The Interactive Mathematics Program (IMP) is a four-year, problem-based mathematics curriculum for high schools, designed to meet the needs of both college-bound and non-college-bound students. It was one of several curricula funded by the National Science Foundation and designed around the 1989 National Council of Teachers of Mathematics (NCTM) standards. The curriculum replaces the traditional Algebra I-Geometry-Algebra II/Trigonometry-Precalculus sequence. The IMP books were authored by Dan Fendel and Diane Resek, professors of mathematics at San Francisco State University, and by Lynne Alper and Sherry Fraser.
Designed in response to national reports pointing to the need for a major overhaul in mathematics education,[1][2][3] the IMP curriculum is markedly different in structure, content, and pedagogy from courses more typically found in the high school sequence.[4]
Nearly every one of these distinctive characteristics has generated controversy and placed the IMP curriculum right in the middle of the “math wars,” the conflict between those that favor more traditional curricula in mathematics education and the supporters of the reform curricula that were largely an outgrowth of the 1989 NCTM standards.
IMP is among the reform curricula that have been heavily criticized by organizations such as Mathematically Correct. That organization’s Internet site begins with a statement that “advocates of the new, fuzzy math” (focus) “on things like calculators, blocks, guesswork, and group activities and they shun things like algorithms and repeated practice. The new programs are shy on fundamentals and they also lack the mathematical depth and rigor that promotes greater achievement.”[6] Former NCTM president Frank Allen states, “Trying to organize school mathematics around problem solving instead of using its own internal structure for that purpose … (is destroying) essential connections….”[7]
Criticism often includes anecdotal evidence including stories of school districts that have decided to discontinue or supplement use of the IMP curriculum[8] and of students who did not feel they had been prepared adequately for college.[9] "Regular math is much better, it makes much more sense," says Aimee Lynn Stearns, a student at Taos High School in Taos, New Mexico.
On the other hand, some IMP students describe the program in positive terms. "It's fun, but it makes you really think," according to Ziouck Gonzalez, a student at Wells High School in Chicago, Illinois. Looking beyond student response, IMP was one of five mathematics education programs designated "exemplary" by the US Education Department in 1999, for "outstanding quality and demonstrated effectiveness."[10] Key Curriculum Press, the publisher of IMP, points out “the IMP first edition was published after more than 10 years of research, pilot testing, evaluating, field testing, revising, and detailed reviewing.”[11]
Supporters point to statistical studies that compare the performance of students enrolled in IMP courses with their peers enrolled in traditional high school mathematics courses. Merlino and Wolff, two such researchers, report that in their several studies IMP students consistently outperformed traditionally taught students on both the math and verbal sections of the PSAT, as well as on the SAT-9.[12] Kramer reported that grade 12 IMP students in his study performed better on all areas of mathematics tested by the NAEP test,[13] and Webb and Dowling reported IMP students performed significantly better on statistics questions from the Second International Mathematics Study, on mathematical reasoning and problem solving tasks designed by the State of Wisconsin, and on a quantitative reasoning test developed by a university to administer to entering students.[14]
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