Thursday, August 28, 2008

Review of Math Investigations

Mathematics in school is a major issue in the US. Yesterday, Washington Post printed an article about a review of the mathematics curriculum in Loudoun County (Virginia). This county has introduced a curriculum for elementary school that is called Math Investigations, and there appears to be lots of critics who claim the curriculum fails to teach basic math skills. So, in the eyes of someone from outside the US context, this appears to be related to the so-called Math Wars. I am not trying to make any judgments in this debate, but it is interesting to be a spectator!

After reading about the curriculum on the web, I find it quite interesting. The curriculum was developed in the 1990s, and it was developed with support from the National Science Foundation. From their website, I learn that the Investigations in Number, Data, and Space (which is the official name of the curriculum, it appears) was designed to:
  • Support students to make sense of mathematics and learn that they can be mathematical thinkers.
  • Focus on computational fluency with whole numbers as a major goal of the elementary grades.
  • Provide substantive work in important areas of mathematics—rational numbers, geometry, measurement, data, and early algebra—and connections among them.
  • Emphasize reasoning about mathematical ideas.
  • Communicate mathematics content and pedagogy to teachers.
  • Engage the range of learners in understanding mathematics.
The guiding principles underlying these goals are that students have mathematical ideas, (...) teachers are engaged in ongoing learning about mathematics content, pedagogy, and student learning (...) and that teachers collaborate with the students and curriculum materials to create the curriculum as enacted in the classroom (quoted from their website). In many ways, the Investigations curriculum appears to have some common underlying ideas with the Everyday Math curriculum (which has also been strongly criticized by some). According to several impact studies, the Investigations curriculum appears to have a positive impact on the achievement of students, and Everyday Math is also a curriculum that is strongly based on research. As someone standing outside of this debackle, I am therefore somewhat amazed by the criticism these curricula has raised. Somewhat, but maybe not all that amazed after all. Our previous Norwegian curriculum (called L97) featured some of the same ideas about teaching and learning of mathematics, with a focus on letting the students discover and reinvent the mathematical ideas, having "mathematics in everyday life" as a main area of the curriculum, etc. After less than 10 years of implementations (evaluation reports showing that the curriculum had not really been implemented in the classrooms), it was replaced by a new curriculum called "Kunnskapsløftet" (Knowledge Promotion). This curriculum has a much stronger emphasis on basic skills, little or no mention of discovery and reinvention, little emphasis on connections with everyday life, etc. So, I guess this debate is not only typical for the US and in this case Loudoun county.

For me as a researcher, I think it is interesting to see how much resistance these "reform curriculum" efforts encounter, and it reminds me of something I read in The teaching gap. Teaching of mathematics appears to be some kind of cultural entity, and I think Stigler and Hiebert used the notion: "cultural scripts". In order to implement a new curriculum, it is often necessary to change some of these cultural scripts, and that appears to be a rather cumbersome endeavor...

P.S. If any of you has some references to research, articles, etc. that relates to the above mentioned curriculum papers, please let me know!

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