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Collaborative learning activities, based on constructivism, were applied within the introductory course on the Internet for the first year students of Computer science at the Faculty of Education. In the paper we present a form of wiki-supported collaborative learning followed by collaborative and peer assessment. We will make overview of the elements which indicate contributions of individual students to the project as well as their contribution to the process of collaboration. In order to evaluate how reliable are collaborative and peer assessment, we consider how the grades from wikis' assessment are related to the final grade of the course and to the grades of other learning activities.