Opetusvideot ja oppimistyökalujen käyttö matematiikkajumpassa

The increasing workforce demand in the field of technology has forced universities to increase their student intake. However, for all students, their starting skill level is not high enough for university studies, which has increased drop-out rates. At Tampere University of Technology, a Remedial Instruction has been developed to improve students' skills in mathematics. This thesis is a part of teaching development research at the TUT Department of Mathematics. It is based on the students starting their studies in fall 2015 on the courses Engineering Mathematics 1 and Mathematics 1. In the beginning of the fall, these students took the Basic Skills Test in mathematics, and those that did poorly were directed to the Remedial Instruction. In this thesis, the Remedial Instruction was developed further by studying students' use of tools and adding educational videos. Pedagogical framework was derived from works of Mayer, Gagn\'e and Bloom. The Remedial Instruction was deployed using Math-Bridge, and for the first time, educational videos on different mathematics topics were added using the Echo360 platform. The use of these videos were measured both empirically as well as with a questionaire about the instruction. In addition, the students' Basic Skills Tests, learner profiles and exam grades in (Engineering) Mathematics 1 were collected. This data was used to study how the Remedial Instruction should be developed in the future. The results of this thesis include a framework for educational videos which can be used by teachers to apply videos to their teaching. As an example, the videos created for the Remedial Instruction are presented. Students' use of tools was analyzed and it shows that educational videos are an enriching addition to remedial mathematics, and that the Remedial Instruction is an effective tool in helping students learn mathematics. Analyzing the different learning profiles together with their use of tools and success in studies, new information was gained from the different learner profiles. Based on this, ideas for Remedial Instruction development are also presented