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How to cultivate the good habit of learning mathematics?
Some views on how to make good use of the counseling plan

Requirements for students to use "learning plan":

(1) preview carefully according to the content of the tutorial before class. All students must solve the "pre-school preparation" part of the "study plan" by themselves and try "inquiry activities" initially. Students who have the spare capacity to study independently will conduct "self-test" and "application development", mark unfamiliar problems, communicate with students the next day or ask questions to teachers in class. Students are required to adhere to three principles when using the tutorial system plan: the principle of consciousness, the principle of initiative and the principle of independence.

Pay attention to learning methods and rules in class for future review. After learning a lesson, write a postscript in the blank after learning the scheme.

(3) Every once in a while, the "tutorial plan" will be collated and bound into a book.

Requirements for teachers to use "learning plans";

(1) The day before class, the "Tutoring Plan" of this class will be distributed, and students will be carefully guided to use the "Tutoring Plan". Be sure to approve some remedial plans before class (small classes should be approved in full), understand the learning situation, and prepare lessons again before class.

(2) When using the tutorial system in classroom teaching, we should strive to: let students explore new knowledge actively; Textbooks for students to read; Let the students discuss the key points and doubts; Ask questions for students to think and answer; Ask students to summarize conclusions or laws; Let students freely construct the knowledge structure system.

(3) The application of "tutorial plan" in classroom teaching to expand students' thinking mainly includes: first, guiding students to acquire knowledge by developing sufficient thinking, and showing the difficulties, obstacles, problems and mistakes in students' thinking process; Second, discover the bright spot of students' thinking and give encouragement and guidance in time; Third, in addition to fully mobilizing students' thinking in classroom teaching, teachers' own thinking should also be fully developed, activating students and improving themselves in the teaching process, so as to learn from each other's strengths.

(4) Using the tutorial system to carry out classroom teaching should be "four fine and four essentials", that is, selecting carefully, stressing intensively, and commenting intensively, so as to ensure that orders will be collected, those that are collected will be approved, those that are approved will be evaluated, and those that are evaluated will be supplemented. Teachers must carefully select materials, cognitive strategies and feedback information according to the teaching materials. Optimize the teaching plan, optimize the teaching methods, and work hard to grasp the "key points", highlight the "difficulties" and solve the "doubts". Teachers should inspire and awaken students' subjective consciousness, create a stage for students to perform and make the classroom full of charm.

⑤ Highlight a word "guide". Under the teaching mode of teaching with learning and cooperating with the same case, teachers should pay attention to stimulating interest, which is the internal motivation of students' learning. Students' interest in learning depends on cultivation and stimulation, interesting classroom instruction that can catch students' attention, and interesting and meaningful classroom activities around the teaching content are conducive to students turning "hard study" into "happy study"; It is necessary to guide regular learning, so that students can understand and master the learning methods and the best path in classroom reading, listening, thinking, speaking, discussing and doing, and urge students not only to "learn" but also to "learn". Guide students' research learning activities, and improve students' knowledge application and knowledge innovation ability in the process of collecting and processing information; We should not only guide thinking, but also "learn from thinking". Teachers should be good at providing the lever of thinking, guiding the direction of thinking and cultivating the profoundness and broadness of students' thinking; We should encourage innovation, encourage students to dare to express their opinions, cultivate superior and original questioning quality, improve questioning ability, and thus exercise and develop students' thinking ability.

⑥ Strengthen the word "research". Teachers should strengthen the research on students and teaching materials under the cooperative teaching mode of learning in the same case. Strengthen collective lesson preparation, attach importance to classroom presupposition, and at the same time pay full attention to classroom generation, and handle the relationship between presupposition and generation. Without paying attention to generation, the classroom will be chaotic and disorderly, and the classroom will not be wonderful; Teachers should strengthen the research on other teaching methods. It is necessary to study how to integrate, graft and innovate different teaching methods, tap the great potential of "learning-case cooperation teaching" and build a classroom teaching model with the characteristics of mathematics discipline. Teachers should strengthen the study of classroom details. Problems in the implementation process should be summarized, reflected and discussed in time. For common problems, the teaching and research group should focus on tackling key problems through research, follow the lesson learning path of collective preparation before class, observation and diagnosis during class and reflection after class, and promote the continuous improvement of classroom teaching efficiency and the continuous improvement and development of the teaching mode of "learning and teaching together" in the process of solving problems.

"Learning-case cooperation teaching" is a new concept to practice effective teaching with practical actions. Through the use of tutorial system in teaching, students' autonomous learning of "self-study is not equal to teacher's teaching" has become an operable procedure. According to the design of "Tutoring Plan", students can induce, generalize, reason and discover the rules by themselves, thus improving their self-study ability. Students' learning under the guidance of tutoring plan is a kind of self-exploration and self-discovery learning. In this process, students will more or less go through the scientific understanding process of discovering problems, asking questions, making guesses, analyzing and exploring, and drawing conclusions, so that students can gradually improve their thinking level and research and exploration ability while acquiring knowledge, and at the same time, their learning process and methods are optimized. Under the guidance of "learning plan", students think, explore, train and test problems independently, and their thinking activities are continuous and profound. This kind of learning activity is conducive to forming "problem consciousness", developing the rigor and profundity of thinking, and enhancing their ability to deal with problems independently. Preview, self-study and self-test can't solve all problems, but students' independent inquiry has the function of prefabrication and preparation. Once the classroom discussion involves related issues, it can quickly arouse discussion and solve problems. If the teaching of "guided learning by learning plans" can reach this level, it is what we yearn for "effective learning" or even "efficient learning!

First, change ideas and unify understanding.

The tutorial plan is mainly to guide students to learn by doing, and to make students truly become the masters of learning with the help of the tutorial plan. The tutoring plan has clear learning objectives, the key and difficult points of a class, the method guidance of learning content, the guidance of learning content, the practice, guidance and testing of learning content, and the summary, promotion, revision and expansion of learning content.

Tutorial system plans to further optimize students' learning methods, expand students' learning time and space, give students full autonomy, let students fully participate in the whole process of learning, experience the acquisition of knowledge, explore the occurrence of knowledge and improve their acquisition ability.

Second, effective self-study and classroom performance

Students should have a correct attitude, scientific methods and active consciousness when using tutorial system.

Autonomous learning, inquiry learning and cooperative learning are new learning concepts, which enable students to fully participate in the learning process, impart knowledge by themselves rather than teachers, acquire abilities by themselves rather than teachers, and actively summarize methods by themselves rather than teachers. Therefore, students should be enthusiastic, confident, serious and actively make good use of the tutoring plan.

The quality of self-study after class is the key to ensure the effective implementation of "three steps and one lesson" All students' attitude towards the counseling program is enthusiastic rather than perfunctory, positive rather than negative, active rather than passive, eager rather than helpless or rejected. Must be carefully written in the independent stage, carefully marked in the classroom interaction, and carefully revised after class. After class, all students should complete the tutoring plan independently and comprehensively according to the teaching plan. Self-study is mainly to combine teaching materials and supplementary materials in self-study class to complete the course independently (teachers can help and cooperate with students when necessary, but it is only an auxiliary means), but more emphasis is placed on self-study, and students cannot discuss it in self-study class in principle. But you must learn by yourself, do your own cases, and never copy them, and never cheat. When using it, teachers should add or delete the content appropriately according to the learning situation. Students should record on the study plan and learn by themselves as required. Without a high degree of autonomy, it is difficult to ensure full interaction.

Third, learn from each other in class and use them efficiently.

1. Classroom communication is inseparable from the tutoring plan.

At the beginning of the discussion, the teacher leads the discussion: (1) modify the study plan, and the team leader leads the whole group to modify the study plan first, one by one; (2) Single problem solving in the group, and the group leader or other students in the group will answer a student's single question. Groups should help each other, learn from each other, carry out exchanges and advocate cooperation; (3) Implement the learning objectives, and the team leader will lead the whole group to test the implementation of the objectives, or organize discussions on specific issues; (4) If there are concentrated puzzles, the group will collect them.

2. Classroom demonstration is inseparable from the tutoring plan.

The main speakers of each group, according to the key contents arranged in advance (carefully study the key learning tasks received by this group, understand thoroughly, be able to answer other people's doubts, and all team members should solve related problems with high quality; You can also try not to arrange the specific content) on the blackboard, and the speaker should write his name.

3. Classroom generation is inseparable from the tutoring plan.

Confused problems in class are recorded in the study plan, personal problems are approved in the study plan, and questions raised by teachers are also written in the study plan. The study plan should pay more attention to the collision of thinking.

4. Reflection after study is inseparable from the tutorial plan.

The generalization of classroom knowledge and methods is one aspect of learning achievement. Learning plan can be used to show reflection, and learning plan is needed to modify reflection.

5. Review preparation is inseparable from the tutorial plan.

The consolidation, integration and stage review of classroom knowledge all need to use the tutoring plan, and the weak links can be self-examined through self-evaluation and other links, and the key and primary review can be carried out.

6. Classroom teaching is inseparable from the tutoring plan.

Teachers can't tell students what to do in class, but they can't write what students write. Teachers emphasize, guide and guide all knowledge points, or shape and guide the problems involved in each goal. Students should further discuss the contents of the exhibition and revise their study plans according to the guidance of teachers.

7. Teachers' guidance is inseparable from the new learning plan.

Ten minutes after class, the teacher guides the students into the new lesson. Students should browse the new study plan moderately and get a preliminary understanding of the new study plan under the guidance of the teacher.

Fourth, check the study plan and put it in place in time.

1. The lesson plans used in class learning cannot be handed in immediately after class. In order to further implement the learning effect, students must modify the tutoring plan in red ink after class according to the guidance of teachers and the results of classroom interaction. The class representative leads the group leader to check the revision of the teaching plan one by one before the evening self-study class and hand it over to the teacher before the evening self-study class. Without a high degree of autonomy, it is difficult to ensure full interaction.

2. The independent study of the new study plan also needs to be urged. The group leader should check the study of the new study plan of the group ten minutes before the last class of the evening self-study.

5. If you want to learn, you can learn and learn well.

With the help of tutorial system, the fundamental purpose of effectively implementing "three-step, one-lesson cycle teaching" is to create an efficient classroom and further improve the teaching quality. I sincerely hope that all the students will take an active part, not only studying, but also studying. Only by studying can we learn well. A strong classroom learning atmosphere will definitely stimulate students' enthusiasm for learning. Experiencing the learning process personally will definitely help students master knowledge more firmly. Comprehensive and extensive classroom participation will definitely improve students' interest in learning. Limited learning time, real learning process and real learning experience will certainly improve learning efficiency, effectively develop learning potential and effectively ensure learning effect.

A good counseling case can embody four characteristics:

(A) Question inquiry is the key to the counseling program. It can play the role of "asking questions to expand ideas and create motivation" and help students learn how to grasp the key to the problem from theoretical exposition.

(B) knowledge collation is the focus of the course. The initial goal is to let students learn to analyze, synthesize, sort out and summarize the knowledge in textbooks independently and form a complete scientific system.

(3) Reading thinking is the characteristic of the tutoring program.

(4) Consolidating exercises is the focus of the course. On the basis of exploration and arrangement, let students carry out some targeted consolidation exercises independently.

Designer of Tutorial Plan: Preparation Mode of Tutorial Plan in Zhao Chi Efficient Lecture Hall (1)

Now, our county is carrying out teaching reform in the lecture hall. After the summer vacation, prepare the traditional lesson preparation mode in "Start Over" and uniformly use the tutoring plan printed by the county teaching and research office. In order to standardize the use of tutorial cases, the following requirements are put forward:

First, the use of "tutorial system" the basic mode of preparing lessons

"Prepare lessons in advance, discuss collectively, optimize the study plan, and use it by teachers and students".

1, prepare lessons in advance: understand students, dredge teaching materials, and grasp the knowledge system from two aspects.

2. Collective discussion: the lesson preparation team leader calls all the team members to give a lecture on the teaching content one week in advance, with the focus on how to determine the teaching policy, choose the teaching method, design the teaching process and analyze the students' situation.

3. Prepare lessons before class: Give the "Tutoring Plan" to students one day before class, and read it properly after formal class. The teacher will read, understand and complete the "tutoring plan".

4. Preparing lessons after class: Teachers and students * * * use "tutorial system" to implement lecture hall teaching. After class, the teachers are filling in "after-class notes" in the relevant columns or blanks of the "tutoring plan" so that they can communicate with each other in the next collective lesson preparation.

Second, the specific requirements

Teaching plan is not suitable for teachers to prepare lessons, it is only an integral part of teachers' preparation. Teachers can't treat the tutoring plan as preparing lessons, but should personalize it and integrate it into my creativity. Teachers can be creative in preparing lessons, but there are various forms of preparing lessons. The counseling plan should be outlined and filled in by the teacher, and it should be effective and practical. If the tutoring plan is not suitable for my teaching requirements, I can attach another page at the back, writing down the teaching plan and study plan I need and sticking it at the back.

Third, the requirements for students.

1, preview the handout according to the content of the tutorial plan. All students must deal with the basic problems in the "tutoring plan" by themselves, and weak students can do extended problems. If they are unfamiliar or difficult to handle, they should mark the sign, communicate with their classmates the next day or measure the teacher's letter in the lecture hall.

2. Pay attention to make notes on diligent methods and disciplines in the lecture hall for future review. After learning a lesson, you should write "Postscript" (what you have learned) in the blank space of "Guidance Plan".

3, every other week, the subject "tutorial cases" are sorted and bound into review materials.

Fourth, the requirements for teachers.

1. Generally, no other written homework is assigned, and students are really guided to use the "tutoring plan". Before class, you need to draw a batch of departmental "tutorial plans" in order to understand the learning situation and prepare lessons again before class.

2. When teaching in the lecture hall, we should enrich and demonstrate the typical demonstrations of lecture notes, and be diligent in taking students as the main body: give up new knowledge and let students think automatically; Let the students talk about the key points and difficulties; Let students think and answer questions; Discipline makes students look for induction, etc. In addition to paying attention to students' thinking, teachers should also promote their own learning from each other.

3, the class process can generally be divided into:

(1) preview communication (intra-group mutual assistance);

(2) Preview the letter, solicit feedback and explain the text (which can be answered by students or teachers);

(3) Teachers divide topics (such as sinking phrases or sentence patterns) and do them in groups (group members perform on the blackboard, and the group leader leads the students in this group to give a lecture on all the topics they divide, so that all members can control themselves);

(4) Exhibition and promotion (each group sent representatives to clarify the topic of this group, and other groups of students put forward letters and questions);

(5) Standard assessment and extension.

4. To achieve "four refinements and four requirements": selection, refinement, refinement and approval;

What is sent should be collected, what is collected should be approved, what is approved should be evaluated, and what is wrong should be corrected.

Verb (abbreviation of verb) Other utilization requirements

1, the teacher must send the "tutorial plan" to the students the day before the lecture hall teaching is being implemented, and the students will give it to the teacher after previewing. Teachers will draw or approve a "tutoring plan" as needed, experience the learning situation, prepare lessons for the second time, and further optimize teaching strategies. It is strictly forbidden to organize students to read papers instead of teachers.

2. Ask students to insist on automaticity and independence when using the "Tutoring Plan". No matter before or during class, we should automatically conduct self-study and inquiry according to the "guidance plan" and gradually cultivate the habit and ability of self-study; Educate students not to copy others when previewing before class.

3. In the lecture hall, teachers are required to teach with learning, so as to use with spirit. In the lecture hall, we should keep abreast of the learning situation, adjust mentally, and be diligent in judging the problems that students can handle. Teachers only talk about students' points, guide students to sum up laws and refine methods, minimize the lack of explanations and unnecessary guidance, and ensure that students have enough time for study and training. After class, teachers should fill in "teaching postscript" according to the teaching situation in the lecture hall to form a "set of wrong questions".

4. Regular consolidation review: targeted implementation of consolidation drills such as "weekly cleaning" and "unit cleaning".