作者|申君毅

sheying|wangjinkui、liuhongchao

shandongyougeleixuexiao3.77wansuo，geleizaixiaosheng1989wanren，jiaozhigong150wanren，qizhongbufayouxuduoyouxiudejiaoshi、xiaozhang，haiyoupeiyangchuxuduoguozhidongliangdemingxiao，weilexuanchuandianxing、biaozhangxianjin，shandongshengjiaoyutinglianhefenghuangwang、jiemianxinwen、pengjuchuanmeigongtongfaqi“qilumingshi·mingxiao·mingxiaozhanggaoduanfangtan”xiliehuodong。tongguomingxiaoxunli、mingshifangtan、duihuamingxiaozhangxiliezhutihuodong，congjinanqidong，16gedishixunli，chongfenzhanxiangedishigegaoxiaodefazhanlicheng，fenxiangjiaoshuyurendejingyanchengguo，fajuebanxuezhixiaodexianjinlinian，jijidazaoqilumingshi、mingxiao、mingxiaozhangzheisanminggongcheng、sanmingpinpai、sanmingliangdian。

dai16gedishifangtanjieshuhou，jiang“weiraozongjieshifanxinchengguo，fuwushandongjiaoyuxinfazhan”，zuohaohuodongchengguodetilianzongjie，haodejingyanzuofazaiquanshengjinxingtuiguang，ba“yizhiduxiu”biancheng“manyuanchunse”，ranggaoduanfangtanhuodongchengweixiangdangdangdejiaoyuxuanchuanpinpai。

aishijiaoyudelinghun，zhiyourongruleaidejiaoyucaishizhenzhengdejiaoyu。duiyudongyingshiyanxiaoxuejiaoshiweiruixialaishuo，zhengshiyinweidui“aiyuwusheng”zheiyijiaoyuqinghuaiyouzheshenrudeganwu，cainengzaijiaoyudaolushangzhaodaoshuyuzijideyuren“hangbiao”。

congchaoqipengbodeqingcongsuiyuedaorujinbinjiaoyishengbaifadenianji，weiruixiayijingzaijiaoyuzheipianretuzhishangqinqinkenkengengyunlesanshisizai，zaizheiyiwanduogeririyeyeli，weiruixiaganwuzuiduodejiushi：dangchu，xuanzedanglaoshishiduide！suizhesuiyuedepeiban，yanjiudeshenru，weiruixiayijingweijiaoyuzheifenshiyepaoxialezijisuoyouderechen。

chengqiyipiantiandi，huyuhaizichengzhang。benqirangwomenyitongzoujindongyingshiyanxiaoxue，zoujinzheiweiyongaixuxiejiaoyugushi，yongxindakaihaizimentongzhenxinlingdejiaoyuzhe。

促进孩子心智成长

确立探索数学模型思维教育的初心

yiweiyanzhongyouguang、linghunyouaidelaoshihuiyingxianghaizideyisheng！yehuizaitayouxiaodexinlinglimianbozhongxiamengxiang、bozhongxiaxiwang、bozhongxiaaidezhongzi！chushengyunongcundeweiruixiacongxiaojiuqingchudezhidao，zhishihuishigaibiantayishengmingyundeshijie，xingyundeshitazaiqiuxueshiyudaole“yanjingyouguang”“linghunyouai”dehaolaoshi，zheiyerangweiruixiazaixindizhongxialezhijiaodezhongzi。

1986nian6yuedi，weiruixiashifanbiye，huaichuaizhetanteyoujidongdexinqingtatianbaoledongyingshidegongzuozhiyuan，congci，dongyingchengweileweiruixiadiergeguxiang。

huiyiqirenjiaodediyitangke，weiruixiawenroudebiaoqinglitouluchuyidianxiuse，dangshihaibumanshibasuideweiruixia，gezibugao，shencaishoushouxiaoxiao，banjilisanfenyidehaizidoubitagezigao，danghaizimenyiweitashixinlaide“tongxue”shi，tayouxiekuxiaobude。danshidangshangkelingxiangqishi，tahaishiangshouzixindezoushanglesancunjiangtai，yinweishifenchongzudezhunbei，rangtahuodelehaizimenzhenchengderenke，kandaohaizimentianzhenmengdongyouduizhishichongmankewangdeyanshen，weiruixiaananjuedingyidingyaochengweiyiminghegede“tongxuelaoshi”！

jiaoshizheigezhiyeshiteshude，taxuyaomianduideshiyiqunhuopoyoutianzhendelinghun，weilemanzumeiyicijiaoyushijiandezhankai，jiaoshidejiaoseyeyaoshishikekezuochudiaozheng，suoyi，30duonianlai，weiruixiarenweizijidejiaoseshi——yishi、yiyou、yijiaren！

jiaoxuezhishishi，shilaoshi，chuandaoshouyejiehuo；

fenxiangjingyanshi，shixuesheng，renzhenqingting；

kejianyouxishi，shipengyou，hubanghuzhu；

haizifancuoshi，shidaoshi，xunxunshanyou；

haizichenggongshi，shihuoban，fenxiangkuaile；

haizishoucuoshi，shijiaren，xixinhehu；

…………

zongeryanzhi，yuaitongxing，weiruixiapengzheyikexinjiangzijifengxianjizheiqunkeaidehaizimen，yong“fuze”laidafushengming，yongrechenyongbaojiaoyu。

模型思维教育

为孩子智慧成长提供核心素养支架

huiguduonianlaidejiaoxueshengya，huiguyuhaizimendechaoxixiangchu，sihunaohailimeiyizhenpianduandoushiyouai、youhuanxiaodemoyang。congbumanshibasuide“jiejie”laoshi，manmantuobianweiyige“ayi”laoshi，houlaichengzhangweiyiming“mama”laoshi，xianzaigengxiangshiyiming“nainai”laoshi！weiruixiashizhongdailingzheyiqunchunzhen、keaidehaizimen，yiqixiangshouzhe“youxishuxue”“huodongshuxue”“gushishuxue”“huihuashuxue”“shenghuoshuxue”delequ！

“rangmeigehaizijianjiankangkangdichengzhang，kuaikuaileledixuexi！”shiweiruixiayizhijianshoudejiaoyulinian，shuxuezuoweiyimenxiangduichouxiangkuzaodexueke，weiruixiaweilejiangzheimenkejiangdeshengdongtouche，ranghaizimenxihuan，duonianyilai，weiruixiajituanduichizhiyihengdijinxingzheyixiliedeyanjiuhetansuo。

“rangmeigehaizirenrenxihuanxueshuxue，gegeleyiyongshuxue”，weiruixiajiangyixiechouxiang、nandongdeshuxuezhishi，yuhaizimenshuxide、xiwenlejiande、huopoyouqudeyixieshuxueyouxi、shuxuehuodong、shuxuegushi、shuxuedonghua……youjideronghezaiyiqi，yindaoxueshengzai“youxili——wanshuxue”“huodongzhong——zuoshuxue”“gushili——bianshuxue”“huihuazhong——huashuxue”“monizhong——yanshuxue”“shenghuozhong——yongshuxue”。

weiruixiajiang“chouxiangnandongdeshuxue”biande“zhiguanxingxiang”，“jingzhideshuxuefuhao”biande“huolinghuoxian”rangmeigehaizicongxiaoshuliqixuehaoshuxuedexinxinheyongqi，weijinhoudeshuxuexuexidaxiajianshidejishi。

jiaoyudelunhuizhouerfushi，weiruixiazaijiaoyuwotushangganzhiruyi、lecibupidegengyun，zhizhedijianshouzhezijide“jiaoyuchuxin”：“yishengzhizuoyijianshi”——jiaoyuhaoyouyuanxiangshidemeiyigehaizi！“yishengzhijiaoyibenshu”——qianxinyanjiushuxuejiaocaidejiaofaxuefa！

团队成长

嵌入数学模型思维教育研究与实践中

zhumingjiaoyujiayasibeiersishuo：“jiaoyudebenzhiyiweizhe：yikeshuyaodongyikeshu，yiduoyuntuidongyiduoyun，yigelinghunhuanxingyigelinghun。”jiaoyuconglaibushiyigerendeshiqing，2010nianweiruixiamingshigongzuoshichengliyuzheiyiniandechuchunsanyue。

lishisangezhouqi，weiruixiamingshigongzuoshizhengshicaiyong“1+8+n”jizhijinruyunxing。jingguo10duoniandemosuo，tuanduizhubumolianchengweiyigexuexidetuandui、yanjiudetuandui、shijiandetuandui、chuangxindetuandui，gengshiyigetuanjiedetuandui，chongmanzhezhandoulidetuandui。gongzuoshiyi“mingshigongzuoshi”weipingtai，yi“zhutuijiaoshizhuanyefazhan”weizhongren，zaizhuanjiayinling，tongbanhuzhuheziwofansizhong，gongzuoshichengyuanzoujinshineidegegegongzuozhan，qianshoushengneiwaidegedagongzuoshi，zhujianxingchengleyou“dian”dao“xian”，you“xian”dao“mian”dewanggezhuang、litishidehezuogongtongti。

weiruixiamingshigongzuoshizaizishenjianshe、zhuanyefazhan、shifanyinling、chengguoxianxiandengfangmianjunqudezhongdachengxiao，xianhoubeishandongshengzonggonghui、shandongshengjiaoyutingpingwei“shandongshenglaomochuangxingongzuoshi”“shandongshenggongrenxianfenghao”“qilumingshilinghanggongzuoshi”deng6xiangchenghao，gongzuoshijingyanzaishengneiwaituiguangjiaoliu。

mianduirongyuhekending，weiruixiaxiaozheshuodao：“bunengweirongyuerhuo，gengbunengbeirongyusuolei！womenbixuduideqi‘jiaoshi’zheiyishenshengchenghao！”taqingxingdezhidaozijihuoxuzaitianfen、nengli、jiajingfangmianbingbushizuiyouxiude，danzaitaqueshizuizhizhede，tajianxin：zaijiaoyuzheitiaodaolushangzijibutingbufadibenfujiunengmodaoxingfu，bucixinlaodigengyunjiuhuiyousuoshouhuo！

xindeshidai，fuyuxindeshiming！xianrujin，weiruixiazhiliyufazhanxueshengde“shuxuemoxingsiwei”，dajianqihaizizhihuichengzhangdesiweizhijia。er“weiruixiaqilumingshilinghanggongzuoshi”yeyizhanxindemianmao，benfuxindejiaoyuzhengcheng，kaiqixindejiaoyupianzhang！zhanwangweilai，weiruixiayidingjiangburushiming，xiangzhelupaijiaoyujiademengxiangyangfanqihang！