Question Types for Assessment of Mathematics Education in Dynamic Geometry Environments
AbstractAssessment of student learning requires the use of techniques for measuring student achievement. Assessment is more than a collection of techniques, however. It is a systematic process that plays a significant role in effective teaching. It begins with the identification of learning goals, monitors the progress students make toward those goals, and ends with a judgment concerning the extent to which those goals have been attained. In the literature, the integration of technological tools into the assessment process is expressed by the “e-assessment” concept. Assessment using ICT has come to be known as e-assess-ment, which includes the entire assessment process, from designing assignments to storing the results with the help of ICT. The most of the researches related to the e-assessment focused on how to transfer the examinations in paper-pencil environment to the electronic environment. In addition to those studies, in the research about the integration of computer assisted assessment tools to the mathematics instruction, the participant pre-service teachers use these tools in favor of the formative assessment. In a similar study, pre-service teachers prepared lessons and home works using technological tools such as dynamic geometry software and thus it is shown that those tools can be used in the process of assessment. In the literature, there is numerous studies concerning technology supported mathematics instruction. But none of them is related to the assessment dimension of the mathematics teaching. In particular, it is highly recommended to conduct researches about the use of technology in that dimension. The aim of this study is to determine question types that can be used for assessment of computer based mathematics instruction. Case study is considered as the methodology of the research. The reason is that a case study investigates a contemporary phenomenon in depth and within its real-life context when the boundaries between phenomenon and context are not clearly evident. 15 pre-service mathematics teachers have participated to the study of 6 weeks (3 hours per week). Every pre-service teacher worked individually on totally 26 geometry questions of different types. At the same time, they explained their approaches to solve problems by filling out a paper. In addition, a screen capture program is used to grab the video of what is seen on the computer screen. Meanwhile the researchers observed pre-service teachers’ work on computers. The findings of the study are revealed via the analysis of each video, of their comparison with the written explanations and of the researchers’ observations. Based on the findings, the most significant result of the study is that open-ended geometry problems reflect students’ knowledge better than other types of questions. Moreover, all types of questions should be used in order to assess students’ learning performance.