Teaching problem solving using non-routine tasks

Non-routine problems are related to real-life context and require some realistic considerations and real-world knowledge in order to resolve them. This study examines several activity tasks incorporated with non-routine problems through the use of an emerging mathematics framework, at two junior colleges in Brunei Darussalam. The three sampled teachers in this study assisted in selecting the topics and the lesson plan designs. They also recommended the development of the four activity tasks: incorporating the use of technology; simulation of a reality television show; designing real-life sized car park spaces for the school; and a classroom activity to design a real-life sized dustpan. Data collected from all four of the activity tasks were analyzed based on the students’ group work. The findings revealed that the most effective activity task in teaching problem solving was to design a real-life sized car park. This was because the use of real data gave students the opportunity to explore, gather information and give or receive feedback on the effect of their reasons and proposed solutions. The second most effective activity task was incorporating the use of technology as it enhanced the students’ understanding of the concepts learnt in the classroom. This was followed by the classroom activity that used real data as it allowed students to work and assess the results mathematically. The simulation of a television show was found to be the least effective since it was viewed as not sufficiently challenging to the students.