Επίπεδα Van Hiele και διδακτικές προσεγγίσεις - University of Athens

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∆ΙΠΛΩΜΑΤΙΚΗ ΤΖΙΦΑ ΝΙΚΟΛΑΟΥ 134 ΠΑΡΑΡΤΗΜΑ Γ -ΗΛΕΚΤΡΟΝΙΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΜΕ ΤΟΝ ΚΑΘΗΓΗ- ΤΗ ΤΟΥ ΠΑΝΕΠΙΣΤΗΜΙΟΥ ΤΟΥ ΣΙΚΑΓΟ SALMAN USISKIN 1 η ΕΠΑΦΗ Dear professor, mr Usiskin, my respects. I am a mathematics teacher in a High school in Greece and this year I am doing a master in the University of Athens. I have recently studied your investigation,1982, and I honestly found it excellent. At this moment I am thinking of a corresponding investigation as yours, using a sample of selected students in different schools of my country. The reason I am writing this letter is to ask your permission for using your test -which believe me is a precious help for my study -without any expenses. I would also like to explain that this investigation is being executed for first time in Greece and it is certain that your name and your test will be known all over Greece(I shall do my best about it). It would be very kind of you to reply as soon as possible. Thank you for your time. With respect Nick Tzifas ΑΠΑΝΤΗΣΗ 1 η Original Message ----- From: Zalman Usiskin To: NIKOS TZIFAS Cc: z-usiskin@uchicago.edu Sent: Tuesday, May 24, 2005 11:52 PM Subject: Re: van Hiele test Dear Mr. Tzifas: The van Hiele test is an appendix to the 231-page report "Van Hiele Levels and Achievement in Secondary School Geometry". This report has not been available from us for well over a decade but you should try to obtain a copy. It was available in the United States as ERIC reproduction service document no. ED 220 288. The report includes quite a bit of information that is critical to understanding the test, including the various ways in which van Hiele levels can be derived from scores on the test. (Merely having the test would not be enough.) We are happy to give permission to copy the van Hiele test for use in research without cost, but we need (1) a description of the study, including an approximate number of copies you will make. (2) assurance that you will write for copyright purposes on each copy: "© 1980 by the University of Chicago. Reprinted with permission of the University of Chicago." (3) assurance that we will receive a copy of any write-up of the results you find in your study. It is because of requirement (3) that I am in possession of the doctoral dissertation of Ioannis Zachos (Ph.D., University of Leeds School of Education, June 1994), entitled "Problem Solving in Euclidean Geometry in Greek Schools". In this study Dr. Zachos translated and adapted the
∆ΙΠΛΩΜΑΤΙΚΗ ΤΖΙΦΑ ΝΙΚΟΛΑΟΥ 135 van Hiele test for use in Greek schools. My last correspondence with Dr. Zachos was in July 1995.At that time his address was Klisthenous 6, Athens 163 44, Greece. Zalman Usiskin Professor of Education Director, University of Chicago School Mathematics Project The University of Chicago 5835 S. Kimbark Avenue Chicago, IL 60637 +1 773 702-3314 (fax) 2 η ΕΠΑΦΗ Original message ---- Date: Thu, 26 May 2005 16:54:50 +0300 From: "????S ???F?S" Subject: Re: van Hiele test To: "Zalman Usiskin" Dear sirs, at first I’d like to thank you for your Kind and soon reply to me. I accept, of course, your conditions and I’d like to give you the following information: + The investigation is a part of my master(M. Sc) It is concerned about students aged 14-17 years old in Greek secondary schools in 3 classes. + The sample will be among 1850 students in 45 schools. I also assure that my work will not be published for commercial and financial profits, but it will be submitted as a preprint in 5 copies in Mathematics University of Athens. When I’ll be finishing my investigation, I am thinking of sending you a copy of summary in English and the questionnaire in Greek Thank you really Waiting for your replay my warmest regards Nick Tzifas ΑΠΑΝΤΗΣΗ Dear Nick: Could you supply more information about the purpose of your study, about the question(s) your study is about? Zalman Usiskin 3 η ΕΠΑΦΗ Dear sirs thank you for you reply The Euclidean Geometry is being taught in Greece methodically for many years now, but Geometry teachers have objected that there are too many problems during the teaching, as students find this subject difficult. So, the investigation has the purpose to assess the geometrical thought of the students and to prove that students are not in the proper van Hiele level (3-4) that is necessary for the understanding of the Euclidean Geometry. The basic questions of this study will be the following:
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Επίπεδα Van Hiele και διδακτικές προσεγγίσεις - University of Athens

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