Commentator:

Teaching process review

1

Painting smiling faces: Teachers skillfully use the situation of sending smiling faces to communicate with students, which not only communicates the feelings between teachers and students, but also

Do a good job in setting the scene and reserving resources for the later teaching.

2

Divide into one point and understand the intersection and non-intersection: teachers can fully understand by organizing students to divide into one point and draw a picture.

Experiencing and understanding the positional relationship between two straight lines corrects students' cognitive limitations and expands students' cognitive space.

three

Parallel Cognition: On the basis of students' cognition of "intersection" and "non-intersection", what do teachers further understand?

What is "parallel to each other"

The concept of "parallelism" is progressive from far to near, gradually improving students' understanding of "parallelism"

Understand and help students understand that "in the same plane, two disjoint straight lines are parallel to each other"

It was originally built by imagination.

Appearance.

four

Understanding verticality: changing static into dynamic, guiding the experience and understanding of the formation process of verticality in dynamic changes, and passing the verification.

Draw scientific conclusions,

And naturally extract the intersection-vertical special case in the search.

At this time, the blackboard writing of this lesson was basically formed.

Graphic combination,

And through the intuitive Euler circle, a complete set of blackboard writing is displayed to students.

Students' collective thinking

Want to infiltrate naturally, moisten things silently.

five

、

Exercise:

After students learn new knowledge,

Help students organize their knowledge systematically in time,

Let students master what they have learned in an orderly way,

Not only let students know the learning objectives of this class,

With a clearer understanding of the key points,

I also learned how to organize knowledge effectively.

the same

At that time, the teacher showed some "vertical and horizontal" phenomena in life, which can extend the knowledge learned to life and make it

Students feel that there is mathematics everywhere in life.

General comments

Listen

The teacher's experience in this class is particularly profound. The whole classroom embodies the "simplicity, order and moderation" pursued by mathematics classroom.

The classroom view is embodied in the following three aspects:

1

, simple learning materials

Only when the teaching materials match the teaching objectives,

Serve the teaching objectives,

Only in this way can we really play the effective role of matter.

Teacher selection

I choose to draw a smiling face,

Then smiling faces are extracted and abstracted into straight lines with different positional relationships as learning materials,

Draw a straight line

The positional relationship between "intersection" and "non-intersection"

, the knowledge of whether the disjoint is in the same plane is organically contained in

Among these materials,

Seemingly simple,

But it's quite ingenious,

The materials provided can show the essence of mathematics well.

Allow students to charge.

Learning mathematics knowledge with the help of life experience reflects the efficiency of teaching materials.

2

A step-by-step learning process

Step by step requires students to develop in an orderly manner.

There is an "order" according to the knowledge structure.

There is an "order" in classroom teaching.

Teaching is trying to find.

The "golden fork" of quasi-three-sequence lines

Try to use "from easy to difficult, from simple to complex; From perceptual to rational, from concrete to abstract;

From known to unknown, from phenomenon to essence; From special to general, or from general to special; feel

Understand; Understanding

consolidate

Use;

copy

imagine

Creation "and other different forms of mathematics teaching.

Teachers organically combine knowledge in the whole learning process.

"order" of architecture

The integration of "order" of students' cognition and "order" of classroom teaching has promoted the improvement of students' cognitive level.

The degree of affection is gradually deepening.

three

Moderate learning activities.

If the teacher just shows the learning materials to the students,

It is difficult for students to study purposefully,

Even if some students can attend.

To learn,

This may also be inefficient,

Even ineffective.

Properly handle teachers' guidance and students' autonomous learning

Relationship is the direction of every teacher's efforts. In this lesson,

When teachers carry out effective learning activities for students of different ages,

More suitable for us,

In establishing this concept,

As students know little about this knowledge,

Teachers push forward layer by layer.

Way,

Guide students to gradually establish and improve concepts,

After the students have basically established the concept,

The teacher asked the students to apply what they had learned.

Basic knowledge,

Show parallelism according to your own understanding,

Give students enough space to explore.

Throughout the teacher's class,

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