Problem solving followed by explicit instruction, as suggested by productive failure and several other instructional theories, indicates long-term learning benefits, whereas explicit instruction followed by problem solving has been consistently demonstrated as superior within the framework of cognitive load theory. However, the effectiveness of…

Applying mathematics to real problems is increasingly emphasized in school education; however, it is often complained that many students are not able to solve mathematical problems embedded in contexts. In order to solve story problems, a transition from a textual description to a mathematical notation has to be found, intra-mathematical…