谈高中学生数学语言转化能力的培养

例谈高中学生数学语言转化能力的培养A1A0A2A3A4A5A6A4A7A8A9A10A11A12A13A14A15A16A17A18A20A21A19A22A23A24A25A26A27A28A29A30A31A32A16A33A34A36A35A37A17A20A4A5A38A39A40A7A8A42A43A41A7A8A44A45A46A7A8A16A47A48A49A50A51A38A52A53A54A16A55A56A58A57A0A59A25A17A60A31A32A61A62A44A63A64A20A21A19A65A64A66A67A68A6A4A7A8A9A10A11A12A16A69A70A71A72A21A19A22A38A2A252A74A73A58A75A1687A77A3A23A57A59A76A25A74A78A79A6A4A7A8A9A10A11A12A16A80A81A83A82A84A82A841A85A86A87A88A89A90A91A92A93A94A95A96ABX|XA97A,XA97B,A98XAB,A99ABAAABBCABDAA100BA101A102A101A1022A103A104A105A106A107A108A109A110A111A112A113A114A115A116A117A118A119A120A121A122A105A123A124A111A125A126A106A105A127A128A123A117A129A130A131A132A123A133A134A135A103A136A1373A138A139A1400,0,0CBAA141A142A143A144A145A146A147A148A149A150A151A152A153A154A155ACCABCCBABBA222222A156A157A158A159A160A161A162A163A164A165A166A167A168A169A170A171A172A173A174A1701A175A176A177A178A179A180A181A149A182A183A184A185A170,A168A186A187A169A188A189,A190A191A175A192A193A194A195A196A197A198A199A152A182A183A160A200A201A184A185A154A202A203A204A192A172A159A205A206A174A1702A175A192A193A194A195A196A197A152A172A159A205A206A184A185A207A182A183A205A206A149A203A208A198A209A141A210A211A212A170A149A213A214A215A216A217A218A149A219A220A221A174A1703A175A152A222A223A205A206A184A185A174A170,A224A225A174A170A226A227A228A229,A230A231A232A216A205A206A233A234,A190A191A192A193A194A195A196A197A152A222A223A205A206A207A172A159A205A206A203A204A149A235A196A236A237A198A2091A238A239A240A241A242A243A244A245A246A238A239A241A242A243A244A247A248A249A250A251A252A253A254A255A1371A4A0AA25116A77A20A0BA25118A77A20A0CA25129A77A20A0DA25124A77A20A39A0A247A1A2A3A5BA25118A77A4A20A183A6A711A8A9A10A11A12A13A14A15A16A17A18A19A21A22A23A188A24A252A26A9A27A28A29A30A31A32A337A8A34A194A35A36A37A9A38A40A41A42A3223A8A34A40A198A32A43A44A45A46A47A47A48A19A34A204A205A49A205A35A50A34A207A51A52A53A54A55A56A57A16A17A32A58A34A52A98A44A59A60A40A61A19A34A62A30A31A63A64A65A32A66A67A68A69A101A32A46A70A71A72A34A33A101A66A193A58A73A74A24A25A75A76A32A78A79A28A29A83“A80A81A82A8454A32A81A85A17A86A87A88A34A230A89A90A91A92A2331,0A234A93A2331,3A234A93A2334,3A234A93A2333,2A234A93A2334,1A234A93A2333,0A234A93A2331,0A234A61A38A32A111A94A32A16A17”A188A24A253A151A95A32A91A51A96A97A36A99A34A44A201A84A80A100A102A24A25A26A34A24A253A63A212A34A151A95A32A91A51A183A63A103A34A91A51A9A27A104A105A106A16A100A107A17A108A109A59A110A112A32A759A8A34A241A241A113A56A97A32A114A115A34A244A116A117A77A67A68A69A215A105A207A248A78A79A64A65A32A118A72A83BCCBABBA22220,0,0CBACAACCA222ACCA22A91A51A119A120A24A251A32A151A95A91A51A96A97A121A122A123A124A125A126A127A128A129A130A131A132A133A134A135A136A138A139A140A141A133A134A142A143A144A145A146A147A148A149A133A150A158A152A153A154A155A156A157A123A159A133A160A161A131A162A163A164A141A133A165A166A167A168A169A246A170A171A133A140A141A131A162A123A159A172A173A174A175A133A176A162A123A159A131A177A178A179A180A140A141A145A181A182A184A185A186A187A189A190A191A192A195A196A197A145A199A200A202A140A1412A145A203A206A208A161A209A210A211A145A213A214A216A217A218A219A136A133A220A221A154A123A159A222A223A224A225A145A226A139A166A227A219A218A133A131A228A229A231A232A235A133A236A134A166A227A246A237A238A239A171A202A140A1413A145A203A206A208A161A240A223A242A134A243A136A245A133A247A210A211A249A250A145A170A245A145A157A133A220A221A154A123A159A187A251A252A224A225A226A139A253A222A223A224A225A145A166A227A254A255A133A157A158A236A165A166A209A140A141A145A239A12A173A181A133A131A14A212A0A170A145A246A162A210A211A39A1A2A255A236A60A3A145A4A223A208A5A42A6A254A157A197A197A145A208A161A44A178A80A133A210A211A171A238A159A145A4A123A224A225A226A139A166A227A246A237A238A239A1712对策研究21加强文字语言简单化训练，培养信息收集和处理能力数学中的文字语言转化能力主要体现在数学应用题上，而应用题中的文字语言收集能力主要在阅读理解能力上，要提高阅读理解能力关键做到三点（1）通读从头到尾将文字语言通读一遍，读的过程中，既看条件又要看结论，既看整体又要看部分，明确问题的目标（2）研读在通读的基础上，仔细搜寻、捕捉、收集题中的信息，抓住关键字句，理解本质含义（3）转化（化归）阅读题目时，将文字信息中的概念、条件、符号、数量、公式及方法等，通过联想将其转化（化归）到相关知识中去阅读的过程中，要做到边读边联想边化归例1一种抽奖游戏机是这样设计的游戏机中有五个球洞，抽奖者通过选择开关任选其中的一个洞作G1038中奖洞，G9994G2530G6365G2563G2172开关，游戏机G1427G5389G1998五个G18337量G2520G1038100G1823的G4579球，这G1135G4579球G13475过G5379G5379G7366G7366的通G17959G19555机G3332G14865到五个洞中，G5415G14865到中奖洞中的G4579球G17241过280G1823时，G4613G1262G16314及中奖开关，游戏机G1427G1262G2469G1998中奖信号，G2532G1998奖G2709，G16843问这种游戏机中奖的概G10587是G3822G4581G731本题G1972G1058G1852部信息G18129是G11013文字语言G13485G1998的，解G1927G8504题关键是通过通读、研读文字信息G5194将其化归G1038G6502G2027G13464G2524G2656概G10587问题题中5个球G14865G18495个洞中，G1861有1264915155CCG5785G5430G727G14865到中奖洞中的G4579球G18337量G17241过280G1823，转化G1038中奖洞中G14865G18493个、4个G61225个球，G2029分G2047G1038103514142CC、4、1种G5785G5430G6164G1209这种游戏机中奖的概G10587是4251261410文字语言转化能力的G3533G1871应从G19283计G16770，G7101抓、G4466抓、抓G3921、抓G10294要从高一开G3999抓，G993能等到高三G6177抓，G993能G16760G1038G1177做G1972G17959应用题G4613是抓G1114，要在学G10995G2520G12197学G1076的过程中抓，要在学G10995的G1144G8981G16764论中抓，要在学G10995G12050G1262G4466G17353中抓，要在学G10995的研G12362G5627学G1076中抓G5647G1055，抓要细G8712G19283G8981，抓要G9520G12239G21676化22加强图形语言符号化训练，培养抽象概括能力G3282G5430语言是一种G16282G16285语言，G4439G1867有G5430G16949G5627G2656G11464G16278G5627，而符号语言是一种G6524理语言，G4439G1867有G1946确G5627、G1017G4506G5627、抽G16949G5627G2656概G6336G5627G11013G1122G3282G5430语言G2656符号语言G2520有其G14270G17535G10317点，G6164G1209在问题G15932G17860、问题解G1927G2656数学G5617想G1144G8981过程中，G18129要将其转化G1038符号语言在G3282G5430语言转化符号语言的过程中，G6117G1216应G7693G6466G6164G13485G3282G5430的G10317点G2656G5627质，将其G19556含在G3282G5430G9157G3800的本质的G1008G16211G6378G6508G1998G7481，G5194将其符号化例G3926G3926G7588G7669高一G18618个G10689，将G8611G3837G6183扫卫G10995收集G7481的废纸G2656废塑料卖G13485废G2709收购站，G6164得G7481的钱G1852部捐G13485环保部门，G1038治理沙漠献一份爱心，G3926G32824G1038高一年级G7588G10689一周收集废G2709的G5785况，G7693G6466G3282中的信息，预测高一年级一周收集废纸G2656废塑料的数量G2520G1038（）（双休日G993计）A12000G1823、8000G1823B8000G1823、12000G1823C2400G1823、1600G1823D1600G1823、2400G1823本G17959题是G1209同学G1216非常熟悉的日常G10995活中的切G17535体验G1038背景素材，将G6164有的数G6466G2656信息G18129赋予G3282G5430中，是G1038G1114考查学G10995G16278察G2656收集G3282G5430信息的能力，G5194将收集G7481的信息G2656数G6466进行加工G3800理，G11013G3282G5430信息G993难求得G7588G10689一周收集废纸G2656废塑料的数量分G2047G10381500G1823、1000G1823，而该年级有8个G10689，故选（A）G5415前，高中数学教学过程中对G3282G5430语言向符号语言转化G18337G16282G993够，训练较G4581，学G10995对G8504种问题G3800理的方法G2656能力还很欠缺，问题2的测试结果G4613是一个例证G6164G1209，今G2530的数学教学应加强这方面的训练，G7481达到G3533G1871抽G16949概G6336的能力23加强符号语言图形化训练，培养数学建模的能力G7693G6466心理学的理论，人脑信息的储存主要有语言G2656G5430G16949两种，但G5430G16949的容量应是语言的上百倍G6164G1209，在G7588G1135方面，G3282G5430语言有符号语言G6164G993能及的优越G5627在数学教学中，在抓G3921G5430译数的同时，更要抓G3921数化G5430，使学G10995能将大量的符号语言迅速正确G3332转化成G3282G5430语言，借助G3282G5430的G11464G16278G5430G16949的G10317点，进行G16278察、记忆、联想G2656分析，G7481解G1927问题比G3926大部分教师在讲解一元高次G993等式0321XXX的解法时，除G1114用分类G16764论法外还在数轴上用序轴标G7693法向学G10995讲解，G5194且学G10995对序轴标G7693法掌握的很G10294再G3926，若21XXF且BA，求证BABFAFG6117G1216应引导学G10995G1101321XXF的结构，将其看作G11464角坐标系上两点,10,0XAO、的距离而BA可G1209看作,1,1BBAA、两点的距离，故G11013三角G5430两边G1055差G4579G1122第三边可证G5415G9994，还可G1209将其看作是双G7366线122XY的上支，BABFAF是G4439上面任G5859两点,AFAG994,BFBG17842线G7024G10587的G13489对G1552，考G15397G9188G17829线G7024G10587G2375可证得对G1122符号语言转化G1038G3282G5430语言，在G5191时的教学中G6117G1216在G5859的很G3822，训练的G1075相对到G1313，G1972G1058G6164有的数G5430结G2524G5617想的训练G18129集中在G4439上G6164G1209，G8504种能力的训练应讲G12362方法，G993应G19764题G9035G7481G2474G14000教学过程中，G3926果