Moving Mathematics Out of Mediocrity

By Steven Leinwand

The logic for the importance of improving school mathematics programs is reasonably unassailable. The country’s long-term economic security and social well-being are clearly linked to sustained innovation and workplace productivity. This innovation and productivity rely, just as clearly, on the quality of human capital and equity of opportunity that, in turn, emerge from high-quality education, particularly in the areas of literacy, mathematics, and science. Applying the if-then deductive logic of classical geometry puts a strong K-12 mathematics program at the heart of America’s long-term economic viability.

But the problems with mathematics in the United States are just as clear. A depressingly comprehensive, yet honest, appraisal must conclude that our typical math curriculum is generally incoherent, skill-oriented, and accurately characterized as “a mile wide and an inch deep.” It is dispensed via ruthless tracking practices and focused mainly on the “one right way to get the one right answer” approach to solving problems that few normal human beings have any real need to consider. Moreover, it is assessed by 51 high-stakes tests of marginal quality, and overwhelmingly implemented by undersupported and professionally isolated teachers who too often rely on “show-tell-practice” modes of instruction that ignore powerful research findings about better ways to convey mathematical knowledge.

For 20 years, we have tinkered at the margins, merely adjusting parts of the system while ignoring the fact that the basic structure has remained largely intact and underperforming. During those 20 years, we’ve raised achievement a little and narrowed gaps a bit. But even as the need for broader and deeper mathematical literacy has grown, our traditional approach still rarely works for more than a third of our students, and it fails even more when it comes to critical-reasoning and problem-solving skills. It shouldn’t be all that surprising that on the 2006 Program for International Student Assessment, or PISA , 15-year-old U.S. students placed an unacceptable 25th out...