp. -7, 5. [5] Mrzo, R.J., Te r d see o eg: ompreesve rmework or eeve sruo, SCD, ledr-vrg, US, 7. www.jos.ro Mems Seo