The effect of using the Proof Without Words Method on the Results, and the Tranfer of learning Among the scientific the first grade Secondary Students in Nablus

This study aimed to investigate students' achievement in the unit series and sequences using a model to proof without words, specifically the study tried to answer the following question Are there differences that of statistical significance between students result's in the sequences and the series units and if transfer of learning unpact can be interrupted to the teaching strategy 3- To answer the study questions and to test the hypotheses, the study has been applied on asample consisted of 89 female students from the first grade secondary science,where two sections were chosen deliberately. the two sections were devided into one experimental taught with the no words proof way but the other one was taught in the traditional way (as usual) according to the textbook. 4- To measure the equivalence between the two groups , the researcher used a protest which was justified it's persistence was calculated using the coder Richardson equation (20). it's value was (0.88) , Moreover the researcher used dimensional achievement test to measure the results of students after they finished from applying the method of teaching , it's sincerity approved by the jory , and calculated its persistence using coder Richardson (21). it's value was (0.82) was received , and data was analyzed using t-test for two independent groups, that the statistical analysis showed the following results:- Theres a statistical significance diffirences with level (α = 0.05) between the mean grades of the experimental group that were taught by proof without words way and the other group that was taught in the traditional way on the total grades of the dimentional achievement test , and for the experimental group. 5- There is a statistically significant difference at the level of significance (α = 0.05) between the mean grades of the experimental group students those who were learnt by the no words proof way & the traditional ones in concept understanding generalization , knowledge of procedure ,problems , solutions and the transmission impact learning for the experimental group. As a conclusion of these results , the researcher a duised many things, the most important are:- 1- to benifite from the study results , recommendations and its learning method. since it showed impact on students and attitudes and marks. 2- the necessity of training math teachers to use the no words proof way , because it shows , real support for the school curriculum of math school. and the leaner understanding. 3- To connect the no words proof with teaching and to procede more studies an proof and to improve it.