高中生cpfs结构与数学思维的灵活性、深刻性的相关及实验研究

教育硕士专业学位论文高中生CPFS结构与数学思维的灵活性、深刻性的相关及实验研究作者院系指导教师学科专业数学与计算机科学院教授学科教学数学学位论文独创性声明本人郑重声明1、坚持以“求实、创新”的科学精神从事研究工作。2、本论文是我个人在导师指导下进行的研究工作和取得的研究成果。3、本论文中除引文外，所有实验、数据和有关材料均是真实的。4、本论文中除引文和致谢的内容外，不包含其他人或其它机构已经发表或撰写过的研究成果。5、其他同志对本研究所做的贡献均已在论文中作了声明并表示了谢意。作者签名日期学位论文使用授权声明本人完全了解南京师范大学有关保留、使用学位论文的规定，学校有权保留学位论文并向国家主管部门或其指定机构送交论文的G11017G4388G10268和G13452G17148G10268G727有权G4570学位论文用G1122G19762G17206G2045G11458的的G4581G18339G3809G2058并G1813G16780论文进G1849学校G3282G1082G20314G15999G7609G19417G727有权G4570学位论文的内容G13546G1849有关数据G5223进行G7828G13046G727有权G4570学位论文的G7643G20076和G6700G16213G8731G13546G1998G10268。保G4506的学位论文在解G4506G2530G17878用本规定。作者签名日期目录中文G6700G162131G14533文G6700G162132G2081G163404一、课题研究的背景意义41、关注思维发展是社会与人类的发展的需要42、关注思维发展是21世纪教育的四大支柱之重要因素43、关注数学思维发展是我国当前数学教育改革的需要54、关注思维品质培养，是促进学生的智力发展的需要6二、目前研究的状况71、国内外心理学界关于思维品质发展与培养的研究72、国内外关于认知结构的研究83、本课题研究的内容和目标10G12544G980G12468G7234G17902G20652中数学G6957G13958的G10628G1037810一、普通高中数学教育的目标10二、普通高中数学教学的现状分析111、普通高中学生数学思维的现状分析112、普通高中学生数学学习的现状分析14G12544G1120G12468G11468关G10714论研究和实G17353G1393据16一、相关概念的界定161、“认知”、“认知结构”、“数学认知结构”162、CPFS结构理论183、“数学思维”、“思维品质”19二、相关理论研究191、奥苏贝尔的有意义学习理论192、数学建构主义理论203、CPFS结构理论204、心理学中学生的个体差异理论215、问题性思维理论226、数学解题学习中的元认知理论23G12544G989G12468G38G51G41G54G13479构G994学G10995数学G5617G13512G9801G8975G5627、G9157G2063G5627的G11468关研究24一、高中生CPFS结构与数学思维的灵活性、深刻性的相关性研究24二、高二、高三年级学生CPFS结构及数学思维的灵活性、深刻性G7053G19766的差异性研究26三、CPFS结构G4557高中生数学思维的灵活性、深刻性的G5445G272127G12544G3247G12468完G2904个G1319学G1076G5527G10714的G38G51G41G54G13479构的G6957学G12586G11065研究29一、“问题G19154”教学G12586G1106529二、“G6255G19182G5347”教学G12586G1106533三、分G4630教学G12586G1106537四、元认知体G20576及G11429G6523G12586G1106541G1128、知G16794G13605G13488G3282G5347G12586G1106545G12544G1128G12468G38G51G41G54G13479构对学G10995数学G5617G13512G9801G8975G5627、G9157G2063G5627G5445G2721的实验研究49主G16213G2454G13783文献G258G258G25857G19480G541758G2530G16772G258G258625摘要A2A0A1A3A4A7A8A5A6A9A10A11A12A13A16A17A7A18A14A15A19A14A11A20A21A16A24A25A15A7A2A0A11A22A23A16A17A28A26A27A29A30A31A34A11A35A36A32A18A14A33A37A38A39A42A40A41A43A44A45A46A47A48A49A50A51A52A53A54A55A56A57A58A59A60A61A62A53A63A64A65A66A67A68A69A40A65A70A71A72A73A67A74A75A76A77A78A67A79A80A81A44A45A82A83A84A45A85A45A86A80A44A45A67A57A87A88A89A90A91A92A93A74A94A95A96A97A98A81A99A100A101A67A44A45A102A87A40A103A104A103A105A106A87A44A45A107A108A59A109A110A41A111A112A49A44A45A113A114A115A55A56A57A58A67A106A116A117A118A41A119A68A120A89A121A122A74A123A80A124A125A74A126A127A74A128A129A74A130A131A74A132A55A74A133A134A135A57A58A88A136A41A137A111A126A127A124A125A110A64A41A138A102A57A58A139A108A98A81A140A141A41A142A143A144A145A88A89A67A106A146A147A148A41A149A53A54A150A151A67A57A58A88A89A138A152A153A154A155A41A49A156A157A57A58A98A67A152A158A159A160A71A53A54A57A58A67A65A66A61A161A153A162A62A163A164A165A81A166A167A168A169A170A44A45A57A58A67A171A172A173A174A52A175A176A177A41A178A171A172A179A180A181A182A74A183A184A185A134A186A187A188A102A189A44A45A57A58A171A172A75A190A113A191A192A193A50A67A194A93A81A195A196A142A50A197A187A198A44A45A82A83A171A172A199A169A200A56A133A93A201A65A66A202A203A204A205A206A188A44A45A207A208A114A115A111A112A209A49A210A211A75A212A213A162A214A111A112A82A215A67A126A127A201A82A136A67A171A172A41A216A212A217A218A106A219A188A170A45A85A50A45A150A44A45A68A69A40A220A185A57A58A221A222A67A153A90A41A223A216A41A224A198A44A45A82A45A225A95A204A67A226A118A167A227A216A228A41A224A75A229A212A230A231A232A198A44A45A225A95A204A59A198A162A233A82A45A225A95A204A41A216A234A235A212A231A232A169A170A45A150A236A44A45A94A225A67A225A95A81A98A237A113A238A170A239A240A67A94A95A41A210A241A242A153A223A198A243A244A245A246A121A122A204A239A162A44A45A247A73A248A67A94A225A121A122A187A102A40A85A44A45A57A58A67A249A62A106A116A250A159A251A251A252A221A56A74A253A254A56A48A171A172A67A255A161A232A41A236A0A223A162A62A1A163A67A219A2A41A104A171A172A62A118A45A150A89A55A67A198A243A244A245A246A121A122A204A201A102A40A85A44A45A57A58A139A108A67A252A221A56A74A253A254A56A67A48A169A79A80A201A3A4A81A243A5A6A7A119A68A92A8A59A9A10A253A161A126A127A153A102A40A85A44A45A57A58A110A64A59A94A225A121A122A67A158A11A186A187A12A85A239A13A92A93A67A253A14A41A15A50A16A238A17A18A61A19A153A243A244A245A246A121A122A201A102A40A85A44A45A57A58A67A252A221A56A74A253A254A56A67A48A169A171A172A20A61A216A21A22A153A50A102A40A44A45A37A23A82A45A40A24A25A62A118A45A150A89A55A67A198A243A244A245A246A121A122A204A67A82A45A26A27A81A29A185A28A30A140A49A31A32A89A82A45A26A27A98A74A49A92A93A33A98A135A26A27A104A34A61A82A207A198A82A204A67A26A27A41A119A68A49A126A179A79A35A98A74A49A122A36A225A95A156A157A0A98A135A104A34A25A45A85A198A45A204A67A26A27A41A38A168A41A119A68A49A39A40A41A90A93A144A98A74A49A90A93A26A27A42A43A98A135A104A137A111A45A85A67A44A94A225A118A45A187A46A47A26A27A81A49A50A121A129A99A162A101A67A82A45A185A45A171A172A41A50A46A56A171A172A201A46A51A171A172A248A52A121A129A67A238A17A18A53A152A121A133A41A121A175A54A55A62A118A45A150A89A55A67A243A244A245A246A121A122A113A162A56A60A61A45A85A44A45A45A150A67A57A58A67A94A225A121A122A41A198A243A244A245A246A121A122A204A67A24A25A110A248A59A138A102A45A85A44A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