Feedback on student answers and even during intermediate steps in their solutions to open-ended questions is an important element in math education. Such feedback can help students correct their errors and ultimately lead to improved learning outcomes. Most existing approaches for automated student solution analysis and feedback require manually…

An alternative to the standard theory that language learners always formulate the simplest rule to accommodate data is proposed. This new position states that the system of formulating rules and the generalizations made from it by children and adults in the stages of language learning needs to be more specific. The present theory excludes the use…

In Zimbabwe, university students continue to have problems with scientific communication despite the fact that English is a widely-used second language and students have received most formal science instruction in English. However, the problems differ from those of both students of English as a foreign language and students studying their first…