Middle School Students' Reasoning about 3-Dimensional Objects: A Case Study

Autor/in	Okumus, Samet
Titel	Middle School Students' Reasoning about 3-Dimensional Objects: A Case Study
Quelle	(2016), (429 Seiten) PDF als Volltext Verfügbarkeit Ph.D. Dissertation, North Carolina State University
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
ISBN	978-1-3696-3888-2
Schlagwörter	Hochschulschrift; Dissertation; Middle School Students; Abstract Reasoning; Spatial Ability; Geometric Concepts; Depth Perception; Summer Programs; Mathematical Formulas; Computer Software; Learning Activities; Semiotics; Experiential Learning; Instructional Materials; Case Studies + Suchen Sie Ihr Suchwort? Thesis; Dissertations; Academic thesis; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Abstraktes Denken; Denken; Räumliches Vorstellungsvermögen; Elementare Geometrie; Depth psychology; Tiefenpsychologie; Sommerkurs; Mathematische Formel; Lernaktivität; Semiotik; Experiental learning; Erfahrungsorientiertes Lernen; Lehrmaterial; Lehrmittel; Unterrichtsmedien; Case study; Fallstudie; Case Study
Abstract	According to the National Council of Teacher of Mathematics (NCTM) (2000), K-12 students should be given an opportunity to develop their spatial reasoning abilities. One of the topics that may allow students to develop their spatial skills is forming 3-dimensional objects using spinning and extrusion methods. Also, extrusion and spinning methods provide an important basis on advanced mathematical topics (e.g., calculus ideas related to solids of revolution). A 3-dimensional geometric topic often studied by children in grades K-12 is volume with a focus on students' spatial abilities. Researchers demonstrated the process of students' finding the volume of a rectangular prism to be length x width x height. However, this formula cannot be generalized to cones, cylinders, etc. On the other hand, there is little research about forming 3-dimensional objects by spinning or extruding 2-dimensional figures. The purpose of this study is to understand how middle school students enrolled in a summer program reason about the volume of 3-dimensional objects using extrusion and spinning while utilizing manipulatives and a dynamic geometry program, Cabri 3D. The research design is a case study (Stake, 1995; 2005) in which the data are collected from a bounded system--a summer enrichment program. Eight middle school students (three rising seventh grade students, and five rising eighth grade students) participated in the research study. A five-day instructional unit was planned in which activities were created, so students produces a variety of signs (e.g., gesture, drawing, verbal sign) during they reasoned about the semiotic activities. Throughout the instruction, students were given hands-on materials and their corresponding Cabri 3D sketches. (Abstract shortened by ProQuest.). [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.] (As Provided).
Anmerkungen	ProQuest LLC. 789 East Eisenhower Parkway, P.O. Box 1346, Ann Arbor, MI 48106. Tel: 800-521-0600; Web site: http://www.proquest.com/en-US/products/dissertations/individuals.shtml
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01