The terms of a conditionally convergent series may be rearranged to converge to any prescribed real value. What if the harmonic series is grouped into Fibonacci length blocks? Or the harmonic series is arranged in alternating Fibonacci length blocks? Or rearranged and alternated into separate blocks of even and odd terms of Fibonacci length?

The United States of America is a large and diverse country; nevertheless, high schools have a lot in common across the nation. In particular, mathematics teaching in American high schools, while not stereotyped, has some accepted norms which would be seen as unusual here in Australia. In order for the Australians to learn from the Americans, as…

When learning, students yearn for meaning, challenge, and relevance. Integrated learning fulfills these desires by limiting the compartmentalization of learning--providing a more coherent learning environment. Too often, mathematics and the physical sciences are taught as separate entities. Yet, many commonalities exist, especially between…

A study of British Columbia high schools found that block scheduling can endanger mathematics achievement. Reduced math scores were attributed to irregular planning time, little opportunity to modify curriculum; and the provincial examination system. Longer time blocks cannot succeed without adequate planning time, curricular restructuring, and…

The poor performance of students in America's urban high schools, both in absolute terms and in comparison with their more economically secure counterparts in suburban schools, is a critical issue for the country, and the opportunity for all students to learn mathematics has been heralded as the new "civil right." In a recent study of…