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Teaching design of mathematical orientation in the first volume of the fifth grade of primary school
Teaching objectives:

1. Make students know the meaning of the following columns and rows in a specific situation, know the rules for determining which columns and rows, and initially understand the meaning of number pairs, and use number pairs to represent the position of objects in a specific situation.

2. Make students experience the process of abstracting a specific seat into a floor plan represented by columns and rows, improve their abstract thinking ability and develop the concept of space.

3. Make students experience the close relationship between mathematics and life, and further enhance their awareness of observing life from the perspective of mathematics.

Teaching process:

First, situational import

1, Dialogue: We hold parent-teacher conferences every semester. If your father comes to the parent-teacher conference, how will you tell him where you are in the classroom?

2. Call the students to report, and the default answer is: (1) I am sitting at the second table in the first group; (2) I sit in the middle of the classroom; I sit in the fifth row against the wall. The teacher commented on the students' answers one by one.

Point out: one condition is not enough to determine your position, at least two conditions are needed.

Dialogue 3: Today I'm going to learn a simple and novel method to determine the location. You want to know what it is?

Second, the new curriculum teaching

1, teaching example 1

(1) Draw an example diagram and ask: This is the seating diagram of a class. What do you see from the chart?

After the students answered, they continued to ask: Who can tell us about Xiaojun's position?

Default answer: (Xiaojun sits fourth and ranks third vertically; Xiaojun sits in the fourth row)

Instruct students to count from where to where.

Question: If you don't know Xiaojun's position, can you find Xiaojun's position smoothly after listening to that classmate's speech just now?

Dialogue: These methods are all correct, but do you think there are any shortcomings in describing Xiaojun's position in this way?

Default answer (unclear, troublesome)

(2) Position is indicated by number pairs.

Show me the abstract diagram and say: Just now we turned the diagram into an abstract diagram. Can you still find the position of Xiaojun?

Line 5 00000000

Line 4 00000000

Line 3 00000000

Line 2 ○ ○ ○ ○.

Line1○○○

First, first, first.

1 2 3 4 5 6

Column column column column column column column column.

Dialogue: actually, when determining the position, the vertical row is called column, and the number of columns is generally counted from left to right;

Horizontal row is called horizontal row, and the first half of horizontal row is determined from front to back (referring to blackboard writing).

What column and line is Xiaojun's position? (4th column from left to right, 3rd line from front to back)

A position like this can be represented by a number pair (4, 3).

Let the students talk about their understanding of (4,3)

Summary: (4 4,3) indicates the third row of the fourth column. Such a number pair contains two numbers, the first number indicates which column and the second number indicates which row. The two numbers are separated by commas and brackets.

(3) Position is indicated by number pairs.

Courseware presentation problem: Find out the position of the fourth row of the second column in the abstract diagram, and what is represented by a number pair?

Say the students' names to answer and let other students comment.

Continue to show the problem: (6, 5) Show the position of which column and which row in the picture above.

Say the students' names to answer and let other students comment.

Go back to the teaching diagram of example 1 Talk: Xiaojun still has several good friends. Can you show their positions by numbers?

Name the students and ask them to say what they mean.

2. Situational teaching

(1) Dialogue: We just learned to use number pairs to indicate the location, so before the parent-teacher meeting, can you tell your parents the location in this way? We stipulate that we should start from the podium, and the first line and the second line are from front to back respectively. Starting from the door of the classroom, the teacher's direction is the first column and the second column from left to right. Please think in pairs about how to express your position.

(2) Talk at the same table and tell me about the right number represented by your position.

(3) Name the students, talk about their positions and numbers, and then comment.

(4) Activity: Show the students in pairs and ask them to stand up (1, 4) (4,3) (2,2) (5,1) (7,5) (9,6).

Comments: Why?

2. complete the "exercise".

(1) Students finish in the book 1.2.

Can you find the position of column 2, line 4? How to express a number pair?

(2) What does (5,5) mean? Which circle is it in the picture?

Do two "5s" mean the same thing?

Third, consolidate the practice.

1. Complete Exercise 3, Question 1.

How many rows and columns are there in the classroom? Which student's seat is 1 column and 1 row? How to express it by number pairs? Can you tell me which row and column your seat is in? How to express it by number pairs?

Talk to each other in the group and point to other seats and say a few pairs.

2. Complete Question 2 of Exercise 3.

In real life, we often use number pairs to determine the position.

Can you accept number pairs to indicate the position of these four tiles?

Follow-up: Do the two tiles in the third column have the same characteristics?

When the two tiles in the fourth row are represented by number pairs, what are the similarities between the two number pairs written?

Two tiles in the same column have the same number as the first tile in several pairs;

For tiles in the same row, the second number in several pairs is the same.

3. Complete the third question.

(1) Use several pairs to represent the position of each tile independently.

(2) What are the rules for the placement of communication tiles in the group?

(3) Report the communication results.

Fourth, class summary.

What did you gain from today's study? What do you think will guide you in the future by learning how to determine the position with numbers?

Blackboard design:

Use digital pairs to determine position.

Vertical rows are called columns, and horizontal rows are called rows.

The first number in the number pair indicates which column and the second number indicates which row;

These two numbers are separated by commas, and they are enclosed in brackets.