Roberta Bevilacqua, Stefano Strano, Mirko Di Rosa, Cinzia Giammarchi, Katerina Katka Cerna, Claudia Mueller, Elvira Maranesi
eHealth Literacy: From Theory to Clinical Application for Digital Health Improvement. Results from the ACCESS Training Experience
International journal of environmental research and public health
distributive property plays pivotal role advancing students understanding multiplication enabling decomposition problems acquisition new facts however property multiplication difficult students understand used two unique data sets explore middle school students use distributive property study 1 involved data 11 structured interviews students n 24 discussing worked examples solving associated practice problems examined whether students used distributive property solve problems whether interviewers followed recommended distributive property prompts defaulted conventional methods despite exposure worked examples using distributive property protocol calling attention students interviewers favored methods like pemdas parentheses exponents multiplication division addition subtraction long multiplication study 2 used data set middle school students n 131 itemlevel responses kirklands 2022 doctoral dissertation university notre dame brief assessment mature number sense along several related measures domaingeneral domainspecific skills extracted problems involving distributive property analysis surprisingly evidence students use distributive property improved sixth grade eighth grade however gradelevel mathematics achievement cognitive reflection uniquely predicted correct use distributive property results suggest middle school students exhibit stronger reflective thinking tend perform better distributive property problems findings highlight cognitive reflection potentially important construct involved understanding use distributive property