How to Cultivate Students' Reasoning Ability

Gou Shuo, a student of the 11th Primary School in Diaobingshan City, is a master of learning. Cultivating students' ability to express problems, communicate and form the consciousness of using mathematics is one of our main purposes in the process of mathematics teaching. The expression of mathematical language is also a reflection of students' mastery of knowledge. In the current mathematics education under the new curriculum, he not only pays attention to students' understanding, mastery and application of knowledge, but also requires students to learn from the perspective of mathematics. Reasoning some questions by using mathematical knowledge. Recently, many exams will have some questions that need students to reason, but our students often write a lot but don't express their ideas, pay attention to organization and can't stick to the questions themselves. Not only does it lack the minimum integrity, let alone the proper organization and accuracy, so if students want to express their reasoning in words, they must first ask teachers to have the consciousness of cultivating students' reasoning ability in mathematics classroom, and then how to implement this consciousness. First, stimulate interest and let students "want to say" As the saying goes: "Interest is the best teacher, and all kinds of activities we engage in are caused by certain motives and interests." Teaching practice has proved that keen interest is the catalyst of learning and the key to improving students' intelligence and grades. Interest in learning is the most important motivation for students to acquire knowledge, broaden their horizons and enrich their psychological activities. It is also the most positive and realistic thing in learning. No matter how scientific and reasonable the teaching carrier, advanced teaching methods and modern teaching means are, if students are not interested at all and can't lift their spirits, any independent learning and independent inquiry will be empty talk. Due to the knowledge level and age characteristics of primary school students, it requires that various methods should be used in the teaching process to fully mobilize students' learning enthusiasm and cultivate their strong interest in learning. Therefore, as a teacher, we can't just bury ourselves in teaching, regardless of students' reactions, we must study students' learning, arouse their enthusiasm and make them interested in learning, which is very important to improve our teaching quality. Second, create situations and give students a chance to speak. Under the new curriculum concept, students should not only "read" mathematics, but also "do" mathematics and, more importantly, "speak" mathematics. In teaching, we can create opportunities for students to speak from the following aspects. (a) graphics, physical objects, cultivate students' ability to describe observation materials. The new textbook provides students with many basic materials that can be seen, heard and touched. Teachers can purposefully and systematically guide students to observe, compare and think in a certain order, and actively think in observation and perception, and then let students describe the observation process in clear mathematical language, which can not only train students' thinking, but also help to cultivate their mathematical language expression ability. (2) Students think, explore and express in activities. Each chapter of the new textbook provides students with many opportunities to "do" mathematics. When instructing students to operate, teachers should pay more attention to let students describe the operation process in mathematical language in an orderly manner, express the thinking process of acquiring knowledge, and organically combine hands-on operation with oral expression to achieve the organic combination of language expression and thinking activities. (3) Classroom performance and homework standardize the organization of students' problem solving. In practical teaching, teachers should pay attention to the accuracy, hierarchy and consistency of students' expression in answering questions, classroom performance and extracurricular homework, so that students can be specific, accurate and complete. Many teachers only care about answers and keywords in teaching. When students answer questions, they often just stand up and say part of the content. In order to catch up with the progress and time of class, the teacher immediately stopped the students from answering, "Oh, I see what you mean." Then the teacher will help the students complete the standard answers that the students fully know; When correcting homework, teachers pay more attention to the right or wrong results, and take an indifferent attitude towards students' writing, expression or other language narration, ignoring the cultivation of students' expressive ability. Third, standardize your behavior and set an example for students. Students have a strong ability to imitate, and teachers' words and deeds have a strong influence on students. Therefore, teachers should develop good teaching habits and set an example for students in the usual teaching process. (1) language should be standardized. In the teaching process, teachers strive to use words accurately, concisely, clearly, coherently and logically. This requires teachers to constantly improve their language literacy, which has a good influence on the formation of students' reasoning ability through the exemplary role of teachers' language. In a math class, the textbook usually only needs two or three pages, and if you follow the book, it only takes a few minutes. However, to turn this material into forty minutes of teaching content, it needs several times of language to enrich it. From the introduction of new courses, the occurrence of knowledge, the creation of problem situations, the exchange of feelings between teachers and students, the creation of educational atmosphere, the design of teaching, review and summary, all of them show the skills of using language art as a math teacher. The influence of teachers promotes the formation of students' mathematical language. (2) The blackboard writing should be standardized. If a teacher scribbles on the blackboard casually in class, students' thinking and homework will definitely be in a mess. This has affected the development of students to some extent. Over time, students will even have clear thinking, but they will not express it in words. Therefore, when writing concepts, theorems, examples and answers on the blackboard, teachers should pay attention to the strict order and structure, so that students can always keep their thinking clear and their language expression reasonable and orderly. Fourth, effective cooperation and communication, strengthen mathematics language "New Curriculum Standard" points out that students are the masters of mathematics learning, and teachers are the organizers, guides and collaborators of mathematics learning. Hands-on practice, independent exploration and cooperative communication are important ways for students to learn mathematics. The new mathematics classroom should be a dynamic, positive and personalized classroom. In the atmosphere of independent exploration, personal practice, group discussion and cooperative communication, students can get rid of confusion, think more clearly and have the opportunity to share their ideas with their classmates. By doing so, every student has the opportunity to speak and listen to others. Have the opportunity to express their views in front of several people and the whole class. In order to express the meaning of this group, students should think, listen and organize more actively, use old and new knowledge flexibly, make themselves in the excitement of active learning, understand mathematics through personal experience and exploration, solve problems, understand and master basic mathematical knowledge, skills and methods, and then cooperate and communicate. Listen, question, persuade, popularize and exercise language expression ability in the atmosphere of sharing and thinking with others. In short, in teaching, let students express the observation process, operation process, arithmetic and problem-solving ideas and the thinking process of acquiring knowledge in accurate, refined, clear and complete language. Over time, students can think and speak, which can not only cultivate students' mathematical language expression ability, but also promote the development of students' thinking ability. The cultivation of mathematical language is an important task in teaching. As a math teacher, we should pay attention to the cultivation of students' mathematical reasoning ability in teaching, and put language teaching throughout the teaching process, so that students can speak from daring, speaking, arguing to speaking, thus promoting the development of thinking.