We estimate relative achievement effects of the four most commonly adopted elementary mathematics textbooks in the fall of 2008 and fall of 2009 in California. Our findings indicate that one book, Houghton Mifflin's "California Math," is more effective than the other three, raising student achievement by 0.05 to 0.08 student-level…

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

This study originated from the realization that many community college students have significant difficulties with the concepts related to linear functions and their graphs even though these topics are included in the mathematics curriculum from about third grade onward. It is an attempt to identify possible gaps in the math standards in this…

This article summarizes the similarities and differences in grade-level learning expectations for fourth grade as described in state curriculum standards. (Contains 3 tables.)

This study was designed to assess the impact of "Mathematics Pathways and Pitfalls" ("MPP") on the mathematics that second-, fourth-, and sixth-grade students learn. The specific research questions that were addressed are: (a) What is the impact of "MPP" on students' knowledge of the mathematics topics addressed,…