Learned rules help us accurately solve many problems, but by blindly following a strategy,
we sometimes fail to find more efficient alternatives. Previous research found that humans …

Background Since students' success in their first‐semester college mathematics course is a
key factor in their success in engineering, many summer bridge programs for …

This study explores student flexibility in mathematics by examining the relationship between
accuracy and strategy use for solving arithmetic and algebra problems. Core to procedural …

Central to equation solving is the maintenance of equivalence on both sides of the equation.
However, when the process involves an interaction of multiple elements, solving an …

Despite tremendous recent progress, extant artificial intelligence (AI) still falls short of
matching human learning in effectiveness and efficiency. One fundamental disparity is that …

This study examined the relationship between two types of mathematical flexibility–potential
flexibility, which indicates individuals' knowledge of multiple strategies and strategy …

Competence in algebra is increasingly recognized as a critical milestone in students' middle
and high school years. The transition from arithmetic to algebra is a notoriously difficult one …

Holyoak and Koh (1987) and Holyoak (1984) propose four critical tasks for analogical
transfer to occur in problem solving. A study was conducted to test this hypothesis by …

Background Traditional math instruction that emphasizes procedures and rote memorization
is common in math classes, particularly within the United States. Students may be able to …

Handbook of Strategies and Strategic Processing provides a state-of-the-art synthesis of
conceptual, measurement, and analytical issues regarding learning strategies and strategic …