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Accepted: 05.06.2014 In this study, eight-grade students’ estimation achievements in triangles were analysed according to motivation types and knowledge type expectations. Three hundred and thirty-seven students from three different elementary schools attended in this study. In order to determine the students’ estimation performances, an estimation test in triangles (ETT) was developed. At the end of the study, it was indicated that the estimation performances of the students in triangles related with high level intrinsic motivation and conceptual knowledge expectation. It was also indicated that the estimation performances of the students who have extrinsic motivation source were lower. Moreover it was pointed out that the students expecting procedural knowledge from their teachers had low level of estimation performance in triangles. This study shows that estimation skills in triangles, one of the subjects of geometry, are related with some important variables like motivation types and conceptual knowledge. There are some important questions that should be answered by future studies like ‘How can students’ estimation skills in geometry be developed? ‘How can it be integrated into curriculum? What are the possible strategies students apply and which factors are they related to?’

In this research; a problem situation, which requires the ability of thinking in three dimensions, was developed by the researchers. As the purpose of this paper is producing a modeling task suggestion, the problem was visualized and analyzed in GeoGebra3D environment. Then visual solution was also been supported by algebraic approach. So, the capability of creating the relationship between geometric and algebraic representations in GeoGebra was also presented in 3D sense.