The question tactics of solving a problem of fourth grade primary school pupil's integer arithmetic and research of the wrong type

• Main Authors: Kuo-Hsiung Chen, 陳國雄
• Other Authors: Ching-Hua Chien
• Format: Others
• Language: zh-TW
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/54469325526723445066

碩士 === 國立屏東教育大學 === 數理教育研究所 === 95 === This research is based on theory of solving a problem of Mayer (1987 ), probes into fourth grade primary school pupil's integer arithmetic question; as well as displaying ability, tactics , fault types and reason of fault solving. This research divided the arithmetic question of the integer into four kinds. By using “Arithmetic issue of the integer to solve a problem and test” which is made up by myself, a written examination was carried out to test to a fourth grade primary school pupil. The effective sample amounts to 107 people. Behave in accordance with solving a problem after the written examination is divided into groups, then nine pupils were elect to talk individually. Study the main result as follows: Firstly, analysis displayed the student performance of solving a problem and behavior of the course. The fourth grade primary school pupil solves a problem in four fundamental rules for different kinds of integer questions. In adding, subtracting two step and multiplication , division two steps type issue question sheet behave good relatively. In the other adding/subtraction, multiplication two step and adding/subtraction, division two steps type issue question sheet behave worse. Secondly, analysis of students' tactics of solving a problem That pupils has in the tactics used of the different kinds of questions of integer arithmetic. use the operation law specialized in or teaching recently, determined the operation symbol by the digital size, have tried all operation electing the most proper answer, utilize the key word, guess first answer is great(with taking multiplication or addition ) or small (with taking subtraction or division). Thirdly, the fault types and analysis of the reason that students’fault solving The wrong type and reason that the pupil often makes a mistake while solving a problem as follows: The operation mistake of the addition and subtraction, The carry operation mistake of the addition and borrowing concept of the subtraction does not know, The straight type of multiplication and division can't calculate skilled, Misuse the operation symbols of the multiplication and division, Lack of base mould knowledge of the associative law of multiplication, Will not use and type and associative laws form of division will be sought, Have not Agreed on according to the calculation of arithmetic, Have not distinguished and calculated the order priority with the bracket, Lack basic mathematics knowledge and concept, Misuse information and known condition, Lack of the ability to estimate, Misunderstand the number value of the topic, The fault form seeks the arranging type, Use the operation symbol wantonly, Watch seeks the formula incompletely. Key word：The four fundamental operations of arithmetic, tactics of solving a problem, problem solving processes.