Research on Nonroutine Problems: A Hybrid Didactical Design for Overcoming Student Learning Obstacles
Table 3
Alternative solutions to overcome learning obstacles.
Learning obstacles
Alternative solutions
The low prerequisite skills of students (integer operations).
Designing Let us Guess LCM and GCD value activities to strengthen students’ ability to operate integers. Only a few multiples of a number are written down, so students are expected to find the value of other multiples of that number themselves. This activity is expected to strengthen students’ ability to operate whole numbers. For students who forget how to find LCM and GCD, scaffolding is provided in the form of multiples of numbers and factor trees of a number so that students can easily find the LCM and GCD values.
Limitations of the problem context given by the teacher.
Designing the Let us Find activity consisting of nonroutine problems to facilitate students in discovering the procedure for multiplying fractions. This activity is expected to be able to make students remember the multiplication procedure for a long time.
