An exploration of learners’ autonomous learning of mathematics by using selected Visual Technology for the Autonomous Learning of Mathematics (VITALmaths) video clips: A case study

Abstract

One of the major problems in the achievements of learners in mathematics is the difficulty they experience in performing tasks involving higher level thinking skills which are developed through autonomous learning behaviours (Karp, 1991). Thus, to engage meaningfully in high level mathematical tasks, one should be able to work independently (Karp, 1991). Teachers therefore should support learners in developing the skills that will afford them the opportunity to manage their own learning outside the sheltered surroundings of the classroom, when the teacher is no longer there for support (St. Louis, 2003). A study was undertaken with 11 Grade-10 learners to ascertain how their engagement with the VITALmaths video clips support and improve the learners’ understanding of the Pythagorean Theorem and the addition and subtraction of fractions autonomously. The VITALmaths database of video clips, which consists of short video clips (1 - 3 minutes long) was developed collaboratively by students and researchers at the School of Teacher Education at the University of Applied Sciences North-Western Switzerland and Rhodes University in South Africa (Linneweber-Lammerskitten, Schäfer & Samson, 2010). The video clips, which are freely available, can be downloaded on mobile phones. The study was structured into four different phases during which data was collected and analysed using both quantitative and qualitative methods. I specifically looked at the learners’ use of manipulatives during their learning of the Pythagorean Theorem and the addition and subtraction of fractions, whether there was a growth of a discourse-for-oneself and whether or not their engagement with the video clips enhanced the learners’ understanding of the Pythagorean Theorem and the addition and subtraction of fractions. While the theoretical framework provided a sound basis for researching autonomous learning, it required a considerable effort to determine whether the participants showed growth in terms of moving from a discourse-for-others to a discourse-for-oneself. The study revealed that the learners’ engagement with the VITALmaths video clip encouraged the use of manipulatives in their learning of the Pythagorean Theorem and the addition and subtraction of fractions. The majority of the learners involved in the study showed a growth of a discourse-for-oneself. A number of the learners showed an enhancement in their understanding of the Pythagorean Theorem and the knowledge involved in the addition and subtraction of fractions. The overall findings showed that mobile technology can easily be incorporated in the learners’ learning of mathematics. The VITALmaths video clips can play a significant role in the learners’ autonomous learning and understanding of certain mathematical concepts