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The Distribution of Van Hiele Levels of Geometrical Thought for students and Its Relationship with geometric- proof And logical-mathematical thinking (A Field study in Lattakia City )

توزع مستويات فان هيلي (VAN HIELE) للتفكير الهندسي عند الطلبة و علاقته بالبرهان الهندسي و التفكير المنطقي الرياضي (دراسة ميدانية في مدينة اللاذقية)

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 Publication date 2015
  fields Education
and research's language is العربية
 Created by Shamra Editor




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This study aimed to extent of the distribution of the Van Hiele levels in geometrical reasoning in secondary school students (the second secondary grade), and its relationship with geometric- proof And logical-mathematical thinking, And a random sample of (200) two hundred students was chosen from both genders from the public schools in the Lattakia city, The research used the Van Hiele geometry test, and she used Achievement test for writing proofs in Geometry, And logical-mathematical thinking test. The results showed the Van Hiele levels of geometrical reasoning were present distributed at the first fourth levels with varying degrees in secondary school students (the second secondary grade), and There was a strong correlation between the two variables (Van Hiele / Geometric proof) for students, and There is a strong and positive relationship between the two variables(Logical-mathematical thinking / Geometry proof) for students, and There was a strong correlation between the two variables (Logical-mathematical thinking / Van Hiele) for students.


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Research summary
هدفت الدراسة إلى تحديد توزيع مستويات فان هيلي للتفكير الهندسي عند طلاب الصف الثاني الثانوي في المدارس الحكومية بمدينة اللاذقية، وعلاقته بالبرهان الهندسي والتفكير المنطقي الرياضي. استخدمت الباحثة اختبار فان هيلي للتفكير الهندسي، واختبار تحصيلي في كتابة البرهان الهندسي، واختبار التفكير المنطقي الرياضي. أظهرت النتائج أن مستويات فان هيلي تتوزع على المستويات الأربعة الأولى، وأن هناك علاقة ارتباط طردية وقوية بين درجات الطلاب في اختبار فان هيلي واختبار البرهان الهندسي، وكذلك بين درجاتهم في اختبار التفكير المنطقي الرياضي واختبار البرهان الهندسي. توصي الدراسة بإعادة النظر في مناهج الهندسة وتدريب المدرسين على استخدام نماذج تعليمية فعالة مثل نموذج فان هيلي لتحسين تدريس الهندسة وتطوير مهارات التفكير الهندسي والمنطقي لدى الطلاب.
Critical review
دراسة نقدية: تعتبر الدراسة قيمة ومهمة في مجال تعليم الرياضيات، حيث تسلط الضوء على أهمية مستويات فان هيلي في تحسين التفكير الهندسي والمنطقي لدى الطلاب. ومع ذلك، يمكن أن تكون هناك بعض النقاط التي تحتاج إلى تحسين. على سبيل المثال، قد يكون من المفيد توسيع العينة لتشمل مدارس من مناطق مختلفة لضمان تعميم النتائج. كما يمكن أن تكون هناك حاجة إلى دراسة تأثيرات طويلة الأمد لتطبيق نموذج فان هيلي على التحصيل الدراسي للطلاب. بالإضافة إلى ذلك، يمكن أن تكون هناك حاجة إلى المزيد من الدراسات التي تستكشف العلاقة بين مستويات فان هيلي والتفكير النقدي والإبداعي لدى الطلاب.
Questions related to the research
  1. ما هي أهداف الدراسة؟

    هدفت الدراسة إلى تحديد توزيع مستويات فان هيلي للتفكير الهندسي عند طلاب الصف الثاني الثانوي، ودراسة العلاقة بين هذه المستويات والبرهان الهندسي والتفكير المنطقي الرياضي.

  2. ما هي أدوات البحث المستخدمة في الدراسة؟

    استخدمت الباحثة اختبار فان هيلي للتفكير الهندسي، واختبار تحصيلي في كتابة البرهان الهندسي، واختبار التفكير المنطقي الرياضي.

  3. ما هي النتائج الرئيسية للدراسة؟

    أظهرت النتائج أن مستويات فان هيلي تتوزع على المستويات الأربعة الأولى، وأن هناك علاقة ارتباط طردية وقوية بين درجات الطلاب في اختبار فان هيلي واختبار البرهان الهندسي، وكذلك بين درجاتهم في اختبار التفكير المنطقي الرياضي واختبار البرهان الهندسي.

  4. ما هي التوصيات التي قدمتها الدراسة؟

    أوصت الدراسة بإعادة النظر في مناهج الهندسة بالمراحل التعليمية المختلفة وتنظيمها وفقًا لمستويات فان هيلي، وتوعية مدرسي الرياضيات بالنماذج التعليمية المختلفة، والاهتمام بتنمية مهارات البرهان الهندسي وطرائقه، وعقد دورات تدريبية للعاملين في مجال الرياضيات.


References used
Ball, Deborah L.& Hoyles, Celia& Jahnke, Hans N.&Moushovitz- Hadar.(2002). The Teaching of proof. Retrieved April 18,2003, from http: //www-didactigue. Imag. Fr/prevue
Beyer, B . What research suggests about teaching thinking skills , Developing Minds : A Resource Book for Teaching, Alexandria, Virginia : ASCD.2001.p547
Crowley, M.L .the Van Hiele model of development of geometric thought , ΝCTM.; learning and teaching K-12. Ν CTM, rest on, 1987,p 1-16
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