| As a basic deductive science,Mathematics is not only a discipline that can solve problems,but also a highly creative intellectual pursuit that combines logic,imagination and intuition.Children with mathematical talents are considered to have a mathematical mindset,which means mathematical meaning can be found in many aspects of practical things,the basic logic of projects and organizations can be quickly understood.The past empirical studies on mathematically gifted brains mainly focused on the resting state neural activity,stimulation-induced neuronal response and task-related activation regions of the mathematical gifted brain,and there was few research discussed the instantaneous causal effects between cortical layers.In the brain wide-band complex network,the high-frequency oscillation plays the role of front-top function binding and information processing,while the low-frequency synchronization activity plays the role of synchronism between the hemisphere and the two hemispheres.Therefore,this study mainly focuses on the functional connection and effective connection of the brain network in the frequency band and frequency band,and deeply explores the cognitive neural characteristics of the brain with the mathematical talent in the task cycle.Research 1: Functional connectivity network research.This study investigates the power variation of the sub-band cortical network in the three phases of the inference task.At the same time,EEG traceability technology is used to transform the EEG data into source current space,and the functional connection matrix based on weighted phase lag index is constructed.Based on the graph theory analysis,the structural differences between the mathematics day group and the control group on the functional connection network are compared and analyzed.Research 2: Causal effective connectivity network research.Based on the Granger causality of the sliding time window,from two aspects of causal density and causal flow,the transient causal effects between the vertices of the cerebral cortex of the mathematical talents are analyzed.Subsequently,a significant difference analysis is performed between the Granger causality of the mission state time window and the Granger causality of the baseline period in each time window,and a binary validity connection network is constructed thereby.Using the graph theory analysis method,the topological reorganization ability of the mathematical cognitive causal network of mathematics talents is explored from the aspects of characteristic path length.Based on the above research results,this study believes that we have found that mathematic genius adolescents show a more powerful functional connection network than ordinary teenagers when performing inferential tasks,with stronger skill acquisition ability,which is characterized by shorter feature path length and higher global efficiency,which is consistent with the results of the workspace configuration mode of the inference-related network.At the same time,in the cognitive process,the fronto-parietal network of mathematical talent is more "automated" information processing. |