亂帺慠宯嫵堢島嵗乮悢妛乯亃
丂
崟丂栘丂怢丂柧乮嫵丂庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
丒嫵堢曽朄偍傛傃惉愌昡壙柺偱偺庢傝慻傒
丂悢妛傪丆偨偩夝偗傟偽傛偄偲偄偆悢妛娤丒妛廗娤偐傜懡條側峫偊曽傪堷偒弌偡偙偲偑壜擻側嫵嵽傪奐敪偟丆偙傟傜傪妛惗偵梌偊傞偙偲偵傛傝丆妛廗娤偺曄梕傪堄恾偟偨庼嬈傪峴偭偨丅
丂懡條側峫偊曽偺昁梫惈偺擣幆丆偍傛傃丆嬶懱揑側栤戣偱偺惉壥傪昡壙婎弨偲偟偨丅
尋媶巜摫
丂攷巑壽掱妛惗偺巜摫偱偼丆僆儕僕僫儖側惉壥傪妛夛帍偵搳峞偡傞偙偲傪栚昗偵巜摫傪峴偭偨丅
偦偺懠偺嫵堢妶摦
嘆柭栧嫵堢戝妛旕忢嬑島巘
嘇暥晹壢妛徣俽俹俹尋媶幰彽傊偄島嵗島巘乮媨忛導棫榃妛峑丆搶嫗搒棫戝捤傠偆妛峑丆杒嬨廈巗棫斅烠拞妛峑乯
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
懠亃嘆暯惉18擭侾寧亀壠掚妛廗傪峫偊傞丗帺暘偱偡傞曌嫮偺妝偟偝傪亁丂晈恖擵桭2006擭侾寧崋丆pp.123-127
丂
亙幮夛偲偺楢実亜
幮夛揑妶摦忬嫷
嘆暯惉17擭搙怴妰導崅摍妛峑弶擟幰尋廋島巘乮怴妰導乯
丂
拞丂愳丂丂丂恗乮嫵丂庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
丂婎慴慄宍戙悢妛丄慄宍戙悢妛丄戙悢妛A偱偼丄嬶懱椺傪懡偔嫇偘偰夝愢偡傞偙偲偵傛偭偰丄慄宍戙悢丄娐榑丒懱榑偵娭偡傞拪徾揑撪梕偺棟夝傪崅傔傞岺晇傪峴偭偨丅
丂傑偨丄墘廗栤戣傪夝偄偰儗億乕僩採弌偝偣傞偙偲偵傛偭偰丄寁嶼椡偺梴惉傪栚巜偟偨丅
尋媶巜摫
丒廋巑俀擭偺戝妛堾惗俀柤偺尋媶僙儈僫乕巜摫傪峴偭偨丅
丒廋巑侾擭偺戝妛堾惗侾柤偺尋媶僙儈僫乕巜摫傪峴偭偨丅
丒妛晹係擭惗俁柤偺愱栧僙儈僫乕巜摫傪峴偭偨丅
丒妛晹俁擭惗俀柤偺愱栧僙儈僫乕巜摫傪峴偭偨丅
丂
亙尋媶妶摦亜
妛夛妶摦傊偺嶲壛忬嫷摍
嘆俋寧丗擔杮悢妛夛憤崌暘壢夛弌惾
丂
亙幮夛偲偺楢実亜
幮夛揑妶摦忬嫷
嘆忋墇抧嬫崅摍妛峑悢妛尋媶夛屭栤
嘇俉寧乽挿壀偺恖嵽嫵堢乿拞妛峑悢妛傾僇僨儈乕乮挿壀巗嫵堢埾堳夛乯島巘
嘊10寧丂忋墇抧嬫崅摍妛峑悢妛尋媶夛丂島巘
丂
峚丂忋丂晲丂泬乮嫵丂庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
丂偐偹偰偐傜晠怱偟偰偄傞乽悢妛婎慴墘廗II乿偺庼嬈夵慞偵搘傔偨丅
丂墘廗壢栚偱偁傞棙揰傪嵟戝尷惗偐偡偵偼偳偆偁傞傋偒偐偲偄偆娤揰偐傜庼嬈傪峴偭偨丅
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
挊亃嘆暯惉17擭俋寧丗亀弶摍婔壗擖栧亁乮扨挊乯丂擔杮昡榑幮
榑亃嘆T. Mizokami:丂On Alexandroff Duplicate, Commentationes Math. Univ. Carolinae 46(2005), 125-130
嘇T. Mizokami and F. Suwada: On general resolutions of spaces due to networks, Houston J. Math. 31(2005), 1115-1126
妛夛妶摦傊偺嶲壛忬嫷摍
嘆弔丄廐偺悢妛夛傊偺弌惾
嘇Editor of 乬Questiosn and Answera in General Topology乭
嘊Reviewer of 乬Zentralblatt Math乭
嘋拞崙丄傾儊儕僇丄僀儞僪偺僕儍乕僫儖偺儗僼儕乕妶摦
丂
怷丂丂丂丂丂攷乮嫵丂庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
丂妛晹偺乽婎慴旝暘愊暘妛乿偵偍偄偰丄崅摍妛峑偱悢妛嘨傪棜廋偟偰偙側偐偭偨妛惗偵傕棟夝偑偱偒傞傛偆偵丄島媊偺撪梕傪妋擣偡傞彫僥僗僩丄墘廗傪庢傝擖傟偨丅
尋媶巜摫
丂妛晹妛惗偺婔壗妛僙儈僫乕嘥丄嘦偵偍偄偰丄僥僉僗僩乽儀僋僩儖夝愅偲偦偺墳梡乿媦傃乽旝暘婔壗妛擖栧乿傪梡偄偰僙儈僫乕宍幃偱峴偭偨丅僥僉僗僩偺悢妛揑側撪梕傪丄暔棟妛偲偺娭楢偵偮偄偰傕愢柧偟偨丅
丂戝妛堾偺婔壗妛尋媶僙儈僫乕嘥偵偍偄偰丄儐乕僋儕僢僪嬻娫撪偺嬋慄媦傃嬋柺偵偮偄偰僥僉僗僩乽嬋慄偲嬋柺偺旝暘婔壗乿傪梡偄偰僙儈僫乕宍幃偱峴偭偨丅屆揟揑偵抦傜傟偰偄傞嬌彫嬋柺偺椺傪暋慺娭悢偵傛傞昞帵媦傃Weierstrass-Enneper偺昞尰岞幃摍偺曄暘栤戣偲枾愙偵娭楢偡傞婔壗妛揑偵旤偟偄惈幙偵偮偄偰僙儈僫乕宍幃偱棟夝傪怺傔偨丅
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
丂暯惉18擭俀寧俀擔丆R2偐傜R4傊偺摍挿揑偼傔偙傒幨憸偵偮偄偰丆
丂曃旝暘曽掱幃愬戜尋媶廤夛乮敪昞幰丗嫟摨尋媶幰丂搰憅 婭晇乮搶杒戝妛柤梍嫵庼乯乯
嫟摨尋媶偺幚巤忬嫷
嘆乽嫵幒傪嫆揰偲偟偨乿嫤摨揑悢妛嫵嵽奐敪曽朄榑偺峔抸丗乽悢妛偺柺敀偝乿偵徟揰傪偁偰偰丂戙昞幰丗娾嶈丂峗乮忋墇嫵堢戝妛彆嫵庼乯暯惉17擭搙忋墇嫵堢戝妛尋媶僾儘僕僃僋僩
妛夛妶摦傊偺嶲壛忬嫷摍
嘆俋寧19擔乣21擔丗2005擭擔杮悢妛夛廐婫憤崌暘壢夛偵弌惾
丂
亙幮夛偲偺楢実亜
幮夛揑妶摦忬嫷
嘆11寧15擔偵忋墇悢妛尋媶夛夛挿偲偟偰戞49夞忋墇嶼悢丒悢妛尋媶乮捈峕捗乯戝夛傪奐嵜偟偨丅
丂
娾丂嶈丂丂丂峗乮彆嫵庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
亂娤揰侾亃嫵堢曽朄媦傃惉愌昡壙柺偱偺庢慻
仜庼嬈宍懺丆妛廗乮尋媶乯巜摫朄摍偺嫵堢曽朄偵娭偡傞庢慻忬嫷
丂悢妛嫵堢妛A偲悢妛壢巜摫朄偺庼嬈偱偼丆尋媶惉壥偺堦晹傪嫵嵽偲偟偰棙梡偡傞偙偲傪宲懕偟偰帋傒偰偄傞丅摿偵丆偦偺婎偲側傞僨乕僞偱偁傞庼嬈偺價僨僆婰榐傪揔媂妶梡偡傞偙偲偵傛傝丆尰応偺幚慔偲偺娭學傪怺傔傞岺晇傪峴偭偰偄傞丅悢妛揑宱尡偲妛廗夁掱偱偼丆嫵堢幚廗慜偲偄偆偙偲偵攝椂偟丆幚慔応柺偲偄偆傛傝傕傓偟傠嫵嵽偺柺敀偝傪帺傜懱尡偱偒傞傛偆側嫵嵽傪岺晇偟偰偄傞丅崱擭搙偼丆偦偺怴偟偄戣嵽偲偟偰柍棟悢傪庢傝忋偘丆楢暘悢傪敽偆嬶懱揑側寁嶼傗嶌恾側偳偺妶摦傪庢傝擖傟側偑傜丆妛惗偨偪偑偦偺昞尰偺旤偟偝丆偦偺楌巎揑丒揘妛揑堄枴傪懱尡揑偵棟夝偱偒傞傛偆攝椂偟丆妛惗偨偪偑妛峑偱埖傢傟傞嫵嵽傪傒傞帇揰傪峀偘傞偙偲傪帋傒偨丅
仜惉愌昡壙朄偵娭偡傞庢慻忬嫷
丂崱擭搙偼摿偵丆儗億乕僩偺壽戣偵徟揰傪偁偰丆妛惗偨偪偑壗傪偳偺掱搙傑偱妛傫偩偐傪昡壙偡傞偨傔偵丆庼嬈偱偺妛惗偨偪偺嬶懱揑側妶摦傗庢慻偑柧妋偵側傞傛偆儗億乕僩壽戣傪岺晇偟丆妛惗偨偪偺払惉忬嫷傪傛傝揑妋偵攃埇偡傞偲偲傕偵崱屻偺庼嬈夵慞偵惗偐偡偙偲偑弌棃傞傛偆偵搘傔偨丅
亂娤揰俀亃嫵堢偺払惉忬嫷
仜恑妛傗廇怑側偳偺懖嬈乮廋椆乯屻偺恑楬偺忬嫷偐傜敾抐偟偨庢慻忬嫷
丂扴摉偟偨戝妛堾惗偼俁柤乮彫妛峑偺尰怑嫵堳俀柤偲拞妛峑偺尰怑嫵堳侾柤乯偱偁偭偨丅尰応偱偺幚慔揑栤戣傗偙偩傢傝傪捛媮偟丆偦偺惉壥傪廋巑榑暥偲偟偰採弌偟丆尰怑暅婣傪壥偨偟偨丅妛晹妛惗偼俀柤偱丆撪侾柤偼丆岞棫妛峑偺嫵堳嵦梡帋尡偵崌奿傪壥偨偟丆晉嶳導偺彫妛峑嫵桜偲偟偰嵦梡偝傟傞偙偲偲側偭偨丅傕偆侾柤偼丆恑楬曄峏偟丆堛椕婡娭偺帠柋怑堳偲偟偰廇怑偟偨丅
尋媶巜摫
亂娤揰侾亃戝妛堾
丂戝妛堾偱偼丆堾惗偺椪彴揑幚慔椡岦忋偺偨傔偵丆堾惗堦恖堦恖偺乽偙偩傢傝乿偵懃偟偰丆摿偵丆堾惗偺幚慔揑尋媶偵偍偗傞丆幚尡庼嬈媦傃椪彴揑僀儞僞價儏乕偲偦偺僾儘僩僐儖丆僼傿乕儖僪僲乕僩偵尰傟傞帠徾偺夝庍丒暘愅傪捠偟偰丆帣摱丒惗搆偵婑傝揧偭偨嶼悢丒悢妛偺巜摫偺偁傝曽傪嬶懱揑偵懆偊傞偙偲傪帋傒偨丅傑偨丆帺傜偺尋媶偺帇揰傪峀偘偨傝廋惓偟偨傝偡傞宊婡偲偟偰丆偝傜偵戞俁幰偐傜昡壙偝傟傞婡夛偲偟偰悢妛嫵堢娭學偺妛夛傗尋媶夛傊偺嶲壛媦傃敪昞傪懀恑偟偨丅暯惉17擭俇寧25擔乣26擔偵奐嵜偝傟偨慡崙悢妛嫵堢妛夛 戞22夞尋媶敪昞夛乮峀搰戝妛乯偵M侾惗俀柤M俀惗俁柤偑弌惾偟丆M俀惗俁柤偑尋媶敪昞傪峴偭偨丅暯惉17擭10寧29擔乣30擔偵奐嵜偝傟偨擔杮悢妛嫵堢妛夛 戞38夞悢妛嫵堢榑暥敪昞夛乮嶳棞戝妛乯偱偼丆M侾惗係柤丆M俀惗俁柤偑弌惾偟丆M俀惗俁柤偑榑暥敪昞傪峴偭偨丅暯惉18擭侾寧28擔乣29擔偵奐嵜偝傟偨丗慡崙悢妛嫵堢妛夛 戞23夞尋媶敪昞夛乮孎杮戝妛乯偵偼丆M侾惗係柤丆M俀惗俁柤偑弌惾偟丆M侾惗俁柤偲M俀惗俁柤偑尋媶敪昞傪峴偭偨丅偦偺懠丆暯惉17擭俈寧16擔乣17擔偵廋巑榑暥拞娫敪昞乮柇崅乯傪奐嵜偟丆暯惉18擭俁寧15擔乣17擔偵偼丆M侾惗傪拞怱偲偟偰丆庡偵拀攇戝妛偺嫵堳丆戝妛堾惗偲崌摨偱廋巑榑暥偺峔憐敪昞傪峴偭偨丅
亂娤揰俀亃妛晹
丂妛晹偵偍偄偰偼丆戝妛堾偵偍偗傞偙偺傛偆側嬶懱揑帠椺傗懠偺榑暥偺嬶懱揑側幚慔応柺傪椺偲偟偰丆島撉偟偰偄傞暥專偵偍偗傞挊幰偺庡挘傗妛惗奺帺偺栤戣堄幆傪傛傝嬶懱揑偵懆傞偙偲傪懀偟偨丅嬤椬偱奐嵜偝傟傞庼嬈尋媶夛偵愊嬌揑偵嶲壛偡傞偙偲傪懀偟丆屄乆偺庼嬈応柺偵偮偄偰僨傿僗僇僢僔儑儞偡傞婡夛傪憹傗偟偨丅
丂傑偨丆妛晹妛惗堦恖堦恖偺嫵堢幚廗偵偍偗傞尋媶庼嬈傪價僨僆偱婰榐偟丆屻偵偦傟傪帇挳偟丆偦傟偵偮偄偰僨傿僗僇僢僔儑儞偡傞婡夛傪愝偗偨丅偦偺嵺丆嫵巘偺嫵庼峴堊偩偗偱側偔丆偦偺庼嬈拞偺堦恖偺巕偳傕偺妶摦傪捛偄偐偗偨價僨僆婰榐傕峴偄丆巕偳傕偺棫応偵棫偭偨椪彴揑側巜摫椡偺岦忋偵栶棫偰偨傞岺晇傪峴偭偨丅傑偨丆戝妛堾惗傪岎偊偰偺懖嬈榑暥敪昞夛傪宲懕偟偰幚巤偟偰偄傞丅
偦偺懠偺嫵堢妶摦
嘆暯惉17擭12寧丗摿暿嫵怑島嵗乽嶼悢乿偺島巘傪柋傔偨丅
仢摿怓偁傞揰媦傃崱屻偺専摙壽戣摍
丂島媊傗尋媶巜摫偲妛奜偱奐嵜偝傟傞庼嬈尋媶夛傗摿偵戝妛堾惗偺尋媶巜摫偵奜晹昡壙傪愊嬌揑偵庢傝擖傟偰偄傞揰丅摿偵丆尋媶庼嬈傗偦偺尋媶嫤媍夛偵妛晹惗丆戝妛堾惗偲偲傕偵嶲壛偟丆偦偺応偱屄乆偺庼嬈応柺偵偮偄偰僐儊儞僩偟偨傝丆僨傿僗僇僢僔儑儞偡傞傛偆偵偟偰偄傞丅傑偨丆偦偺嵺丆價僨僆摍偵婰榐偟偨尋媶庼嬈偺拞偐傜揟宆揑側応柺傪丆偦偺昅婰榐偲偲傕偵丆庼嬈偱庢傝忋偘傞側偳偟偰丆椪彴揑側幚慔椡傪栚巜偟偨巜摫傪怱偑偗偰偄傞丅傑偨丆摿偵戝妛堾惗偵偼丆偱偒傞尷傝妛夛傗尋媶夛偵傕嶲壛丒敪昞偡傞偙偲傪懀偟丆懠偺尋媶幰偲偺憡屳岎棳傪恾傝丆偦傟傜傪奜晹偐傜偺昡壙偲偟偰愊嬌揑偵尋媶巜摫偵惗偐偡傛偆偵偟偰偄傞丅
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
榑亃嘆暯惉17擭11寧丗亀暯曽崻偺杮幙揑惈奿偺懱尡揑棟夝傪懀偡悢妛揑妶摦偵娭偡傞尋媶---嫵幒偵偍偗傞儐乕僋儕僢僪偺屳彍朄偺傾僀僨傿傾偺敪惗偲揥奐---亁 (扨挊)亀戞38夞悢妛嫵堢榑暥敪昞夛榑暥廤亁擔杮悢妛嫵堢妛夛丆2005丆pp265-270
嬈亃嘆暯惉17擭11寧丗僐儊儞僩乽侾擭丂傂偒偞傫乮俀乯乿亀怴偟偄嶼悢尋媶亁No.418丂pp49
敪亃嘆暯惉17擭俋寧丗How Can We Understand the Relationships between the Interaction and the Learning in the Mathematics Classroom? : From One Student's Perspective 乮扨挊乯丂An Occasional Paper for The Fourth International Workshop of Mathematics Education Research with Prof. Dr.Heinz STEINBRING, Hiroshima International Plaza ( September 10, Saturday / 2005)
嘇暯惉18擭侾寧丗亀暯曽崻偺杮幙揑惈奿偺懱尡揑棟夝傪恾傞庼嬈偺奐敪揑尋媶丗侾擭栚偺尋媶庼嬈偲俀擭栚偺尋媶庼嬈偺斾妑傪捠偟偰暘偐偭偰偒偨偙偲亁慡崙悢妛嫵堢妛夛 戞23夞尋媶敪昞夛,孎杮戝妛嫵堢妛晹,乮 2006.侾.28(搚) --29(擔))
嫟摨尋媶偺幚巤忬嫷
嘆乽嫵幒傪嫆揰偲偟偨乿嫤摨揑悢妛嫵嵽奐敪尋媶曽朄榑偺峔抸丗乽悢妛偺柺敀偝乿偵徟揰傪偁偰偰乿丂戙昞幰丗娾嶈丂峗乮忋墇嫵堢戝妛彆嫵庼乯丂忋墇嫵堢戝妛乽尋媶僾儘僕僃僋僩[堦斒尋媶]乿宱旓
嘇乽妋棪奣擮偺妶摦揑丒懱尡揑棟夝傪恾傞嫵庼扨尦偺椪彴揑奐敪尋媶乿丂戙昞幰丗娾嶈丂峗丂暯惉17擭搙丂戝妛丒戝妛堾偵偍偗傞嫵堳梴惉悇恑僾儘僌儔儉乮嫵堳梴惉GP乯乽儅儖僠僐儔儃儗乕僔儑儞偵傛傞幚慔椡偺宍惉乿宱旓
妛夛妶摦傊偺嶲壛忬嫷摍
嘆擔杮悢妛嫵堢妛夛弌斉晹姴帠
嘇暯惉17擭俇寧25擔乣26擔丗慡崙悢妛嫵堢妛夛 戞22夞尋媶敪昞夛弌惾
嘊暯惉17擭俋寧10擔乣13擔丗The Fourth International Seminar of Mathematics Education 弌惾
嘋暯惉17擭10寧29擔乣30擔丗擔杮悢妛嫵堢妛夛 戞38夞悢妛嫵堢榑暥敪昞夛弌惾
嘍暯惉18擭侾寧28擔乣29擔丗慡崙悢妛嫵堢妛夛 戞23夞尋媶敪昞夛弌惾
仢摿怓丒嫮挷揰摍
丂偙傟傜偺尋媶偼丆乽嫵幒傪嫆揰偲偟偰乿愱栧傪堎偵偡傞尋媶幰偲尰応偺嫵堳偲偑嫤摨偟丆嫵幒偱幚尰壜擻側嬶懱揑側悢妛嫵嵽偲偦偺巜摫朄傪奐敪偡傞揰丆尰応偺嫵堳偑扨側傞嫤椡幰偱偼側偔僼儖儊儞僶乕偱偁傞揰丆尋媶偺夁掱偦傟帺懱偑棟榑偲幚慔偲偺娫偺幚幙揑側憡屳嶌梡揑僒僀僋儖偱偁傞偲摨帪偵丆尰嵼恑峴拞偺幚慔偵峷專偟傛偆偲偟偰偄傞揰摍偵摿怓偑偁傞丅崱擭搙偼丆摿偵丆偙偺幚慔尋媶傪妀偲偟側偑傜丆忋墇嫵堢戝妛尋媶僾儘僕僃僋僩偲偟偰丆偙偺尋媶曽朄榑傪乽嫵幒傪嫆揰偲偟偨乿嫤摨揑悢妛嫵嵽奐敪尋媶曽朄榑偲偟偰惛鉱壔偟丆愱栧傪堎偵偡傞尋媶幰偲偺嫤摨偺壜擻惈偵偮偄偰扵媶偡傞偲偲傕偵丆杮妛偺嫵堳梴惉GP傊偺庢傝慻傒偲偟偰丆尰応偺暋悢偺悢妛壢嫵堳偲尰怑媦傃妛懖堾惗丆幚柋壠嫵堳偲偺嫤摨偺壜擻惈偵偮偄偰柾嶕偟偼偠傔偨偲偙傠偱偁傞丅
丂
亙幮夛偲偺楢実亜
幮夛揑妶摦忬嫷
嘆怴嶼悢嫵堢尋媶夛(搶梞娰)丂僐儊儞僥乕僞乕
嘇亀嫵堢幚慔尋媶亁戞16廤乮忋墇嫵堢戝妛妛峑嫵堢憤崌尋媶僙儞僞乕乯偵偍偗傞[嶼悢丒悢妛]晹栧偺嵏撉媦傃怰嵏埾堳
嘊暯惉17擭俈寧丗妛峑恾彂娰巌彂嫵桜島廗乮妛廗巜摫偲妛峑恾彂娰乯偺島巘傪柋傔偨丅
嘋暯惉17擭俉寧丗戞87夞慡崙嶼悢丒悢妛嫵堢尋媶乮挿栰乯戝夛 彫妛峑晹夛偵偍偗傞巜摫彆尵幰傪柋傔偨丅
嘍暯惉17擭11寧丗戞49夞忋墇嶼悢丒悢妛嫵堢尋媶夛乮捈峕捗乯戝夛 拞妛峑晹夛偵偍偗傞巜摫彆尵幰傪柋傔偨丅
嘐暯惉18擭俀寧丗捁庢導嫵堢埾堳夛媦傃捁庢悢妛嫵堢尋媶夛庡嵜偺島墘夛偺島巘傪柋傔偨丅
丂
崅丂嫶丂丂丂摍乮彆嫵庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
丂妛晹丆戝妛堾偺庼嬈偲傕僔儔僶僗偵庼嬈偺曽恓傪婰嵹偟丆嵟弶偺庼嬈偺僆儕僄儞僥乕僔儑儞偱庼嬈偺擔掱傗撪梕丆昡壙偺曽朄傪帵偟偨丅妛晹偺庼嬈偱偼丆昁梫偵墳偠幚慔偱偺僩僺僢僋僗傪庢傝忋偘,嫵嵽傊偺帇揰偲巕偳傕傊偺帇揰偺憃曽傪埖偆傛偆偵偟偨丅妛晹丆戝妛堾偺庼嬈偲傕偱偒傞尷傝妛惗偑妶摦偡傞帪娫傪愝偗丆妛惗偺敪尵傪庢傝忋偘丆媍榑偺婡夛傪愝偗偨丅惉愌昡壙偵偁偨偭偰偼丆儗億乕僩偺撪梕傪廳帇偟丆懡妏揑偵昡壙偟偨丅
尋媶巜摫
丂妛晹惗偵偼丆悢妛嫵堢偺婎慴棟榑偵娭偡傞媍榑偺婡夛傪愝偗傞偲偲傕偵丆嶼悢丆拞妛峑悢妛丆媦傃崅峑悢妛偵偍偗傞幚慔揑壽戣偺柧妋壔偲夝寛偵岦偗偰偺曽嶔偺扵媶傪偝偣丆嫵堢幚廗傪怳傝曉傞婡夛傪愝偗偨丅廋巑壽掱堾惗偵偼丆幚慔帠椺傪摜廝偟偮偮丆悢妛嫵堢偺婎慴棟榑傪扵媶偡傞婡夛傪愝偗偨丅偝傜偵丆婎慴棟榑偲幚慔椺偲傪寢傃晅偗棟榑榞慻傒傪巇忋偘丆僨乕僞偺廂廤偲丆夝庍丆峫嶡傪峴偆偨傔偺巜摫傪偟偨丅
仢摿怓偁傞揰媦傃崱屻偺専摙壽戣摍
丂嫵堳偲偟偰偺嫵梴偲幚慔椡偲傪崅傔傞偙偲偵攝椂偟偨丅庼嬈偱埖偆撪梕偑婎慴揑側抦幆偱偁傞応崌傕丆幚慔椺傪庢傝忋偘側偑傜偱偒傞尷傝巕偳傕偺妶摦偲巜摫偲偵娭楢偯偗偨丅偦偺娭楢偯偗傪捠偟偰丆妛惗傗堾惗偺敪尵傪堷偒弌偟丆妛惗傗堾惗偺愊嬌揑側妶摦傪懀偡傛偆偵偟偨丅妛惗傗堾惗偑摨偠庼嬈偵嶲壛偟丆偦偺嶲壛傪捠偟偰妛惗偲堾惗偲偑岎棳偟丆媍榑偡傞婡夛傕愝偗偨丅
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
榑亃嘆暯惉18擭俁寧丗亀悢妛揑抦幆偺幚嵼惈偲抦傞偙偲亁乮扨挊乯忋墇悢妛嫵堢尋媶丂戞21崋丂13-20
妛夛妶摦傊偺嶲壛忬嫷摍
嘆暯惉17擭10寧29擔乣30擔丗戞38夞悢妛嫵堢榑暥敪昞夛
仢摿怓丒嫮挷揰摍
丂揘妛揑側峫嶡偐傜偼偠傔丆恖娫偺悢妛揑妶摦傪夝庍偟丆怴偨側娤揰傪摫擖偟側偑傜峫嶡偟偰偄傞丅偙偺暘栰偺尋媶偲偟偰偼愭嬱揑偱丆撈憂惈偑崅偄偲峫偊傞丅偝傜偵丆幚慔偵偮側偑傞帇揰傪愝偗偨丅
丂
亙幮夛偲偺楢実亜
幮夛揑妶摦忬嫷
嘆暯惉17擭俉寧俆擔丆俇擔丂戞87夞丂慡崙嶼悢丒悢妛嫵堢尋媶丂乮挿栰乯戝夛巜摫彆尵幰
嘇暯惉17擭11寧15擔丂戞49夞忋墇嶼悢丒悢妛嫵堢尋媶乮栩忛乯戝夛巜摫彆尵幰
丂
扟丂愳丂抭丂岾乮彆嫵庼乯
丂
亙嫵堢妶摦亜
庼丂嬈
丂妛晹偺庼嬈偱偼丆崅摍妛峑偵偍偗傞妛廗僐乕僗偺慖戰偺巇曽偵傛傝丆弶曕偺旝暘愊暘妛傪廋摼偡傞婡夛偑柍偐偭偨妛惗偵懳偟偰傕旝暘愊暘妛丒夝愅妛偵恊偟傒撻愼傫偱栣偆堊偵丆捈姶揑偱嬶懱惈傪傕偮摫擖揑側椺枖偼椺戣傪懡偔庢傝忋偘丆偦偺悢妛揑側堄枴傪廫暘偵棟夝偱偒傞傛偆偵怱妡偗偨丅 戝妛堾偺庼嬈偱偼丆妛晹惗偱廋摼偟偨乽慄宍戙悢妛乿丆乽旝暘愊暘妛乿偵懕偄偰昁梫嵟掅尷偺抦幆偲偟偰梫媮偝傟傞乽旝暘曽掱幃乿丆乽僼乕儕僄媺悢乿摍傪挌擩偵夝愢偟丆墘廗帪娫傕廫暘偵愝偗偰妛惗偺棟夝傪怺傔傞偙偲偵攝椂偟偨丅
尋媶巜摫
丂妛晹俁擭師惗俁柤偵懳偟偰偼夝愅妛偺婎慴傪丆戝妛堾廋巑壽掱堾惗侾柤偵懳偟偰偼旝暘曽掱幃偺怳摦棟榑偵偮偄偰尋媶巜摫傪峴偭偨丅
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
榑亃嘆Oscillation criteria for a class of higher order nonlinear differential equations, Memoirs on Differential equations and Mathematical Physics丆37乮2006乯丆pp.137-152乮扨挊乯
嘇On the structure of positive solutions of a class of fourth order nonlinear differential equations, Annali di Matematica Pura ed Applicata,185乮係乯乮2006乯丆pp.521-536乮嫟挊乯
嘊Nonoscillatory half-linear differential equations and generalized Karamata functions, Nonlinear Analysis, Theory, Methods & Applications丆64乮2006乯丆pp.762-787乮嫟挊乯
嘋Oscillation and nonoscillation theorems for a class of even order quasilinear functional differential equations, to appear in Journal of Inequalities and Applications 乮嫟挊乯
嘍Comparison theorem for perturbed half-linear Euler differential equations, to appear in Functional Equations, Integral Equations and Differential Equations with Applications 乮嫟挊乯
敪亃嘆暯惉17擭俈寧: On oscillation of higher order nonlinear differential equations, EQUADIFF 11, International Conference on Differential Equation in Slovakia.
嘇暯惉17擭俉寧: Oscillation and nonoscillation theorems for a class of even order quasilinear differential equations, Conference on differential and difference equations and applications in U.S.A.
嘊暯惉18擭俀寧: 抶傟宆敿暘慄宍娭悢旝暘曽掱幃偺 Karamata 娭悢夝偵偮偄偰, 怳摦棟榑儚乕僋僔儑僢僾 亅 徏嶳 2006.
嫟摨尋媶偺幚巤忬嫷
嘆旕慄宆忢旝暘曽掱幃偺慟嬤夝愅偲偦偺墳梡偵娭偡傞尋媶
尋媶戙昞幰丗 塅嵅旤峀夘乮峀搰戝妛彆嫵庼乯 壢妛尋媶旓曗彆嬥
嘇庡梫晹偑旕慄宍旝暘嶌梡慺偱偁傞崅奒旕慄宍忢旝暘曽掱幃偺夝偺峔憿偺尋媶
尋媶戙昞幰丗 杮恖丂壢妛尋媶旓曗彆嬥
妛夛妶摦傊偺嶲壛忬嫷摍
嘆俉寧30擔乣31擔丗峀搰戝妛偵偍偗傞旝暘曽掱幃僙儈僫乕弌惾
仢摿怓丒嫮挷揰摍
丂旝暘曽掱幃偺怳摦棟榑偺暘栰偱枹偩尋媶偝傟偨偙偲偺側偄乽崅奒偺旕慄宍旝暘嶌梡慺傪帩偮旕慄宍旝暘曽掱幃偺夝愅乿偺尋媶偵拝庤偟丆偦偺尋媶惉壥偺朑夎晹暘偵偮偄偰忋婰偺奀奜尋媶廤夛偵偍偄偰島墘傪峴偄岲昡傪攷偟偨丅
丂
壀丂嶈丂惓丂榓乮彆丂庤乯
丂
亙嫵堢妶摦亜
庼丂嬈
丂乽悢妛揑宱尡偲妛廗夁掱乿偱偼丆妛惗偑彨棃妛峑尰応偱嶼悢丒悢妛傪巜摫偡傞嵺偵丆嫵嵽偺攚宨偲側傞朙偐側悢妛揑宱尡傪帩偭偰偄傞偙偲偑昁梫晄壜寚偩偲峫偊丆幚嵺揑懱尡揑妶摦傪捠偟偰丆嫵嵽偵娭傢傞抦幆偺僱僢僩儚乕僋傪妛惗偑棟夝偱偒傞傛偆岺晇偟偨丅偲傝傢偗丆惓懡柺懱傪戣嵽偲偟偰丆俆庬椶偺惓懡柺懱偑憡屳偵旤偟偔娭學偟偰偄傞偙偲傪棟夝偡傞偨傔偺嫵嬶乵惓懡柺懱偵娭偡傞嫵嬶乶傪嶌惉偟偨丅乽寁嶼婡悢妛墘廗乿偱偼丆妛惗偺峫偊曽偵増偭偰僾儘僌儔儉偑姰惉偡傞傛偆偵彆尵傪峴偭偨丅乽幚慔僙儈僫乕乿乽幚慔応柺暘愅墘廗乿偱偼丆堾惗偑峴偭偨儅僀僋儘僥傿乕僠儞僌偵娭偟偰丆悢妛嫵堢妛揑偵堄枴偯偗傞傛偆偵丆僐儊儞僩偵攝椂偟偨丅傑偨丆乽悢妛嫵堢妛摿榑乿偱偼丆幚嵺偺庼嬈応柺偺價僨僆嫵嵽傪傕偲偵偟偰丆巜摫偺慻傒棫偰丆巕偳傕偺妛廗夁掱偵偮偄偰島媊傪峴偭偨丅
尋媶巜摫
丂悢妛嫵堢妛偺廋巑榑暥嶌惉偵偍偄偰丆僨乕僞傪堄枴偯偗傞棟榑揑帇揰偺採嫙傗丆暘愅偺巇曽偵娭偟偰彆尵傪峴偭偨丅傑偨丆暥專徯夘側偳傕峴偭偨丅
仢摿怓偁傞揰媦傃崱屻偺専摙壽戣摍
丂巜摫偺摿怓偼丄嫵堳懁偺堄恾傪僩僢僾僟僂儞揑偵妛惗傗堾惗偵揱偊傞偺偱側偔丆壜擻側尷傝丆妛惗傗堾惗偺堄恾傪偔傒庢偭偰丆摉帠幰偺棫応偐傜妶摦傪堄枴偯偗偨傝丆師偵昁梫側帇揰傗妶摦傪帵嵈偟偨揰偵偁傞丅偙偆偟偨巜摫偼丆妛惗傗堾惗偺嫽枴丆娭怱傪堷偒婲偙偟側偑傜丆摉帠幰偺擻椡傪崅傔傞偙偲偵宷偑傞偲峫偊傜傟傞丅崱屻傛傝傛偄巜摫傊偲崅傔偰偄偒偨偄偲峫偊偰偄傞丅
丂
亙尋媶妶摦亜
尋媶惉壥偺敪昞忬嫷
榑亃嘆暯惉17擭10寧丗亀Characteristics of 俆th graders' logical development through learning division with decimals亁乮嫟挊乯Educational Studies in Mathematics, 60, pp.217-251
嘇暯惉17擭10寧丗亀悢妛嫵堢偵偍偗傞婰崋榑揑楢嵔偵娭偡傞峫嶡 亅Wittmann偺嫵庼扨尦偺暘愅傪捠偟偰亅亁乮嫟挊乯垽昋戝妛嫵堢妛晹婭梫, 52, 乮侾乯, pp.139-152
嘊暯惉18擭俁寧丗亀堦偮偺嫵幒偺宲懕揑娤嶡傪捠偟偰傒偨傾儊儕僇戞俈妛擭偺悢妛庼嬈偺摿挜亁乮扨挊乯忋墇嫵堢戝妛悢妛嫵幒, 忋墇悢妛嫵堢尋媶, 戞21崋, pp.21-30
敪亃嘆暯惉17擭俋寧丗亀Reconstructing the unit 乬four operations with positive and negative
numbers乭 from the perspective of the transition from arithmetic to algebra亁乮扨挊乯The
Forth International Workshop of Mathematics Education Research with Prof.
Dr. Heinz Steinbring. Hiroshima International Plaza.
嘇暯惉17擭10寧丗亀傾儊儕僇偺悢妛嫵堢偵偍偗傞儂僢僩側尋媶壽戣亅嫵堳梴惉僔僗僥儉偲尋媶曽朄榑亅亁乮扨挊乯擔杮悢妛嫵堢怱棟尋媶妛夛, 暯惉17擭搙尋媶廤夛. 嶳棞戝妛嫵堢恖娫壢妛晹
嫟摨尋媶偺幚巤忬嫷
嘆慡懱榑偺棫応偐傜偺拞妛峑悢妛傊偺愙懕傪堄恾偟偨嶼悢偺庼嬈奐敪偵娭偡傞尋媶丂戙昞幰丗壀嶈惓榓乮忋墇嫵堢戝妛彆庤乯壢妛尋媶旓曗彆嬥
嘇嶼悢偲悢妛偺愙懕偵偍偗傞俀偮偺堦斒壔偵娭偡傞奐敪尋媶 乗撪曪揑堦斒壔偲奜墑揑堦斒壔偵娭偡傞擣抦榑揑丒婰崋榑揑峫嶡乗丂戙昞幰丗娾嶈廏庽乮峀搰戝妛嫵庼乯壢妛尋媶旓曗彆嬥
嘊乽嫵幒傪嫆揰偲偟偨乿嫤摨揑悢妛嫵嵽奐敪尋媶曽朄榑偺峔抸亅乽悢妛偺柺敀偝乿偵徟揰傪偁偰偰亅丂戙昞幰丗娾嶈峗乮忋墇嫵堢戝妛彆嫵庼乯暯惉17擭搙忋墇嫵堢戝妛尋媶僾儘僕僃僋僩宱旓
嘋妋棪奣擮偺妶摦揑丒懱尡揑棟夝傪恾傞嫵庼扨尦偺椪彴揑奐敪尋媶丂戙昞幰丗娾嶈峗乮忋墇嫵堢戝妛彆嫵庼乯暯惉17擭搙戝妛丒戝妛堾偵偍偗傞嫵堳梴惉悇恑僾儘僌儔儉乮嫵堳梴惉俧俹乯
妛夛妶摦傊偺嶲壛忬嫷摍
嘆暯惉17擭俉寧俆擔丗戞87夞慡崙嶼悢丒悢妛嫵堢尋媶乮挿栰乯戝夛弌惾
嘇暯惉17擭俋寧10擔乣13擔丗戞係夞悢妛嫵堢崙嵺僙儈僫乕弌惾
嘊暯惉17擭10寧28擔丗擔杮悢妛嫵堢怱棟尋媶妛夛丆暯惉17擭搙尋媶廤夛弌惾
嘋暯惉17擭10寧29擔乣30擔丗擔杮悢妛嫵堢妛夛戞38夞榑暥敪昞夛弌惾
嘍暯惉17擭11寧15擔丗忋墇悢妛嫵堢尋媶夛弌惾
嘐暯惉18擭侾寧28擔乣29擔丗慡崙悢妛嫵堢妛夛戞23夞尋媶敪昞夛弌惾
嵼奜尋媶偺忬嫷
嘆暯惉17擭侾寧16擔乣俈寧15擔丗傾儊儕僇僥僱僔乕廈償傽儞僟價儖僩戝妛乮扴摉嫵姱 Patrick Thompson 嫵庼乯
仢摿怓丒嫮挷揰摍
丂妶摦慡斒傪捠偠偰偺摿怓偼丆嶼悢丒悢妛嫵堢偵偍偄偰偦偺槰棧偑楌巎揑偵傕尰忬偵偍偄偰傕條乆偵巜揈偝傟偰偄傞彫妛峑偐傜拞妛峑傊偺堏峴婜傪僞乕僎僢僩偲偟偰丆偙偺堏峴婜偵偍偗傞槰棧傪杽傔傞庤偩偰傪椪彴揑偵奐敪偡傞偙偲偵偁傞丅傑偨丆椪彴揑尋媶偺曽朄偺奐敪帺懱傕丆尋媶偵偍偄偰廳帇偟偨偙偲偱偁傞丅嬶懱揑偵偼丆償傽儞僟價儖僩戝妛偺戝妛堾丒戝妛偺島媊丒墘廗偵嶲壛偟偰丆婎杮揑側棟榑揑抦尒傪妛傇偲偲傕偵丆僫僢僔儏價儖巗撪偺儈僪儖僗僋乕儖偱偺庼嬈娤嶡傪宲懕揑偵幚巤偟偨丅偙傟傜傪尦偵偟偨Thompson嫵庼偲偺條乆側媍榑傪捠偟偰丆椪彴揑側嫵堳梴惉偺庤朄偵偮偄偰懱尡揑偵妛傫偩丅
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亙幮夛偲偺楢実亜
幮夛揑妶摦忬嫷
嘆乽嫵堢幚慔尋媶乿偺嵏撉幰
嘇暯惉17擭俉寧俆擔丗戞87夞慡崙嶼悢丒悢妛嫵堢尋媶乮挿栰乯戝夛偺拞妛峑晹夛偱偺巜摫彆尵
嘊暯惉18擭侾寧14擔丗忋墇悢妛嫵堢尋媶夛偱島巘
仢幮夛傊偺婑梌摍
丒巜摫彆尵偱偼丆庼嬈幰偺堄恾傪愊嬌揑偵堄枴偯偗傞偲偲傕偵丆巜摫朄偵娭傢傞懠偺帇揰傪採嫙偟偨傝丆僼儘傾偐傜偁偑偭偨媈栤偵壜擻側尷傝墳偊傞搘椡傪偟偨丅尋媶夛偺島巘偱偼丆偱偒傞尷傝妛峑尰応偵栶棫偮嫵嵽傪榖偺拞偵惙傝崬傒丆夛偵嶲壛偟偰偄傞曽乆偲堦弿偵嫵嵽傪懱尡偡傞偙偲傪帋傒偨丅奣偹丆尰応偺嫵巘偨偪偐傜岲堄揑側昡壙傪捀偄偨丅
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