Amodifiedpolynomialpreservinggradientrecoverytechniqueisproposed.Unlikethepolynomialpreservinggradientrecoverytechnique,thegradientrecoveredwiththemodifiedpolynomialpreservingrecovery(MPPR)isconstructedelement-wise,anditisdiscontinuousacrosstheinterioredges.OneadvantageoftheMPPRtechniqueisthattheimplementationiseasierwhenadaptivemeshesareinvolved.SuperconvergenceresultsofthegradientrecoveredwithMPPRareprovedforfiniteelementmethodsforellipticboundaryproblemsandeigenvalueproblemsunderadaptivemeshes.TheMPPRisappliedtoadaptivefiniteelementmethodstoconstructasymptoticexactaposteriorierrorestimates.Numericaltestsareprovidedtoexaminethetheoreticalresultsandtheeffectivenessoftheadaptivefiniteelementalgorithms.