Επίπεδα Van Hiele και διδακτικές προσεγγίσεις - University of Athens
Επίπεδα Van Hiele και διδακτικές προσεγγίσεις - University of Athens
Επίπεδα Van Hiele και διδακτικές προσεγγίσεις - University of Athens
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∆ΙΠΛΩΜΑΤΙΚΗ ΤΖΙΦΑ ΝΙΚΟΛΑΟΥ 134<br />
ΠΑΡΑΡΤΗΜΑ Γ -ΗΛΕΚΤΡΟΝΙΚΗ ΑΛΛΗΛΟΓΡΑΦΙΑ ΜΕ ΤΟΝ ΚΑΘΗΓΗ-<br />
ΤΗ ΤΟΥ ΠΑΝΕΠΙΣΤΗΜΙΟΥ ΤΟΥ ΣΙΚΑΓΟ SALMAN USISKIN<br />
1 η ΕΠΑΦΗ<br />
Dear pr<strong>of</strong>essor, mr Usiskin, my respects. I am a mathematics teacher in a High school in<br />
Greece and this year I am doing a master in the <strong>University</strong> <strong>of</strong> <strong>Athens</strong>. I have recently studied<br />
your investigation,1982, and I honestly found it excellent. At this moment I am thinking <strong>of</strong> a<br />
corresponding investigation as yours, using a sample <strong>of</strong> selected students in different schools<br />
<strong>of</strong> my country. The reason I am writing this letter is to ask your permission for using your<br />
test -which believe me is a precious help for my study -without any expenses. I would also<br />
like to explain that this investigation is being executed for first time in Greece and it is certain<br />
that your name and your test will be known all over Greece(I shall do my best about it). It<br />
would be very kind <strong>of</strong> you to reply as soon as possible. Thank you for your time. With respect<br />
Nick Tzifas<br />
ΑΠΑΝΤΗΣΗ 1 η<br />
Original Message -----<br />
From: Zalman Usiskin<br />
To: NIKOS TZIFAS<br />
Cc: z-usiskin@uchicago.edu<br />
Sent: Tuesday, May 24, 2005 11:52 PM<br />
Subject: Re: van <strong>Hiele</strong> test<br />
Dear Mr. Tzifas:<br />
The van <strong>Hiele</strong> test is an appendix to the 231-page report "<strong>Van</strong> <strong>Hiele</strong> Levels and Achievement<br />
in Secondary School Geometry". This report has not been available from us for well over a<br />
decade but you should try to obtain a copy. It was available in the United States as ERIC reproduction<br />
service document no. ED 220 288. The report includes quite a bit <strong>of</strong> information<br />
that is critical to understanding the test, including the various ways in which van <strong>Hiele</strong> levels<br />
can be derived from scores on the test. (Merely having the test would not be enough.) We are<br />
happy to give permission to copy the van <strong>Hiele</strong> test for use in research without cost, but we<br />
need (1) a description <strong>of</strong> the study, including an approximate number <strong>of</strong> copies you will<br />
make. (2) assurance that you will write for copyright purposes on each copy: "© 1980 by the<br />
<strong>University</strong> <strong>of</strong> Chicago. Reprinted with permission <strong>of</strong> the <strong>University</strong> <strong>of</strong> Chicago." (3) assurance<br />
that we will receive a copy <strong>of</strong> any write-up <strong>of</strong> the results you find in your study. It is because<br />
<strong>of</strong> requirement (3) that I am in possession <strong>of</strong> the doctoral dissertation <strong>of</strong> Ioannis Zachos<br />
(Ph.D., <strong>University</strong> <strong>of</strong> Leeds School <strong>of</strong> Education, June 1994), entitled "Problem Solving in<br />
Euclidean Geometry in Greek Schools". In this study Dr. Zachos translated and adapted the