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The van Hiele Model of the Development of Geometric Thought

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16 L E M G AND TEACHIlVG GEO-, K-12<br />

Geddes. Dorothy, David Fuys, C. Jamcs Lovett, and Rnsamond Tihler. "An Investigation<br />

<strong>of</strong> <strong>the</strong> <strong>van</strong> <strong>Hiele</strong> <strong>Model</strong> <strong>of</strong> Thinlung in Geometry among Adolescents." Paper presented at<br />

<strong>the</strong> annual meenng <strong>of</strong> <strong>the</strong> hencan Educational Research Association. New York, March<br />

19E.<br />

Geddes, Dorothy, David Fuys, and Rosamond Tschler. "An Investigatioo <strong>of</strong> <strong>the</strong> <strong>van</strong> Hick<br />

<strong>Model</strong> <strong>of</strong> Thinking in Geometry amollg Adolescents." Fi report, Rncarch in Science<br />

Education (RISE) Rogram <strong>of</strong> <strong>the</strong> National Science Foundation, Grant No. SED 7920640.<br />

Washington. D.C.: NSF, 1985.<br />

H<strong>of</strong>fer, Alan. "Gomctry k More Than Pro<strong>of</strong>." Mat/umutiu Tcachcr 74 (January 1981): 11-<br />

18.<br />

-. "Van <strong>Hiele</strong>-based Research." In Acquiririon <strong>of</strong> Mnrhemafiurl Conceprr and Procuscs,<br />

cditcd by R. Lesh and bl. Landau. New Yo&: Academic Press. 1983.<br />

Maybcny, Joame Vd "An Investigation in <strong>the</strong> Van Hide Levels <strong>of</strong> <strong>Geometric</strong> <strong>Thought</strong> in<br />

Undergraduate Prexrvice Teachen" (Doctoral dissertation, University <strong>of</strong> hrgia, 1979).<br />

Dirrertutmn Absnacu Inrcrnafionnl42 (1981): 2008A. (Univcnity MicroSrlms No. NL23078)<br />

Prevost, Fenrand J. "Gcometry in <strong>the</strong> Junior High School." Markmaricr Tacher 78 (Seplcmb~r<br />

1985): 4ll-18.<br />

Shaughnessy, J. Michael, and W ~am F. Burger. "Spadework Prior to Deduction in Geometry."<br />

Mat/urnarLr Eacher 78 (Seplcmber 1985): 4S28.<br />

Usiskin, Zdman. "Van <strong>Hiele</strong> k l s and Achiment in Secondary School Geometry." Final<br />

report. Cognitive <strong>Development</strong> and Achievement in Secondary School Geometry Projea.<br />

Chiago: Univenity <strong>of</strong> acago. 1982.<br />

<strong>van</strong> <strong>Hiele</strong>, Piem M. "A Child's <strong>Thought</strong> and Gometry!' In English Trmbrwn <strong>of</strong> Selec&d<br />

Whgs <strong>of</strong> Dina <strong>van</strong> Hi&-G&f and Pierre M. wn Hick, edited by Dorothy Gddes,<br />

David Fuys, and RoMmoad Tischlcr u pm <strong>of</strong> <strong>the</strong> ruearch pmjea "An Invutigation <strong>of</strong><br />

<strong>the</strong> <strong>van</strong> <strong>Hiele</strong> <strong>Model</strong> <strong>of</strong> Thinking in Geometry among Adolescents," Ruearch in Saencc<br />

Education (RISE) Ropm <strong>of</strong> <strong>the</strong> National Science Foundation, Grant No. SED 7920640;<br />

Washington. D.C.: NSF, 1984a. (Original work published in 1959.)<br />

- . "English Summary by Piem Marie <strong>van</strong> Hicle <strong>of</strong> <strong>the</strong> Problem <strong>of</strong> Insight in Connection<br />

with School Cbildrcn's Innight inm <strong>the</strong> Subject Matter <strong>of</strong> Geometry." In Englirh Tmnrlntion<br />

<strong>of</strong> Sdec&d Writings <strong>of</strong> Dina <strong>van</strong> Hide-Geld<strong>of</strong> and Pierre M. wn <strong>Hiele</strong>, edited by Dorothy<br />

Geddes, David Fuys, and Rosamond Txhkr as part <strong>of</strong> <strong>the</strong> research project "h Invatigation<br />

<strong>of</strong> <strong>the</strong> <strong>van</strong> Hicle <strong>Model</strong> <strong>of</strong> Thinking in kmetry among Adolesccn~." R d in<br />

Scie- Education (RISE) Program <strong>of</strong> tk National Scicnca Foundation. Grant No. SED<br />

792064). Washington, D.C.: NSF, 1984b. (Original work published in Bfl)<br />

<strong>van</strong> Hkle-Geld<strong>of</strong>, Dina. "Di.sscrtation <strong>of</strong> Dina <strong>van</strong> <strong>Hiele</strong>-Gcld<strong>of</strong> Entitled: <strong>The</strong> Didactic <strong>of</strong><br />

Geometry in <strong>the</strong> Lmest Class <strong>of</strong> Seondary School." In English Trmlolion <strong>of</strong> Selected<br />

Wridngs <strong>of</strong> Dina vrrn Hi&-Geld<strong>of</strong> and Pierre IU. <strong>van</strong> Hide. edited by Dorothy Gddu,<br />

David Fuys, and Roramond Tihlcr u prt <strong>of</strong> <strong>the</strong> r e project "An Investigation <strong>of</strong><br />

<strong>the</strong> <strong>van</strong> <strong>Hiele</strong> <strong>Model</strong> <strong>of</strong> Thinking in Gometry among Adolcrcnu," Re~earch in Science<br />

Education (RISE) Progmn <strong>of</strong> <strong>the</strong> National Science Foundation, Gant No. SED 7920640.<br />

Washington. D.C.: NSF, 1984a. (Original wark published in 1957)<br />

-. "Last Article Writt.cn by Dina <strong>van</strong> Hick-Geld<strong>of</strong> entitled: Didactia <strong>of</strong> Geometry as<br />

Learning Process for Adults." In English Tramhiion <strong>of</strong> Seleaed Wrimgs <strong>of</strong> Dk wn HA- Geld<strong>of</strong> and Pieme M. w, Hi&, cdited by Dorothy Geddu, David Fuys, and Rnsamond<br />

Tschler as part <strong>of</strong> <strong>the</strong> ruearch project "An harigation <strong>of</strong> th <strong>van</strong> <strong>Hiele</strong> <strong>Model</strong> <strong>of</strong>?hinking<br />

in Gcometry among Adolescents," Resca~h in Science Education (RISE) Program <strong>of</strong> <strong>the</strong><br />

National Science Foundation, Grant No. SED 7920640. Washington, D.C.: NSF, 1984b.<br />

(Original work published in 1958.)<br />

Wmp, Izaak. "Brcakthrouglu in <strong>the</strong> Psychology <strong>of</strong> Learning and Teaching Geometry." In<br />

Space and Gronuny: Pbpmfrom a Rrrmrch Workshop, edited by J. Marcin. Columbus,<br />

Ohio: ERIUSMEAC, 1976.

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