Reflection on the Fifth Grade of Beijing Normal University
The second volume of the Beijing Normal University fifth grade edition contained teaching content for many subjects. The following is a reflection on the teaching content of some mathematics subjects: ** I. Reflection on the teaching of the mixed operation of fraction addition and addition ** 1. ** Difficulty analysis and countermeasures ** - The mixed calculation of addition and deduction of scores seemed to be easy, but the students did not have a good grasp of it, and the accuracy of the calculation was low. The calculation of scores had been removed from the new textbook. The minuend was a combination of 1 and the deduction or addition and deduction was more difficult and unfamiliar to the students, because the "1" was often hidden in the numerical relationship. In order to break through this difficulty, three different levels of exercises were designed before the new class to deepen the students 'understanding of the unit "1". 2. ** Teaching link adjustment and student thinking guidance ** - The examples in the textbook were slightly dealt with to create space for students to think and let students discover and solve problems by themselves. In the process of solving the problem, such as calculating 1/4 + 1/3 = 7/12, 1 - 7/12 = 5/12, etc., by asking,"Who can list the comprehensive formula?" "How else can I answer this question?" He guided the students 'thinking to a higher level. 3. ** Calculation methods and clever calculation thoughts permeate ** - In terms of the mixed calculation of fraction addition and addition, it was usually possible to calculate the general fraction step by step according to the order of the mixed calculation of the integral addition and addition (divided into two general fraction). If the common decimal could be quickly found, the general fraction could also be calculated once, which might be easier. For example, if you calculate 5/9+2/3 - 2/5, because 9 is a multiple of 3, the common quotient of the three zeros is the least common multiple of 9 and 5. At the same time, the idea of reducing the division and reduction while calculating was permeated in the calculation to improve the quality of the calculation, so that students could feel the exploration of mathematics learning and obtain a successful experience. ** 2. Adding and Subtracting Fraction with Different Denominators (Reflection on Origami Teaching)** 1. ** Leading teaching ideas and situation creation ** - According to the requirements of the new curriculum standard,"Let students explore independently, everyone can obtain mathematics", this class created a learning situation around the teaching goal. Let the students fold the paper, color it, explore the formula independently, estimate and explore the algorithm based on the work map, and explain the method. 2. ** Teaching process and the reflection of students 'main body status ** - The teacher made a comprehensive evaluation of the students 'practice, returning the initiative to the students, and letting the students independently summarize the problems that should be paid attention to when calculating the scores with different predictors in the report, such as the result should be converted into the simplest score, and it was simpler to use the least common multiple as the common quotient for the general score. The whole process did not directly evaluate right and wrong. Students were allowed to clarify the problem in their own exploration and experience the process of "mathematics" and "re-creation" to provide sufficient time and space for the development of students 'personalities. ** 3. Reflection on the teaching of fraction division ** 1. ** Self-study and problem discovery ** - In the teaching of fraction division, students were asked to study by themselves because the big screen was damaged in class. Through guessing-trial-verification, the students found that the result of dividing a number by a score and multiplying the inverse of the score was the same. Therefore, they came to the conclusion that multiplying a number was equal to dividing the inverse of the score and practiced it. The learning effect was not bad at first glance. 2. ** The importance of mathematical understanding ** - But when he asked,"Why is a number divided by a fraction multiplied by the inverse of this number?" When it came to this question, most students only knew that the results were the same and did not know the reasoning. This showed that they did not understand the knowledge. This was also the point that needed to be explained to the students in teaching. Read more exciting novels for free
Analysis and Reflection on the Teaching Material of the Fifth Unit of Grade One Mathematics in Beijing Normal University
The fifth unit of Beijing Normal University's first-year mathematics focused on teaching "up and down". In terms of teaching material analysis: - This unit was taught on the basis of the "before and after" of the previous unit. It created a specific situation for students to observe and compare the upper and lower positions of two or three small animals, and experience the relativity of the upper and lower positions. Because the reference objects were different, the upper and lower positions would also be different. This relativity was the most difficult part of understanding. The students would also learn how to observe things in order based on their life experience and the position of their five senses. From there, they would be able to determine and express the relationship and order of the upper and lower positions in their own words. This would develop the students 'concept of space and cultivate their awareness of applied mathematics. The exercises in " Practice " had a certain degree of difficulty. Students were required to judge the relationship between the upper and lower positions through observation, comparison, and reasoning. They were required to experience mathematics in their lives and feel the fun of learning mathematics to obtain a good emotional experience. However, there might be some areas that needed reflection in the teaching process: - For first-year students, although they had a preliminary understanding of the relationship between the upper and lower positions in their lives, their understanding of the relative relationship between the upper and lower positions was still limited. The teaching process may require more diverse teaching methods and more guidance to deepen their understanding of this concept. - During the practice session, he needed to think about how to better guide the students to observe, compare, and reason so that they could successfully solve the difficult questions. He had to make sure that the students would feel challenged, but they wouldn't feel frustrated because of the high difficulty, which would affect their interest and enthusiasm in learning mathematics. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Second Grade, Second Volume, Beijing Normal University, Reflection on Teaching
The following is a reflection on the teaching of the second volume of Beijing Normal University: In teaching, in order to enhance students 'interest in knowledge, they could activate students' thinking through operation, observation, and thinking activities, so that they could deeply understand the meaning of the remainder in division with a remainder, so as to reflect the student's main position. " The remainder must be smaller than the division." This rule of division should not be directly taught to students. Instead, students should be guided to discover it through observation and comparison, and explore the reasons for this rule from both positive and negative aspects. Finally, organizing exercises would allow students to thoroughly understand and master the calculation method. At the same time, the teaching process could be divided into many parts. For example, in the preliminary understanding of the remainder part, let the students use small sticks to build a square, while thinking about how many can be built, how many can be left, understand the situation of the average score with surplus, understand the necessity of learning the remainder, and focus on understanding the meaning of the remainder. In the part of discovering the remainder is smaller than the division, use different numbers of small sticks to build a square. Through drawing, listing, discussing units, observing operation diagrams, communicating the relationship between the remainder and the division, let the students experience the collision of thoughts and feel the law of the remainder being smaller than the division. It could also further verify the relationship between the remainder and the division, causing the students to think again. In terms of practice design, he could design exercises with different emphases. Some exercises increased perceptual experience through a large number of swings and paintings, forming an image in the students 'minds; some were used for inspection, emphasizing the quantity and accuracy of the paintings; some were used from intuition to abstract, knowing the shapes of various surfaces through imagination. The whole process guided the students to discover the connection between objects and figures, develop the concept of space, pay attention to the process and method, and focus on developing the students' concept of space and reasoning ability in each link. However, there might be problems in the students 'hands-on stick setting segment. For example, some students were just a formality and the order was chaotic. They needed to think about how to make the learning tools really work. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Reflection and Evaluation on the Teaching of Happy Duckling in Grade One of Beijing Normal University
In the New Beijing Normal University Version of the first grade mathematics unit "Happy Duckling" teaching, it has the following advantages and can be reflected: ** 1. Strengths ** 1. ** import to stimulate interest ** - The introduction of riddles into the new lesson could effectively attract the students 'attention, stimulate their interest in learning mathematics, and create a positive learning atmosphere for the entire class. 2. ** Diverse algorithms ** - In the teaching, students were encouraged to explore the calculation of 12 - 7 =, and students were allowed to use their favorite methods to explore more than ten minus 7 algorithms, which reflected the variety of algorithms. This was in line with the mathematics curriculum standards, which stated that due to the students 'different backgrounds and perspectives, the calculation methods would inevitably be diverse. It respected the students' ideas and encouraged independent thinking. 3. ** Guidance Method Selection ** - While advocating the variety of algorithms, students should be guided to choose the most suitable method among the many algorithms. This would help the students to be good at learning and willing to explore. It would make them understand that in mathematics learning, the method that suited them was the best, but the premise was that the students had already mastered a calculation method. 4. ** Cultivation of problem awareness ** - Focus on improving students 'awareness and ability to raise and solve problems. Teachers created situations for students to ask questions and try to solve them, which was of great significance to the development of students 'mathematical thinking. ** 2. Area to be improved ** - In the teaching process, although the students paid attention to the variety of algorithms and their own choices, some students with weak comprehension ability might be confused in front of many algorithms and not know how to choose the method that was really suitable for them. In the subsequent teaching, teachers could strengthen the individual guidance of these students to ensure that each student could understand and master effective calculation methods. At the same time, when creating a situation to guide students to ask questions, it could further expand the variety and depth of the situation to stimulate students to ask more challenging and in-depth mathematical questions. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Reflection on the teaching of pinecone in the second grade of primary school in Beijing Normal University
The teaching reflection of Counting Pine Cone Fruits could be carried out from the following aspects: * * I. Achievement of teaching objectives ** 1. * * Knowledge and Skills ** - The main point of Counting Pines was to let the students understand the formation process of the multiplication formula. In the teaching, students were guided through a variety of ways to understand the formation of the multiplication formula. For example, through the calculation of the number of pine cones, they gradually transitioned from the addition formula to the multiplication formula. For example, let the students observe the pile of pine cones. There are five pine cones in one pile, and how many pine cones are in two piles (it can be expressed as 5 + 5 = 10, or 2 × 5 = 10), and so on. Gradually construct the multiplication formula of 5. - As for the difficulty of using the multiplication formula to solve practical problems in life, one could create life situation questions, such as calculating how many bags a certain number of pine cones could be packed, and let the students use the formula to answer them to test the students 'mastery and application of knowledge. 2. * * Method and process ** - In the process of teaching, many teachers adopted independent inquiry learning methods, such as inquiring deskmate discussions and group cooperation. It was convenient and fast to communicate with the students at the same table. When the students had mastered a certain method and needed to summarize in time, it was better to let the students summarize. For example, when writing the multiplication formula of 5, the teacher would demonstrate it first, then let the students participate in the form of half-support and half-release. Finally, the students would work together to write the formula. This process of "support" to "release" followed the students 'cognitive law, from concrete to abstract, from perceptual to rational. It allowed the students to actively participate in the whole process of knowledge, and initially cultivated the students' learning ability. - At the same time, there were also teachers who designed a large number of games, such as using passwords when memorizing the pithy formula, picking fruits during practice, etc., which embodied the concept of "learning by doing, learning by playing", so that students would be happy to remember and remember firmly, increasing the fun of learning. 3. * * Emotions, attitudes and values ** - In the entire teaching process, when the students could correctly write the pithy formula and use the pithy formula to solve the problem, they could experience the joy of success and increase their confidence in learning mathematics. Moreover, in the process of group cooperation, it could cultivate the students 'sense of cooperation and team spirit. * * 2. The effectiveness of teaching methods ** 1. * * Intuitional teaching ** - As the second grade students mainly relied on intuitive teaching aids to think, they could use methods such as placing small sticks to let the students understand 1 5, 2 5... and thus understand the meaning of multiplication. For example, students could use small sticks to arrange a pile of pine cones in groups of five. They could understand the multiplication formula and the formula through the intuitive number of small sticks. 2. * * Heuristic Teaching ** - In teaching, the teacher inspires the students to think by asking questions, such as "How many pine cones are there?" How to express it with a multiplication formula? Can you try to make up the rest of the chants?" Wait for the question. These questions were designed with a clear direction, allowing the students to clearly know what to do and how to do it. It not only allowed the students to use their brains to think, but also provided the students with an opportunity to develop their language. * * 3. Inadequacies and improvements in the teaching process ** 1. * * Not enough ** - In the teaching process, there might be some students who did not have a deep understanding of the multiplication formula, especially in terms of memorizing the formula and flexibility in application. For example, students might not be able to quickly and accurately choose the appropriate multiplication formula to calculate when solving some slightly complicated practical problems in life. - There might be problems with individual students 'low participation in the classroom interaction. In group cooperation, some students might rely on other students and lack the awareness of active thinking and active participation. 2. * * Modification ** - More types of exercises could be added to the understanding and application of the pithy formula, including some challenging expansion exercises, such as reverse thinking questions (knowing one factor of the product and finding another factor) to deepen the students 'understanding and application of the multiplication formula. - In order to increase student participation in class, in group cooperation, the tasks and responsibilities of each student could be clearly defined. For example, a group leader could be set up to supervise and encourage each member to participate. At the same time, teachers should pay more attention to students who did not participate much during the inspection process and give timely guidance and encouragement. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Beijing Normal University edition third grade unit 5 lesson plan and reflection
The following is the teaching reflection and teaching design ideas of the fifth unit of the third grade of Beijing Normal University: - ** Academic situation analysis **: Students 'concept of space is still in the initial stage of development. It is easy to confuse the concept of area and perimeter of the surface of an object. Some students have a vague understanding of area and perimeter, and it is difficult to distinguish between area units and length units. Therefore, teaching should let students touch and perceive the surface of the object more, experience the difference between the surface and the edge, and deepen the understanding of the meaning of "area". The unit of area was abstract. The teacher had to let the students use a certain part of the body or the surface of a familiar object as a reference to associate the unit of area with the size of the surface of the familiar object to make it concrete and vivid. - ** Teaching process assumption **: - Two methods to measure the area of a rectangular object in units of area can be presented. The first method was to use the area units to cover the rectangular shape without overlapping and without gaps, and the number of area units used was the number of rectangular areas. The second method was to use the area units to fill the length and width without densely covering the rectangular shape, and calculate the number of area units needed to fill the rectangular shape. Let the students choose their own method to measure the area of two rectangular shapes. Through observing the data, he found that the formula for calculating the rectangular area was " rectangular area = length x width " and verified it. From the special to the general induction, the formula was derived. For example,"length x width" was equal to "the number of length units contained in the length x the number of length units contained in the width", which was equal to "the number of rows x the number of rows". The square area calculation formula could be derived by analogy with the rectangular area formula. It could also be derived from the rectangular area formula by using the square as a special rectangular. - In teaching, students could be guided to do small research before class. Combined with the "non-linear" group cooperative learning mode, the traditional teaching mode could be broken, the teaching links could be simplified, the systematic explanation could be weakened, the process control could be weakened, and the students 'thinking could be activated. For example, it could allow students to study the basics of a rectangular shape, the concept of area, and the units of area. They could understand that the essence of area was the accumulation of the number of units of area. This process would also lay the foundation for the subsequent study of the surface area of a hexagon and a three-dimensional figure. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Reflection on the Ancient Counting in Beijing Normal University
The following is the after-class reflection on the ancient mathematics class of Beijing Normal University: ** 1. Success ** 1. ** Knowledge Connection and Transfer ** - In terms of curriculum introduction, it could better communicate the connection between old and new knowledge. For example, through the duck counting game activity, while increasing students 'interest, it allowed students to learn new knowledge on the basis of reviewing old knowledge, which was convenient for knowledge transfer. 2. ** Diverse teaching methods ** - In the teaching process, students were allowed to participate in many ways, such as putting sticks, thinking, and expressing themselves. The activity of placing sticks allowed the students to experience the difference between a bundle of sticks representing one ten and several ones, so that the students could obtain a successful learning experience. 3. ** Multi-media application ** - Using a multi-media image to attract the students 'attention. Moreover, the student's answer could receive immediate feedback, which would help stimulate the student's interest in learning. 4. ** Practicing design ** - The purpose of the exercise was clear, suitable for the child's age, and interesting. Not only did it consolidate the knowledge of 11 - 20 numbers, the composition of numbers, the order and size of numbers, but it also cultivated the students 'thinking ability, and at the same time penetrated the ability to think and cooperate. 5. ** Reflection of teacher-student interaction ** - It reflected the two-way activity between teachers and students. The teacher guided the students to perform operations such as " counting "," bundle "," dial "," speak ", and " draw ". The students were given a preliminary experience of 10 ones being 1 ten, as well as the order and size of the numbers 11 - 20. Teachers ask questions like "What do you see?" "What did you think of?" "What else do you know about these numbers?" He guided the students to explore and think. ** 2. Inadequacies ** 1. ** Evaluation Method ** - The evaluation method in the classroom was relatively simple, and the evaluation content was dull and lacked targeting, resulting in the evaluation function not being fully utilized. 2. ** Teacher's Words ** - Teachers talk too much and their language is not refined enough. They should give students more opportunities to express themselves and pay attention to guidance. 3. ** Focus on Students ** - He only paid attention to a few active children and failed to take into account all the students. He should try to ask every child. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Reflection on the Midterm Teaching of the Second Volume of the Sixth Grade Mathematics in Beijing Normal University
In the second volume of the sixth-grade mathematics semester, there were the following reflections. The teachers found many differences and perplexities in the process of teaching the sixth grade mathematics many times. Although there were innovation and improvements in this semester's teaching, such as grasping the key points to develop the students 'thinking and comprehensive application ability, there were still some problems. 1. [Problem with the progress of underachievers: After investing more time and energy in underachievers, the improvement in their grades will be small, and there will be a gap between their results and expectations.] They forgot knowledge quickly, and soon forgot what they had just been taught. It was difficult to make up for the accumulation of knowledge during comprehensive practice. 2. ** Students 'thinking and application ability problems **: Some students are not good at using their brains to think, drawing inferences from one instance, and passively accepting knowledge. He was not good at using knowledge to solve more complicated application questions, nor did he use line diagrams to help understand the meaning of the questions. 3. ** Study habits ** - ** Calculating Habits **: A small number of students have not developed good calculating habits. - ** Question review habit **: Some students do not review questions carefully, and they are prone to making mistakes in simple questions. - ** Checking Habits **: A small number of students do not check or do not check after they finish the questions. They turn a blind eye to obvious mistakes or are too lazy to check. 4. ** Comprehensiveness of teaching **: There are some inadequacies in the teaching process. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Beijing Normal University edition second grade unit 7 math lesson plan and reflection short
The teaching objectives included understanding the concept and symbolic representation of angles, feeling the size of angles and mastering the measurement unit, learning the naming method of angles and the properties of similar angles, observing the differences and similarities of angles in graphs, understanding the concept of addition of angles, etc. In the teaching process, the teacher first explained the concept of angle through physical objects or schematics, guided the students to discover the characteristics of angle, and then explained the measurement unit of angle. In terms of sensing the size of the angle, the teacher guided the students to use tools to measure the angle and let the students master the measurement method. In the study of horn naming and nature, it explains the naming methods of different types of horns to students and guides them to understand their nature. Teaching reflection was not mentioned and could not be given. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Singing competition teaching plan fourth grade second volume Beijing Normal University edition reflection
The teaching reflection for the 'Singing Competition' lesson was as follows: ** I. Understanding the difficulty of the teaching content ** The content of the first textbook was simple because the mixed operations in this section of the textbook were from the third grade. The only difference was that the number field changed from an integral to a decimal. Moreover, due to the previous infiltration of the decimals, many students already knew about the decimals. It seemed that the addition and deduction of decimals should not be difficult, but this was not the case in actual teaching. ** II. Students 'problems in calculating details and countermeasures ** 1. ** Calculating the details ** - In terms of decimal point alignment, the phenomenon of last digit alignment and addition often appeared in calculations. - In terms of digit alignment, when adding and deducting one and two decimals, students would easily misplace the addition. - Students were most prone to making mistakes when it came to advancing and retreating. 2. ** Countermeasure ** - According to the current teaching situation, the teaching progress should be adjusted in time. One class should be used for special calculation training to strengthen the students 'habit of careful calculation. ** 3. Difficulties and breakthrough methods for simple calculation of addition and reduction ** 1. ** Difficulty ** - In this chapter, the simple calculation form is the property of the substitution,[a - b - c=a-(b + c)]. Although the mathematical theory can use the addition of the commutative law and the association law to guide the students to understand, it is not enough to rely on these. 2. ** Breakthrough Method ** - Set up a shopping scene to stimulate students 'interest. Comparing supermarket shopping (first calculate the total price of the goods before paying, such as "6-(2.15 + 0.85+2.05)") and Ministores shopping (buy one by one, such as "6 - 2.15-0.85 - 2.05"), so as to successfully overcome the difficulty. ** 4. Guide students to pay attention to and understand the importance of other people's algorithms and how to implement them ** 1. ** Important ** - In the teaching of computing, when students have many algorithms, guiding students to pay attention to other people's different algorithms can help deepen their understanding of the algorithm. 2. ** Realization Method ** - Guide students to summarize and improve different algorithms, and let students discover the internal connections between various algorithms. This process was achieved through the students 'independent communication after all the students had fully experienced the process of exploring the algorithm optimization. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>
Teaching plan and reflection of mathematical equation teaching in Beijing Normal University
The following is a Beijing Normal University version of the mathematical equation teaching design lesson plan and reflection: ** 1. Teaching plan ** 1. ** Teaching goal ** - Understand the concept of equations based on specific situations, and be able to accurately write equations and answer them. - Master the solution of the one-dimensional equation and use the equation to solve practical problems. - Cultivate students 'logical thinking and problem solving skills. 2. ** Teaching Focus ** - Understand the meaning of equations and grasp the basic concepts. - Master the solution of the linear equation. - Cultivate students 'ability to analyze and solve problems. 3. ** Teaching content ** - Concepts and basic symbols of equations. - The method to solve the linear equation. - Using equations to solve practical problems. 4. ** Teaching process ** - ** Class One: Concepts and Basic Symbols of the Formula ** - ** Introduction **: Draw out the concept of equations through real life examples to stimulate students 'interest. - ** Introduction **: Explain the equation definition and basic symbols (equal sign, unknown number, coefficient, etc.). - [Description: Explain the meaning and function of each part of the equation in detail.] - ** Practice **: Give a simple equation for the students to analyze and answer. - ** Expansion **: Let the students design equations and solve them in the form of a game. - ** Class 2: Solution to the One-Yuan Primary Formula ** - ** Review **: Review the concepts and basic symbols of equations. - ** Introduction **: Introduction to the concept and characteristics of the one-dimensional linear equation. - ** Explanation **: Explain in detail the solution of the one-dimensional linear equation (shifting terms, combining similar terms, separating unknown numbers and parameters, solving, etc.). - ** Practice **: Give examples to guide students to solve. - ** Expansion **: Design an expansion problem for students to solve using their knowledge. - ** Third lesson: Using equations to solve practical problems ** - ** Review **: Review the method to solve the one-dimensional linear equation. - ** Introduction **: An application scenario where equations are introduced to solve real-life problems. - ** Explanation **: Explain in detail how to convert a practical problem into an equation and solve it. - Practice: Give students practical problems to design equations and solve them. - [** summary **: Review what you have learned and summarize the function of equations in solving practical problems.] ** 2. Reflection on Teaching ** Using the elicitation teaching method, it focuses on cultivating students 'logical thinking and problem solving ability. In the teaching process, through explanation, practice, and expansion, students were gradually guided to master the concept of equations, the solution of one-dimensional equations, and the application of equations in solving practical problems. Teachers gave students timely guidance and feedback to help them overcome difficulties and improve their ability to solve problems. Through such teaching, students could understand the meaning and basic symbols of equations, skillfully solve one-dimensional equations, and apply knowledge to practical problems. <a href="/?from=ask_words" style="color:red" target="_blank">Read more exciting novels for free</a>