Comparative analysis of mathematical modeling problem situations in middle school entrance examination questions:Taking Guiyang middle school examination papers from 2020 to 2023 as an example
The concept of modeling is one of the main manifestations of core competence at the middle school stage,which is often examined through problem situations in middle school mathematics entrance exam questions.This study conducted a comparative analysis of mathematical modeling problem situations in Guiyang middle school entrance examination papers from 2020 to 2023 focusing on five dimensions:"situational types","modeling levels","levels of authenticity","representational characteristics",and"reading volumes".The study reveals that the quantity of the four sets of exam questions has little change while remaining relatively high stability;situational types tend to examine"life situations"while gradually increasing the reference to"cultural situations";the modeling levels are relatively low,emphasizing the examination for understanding and application of models;there are differences in levels of authenticity,representational features,and reading volumes.Based on these findings,the following teaching suggestions are proposed:enrich situational types and increase mathematical modeling compe-tence;create authentic situations to understand the essence of mathematics;apply diverse representational meth-ods to help the problem information obtained and cultivate students'fast reading abilities.
middle school entrance examination questionsmathematical modelingproblem situationscom-parative analysis