Macarena C García, Lauren M Rossen, Kevin Matthews, Gery Guy, Katrina F Trivers, Cheryll C Thomas, Linda Schieb, Michael F Iademarco
Preventable Premature Deaths from the Five Leading Causes of Death in Nonmetropolitan and Metropolitan Counties, United States, 2010-2022
Morbidity and mortality weekly report. Surveillance summaries (Washington, D.C. : 2002)
fractions gatekeepers advanced mathematics difficult learn one powerful learning mechanism analogy builds fraction understanding preexisting foundation integer knowledge indeed short intervention aligned fractions integers number lines improved childrens estimates fractions yu et al 2022 breadth durability gains however unknown analogies sources percentages may equally powerful investigate issue randomly assigned 109 fourth fifth graders one three experimental conditions different analogical sources integers percentages fractions control condition training children experimental conditions solved pairs aligned fraction number line problems proportionallyequivalent problems expressed integers percentages fractions eg 38 01 number line aligned 3 08 number line children control group solved fraction numberline problems sequentially pretest twoweek delayed posttest children completed broad fraction knowledge battery including estimation comparison categorization ordering arithmetic results showed aligning integers fractions number lines facilitated better estimation fractional magnitudes training effect transferred novel fraction problems two weeks similar gains observed analogies using percentages findings highlight importance building new mathematical knowledge analogies familiar similar sources