A Study On The Mistakes Of Multiplication And Division Of Decimals In Grade 5 Pupils

The operation between number and number is an important part of "number and algebra" in the content of elementary school mathematics curriculum,and it also bears the important responsibility of cultivating students' "number sense".Decimal calculation is an important stage for students to further learn the calculations between numbers after they have learned integer calculations.In this stage,students will make more calculation errors,which poses greater challenges to teachers' teaching.Therefore,in order to enrich the relevant content of the study of elementary school students' decimal calculation errors and face up to the occurrence of mathematical errors,the author conducts research on the calculation errors of decimal multiplication and division.There are six chapters in this research.First of all,it is the introduction,including five sub-sections: the questioning,the significance of the research,the theoretical basis of the research,the literature review,and the definition of the concept.The literature review part elaborates on the domestic and foreign research on errors and the domestic and foreign research on the mathematics calculation errors of pupils.The second chapter is research design.This research first uses the literature research method to understand the error situations that the fifth grade students are prone to in the calculation of decimal multiplication and division,and then collects as many calculation errors of the students as possible through homework,etc.and classifies these performances.Then,the author here Based on the test method,the students in the two classes are diagnosed on the types of calculation errors.Finally,the reasons for the errors are analyzed based on the relevant pedagogy and psychological theories and teaching suggestions are made.The third chapter is the calculation error performance of decimal multiplication and division and the classification of calculation errors.Based on the five calculation types: decimal multiplied by integer,decimal multiplied by decimal,decimal division with integer divisor,decimal multiplication with decimal divisor,and approximation of product(or quotient),the specific performance of the wrong question is shown separately,and then integrated All the wrong questions are classified into nine categories: 1.Basic addition and subtraction,multiplication errors in the table;2.Errors in the position of the decimal point;3.Errors in the vertical rule of decimal multiplication and division;4.Incorrect writing errors;5.Copying errors;6.Unreasonable errors in "Trial Business";7.Errors in "0";8.Errors in taking approximate values;9.Errors in unfinished questions.The fourth chapter is the preparation and implementation of test papers and the analysis of test results.Through the preparation and implementation of test papers,the types of calculation errors of fifth-grade students were diagnosed.In order to make the research more scientific,the author also conducted case analysis of three students and formed a personalized report.The fifth chapter is the analysis of the reasons for calculation errors and teaching suggestions.Through the classification and diagnosis of calculation errors in decimal multiplication and division,combined with related theories,the author puts forward the corresponding teaching suggestions for each type of calculation error.The sixth chapter is the research summary and outlook.Through the entire study,the author draws the following conclusions:1.Dividing a decimal by a decimal is a difficult content in the multiplication and division of decimals.Elementary school students are easy to make mistakes in various ways.2.The original calculation ability of elementary school students is the main reason that affects the calculation accuracy of decimal multiplication and division.3.Teachers should pay attention to the original knowledge structure of students,connect the relationship between new knowledge and old knowledge,and play the role of positive transfer efficiently.4.The study habits of elementary school students are a long-term process,and it takes a long process to get rid of bad habits.5.Primary school students are easy to make the certain mistakes in several types of mistakes.Therefore,teachers' targeted guidance to students can achieve a multiplier effect with half the effort.