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University of Illinois at Urbana-Champaign

Affordances of Computer-Based and Physical Geoboards in Problem-Solving Activities in the Middle Grades

Abstract

dc:description

A major finding of the research was that the computer-based and physical geoboards have different affordances. For example, the capability of putting a color inside a shape might be an affordance of the computer-based geoboard. Allowing students to make a shape easily, by just looking at its form, might be an affordance of the physical geoboard. Considering affordances of the two types of geoboards, this study suggests that the computer-based geoboard is an appropriate tool for a class designed to develop a formula for finding the area of a parallelogram by transforming a shape. The physical geoboard, on the other hand, has the potential to be a useful tool to help students develop the concept of area and learn ways to find the area of a rectangle and a square. Therefore, in order to maximize students learning in problem solving, these two types of geoboard should be used in complementary roles in the classroom. Research needs to be carried out to identify instructional activities that take advantages of the affordances of both kinds of geoboards.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Education
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Takahashi, Akihiko
Contributors dc:contributor
  • Travers, Kenneth J.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI3070452
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/79708

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Takahashi, Akihiko. Affordances of Computer-Based and Physical Geoboards in Problem-Solving Activities in the Middle Grades. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/79708