In the context of early algebra research and as part of a classroom teaching experiment (CTE), we investigated fourth grade (9- to 10-year-old) students' justifications of how they performed tasks involving the functional relationship y = 2x. We related their written justifications (part of ...
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On TIMSS, a math exam given to students in grades 4, 8, and 12 around the world, U.S. fourth graders scored above average when compared to fourth graders in other countries. U.S. eighth graders, however, scored below average. In fact, the United States was the only country in which...
In their study of 11th graders, they found that that few used structure sense to factor quadratic expressions like (2x + 3)2 − 12(2x + 3) + 36 (22 out of 88 students used structure sense with this expression). They noted that students in "advanced" classes were more likely use ...
"Solve for x." While many people first encountered this enigmatic instruction in high school, the last 20 years have seen a strong push to get students to take algebra in eighth grade or even before. Today, concerns about the economy highlight a familiar worry: American eighth-graders trail...
and white students earning the highest grades. There are also differences in the share of 12th-graders who advance to calculus, with Asian Americans at 25%, white students 13%, Latinos 7% and Black students 5%, according to a February 2023 report ...
First, we aimed to better characterize children’s processing of rational number symbolic magnitudes by assessing whether fourth to seventh graders exhibit ratio-dependent responding when comparing rational numbers both within notation (e.g., fraction vs. fraction, decimal vs. decimal, whole number vs...