《等差數(shù)列前n項和公式及其運用》說課稿（Before the N and arithmetic formula and its application releases）

1、等差數(shù)列前n項和公式及其運用說課稿（Before the N and arithmetic formula and its application releases）This is an obstacle to learning this lessonSo teaching should be familiar with the definition of arithmetic progression and general formulaGive it a brief explanationAnalysis in laymans terms3, motivation and interest

2、In the classroom, fully mobilize the enthusiasm of studentsStimulate the most powerful motivation from the student bodyClear learning objectivesFour, teaching process analysisClassroom structure of the teaching process: reviewing questionsImport and lectureClass practiceConsolidate the new lessonAss

3、ign assignments, etc1, the introduction of the story (creation of the situation)Question:As shown in the picture, there is a stack of steel tubes stacked in V shapeThere are 100 at the bottomGo up a little at each levelThere is one at the topHow many roots are stacked in this pile of steel pipes?Ana

4、lysis: the number of pipes from top to bottom is respectively:1,23,4100 (arithmetic progression),.Total number of steel tubes:S=1+2+3+4+. +100=? (the first 100, and S100=?)How do you calculate this sum?The famous mathematician Gauss (German 1777-1855) at the age of ten at a fast rate calculated by t

5、his formulaat that timeThe math teacher was in classWrite on the blackboard. The 1+2+3+4+. +100=.?Said: this lesson we will count this formula.Look whos the fastestThe fastest man will get a pen as a reward!The words have just finishedWe will Shua to forget themLess than a minuteThe teacher found ou

6、t that Gauss had stopped writingAsk him: why not? Ive worked it out, Gauss saidDo you know how Gauss calculates?Commentary: by citing examplesTell a storyTurn the teaching content into a potentially significant problemLet the students have a strong problem consciousnessThe students entire learning p

7、rocess becomes speculation and then intense meditationExpect to find the reasons and the proof processAt the same time stimulate students interest in learningIntroduce the subject naturally2, the subject (the sequence and)(1) definition(2) before the N summation formula and arithmetic sequenceOpposi

8、te exampleWe can take a more intuitive solution:Suppose theres another stack of identical steel tubesPut the two piles togetherDemo with courseware animation1+100=1012+99=101100 layer100+1=101Summation formula: (formula 1)Commentary: by example to solve that the class of new knowledge: summation for

9、mula before the N and the arithmetic sequence3. Examples of applications of the formula (projection)When youre talking about an exampleNot only in how to solveWhat is the reason for this solution?And in a timely manner on problem-solving methods and laws summarizedConducive to students thinking abil

10、ity4, ability training (projection topic)Teacher guidanceStudents discuss and solveExercise 1: according to the following conditionsAnd before the n items and the corresponding arithmetic sequence(1) a1=5, an=95, n=10; (2) a1=100, d=-2, n=50;Exercise 2: a theatre set up 20 rows of seats, with 38 sea

11、ts in the first row, each row later than the former two rows of seats. The theater set a total number of seats?Commentary: classroom exercises enable students to consolidate and consciously use what they learn and how to solve problemsAt the same time, train students to apply knowledge to solve prac

12、tical problems5, summarize the conclusionStrengthen understandingA brief summary of the intellectual contentThe knowledge that can be taught in class can be changed into students quality as soon as possibleA brief summary of mathematical thought and methodIt can make students more deeply understand

13、the position and application of mathematical thinking methods in solving problemsAnd gradually develop the students good personality quality goals6, blackboard writing design1: definition: example analysis (exercise)2 summation formula:(1)(2)7. Assign homeworkHierarchical training is carried out acc

14、ording to the difference of students qualityEven if students master the basicsAnd let the students who have enough learning to improveFive, teaching reflectionThis lesson mainly import and examples of arithmetic progression before the N formula and practice two partsBecause the students have poor fo

15、undationUnderstanding and receptivity are not strongSo Im in the process of teachingThe key and difficult partCombination of numbers and shapesAdopt visual teaching method to explainIn order to help students understand and acceptAt the same time in TeachingI follow from special to generalFrom the ea

16、sy to difficult principle to design the content of classroom teachingIts easier for students to acceptIn my teaching language as much as possible the use of rhetorical statements to inspire students thinkingActive classroom atmosphereGood interaction between teachers and students has been achievedThe inadequacy of this lessonThere are not many examples of lifeThere is not enough time for students to practice in classExtracurricular