Among the schools with the average score in Math over 560 in the SAT test, how many schools are directly charter-funded?
SELECT COUNT(T2.`School Code`) FROM satscores AS T1 INNER JOIN frpm AS T2 ON T1.cds = T2.CDSCode WHERE T1.AvgScrMath > 560 AND T2.`Charter Funding Type` = 'Directly funded'