Much of the difficulty that students encounter in the transition from arithmetic to algebra stems from their early learning and understanding of arithmetic. Too often, students learn about the whole number system and the operations that govern that system as a set of procedures to solve addition, subtraction, multiplication, and division problems.…

Noting the current push for rigor in secondary school curriculums (the lead member of the "new three Rs" of rigor, relevance, and relationships), Washor and Mojkowksi take a closer look at the prevailing conception of rigor. They argue that a narrowly defining a rigorous curriculum as one with more advanced courses and more factual content…

Students often fail to apply knowledge and skills learned in one context to other situations. Although the implicit assumption in educational practice has been that transfer takes care of itself, a knowledge of the mechanisms of transfer can enable educators to help their students integrate general and local knowledge. (TE)

To overcome learner dependence when modeling cognitive processes, one teacher used direct teaching of specific thinking skills with her middle school language arts students. The teacher introduced the skill of analyzing for personification to her students. The class experimented with the skill, completed the task, and applied the skill to…

Research identifies two interrelated memories--one that retains facts and symbols and one that retains motor and problem-solving skills. These and other findings challenge educators to determine what students should memorize, to help them move from random memorization to creating useful concepts, and to teach students to use memory in problem…