Multiplication with the same base is a teaching and research course I opened this week. The learning goal is to let students master the nature of the same base power multiplication and use it to make related calculations. In addition, it is another goal of this course to cultivate students' exploration and induction ability and infiltrate relevant mathematical ideas into students.
The design intention of this lesson is to take "observation-induction-generalization-consolidation" as the main clue, so that students can acquire knowledge through independent exploration and cooperative exchange, and students at different levels can gain and develop. According to the teaching feedback of this class, the problem situation created aroused students' strong interest in learning. Under the guidance of teachers, students are sometimes relaxed and happy, and sometimes they are observing, calculating, thinking, communicating and summarizing, and their thinking ability and organized language expression ability are cultivated. Understanding mathematics and solving problems in personal experience and exploration, finding out the difference between them in summary, and understanding the power of the same base in essence can cultivate the spirit of cooperation and better accomplish the teaching objectives of this course.
The disadvantage is that time is hasty and the gradient is not enough in the process of improving students' thinking. In the future, we should strengthen research, learn from others and constantly improve our own level in all aspects. The focus of this lesson is to let students experience the process of exploring the law (nature) of power with the same base, and then understand its operational nature, and use this nature to solve some practical problems related to power with the same base. Judging from the lectures and exercises in class, students' reasoning ability and organized symbolic expression ability have been developed to a certain extent when exploring its essence. This course adopts the teaching mode of learning plan guidance, and makes in-depth study of each process. In autonomous learning, the content of the textbook is set into several questions, from easy to deep, from easy to difficult. In cooperative inquiry, we can take students as the center, let students participate in it, and let students have problem consciousness and inquiry desire. Pay attention not only to the process, but also to the results and applications. Before class, I carefully designed the inquiry scheme, selected and organized the appropriate teaching materials; In the process of guiding teaching, students are the center, and various judgments are constantly made to stimulate and encourage students to learn and explore; Asking questions is not only orderly, suggestive, encouraging and enlightening, but also suspicious. At the same time, guide students to pay attention to these points: (1) exponential addition instead of multiplication (2) negative numbers and fractional powers with brackets (3) the law should be flexibly reversed (4) exponential addition is 1. The main teaching task of this course is "the operational nature of power with the same base", that is, power with the same base, constant base and exponential addition. In classroom teaching, guide students to explore and discover this attribute through the meaning of power. This process is smooth and the effect is satisfactory. Examples of students completing textbooks
In the first and second cases, the correct rate is higher. In order to deepen the understanding of this property, same base powers's multiplication, power multiplication and centralized addition and subtraction of algebraic expressions are also distinguished, which students can basically identify clearly. On this basis, the reverse application of the same base power rule is discussed. The above teaching links have been implemented smoothly and the effect is satisfactory.
Looking back on this class, we can see that this class has a good grasp of the progress of the teaching process, clear organization and good classroom atmosphere, and basically achieved the teaching objectives. But there are still some shortcomings. For example, the design of the exercises behind lacks originality, the difficulty has not changed, and the form is relatively simple, which can not better mobilize the enthusiasm of students. Forgot to return to the unresolved problems left in the initial scene import. In addition, the classroom language should be standardized and concise.
In the future teaching, when setting the teaching goal of a class, we should first complete the basic requirements of the textbook according to the actual situation of students, and pay attention to the difficulty of further excavating the knowledge points extended by the textbook. Secondly, in classroom teaching, the design of exercises should be varied and gradient. Based on the basic goal, we should practice more, and organize students to explore some special questions and problem-solving skills after students master them skillfully. As a new teacher, I lack rich teaching experience, which requires me to learn more from the old teacher, attend more lectures and reflect more in the future teaching process. Learn more teaching theories and strive for a breakthrough in classroom teaching forms.