高中數(shù)學(xué)“數(shù)列”單元的教學(xué)設(shè)計.pdf

1、蘇州大學(xué)碩士學(xué)位論文高中數(shù)學(xué)“數(shù)列”單元的教學(xué)設(shè)計姓名：高莉芳申請學(xué)位級別：碩士專業(yè)：學(xué)科教學(xué)（數(shù)學(xué)）指導(dǎo)教師：鮑建生20071101InstructionalDesignon“NumberSequence”inHighSchoolMathematicAbstrctInstructionalDesignon‘NumberSequence’’inHighSchoolMathematicAbstrctNumbersequenceisakey

2、contentinschoolmathematicscurriculmItrelatesmanytopicsinschoolmathematics，whichincludesnumberexpressionequationandfunctionsAnditiSalSOafoundationofsomemathematicstopicsstudentswouldmeetinthefutureSo，theinstructivedesigno

3、fnumbersequencewillhelpteacherstolearninstructivedesignandputthelearningtheoryintopracticeTherearemainlytwopartsinthispaper111efirstistoanalyzethemeaning，basictheories，basicnaturesandmodesofinstructivedesignthroughlitera

4、turereviewInthispart，theauthoralsobrieflyintroducetherelatedresearchesonteachingandlearningofnumbersequence，suchasthenewcurriculum，thebigideasofnumbersequence，etcThesecondpartofthisdissertationiscasestudywhichincludefftr

5、eeteachingcasesThefirstcaseisthefirstlessonintheunitwhichfocusconceptunderstanding。硼豫casequestionsinclude：(1)Howdoesthepriorknowledgyaffectstudents’learningofnumbersequence(2)Howtousetheconceptualvariations(whichincludes

6、ample，standardsvariationsandnonstandardsvariations，positivevariationsandnegativevariations)intheteachingofnumbersequence(3)HowtodividethecognintvelevelsoftheunderstandingofnumbersequenceconceptsThetitalofthesecondc鷸eis“S

7、umofnumbersequence”whichmainlyfocusontheacquisitionofskillsofnumbersequenceTheresearchquestionsinclude：(1)Whatmathematicalskillsarerelatedtothelearningofnumbersequence(2)Howtohelpstudentstoacquiretheseskills(3)Doespracti

8、cereallymakeperfect(4)Howtolearninghigherordermatematicsskillsbejondbasicskills111e衄rdcaseaimsatthedevelopmentofstudents’mathematicsexplorationthroughawellknowgamecalled“TowerofHanoi”T11iScasewillfocusthefollowingfiveque

9、stions：(1)Whythenewstandardsencouragestudentstodomathematics(2)Whatarethecaricteristicsofmathematicsexplorativeactivities(3)Howtoassessalessononthelevelofexploration(4)HowtouseITinmathematicsteachingandlearing(5)Whatkind

10、ofteachingstrategiesshouldtheteachersdevelopinordertohelpstudentstodomathematicsBased011theaboveanalysisandcasestudies，theauthorfinallygivesomesuggestionsabouttheteachingandlearningofnumbersequenceaswellasteachingprofess