## دراسة أخطاء طلبة الصفين الخامس والسادس الأساسيين ومقارنتها في جمع الكسور العادية وطرحها في مدارس لواء نابس

دراسة أخطاء طلبة الصفين الخامس والسادس الأساسيين ومقارنتها في جمع الكسور العادية وطرحها في مدارس لواء نابس

##### Abstract

This study aimed to investigate the errors of the 5th and 6th basic grades in the addition and subtraction of vulgar fractions. In particular, the study tries to give answers to the following questions:
1- What is the average score of the 5th ar1d 6th basic grades in the exam of addition and subtraction of vulgar fractions? is this average affected by the differences in the educational level, the sex or the location of the school?
2- What is the ratio of the pupils who suffer from weakness in the addition and subtraction of vulgar fractions in the 5th and 6th basic grades? is this ratio affected by the differences in the educational level, sex, or the location of the school?
3- What are the errors committed by the pupils f the 5th and 6th basic grades in the addition and subtraction of vulgar fractions? the ratio of the errors affected by the differences in T the educational level, sex or location of the school? The population of the study consisted of the pupils of the 5th and 6th basic grades in governmental schools in Nablus District in the scholastic year 1994/1995.
The sample of the study consisted of (256) pupils (males and females) , who were chosen by the method of random sampling. This study used an acquisition test prepared by the researcher, the validity of the test was acertained by being shown to a board of specialist referees, the reliability coefficient was calculated according to Kuder - RichardSon equation 20 alter being applied to an experimental sample, outside the sample of the study, where the reliability coefficient was 0.91 for the sixth. grade and0.90 for the fifth grade.The researcher processed the data after being collected and (classified, by use of computer, and by means of the Statistical Package for Social Sciences (SPSS).
The truth of the hypotheses was investigated by means of the following statistical tests: t- test, for two independent samples, Two way Analysis of variance (ANOVA), and Tukey test for dual comparisons. ip The results of the statistical analysis, reached by the researcher indicated the following:
1- There exists significant differences at level of significance (α<= 0.05) between the average scores of the 5th and 6th basic A grades in the test of addition and subtraction of vulgar fractions ascribed to the variable (educational level, sex, and i location of school).
2- There exists significant difference at the level of significance A (α<= 0.05) between the ratios of pupils who suffer from weakness in the test of addition and subtraction of vulgar Hactions ascribed to the variable (educational level, sex, and location of school).
3- No significant differences were found at the level of significance (α<= 0.05) between ratios of pupils who suffer from weakness in addition and subtraction of vulgar fractions ascribed to the sex variable.
4- There exist significant differences at the level of significance(α<= 0.05) between the ratios of the errors committed by pupils of the 5th and 6th basic grade ascribed to the variable (educational level, and location of school).
5- No significant differences were found at the level of significance (α<= 0.05) between the ratios of errors committed by pupils of the 5th and 6th grade ascribed to sex.
In the light of the results and data contained and implied by Q the study, the researcher recommends taking action to t increase the time given for math. education for the 5th and 6th basic grades, she also recommends those responsible for promoting pupils to rebuild the criteria for promotion and r failure of pupils, and giving more attention for the schools in pt the country side and equating them with those of the city. She it also recommends that parents should cooperate more with the Y school and pay greater efforts and follow - up of the activities - of their children.
The researcher also recommends that more studies should be made regarding the potential causes of weakness of pupils in the addition and subtraction of vulgar fractions, and similar studies be made regarding the errors of the 5th and 6th basis grades in other concepts and skills like multiplication and division of vulgar fractions. This study aimed to investigate the errors of the 5th and 6th basic grades in the addition and subtraction of vulgar fractions. In particular, the study tries to give answers to the following questions:
1- What is the average score of the 5th ar1d 6th basic grades in the exam of addition and subtraction of vulgar fractions? is this average affected by the differences in the educational level, the sex or the location of the school?
2- What is the ratio of the pupils who suffer from weakness in the addition and subtraction of vulgar fractions in the 5th and 6th basic grades? is this ratio affected by the differences in the educational level, sex, or the location of the school?
3- What are the errors committed by the pupils f the 5th and 6th basic grades in the addition and subtraction of vulgar fractions? the ratio of the errors affected by the differences in T the educational level, sex or location of the school? The population of the study consisted of the pupils of the 5th and 6th basic grades in governmental schools in Nablus District in the scholastic year 1994/1995.
The sample of the study consisted of (256) pupils (males and females) , who were chosen by the method of random sampling. This study used an acquisition test prepared by the researcher, the validity of the test was acertained by being shown to a board of specialist referees, the reliability coefficient was calculated according to Kuder - RichardSon equation 20 alter being applied to an experimental sample, outside the sample of the study, where the reliability coefficient was 0.91 for the sixth. grade and0.90 for the fifth grade.The researcher processed the data after being collected and (classified, by use of computer, and by means of the Statistical Package for Social Sciences (SPSS).
The truth of the hypotheses was investigated by means of the following statistical tests: t- test, for two independent samples, Two way Analysis of variance (ANOVA), and Tukey test for dual comparisons. ip The results of the statistical analysis, reached by the researcher indicated the following:
1- There exists significant differences at level of significance (α<= 0.05) between the average scores of the 5th and 6th basic A grades in the test of addition and subtraction of vulgar fractions ascribed to the variable (educational level, sex, and i location of school).
2- There exists significant difference at the level of significance A (α<= 0.05) between the ratios of pupils who suffer from weakness in the test of addition and subtraction of vulgar Hactions ascribed to the variable (educational level, sex, and location of school).
3- No significant differences were found at the level of significance (α<= 0.05) between ratios of pupils who suffer from weakness in addition and subtraction of vulgar fractions ascribed to the sex variable.
4- There exist significant differences at the level of significance(α<= 0.05) between the ratios of the errors committed by pupils of the 5th and 6th basic grade ascribed to the variable (educational level, and location of school).
5- No significant differences were found at the level of significance (α<= 0.05) between the ratios of errors committed by pupils of the 5th and 6th grade ascribed to sex.
In the light of the results and data contained and implied by Q the study, the researcher recommends taking action to t increase the time given for math. education for the 5th and 6th basic grades, she also recommends those responsible for promoting pupils to rebuild the criteria for promotion and r failure of pupils, and giving more attention for the schools in pt the country side and equating them with those of the city. She it also recommends that parents should cooperate more with the Y school and pay greater efforts and follow - up of the activities - of their children.
The researcher also recommends that more studies should be made regarding the potential causes of weakness of pupils in the addition and subtraction of vulgar fractions, and similar studies be made regarding the errors of the 5th and 6th basis grades in other concepts and skills like multiplication and division of vulgar fractions.