Tishreen University Journal for Research and Scientific Studies - Arts and Humanities Series Vol. (33) No. (3) 2011.

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1 2011(3) (33) _ Tishreen University Journal for Research and Scientific Studies - Arts and Humanities Series Vol. (33) No. (3) 2011 (Van Hiele) ( ) (2011 / 8 / / 4 / 5 ), ( ) (400) ),.(1994,,,,, ( ), ( )..,., :

2 , (Van Hiele) ( ) 2011(3) (33) _ Tishreen University Journal for Research and Scientific Studies - Arts and Humanities Series Vol. (33) No. (3) 2011 The Distribution of Van Hiele's Levels of Geometrical Thought in Eighth-Grade Students: A Case Study of Lattakia Dr. Hashim Ibrahim Ibrahim Ragda Malek Nassour (Received 5 / 4 / Accepted 4 / 8 / 2011) ABSTRACT This study aimed to extent of the distribution of the Van Hiele levels in geometrical reasoning in eighth grade students, And a random sample of 400 fourth grade students was chosen from both genders from the public schools in the city and countryside of Lattakia, The research used the Van Hiele geometry test (translated into Arabic by Dr. Nasr-Allah Muhammad Mahmoud and assistant teacher Ahmed Muhammad Manzour, 1994). With regard to non-zero formulated hypotheses: the Van Hiele levels of geometrical reasoning are present with varying degrees in eighth grade students. The results of most students in the study sample in the administered Van Hiele test converged on the mean. With regard to zero formulated hypotheses: the study did not find any differences with statistical nificance between male and female achievement in both the Van Hiele Geometrical Test, the study found differences of statistical nificance in the achievement of urban and countryside students to the advantage of city students in the Van Hiele Test,.. There are no differences of statistical nificance in the mean achievement between male and female countryside students in the Van Hiele Geometrical Test. There are no differences of statistical nificance in the mean achievement between male and female city students in the Van Hiele Geometrical Test. In the light of the results of this study, the researcher recommended a series of recommendations. Keywords: Van Hiele Levels, Geometrical Thought Assistant professor, Department of Curriculum and Teaching Methods, Damascus university, Damascus, Syria. postgraduate student, Department of Curriculum and Teaching Methods, Damascus university, Damascus, Syria. 114

3 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) :,, (),,,.(2005 ).(2004 ), (Van Hiele),., :,.,,,,,, van Hiele,, ().(Crowley,1987) 115

4 (Van Hiele), ( ),, ( ),() ( ), (),( ).(Suydam,Dessart,1983) (), ( ),.(1982, ),, :,. ( ) ( ) : - : -1. ( ). ( ) : : - -2 : -,,,,(2006, ), 116

5 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33),, :,,,. : : 180 : -1., : -2. ( ) : < Э < < : -3 ( ) ( ) = : : = ( ) : ( ) ( ),( ) = ( ) ( ) = ( ),( ) ( ) : -4. ( ) = ( ) : 180 ( ) + ( ) أ و = ( ) + ( ) ( ) ( ) ( ) ( ), : -5. :, : 117

6 , (Van Hiele) ( ) (3) (2) (1) : -6 :,,,,( ). : -1. ( ) - 2. () -3. () () -4. () () -5. () () -6. () : (Descriptive Analytical Method),,,),,.(2000 : - 118

7 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) ( ) ( ).4.( 1994, ).( ) -5 : - :() -1 (844) (16350) (7898) ( ) (8407),(2011/2010)..( ) ( ) : -2.(1997, ) : - : : (Van Hiele) -1 :(Van Hiele) - : ( ) : -1.( ) : - 2 : :(Recognition) -. :(Analysis)

8 , (Van Hiele) ( ) :(Order) -.. :(Deduction) - :(Rigor) -.(1994, ) :( ) -3., (25) (1- ) ( ) -3 ( ) -4. ( ) (5) (4), (5) (3) : -5. : -4 : -1-4,,.,, /( + ) : : 2-4, :, :,,. () : -3-4 (0,05) (0,67 ) (0,25). : -4-4,,,.(0,73) : -4-4,( 0,81),.(1994, ) 120

9 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) : ( ) -2,, (30),,,,, (45) (35),,, 3 ), (25) (0,73),(5,. : ( ) -3,,,., ( ) (5 3) :,(1- ) (1) ( ) [2] [1] 121

10 , (Van Hiele) ( ) ( ) ( ), ( ) ( ) ( ) ( ) ( ), ( ) ( ), ( ) (),, [4] [ ],[ ], [3] : ( ) ( ), ( ), ( ) ( ) ( ) ( ) [6] ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) () [5] : [8], (1) ( ) ( ) ( ), ( ), ( ) ( ) : [7] : 122

11 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) (2) (2) (1) ( ) (1) (2) ( ) (2) ( ) (2) ( ) ( ) ( ) ( ) : : ( ) ( ) ( ) ( ) ( ) () [ 10], ( ), ( ) ( ) ( ) ( ) [ 9] : º180 ( ) ( ) ( ) "" "" ( ) ( ) ( ) ( ) : ) : -,( ) ( (1),. 123

12 , (Van Hiele) ( ) TOTAL Frequency 0 Std. Dev = 3.54 Mean = 9.5 N = TOTAL (1), (2),,. ( ) 400 LEVEL Frequency 0 Std. Dev =.82 Mean = 2.2 N = LEVEL (2) 124

13 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) : - : 0,670 0,670 df ,159 (2) t 0,427 0,427 0, (0,05) (0,228) (2) (t=0,427 ), ( ) 0,009 0,009 " (0,05) (0,670).",( ). : - :.. ( ) (3) df ,576 t 2,611 2,611 0, , (0,05) (0,441) (0,009) ( t=2,611) " (0,05),." ( ),. 125

14 , (Van Hiele) ( ) : - ( ) : 0,732 0,732 df ,417 (4) t 0, ,660. () ,81 8,65 (0,05) ( (0,660) (4) t=0.343) " (0,05) (0,732).",., : - : 0,788 0,788 df ,119 (5) t 0,269 0,269 0, ,71 9,57 (0,05) (0,009) (5) (t=0,269) " (0,05) (0,788).". 126

15 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) : - : 0,009 0,009 df ,330 (6) t 1,703 1,703 0, ,71 8,81 (0,05) (0,137) (6) ( t= 1,703) (0,05) (0,009) ".",.( ) : - :. 0,09 0,09 df ,973 (7) t 2,013 2,013 0, ,65 (0,05) (0,504) (7) (0,09) ( t=2,013) (0,05), 127

16 , (Van Hiele) ( ),,. : :, : -., -. -,,,

17 Tishreen University Journal. Arts and Humanities Series 2011 (3) (33) : 204,1963,,,( )..,,( ).. :,,.183,1982, ,,,,,,,()..,,,().2011, 17, , / ).., , : 10- GROWLEY, M.L. the van Hiele model of development of geometric thought. Journal for Research in mathematics education. Vol. 32,No. 2, 1987, SUYDAM & DESSART, J N. Classroom Ideas from Research on Secondary Mathematics. Journal for Research in mathematics education. Vol. 22,No. 3, 1983, FUYS, D. Van Hiele levels of thinking in geometry education and urban society. Journal for Research in mathematics education. Vol. 17,No. 3, 1985,