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小学数学双语教学Primary SchoolMathematics Bilingual Teaching培养未来数学思维与语言能力的双向桥梁目录Contents123教学目标与意义数学基础知识点双语教学策略Teaching ObjectivesSignificance BasicMathematical KnowledgeBilingual TeachingStrategies45互动练习与思考总结与延伸Interactive ExercisesReflection教学目标Teaching Objectives掌握核心数学知识Master coremathematical knowledgeat primary school level培养数学思维与语言表达能力Develop mathematicalthinking andlanguage expressionskills促进中英文数学术语理解与应用双语教学的优势Advantages ofBilingual Teaching双重能力提升跨文化交流能力激发学习兴趣与自信心语言与数学能力同步发展,互相促进,形成培养学生国际视野,增强在多元文化环境中多元教学方式提高学习积极性,成功的双语认知优势的沟通能力表达带来成就感Simultaneous developmentof Cultivateinternational perspectiveDiverse teachingmethods increaselanguageand mathematicalabilities,and enhancecommunication in learning enthusiasmand successfulcreatingcognitive advantagesmulticultural environmentsbilingual expressionbrings asense ofachievement第一章数与代数Chapter1:NumbersAlgebra数的认识Number Sense认识数字10-100Recognizing numbers0-1002数字的英文表达English expressionsfornumbers数字排序与比较3通过双语互动游戏和视觉辅助,帮助学生建立扎实的数感基础,为后续数学学习奠定基础Number orderingBuilda solidfoundation ofnumber sensethrough bilingualandcomparison4数字游戏interactive gamesand visualaids,laying thegroundwork forNumber Bingosubsequent mathematicallearning.Number games:NumberBingo基本运算Basic Operations加法减法Addition Subtraction5+3=88-2=6Five plusthree equalseight Eightminus two equals six五加三等于八八减二等于六乘法除法Multiplication Division×÷43=12102=5Four timesthree equalstwelve Tendivided by twoequalsfive四乘三等于十二十除以二等于五通过中英文对照教学,帮助学生掌握四则运算的概念和表达方式,建立双语数学思维例题演示Example Problem中文题目小明有个苹果,妈妈又给了他个,他现在有多少个苹果?53English:Xiaoming has5apples.His mothergives him3more.How manyapples doeshe havenow解题步骤Step-by-step solution01理解问题寻找已知数量和未知数量Understanding theproblem:Identify knownand unknownquantities02分析问题这是一个加法问题Analyzing theproblem:This is an additionproblem03列式计算5+3=8Setting upand calculating:5+3=804表达答案小明现在有个苹果8Expressing theanswer:Xiaoming nowhas8apples数学词汇Math Vocabulary第二章几何Chapter2:Geometry基本图形Basic Shapes圆形三角形正方形长方形Circle TriangleSquare Rectangle圆是由一个闭合曲线围成的图形,三角形是由三条线段连接而成的封正方形是一种特殊的四边形,四条长方形是一种四边形,对边平行且其特点是圆上任意一点到圆心的距闭图形,有三个边和三个角边长度相等,四个角都是直角相等,四个角都是直角离相等A triangleis aclosed shapeA squareis aspecial Arectangle is a quadrilateralAcircle isa shapeformed byformed bythree line segments,quadrilateral withfour equalwith oppositesides parallelaclosed curvewhere allpoints havingthree sides and threesidesand four rightangles.and equal,andfourrightare equidistantfrom theangles.angles.center.图形特征Shape Properties边角Edges Angles边是连接图形顶点的线段角是由两条射线共享一个端点形成的图形An edgeisalinesegmentthatconnects verticesof ashape.An angleis formedbytworayssharing acommon endpoint.三角形有条边•3Triangles have直角°°3edges•=90Right angle=90正方形有条边平角°•4Squares have•=180Straight angle°4edges=180面Faces面是立体图形的平面部分A faceisaflat surfaceof athree-dimensional shape.立方体有个面•6Cubes have6faces金字塔有个面•5Pyramids have5faces形状分类Shape Classification按边数分类按角度分类Classification byNumber ofSides Classificationby Angles三边形边锐角°Triangles3/sides Acuteangles90四边形边直角°Quadrilaterals4/sides Rightangles=90五边形边钝角°Pentagons5/sides Obtuseangles90六边形边Hexagons6/sides互动游戏请学生找出教室里的各种形状,并用中英文正确命名这种实践活动有助于学生将抽象几何概念与现实世界联系起来Interactive game:Ask studentsto findvarious shapesin theclassroom andname themcorrectly in both Chinese and English.This practicalactivity helpsstudentsconnect abstractgeometric conceptswith thereal world.第三章测量Chapter3:Measurement长度Length认识测量工具尺子Ruler卷尺Tape measure长度单位实际测量活动示范厘米centimeter cm选择合适的测量工具
1.米meter m
2.确定起点和终点读取数值并记录
3.用中英文表达测量结果
4.单位换算Measurement activitydemonstration:1Choose米厘米1=100appropriate measuringtools;2Determine startand endpoints;3Read and record values;4Express resultsin1meter=100centimetersboth Chineseand English重量Weight1kg1000g千克克Kilogram Gram千克是重量的基本单位千克克1=1000Kilogram is the basicunit ofweight1kilogram=1000grams双语例题Bilingual Example一个苹果重约克,一个西瓜重约千克如果小红想要背个苹果和个西瓜,150581她需要背多少重量?An appleweighs about150grams,and awatermelon weighsabout5kilograms.If Xiaohongwants tocarry8apples and1watermelon,howmuch weightdoes sheneed tocarry解题思路先计算个苹果的重量(×),再加上西瓜的88150g=1200g=
1.2kg重量(),得到总重量()5kg
1.2kg+5kg=
6.2kg时间Time时间的英文表达Expressing Timein English整点On thehour三点整3:00-Its threeoclock时钟的组成部分时针()、分针()和秒针()hour handminute handsecond hand半点Half past三点半3:30-Its halfpast three分钟Minutes三点一刻3:15-Its quarterpast three三点三刻3:45-Its quarterto four练习用英文说出现在的时间,以及你的日常活动时间表这种实践有助于学生将时间概念与日常生活联系起来第四章数据与概率Chapter4:DataProbability数据收集Data Collection设计调查问题Design surveyquestions例你最喜欢的水果是什么?Example:What isyour favoritefruit收集数据Collect data采访同学并记录回答Interview classmatesandrecordanswers整理数据Organize data将收集的信息填入表格Fill thecollected informationinto atable分析与呈现Analyze andpresent用图表展示结果并用双语描述Display resultswith chartsand describein bothlanguages通过亲自参与数据收集过程,学生能够更好地理解数据的来源和意义,为后续的数据分析奠定基础图表Charts条形图饼图Bar ChartPie Chart步行自行车公交车私家车其他Walking BicycleBus CarOthers读图与分析引导学生观察图表,比较数据大小,找出最大值和最小值,并用完整的中英文句子描述图表所呈现的信息Chart readingand analysis:Guide studentsto observecharts,compare datasizes,find maximumand minimumvalues,anddescribe theinformation presentedin thecharts usingcomplete sentencesinbothChineseandEnglish.概率Probability不太可能Unlikely概率小于不可能
0.5Impossible概率为Probability
0.50Probability=0可能性相等Equal chance概率等于
0.5Probability=
0.5一定会发生Certain概率为1很可能LikelyProbability=1概率大于
0.5Probability
0.5简单概率游戏使用骰子、硬币或彩色球进行概率实验,让学生预测结果并用概率术语描述通过亲身体验,学生能够直观地理解概率概念Simple probabilitygames:Use dice,coins,or coloredballs forprobability experiments,letting studentspredict resultsand describethem usingprobability terminology.Throughhands-on experience,students canintuitively understandprobability concepts.双语教学策略BilingualTeachingStrategies语言支持Language Support关键词汇预教互动提问与讨论Pre-teaching keyvocabulary Interactivequestioning anddiscussion课前介绍重要数学术语设计不同层次的问题••创建双语数学词汇墙鼓励用第二语言回答••使用词汇卡片辅助记忆给予足够的思考时间••Introduce importantmathematical termsDesign questionsof differentlevels,encouragebefore class,create bilingualmath vocabularyanswers inthe secondlanguage,and providewalls,and usevocabulary cardsto aidsufficient thinkingtime.memory.视觉辅助Visual aids使用图片、图表直观展示概念•手势和肢体语言辅助表达•实物演示加深理解•Use picturesand chartsto visuallydemonstrateconcepts,gestures andbodylanguage toaid expression,and physicaldemonstrationsto deepenunderstanding.为学生创造丰富的语言环境,帮助他们克服语言障碍,建立数学概念与语言表达之间的联系文化融合Cultural Integration中国传统数学故事《九章算术》是中国古代重要的数学著作,包含了许多实用数学问题和解法,反映了中国古代数学的实用性特点The NineChapters onthe MathematicalArt isan importantancient Chinesemathematicalwork thatincludes manypractical mathematicalproblems andsolutions,reflecting thepractical characteristicsof ancientChinese mathematics.西方数学发展历程从古希腊的欧几里得几何到现代数学理论,西方数学强调逻辑推理和抽象思维,对全球数学发展产生深远影响From Euclideangeometry in ancient Greeceto modernmathematical theories,Western mathematicsemphasizes logicalreasoning andabstract thinking,having aprofoundimpact onglobal mathematicaldevelopment.通过介绍不同文化背景下的数学发展,帮助学生理解数学是人类共同的智慧结晶,培养学生的跨文化意识和全球视野By introducingmathematical developmentsfrom differentcultural backgrounds,helpstudents understandthat mathematicsisthecrystallization ofhuman wisdomand cultivatestudentscross-cultural awarenessand globalperspective.课堂互动Classroom Interaction小组合作Group Collaboration异质分组,优势互补•分配明确角色与任务•鼓励双语交流与合作•创设积极的课堂互动环境,激发学生学习兴趣,提高参与度通过多样化的活动角色扮演Role Play形式,为学生提供应用数学知识和语言的实践机会模拟购物场景练习计算•Create apositive classroominteraction environmentto stimulate扮演小老师讲解数学概念•students interestin learningand increaseparticipation.Through创设真实语言应用情境diversified activityforms,provide studentswith practical•opportunities toapply mathematicalknowledge andlanguage.数学游戏Math Games数字卡片游戏•几何形状识别比赛•数学知识问答竞赛•评估与反馈AssessmentFeedback书面练习口头问答Written Exercises课堂作业、单元测验、应用题解答Oral QAClassroomassignments,unit quizzes,课堂提问、数学概念解释、口头计算application problemsolvingClassroom questioning,explanation of项目评估mathematical concepts,mental arithmeticProjectAssessment数学小报告、实际测量项目、数据调查报告Math mini-reports,practical measurementprojects,data surveyreports自我评价同伴互评Self-Assessment学习日志、自我反思、进步记录Peer Assessment小组内互相评价、互相纠错、共同进步Learning journals,self-reflection,progress recordsMutualevaluation withingroups,errorcorrection,and collectiveprogress多元评估方式可以全面了解学生的学习情况,及时发现问题并给予针对性指导在评估中注重双语表达能力的培养,鼓励学生用两种语言表达数学思维课堂案例分享Case Study北京某小学三年级双语数学课堂实录A bilingual mathematics classrecording froma third-grade classroominaBeijing primaryschool课前准备Pre-class Preparation教师提前准备双语词汇卡和视觉教具,创设生动的学习环境导入新课Introducing NewContent通过实物展示和生活情境引入分数概念,激发学生兴趣概念讲解Concept Explanation结合图示和实物,用中英文交替讲解分数的意义和表示方法互动练习Interactive Practice学生分组完成分数表示任务,用双语描述所代表的部分与整体关系总结评价Summary andEvaluation教师引导学生用双语总结学习内容,表扬积极参与的学生学生反馈通过双语学习,学生不仅掌握了分数概念,还能用英语自信地表达数学思维,学习兴趣明显提高资源推荐Resources双语数学词汇表在线互动数学平台推荐书籍与视频Bilingual MathVocabulary ListOnline InteractiveMath PlatformsRecommended Booksand Videos包含小学阶段常用数学术语的中英文对照,配有推荐支持双语切换的数学学习网站和应用程序,《数学就是这么简单》系列绘本、《神奇校车》发音指导和使用示例帮助学生和家长建立准确如可汗学院()、数学探险系列、数学科普视频等,寓教Khan AcademyIXL MathTED-Ed的数学语言等,提供丰富的视频教程和练习题于乐,激发学习兴趣Contains Chinese-English comparisonof RecommendedbilingualmathematicsPicture bookseries Mathis JustThatcommonly usedmathematical termsat learningwebsites andapplications,such Simple,Magic SchoolBus maththeprimaryschoollevel,with asKhan Academy,IXL Math,etc.,adventure series,TED-Ed mathpronunciationguides andusage examples.providing richvideo tutorialsand popularizationvideos,etc.,combiningHelps studentsand parentsestablish practiceproblems withlanguage educationwith entertainmenttoaccurate mathematicallanguage.switching options.stimulate interestinlearning.这些资源可以作为课堂教学的有益补充,帮助学生在课外继续巩固和拓展数学知识,同时提高语言能力鼓励家长参与,共同支持孩子的双语数学学习总结Summary双语数学教学不仅是两种语言的简单结合,更是促进学生全面发展的有效途径通过精心设计的教学活动,学生能够同时掌握数学知识和语言表达,拓展认知边界
1.培养逻辑思维和跨文化交流能力,为未来发展奠定基础
2.建立积极的学习态度和自信心,享受数学学习的乐趣
3.鼓励教师持续探索创新教学方法,家校合作共同支持学生的双语数学学习之旅谢谢聆听Thank You!欢迎提问与交流联系方式与后续支持Welcome QuestionsDiscussion ContactFurther Support分享您的想法和经验,共同探讨双语数学教学的更多可能性电子邮件math@bilingual.edu.cn教研组微信群小学数学双语教学资源共享平台www.bilingual-math.cn。
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