How to do a good job in the final review of primary school mathematics
Hong Tang
The semester is almost over,
The course is coming to an end,
An important task before us is to do a good job in the final review.
Work.
So how to do a good job in the final review,
Help students reduce forgetfulness, enhance memory, and further let students find it in review.
The internal relations and hidden laws between the contents of each part,
Enable students to integrate what they have learned and use it flexibly.
this is true
It is an important link in teaching. Because the review class is not as "fresh" as the new class.
It's not like a practice class.
There is a sense of success.
Instead, it shoulders the heavy responsibility of checking leaks and filling gaps, supplementing and consolidating development. Some teachers think that at the end of the term
Review is to do a few comprehensive papers. If there are any problems, which ones are explained, which ones are omitted and which ones are supplemented, it can improve the academic performance of mathematics.
This way of reviewing actually makes knowledge fragmented.
Not only is it difficult for students to master it systematically,
It is also easy for students to get tired of learning.
Psychology. So how can students organize and review effectively in a harmonious and pleasant atmosphere?
How to make
After the empirical mathematical knowledge and mathematical thinking mode existing in students' minds rise and develop into scientific conclusions,
Let's talk about it below
Some superficial understanding, due to their limited level, will inevitably appear inappropriate, please correct me.
1. Make a feasible review plan.
Fight a prepared battle
Everything is established in advance, and it is abolished if it is not foreseen. Before reviewing,
Should be based on the ability to review and the time spent, carefully develop a
Review the plan, so as to review all the contents step by step in a limited time, and ensure the review effect in a down-to-earth manner.
I think we should organize a practical teaching and research activity before making a review plan.
Gather the strength of many families,
Strive to make through research
Every teacher will:
First, fully understand the students' academic situation,
According to the specific situation of students in this class or this grade,
Give it to students
Basic knowledge,
To master basic skills, you should know fairly well.
Second,
Textbooks are blueprints for review.
We should master the teaching materials well,
Find the right target, find the right key and difficult points, and have a clear aim. Third, the curriculum standard is the basis for review, and teachers must study hard.
Investigate the curriculum standards, grasp the teaching requirements, make the review targeted, purposeful and feasible, and enhance the effectiveness of the review. Compound complex
When studying this plan,
According to the time, it is generally divided into three stages, namely, single review.
Comprehensive training
Consolidation and improvement.
Time allocation is usually based on
The length of review time is about according to
1
1
1
Go on. When reviewing a single item, you can review it by unit or by content.
Textbook integration, such as Unit 2 "Division in Table (1)" in Grade Two.
Division in Table and Unit 4 (2)
"
、
Unit 1, Grade Four
"Four operations" and "Algorithms and Simple Operations" in Unit 3 can separate these.
The content is integrated,
Because they all have internal relations and internal laws in knowledge.
So put these in the comments.
The connected content is integrated,
Students can not only master the inherent laws of knowledge,
It can also make the student system flexible.
Apply what you have learned.
If the first stage is the basis of general review,
Then the second stage is the comprehensive application of the first stage.
this
The first stage focuses on doing some comprehensive training questions.
Through training,
Cultivate students' proficiency and comprehensive ability in using mathematical knowledge.
The third stage is the consolidation and improvement stage.
Through the comprehensive training in the previous stage,
Students' questions are more concentrated.
Teaching again
Learn to study, find out the crux, explain and design exercises in a targeted manner, so as to draw inferences from others and make students
The ability to solve problems has reached a level of proficiency and flexibility.
2. Design flexible and efficient review methods and review each lesson carefully.
As the saying goes, if a worker wants to do a good job, he must sharpen his tools first. If you want to have a good review class, preparing lessons is a prerequisite.
The actual situation and review content, design practical link design,
The selected theme should be new, and the classroom structure should be new and avoided.
Avoid students getting bored.
There are various review methods.
Choose a scientific and efficient one according to your actual situation.
Review methods. Here are some common review methods:
(A) create a situation to stimulate interest
,
Improve review efficiency
Each unit of mathematics has corresponding knowledge points, which are easily forgotten by students over time.
So,
Old knowledge must be reviewed and copied.
When reviewing, you can't repeat the knowledge step by step according to the arrangement of the book.
Or repeat after-school exercises,
In this way, students feel that they are eating cold rice, which is boring, boring and time-consuming.
Low.
So how to improve the teaching efficiency of review class,
My teaching experience is to create situations to stimulate students' review interest.
Make students feel fresh,
Therefore, it is a good measure to actively participate in review with a positive attitude.
Because of the review class
Summary of teaching plan exercises in primary school courseware.
First, second, third, fourth and fifth grade.
Those interesting ones,
Challenge the problem situation,
It is beneficial to stimulate students' desire for review;
Novel, peculiar and vivid
Situation is conducive to attracting students' attention to the review content.
For primary school students,
Different age groups have certain hobbies.
Differentiation. Generally speaking, middle and lower grade students pay more attention to "fun, interesting and novel"
Things, such as: reviewing one
Grade "
100
Internal addition and subtraction can create such a situation: teacher:
"Son, you the other day.
The children had a very happy holiday. What festival? (Children's Day)
On that day, the students all performed a lot.
The program is particularly wonderful. Today, in order to encourage everyone, the teacher prepared some math gifts for the children. Who will touch it?
What can you draw? "
The students are full of interest,
I will participate in the activity immediately.
The teacher will prepare some in advance.
Put the recipe card in the gift box,
Students draw cards from the gift box.
Oral calculation,
And choose different types of questions for students to say one.
Tell me how you worked it out,
Let the students take a formula and paste it on the blackboard.
Then the teacher guides the students to organize in an orderly way.
Love to play,
Love is a child's nature, especially for children in lower grades, to create vivid,
An interesting learning environment is good for children.
A study of children.
This can arouse students' strong interest,
Have a positive learning mood.
The children all want to draw one from the box.
Card gift to calculate,
Make boring oral calculations interesting and fun,
Willing to accept. Before the children take the initiative
Study, right?
100
The addition and subtraction in has been consolidated and improved. Although middle school students and high school students are "useful",
can choose
Militant "
More interested in things and tasks.
For example:
When reviewing the characteristics of triangle classification by angle in grade four, let the students guess the angle.
Game activities:
There are many different triangles in the paper bag.
Only one corner is exposed,
Please guess what triangle it is. sequence
Expose one right angle at a time,
Students quickly guess that it is a right triangle;
The obtuse angle is exposed for the second time,
The students soon guessed that it was.
Obtuse triangle; When the acute angle is exposed for the third time,
Students will have three different answers and ask their classmates: Why?
What should I do if I disagree? After this speculation,
Stimulated students' attention and inquiry consciousness,
Let students gain experience from failure.
This class not only aroused students' interest, but also left a deep impression on them.
(2)
.
Orderly arrangement, effective review and construction of knowledge network
Review class is combing,
Teaching activities with the main task of consolidating learned knowledge and skills,
The purpose is to deepen students.
Understanding of knowledge,
Make it organized,
Systematize.
Therefore,
Teachers should guide students to organize scattered knowledge systematically,
Induction focuses on clarifying the knowledge structure network of basic concepts, basic calculations, basic operations and basic applications, and putting those
On the basis of analysis and comparison, we should "string" the knowledge points with internal relations, so as to learn a little and understand a little.
Face,
Form a good network knowledge structure,
Strive to make every student gain something on the original basis.
During the review process
Two points must be noted:
One is what students want to sort out,
The starting point of knowledge content must be fine and accurate;
The second is students.
When sorting out knowledge content,
Teachers should give some help appropriately.
Although the arrangement of students is incomplete or rough,
teach
Teachers should also give full evaluation. Combined with students' arrangement, take its essence and summarize a more reasonable knowledge network diagram.
For example, when sorting out and reviewing the content of "ratio and proportion", we should grasp everything related to "ratio and proportion"
Content: Starting from the nature and significance of "ratio" and "proportion", teachers and students construct the following knowledge through memory, analysis and comparison.
Know the network diagram.
Knowledge network can show all the relevant contents to students.
Combined with related practical applications,
In order to deepen understanding,
Consolidate old knowledge,
The best effect of flexible use. Students expose their thinking process by sorting out and reviewing.
Re-bend
Through the teaching and guidance of teachers, students not only have a deeper understanding of what they have learned, but also "review the old and learn new things"
(3)
Select examples, expand connotation and cultivate students' ability.
Finishing and reviewing are not simple mechanical repetition.
,
In the review process, teachers should be good at planning and selecting examples, and answer more questions.
Q, designing different levels of questions for the same topic is the forerunner to broaden the thinking.
This is also a channel to transfer water to the field, which makes the problem.
Step by step, make thinking deepen gradually, give play to the role of "point to area" in examples, and dig out the connotation and exterior of mathematical problems.
Yan,
Make students' transformation and migration ability,
The ability to analyze and solve problems has been improved,
Realize the rediscovery and re-creation of mathematics
Create, promote the profundity of students' thinking, and cultivate students' ability to solve problems.
For example, when sorting out and reviewing "engineering problems", you can choose such an example.
(
See Adding Files.
)
By changing the conditions and questions of the topic,
Through the progressive layer,
Extend and expand consciously,
Dig as hard as you can
The connotation and extension of exercises,
Stimulate students' curiosity and innovative thinking,
Enlighten wisdom,
Expand your mind,
Learn to be flexible,
The purpose of sublimation ability is to deepen students' knowledge and understanding of mathematical problems.
Further master the problem-solving ideas and be familiar with them.
Practice solving problems.
(4)
, select exercises, flexible use, expand and improve.
When we teach new courses, we pay attention to the novelty and diversity of practice methods.
The same is true of the review class.
Exercise design should also reflect
Comprehensive,
Flexibility and development,
It is beneficial to cultivate students' practical ability and innovative consciousness.
Let students of different levels have it.
Improvements in different aspects,
When designing exercises,
Design exercises selectively according to the focus of the review course content,
We must do both.
The breadth and depth of knowledge, but also choose representative,
Typical targeted exercises,
Exquisite and concise,
Eliminate digression
Strange behavior. Let the training point come from the textbook, which is different from the textbook. therefore
,
What kind of exercises should be designed for students in math review class?
under
Interview my own point of view:
1
Pay attention to basic exercises: we should grasp the key points in review and carry out basic exercises. For example, when reviewing decimal four.
The following two exercises can be arranged in the calculation process:
(
1
)
Calculate the following problems vertically.
①
50-0
.
92
②
O
.
45
×
12
③
O
.
14
×
.
1 1
. ④
2.25
÷
1
.
five
⑤
14
×
three
.
five
(
2
)
Put it in your mouth
+
, a, x, present, manufacture
six
mouth
1.3
1.3
mouth
six
six
mouth
0.3
0.3
mouth
six
Computing connection of
Fruit is the biggest.
sequence
( 1)
theme
five
The problem of knife cutting is not difficult in calculation.
However, it involves several difficulties in calculating four decimal points.
sequence
(2)
Through calculation,
Although the comparison can judge the result,
But depending on the product and factors,
The relationship between quotient and divisor can be very fast.
A clear conclusion is the real purpose of thinking training.
2
Pay attention to a changeable problem and master problem-solving skills.
In mathematics teaching
,
Pay attention to a changeable topic.
,
Cultivate students' comprehensive ability and exercise their thinking flexibility and innovation ability.
If teachers can properly implement "one subject changes", strength plays an important role.
It can not only improve the teaching effect,
Expand knowledge capacity,
But also helps to cultivate students' mathematical thinking ability,
At the same time, it is also to cultivate students' comprehensive palm.
A shortcut to knowledge. For example:
The exercises in the "Cylinders and Cones" review class can show such a set of questions:
Known cylindrical packaging boxes
d=2
Decimeter,
h=3
Decimeter "
( 1)
How many square decimetres of iron sheet does it take to make such a cylindrical packing box?
(2)
If the trademark paper is attached to the side, how many square decimeters of trademark paper should there be in each box?
(3)
Can you still calculate the volume of the cylindrical packing box? (excluding the thickness of iron sheet)
(4)
If the cylindrical iron box is solid, cut the cylinder into the largest cone, and its volume is
How much/how much?
(5)
If this solid cylinder is cast into the largest cone, what is its volume?
(6)
If this cylinder is cast into a cone with the same base as it, what is its height in decimeters?
Such mathematical problems are closely linked,
Through simple text conversion, and by connecting with life and production practice, will be
All the knowledge of cylinder and cone runs through it, activating the existing mathematical knowledge and methods, mastering problem-solving skills and improving.
Ability to solve practical problems.
three
Pay attention to the openness of practice design.
Mathematics open-ended problem is a kind of mathematics problem with the most educational value.
Is to actively promote quality education,
Cultivate students
Innovative ability, developing students' personality and activating students' thinking are a starting point. It is flexible and multi-directional, which is beneficial to
Expand students' thinking space,
Enable students to transform mechanical imitation into exploration and creation.
The design of open exercises is generally divided into
Three situations:
( 1)
Opening of conditions
In the past, in problem-solving teaching,
Many times, the given conditions are often sufficient and necessary.
Students analyze problems,
Solving problems, from imitation to proficiency, is easy to form a mindset. In the new curriculum standards, this aspect has made a breakthrough. exist
In solving practical problems in life,
We often see some redundant conditions.
If there is one in the workshop
20
A worker,
four
Tianyi * * * production
960
Parts. How many parts does this workshop produce on average every day? Many students are affected by "
20
A worker "
The interference of this situation. List:
960
÷
20
Wrong formula, and some students listed.
960
÷
four
÷
40
The wrong formula of.
So,
Through the practice of designing redundant conditions,
Train students to analyze the relationship between conditions and problems,
Can rule out a lot
The interference of complementary conditions breaks the rigid thinking of using all conditions in the problem.
(2)
, the openness of the problem
The problem is the heart of mathematics, which can give students the direction and motivation of thinking.
For example, after teaching the calculation of the circumference of a rectangle in the third grade,
In many exercises, the length and width of a rectangle are known.
Rangxue
Find the circumference.
Relatively speaking,
This exercise is relatively closed,
It only requires students to apply the formula for calculating the perimeter of a rectangle.
Work out the answer quickly,
The answer to this question is unique,
It should be said that such topics are very important for consolidating relevant basic knowledge.
Forming base
This technique is helpful to some extent. However, the goal of mathematics teaching cannot be limited to "double basics"
It is more important to train students.
Innovative spirit and practical ability,
The cultivation of this spirit can never be achieved by mechanically applying formulas to solve problems.
To this end,
I
Students can design exercises like this: using a
24
How many different ways can you wrap a centimeter-long wire in a rectangle? like this
The questions involved in such questions are open-ended,
Its answer is not unique.
In solving problems, students should use rectangles.
Perimeter calculation formula, but it is not a simple application. It should be said that such questions give students a lot of room for thinking.
It can encourage students to think freely, divergently and creatively.
(3)
Openness of problem solving strategy
For example:
A batch of rice came from the canteen.
500
Kilogram, plan
15
After eating, if you press
three
Heaven Lake
87
Kilograms, this batch of rice is enough.
Not enough to eat
A
Students can compare this question from different angles and get different answers:
Method 1: Compare the total kilograms of this batch of rice.
87
÷
three
×
15=435
(kg)
435
kilogram
500
Kilogram, enough to eat.
Method 2: Compare the days.
500
÷(
87
÷
three
)≈
17
(days)
17
God >
15
Oh, my God, that's enough.
Method 3: Compare the kilograms of rice you eat every day.
87
÷
3=29
(kg)
500
÷
15
≈
33
(kg)
33
Kilogram >
27
kilogram
Enough to eat
In this exercise, students look for ways to solve problems from different angles and cultivate students through communication and comparison.
Flexibility and comprehensiveness. It can not only challenge students' wisdom, but also make mathematics classroom full of vitality.
The design of exercises should pay attention to its hierarchy,
First of all, we should focus on basic exercises.
Then increase it appropriately on the basis of consolidation.
Development exercises.
Let students at different levels get different development,
Let every student have a successful experience,
Really do it
Let "gold" be brilliant; Let "steel" shine; Let "iron" become resolute; Let the "stubborn stone" be full of spirituality; Let "soil" give off fragrance
Party; Let "grass" be unpretentious.
In short, the forms of review classes should be diversified, and various methods and strategies should be used to check for leaks and fill gaps and lay a good foundation; Pay attention to poor students and save face.
For everyone; Organize the system and build the network; Highlight application and solve problems flexibly. Create a democratic, equal, harmonious and relaxed censorship environment
Atmosphere.
In the review process, teachers should leave enough time and space for students to explore.
Make comments innovative.
At the same time,
Note that in review, teachers' evaluation should be diversified, with encouraging evaluation as the main factor. Looking back on the sparks of wisdom flashed by middle school students,
Teachers should be good at discovering. Seize it in time and encourage praise.
Teachers should be kind to the mistakes made by middle school students and encourage them to be brave.
Overcome and build self-confidence. Enable students to gain an understanding of mathematical knowledge, and at the same time improve their thinking ability, personality quality and emotional attitude.
Other aspects have also developed.