Yanguang Chen
Spatial autocorrelation equation based on Moran's index
Scientific reports
mathematical manipulative models long history influence biological research secondary school education frequently neglected undergraduate biology education linking mathematical manipulative models fourstep process1 use physical manipulatives 2 interactive exploration computer simulations 3 derivation mathematical relationships core principles 4 analysis real data setswe demonstrate process shared biological faculty development workshops led staff bioquest curriculum consortium past 24 yr built approach based upon broad survey literature mathematical educational research convincingly demonstrated utility multiple models involve physical kinesthetic learning actual data interactive simulations two projects use approach introduced biological excel simulations tools exploratory experiential mathematics esteem project httpbioquestorgesteem numerical undergraduate mathematical biology education numb3r5 count httpbioquestorgnumberscount examples emphasize genetics ecology population biology photosynthesis cancer epidemiology mathematical manipulative models help learners break prior fears develop appreciation mathematical reasoning informs problem solving inference precise communication biology enhance diversity quantitative biology education