Correction to: Scientific Reportshttps://doi.org/10.1038/s41598-024-65226-7, published online 5 August 2024

The Funding section in the original version of this Article was omitted. The Funding section now reads:

“The work was supported by the School of Shaanxi Normal University Teacher Development and the Shaanxi Teachers Development Research Institute: [Project number 2023JSZ012]; the National Key Research and Development Program of the 14th Five-Year Plan, “Research on Intelligent Evaluation of Teachers’ Teaching Ability and Precision Teaching Assistance Technology in Rural Areas” (Project No. 2022YFC3303600), with the sub-project “Innovative Demonstration Application of Intelligent Teaching in the Context of Rural Online Schools”. Recipient: Wenlan Zhang”.

The original Article has been corrected.