To learn mathematics, historically students had no choice but to memorize fundamental facts and apply memorized algorithms. Since 1995 in the US, all states have adopted standards to govern K-12 mathematics instruction, and in most, standards have de-emphasized memorization and emphasized reasoning based on concepts. This change assumed the brain…

In this article, the author acknowledges that tertiary education has remained relatively unchanged for centuries, delivering information to students through lectures, books, and laboratories where appropriate. However, new technologies are removing the need for traditional teaching because of better understanding of how people actually learn. We…

Around 1960, there were quite radical changes in emphasis in many countries in school chemistry education, with subsequent changes in many university courses. Considerable research was undertaken to explore the learning problems students were reporting and the common thread underlying became apparent: it related to the way humans process new…