We choose the five-year "Location" published by People's Education Publishing House for research, and discuss how to make students experience the close relationship between mathematics and life in the "Jiageng Culture", further enhance their awareness of observing life from the perspective of mathematics, keep in mind the school motto of "Honesty and Easy", and be a person who treats others sincerely and does things resolutely (the school motto of Jimei Learning Village). Let's introduce it from the aspects of communication and dialogue, concise understanding and sincerity, encouraging hands-on practice and cultivating sincere quality. Establish the ability to develop, internalize and practice honesty; Develop mathematics literacy, build "wuyue" and other links, so that students can infiltrate ideological and moral education in mathematics learning, develop mathematics literacy, not only develop discipline literacy, but also improve moral quality, practice socialist core values, explore how to integrate ideological and political strategies into discipline teaching, and cultivate qualified new talents of socialist modernization.
First, develop emotional education and sincerity through communication and dialogue.
Dialogue is a necessary way to guide effective thinking. In the course "Location", we carefully designed dialogues, gradually guided students to communicate boldly, further developed students' emotional education and sincerity, and cultivated sincerity quality in mathematics.
Case 1:
Teacher: Students, do you know what grade Mr. Lin taught last year?
Student: Grade six.
Teacher: After graduating from the sixth grade, everyone has to hand in a photo, and the uncle in the photo studio will take photos of them at school. Look, they are waiting in line to take pictures. The math class representative is in the fourth place. Who is the representative of math class?
Student: A boy with glasses.
Teacher: It's strange that I only give you a number. How can we determine the position of the math class representative at once?
Health: He pointed to the point on axis 4.
This kind of dialogue design is mainly through presenting the realistic situation of Xiamen Jimei Primary School 1 class photos, activating the existing experience of describing the position of objects in students' minds, making students have the need to express the position consistently, and at the same time feeling the pride of being a Jiageng student, and slowly planting sincere seeds in children's hearts.
Second, strive to explore and advocate the quality of sincerity and persistence.
Primary school mathematics learning thinking can not be separated from related activities such as hands-on operation. Explore in activities, think in exploration, inspire students' sincere quality in their hearts in repeated cognitive conflicts, and start to grow under the thinking of activities.
Case 2:
Teacher: It seems that sometimes a number can determine the location. They took photos and then went back to class. This is the seating chart of their class. Do you know where he is now?
Health: the second in group 4. (blackboard writing)
Teacher: Eh, why should we use two numbers to describe his position at this time?
Teacher: Otherwise, how can you express his position concisely and accurately? Talk at the same table and record the method in the post-it note that the teacher sent you just now.
Health: Record. (The teacher collects some methods to prepare for the demonstration while watching)
Teacher: That's how I collect students' grades. The same is to record his position. There are so many expressions. What are their similarities and differences?
Health: What they have in common is that they all have the numbers 4 and 2.
Teacher: Knowing two data can determine the position on the classroom plane. What is the difference?
Health: Some are expressed in words, some in symbols, and some are concise.
Teacher: Good point! So what exactly do 4 and 2 mean here? In order to facilitate observation and thinking, we use small circles to represent each student. (Show the picture below)
Teacher: The 4 here refers to the fourth vertical row. In mathematics, vertical rows are usually called columns. (blackboard writing) From left to right, here is the 1 column, yes ...
Teacher: Let the horizontal row be called platoon, from bottom to top, this is 1 platoon, this is …
Teacher: Now, two straight lines are used to represent the corresponding rows and columns. They intersect at one point, which is convenient for determining the corresponding positions.
We used the opportunity of activities to make students feel the change, from "horizontal row" and "vertical row" commonly used in the seating chart of Class 6 and Class 4 in Jimei Primary School to "column" and "row" commonly used in mathematics. This is the first mathematization completed in this lesson. For such a "native concept", students can know that the vertical direction is "column" and the horizontal direction is "row" through teaching methods, and with the help of multimedia courseware, students can intuitively understand the law, stimulate their interest in learning and realize the high efficiency of the classroom.
Teacher: Now do you understand the meaning of 4 and 2 here? Somebody say something.
Health: 4 means the fourth column and 2 means the second row.
Teacher: Let's take a look at the way students recorded just now. Which method do you think is the easiest to show his position?
Health: Discussion.
Teacher: Use the number of rows and columns to determine the position of such a point. When writing, write columns first, then lines. The teacher writes (that is, write 4 first, then 2). In order to distinguish each position, put a ","sign between two numbers and brackets outside. We call such two numbers "number pairs" in order.
Teacher: Pointing to the blackboard (4,2): Read wt pairs (4 4,2). Read it in class.
Teacher: What do you think is the advantage of specifying the recording location in this way?
Health: Simple.
Exposure topic: Using two numbers to indicate the position of an object is what we are going to study today. (Title on the blackboard: Determining the position with number pairs)
Change "which column and which row" to "number pair" to indicate the position of students, which is the second "mathematization" to be completed in this lesson. Let students try to simplify the method of expressing position independently, and have group discussion and classroom communication to experience the process of "re-creation" and fully experience the simplicity of "number pair", thus activating students' mathematical wisdom.
Third, cultivate the ability to shape, internalize and practice sincerity.
Mathematics teaching is mainly to cultivate students' mathematical thinking and ability. Moderate abstraction in ability training, internalizing practice and sincerity in abstraction, cultivating students' unity of knowing and doing, and improving students' decisive and strong will. This is also an important way to effectively implement core literacy in subject teaching, and it is the main direction to explore the integration of ideological and political education in the future.
Case 3:
Teacher: In his class, there are three other students who entered a foreign language school like him. They are (the courseware shows the names and positions of the three of them. ) Zhuang XX, Qu XX, Wang XX. Can you show their positions by numbers? Please write it on the exercise paper just sent to you.
Student: Write several pairs of reports: Zhuang×× (1,3).
Teacher: Tell me, what does this number mean?
Teacher: Who can talk about Qu XX and Wang XX?
Health: Qu×× (2,4), Wang×× (3,3)
Teacher: Qu XX and the position of mathematics representatives, the same two data, why don't they represent the same person?
Health: The front indicates the number of columns, and the back indicates the number of rows, so it is very important who comes first and who comes last. After exchanging positions, the corresponding points will be different.
Teacher: The order of the two numbers is different, their meanings are different, and their positions are completely different. Let's look at Wang ×× (3,3). How can these two numbers be the same?
Health: They mean the third column and the third line.
Teacher: Next we are going to play a game. As an observer, the teacher counts from left to right, which is 1 column-
From beginning to end, this is 1 line. Write down your position in pairs and communicate with your deskmate.
(2) student reports. )
Teacher: Write down the location of your good friend and let everyone guess.
(2) student reports. )
Teacher: I want to raise the standards for everyone. I counted correctly. Please stand up quickly if you meet the requirements. Let's see who has the fastest response. (3, 1)(3,2)(3,3)(3,4)(3,5)(3,6)。
Teacher: Why are you standing in a row? Health: Because the number you reported is regular. Teacher: Tell me about it.
Health: these six pairs of numbers are all 3, which means they are all in the third column, so of course they stand up in one column.
Teacher: Yes. Is there any other way to stand? Do you want to try again?
Health: (1,1) (21) (31) (41) (51) (61) (7000)
Teacher: What did you find?
Health: It's a line to stand up this time.
Teacher: There has been a change. Can you tell me why?
Student: Although the number of columns in this octet pair has changed, the number of rows has not changed. They are all 1. The nature that stands out is in the same strain.
Teacher: If I only give a number pair, I can make a group of students stand up. Can you believe it?
Health: Don't believe it!
Teacher: Please look at the question: Number pairs: (4, x) Students who meet the requirements, please stand up.
(The students in the fourth column stand up one after another. The teacher faces the first student)
Teacher: Why are you standing?
Health: X in (4, x) is an unknown number, which can represent 1, 2, 3, 4, etc.
Teacher: Do the students in the back think so? The teacher is going to change the topic again: (x, 6)(x, x)
Teacher: Is the game fun? In fact, the method of determining the position by number pairs is widely used in our lives. Can you give me an example?
The position in the classroom is slightly different from that in the sketch, so we should give guidance first in teaching. Then, by describing the positions and guessing activities of students admitted to foreign language schools, combined with the positions in the classroom, students' understanding of columns, lines and meanings is further consolidated, and their tireless learning spirit is stimulated.
Teacher: The teacher also collected some examples. Let's have a look (at chess, etc.). ). Introduce the latitude and longitude, Typhoon Moranti.
Teacher: You want to know who invented numbers, right? Look at the big screen
Combining the latitude and longitude knowledge of Typhoon Morant, broadening students' knowledge horizons will help students fully experience the extensive application of mathematical knowledge, feel the close relationship between mathematics and life, and lead mathematical thinking to the depths.
Fourth, cultivate core literacy, be concise, open-minded and sincere.
Mathematics core literacy is a subject that every teacher should seriously consider in the new round of curriculum reform. With the implementation of students' mathematical literacy, it is a teaching paradigm to further condense the quality of loving mathematics, cultivate open and sincere character and develop students' good moral sentiments.
Case 4:
Teacher: This is a proverb of two famous people. Let's read it together. Show courseware.
Teacher: Miss Lin has two words hidden in her heart. Can you help her find them according to the number pairs?
Health: Looking for Cheng Yi.
Yes, the word "sincerity" is our school motto. We should keep in mind the motto of "Sincerity and Righteousness" and be a person who is sincere to others and will do things with righteousness. Grandpa Jia Geng founded our school. He also founded Jimei Middle School and Jimei University. Next, please take out the exercises that the teacher sent you and find their positions.
Health: Report.
Teacher: Use your imagination. The teacher said the figures were right. Can you find the points according to the number pairs and imagine what graphs are connected?
(Show the courseware after the lecture. )
Teacher: Keep imagining what kind of triangle point A will become if it moves 2 squares to the right. How about walking two squares to the left?
According to the characteristics of the school, help teachers find "Cheng Yi" according to several pairs of school mottos. Use coordinates to help students find the relative position of Grandpa Jia Geng's founding school, so that students can apply what they have learned, solve life problems and realize the importance of mathematics.
Teacher: What did you gain from this class today?
Teacher: To determine the location, sometimes you need one number, sometimes you need two numbers, so-(show the courseware while talking).
Health: Sometimes three numbers are needed.
How to better implement core literacy in primary school mathematics classroom teaching is the research focus of classroom teaching at present. This paper takes a math class as the starting point to integrate ideological and political education into teaching. The purpose is to explore and practice how to implement moral education objectives in subject teaching, carry out students' ideological and political education, and really make teaching effectively improve students' core literacy, which is also the fundamental task of implementing and implementing "moral education" to a certain extent.