MYSQL compara no problema de junção

SELECT  t.teacherId, s1.subjectName AS name1, s2.subjectName AS name2, s3.subjectName AS name3
FROM    teacherProfile t
LEFT JOIN
        subjects s1
ON      s1.subjectId = t.subjectOne 
LEFT JOIN
        subjects s2
ON      s2.subjectId = t.subjectTwo
LEFT JOIN
        subjects s3
ON      s3.subjectId = t.subjectThree
WHERE   'English' IN (s1.subjectName, s2.subjectName, s3.subjectName)

, ou, referindo-se ao seu problema original,

SELECT  t.teacherId, s1.subjectName AS name1, s2.subjectName AS name2, s3.subjectName AS name3
FROM    teacherProfile t
LEFT JOIN
        subjects s1
ON      s1.subjectId = t.subjectOne 
LEFT JOIN
        subjects s2
ON      s2.subjectId = t.subjectTwo
LEFT JOIN
        subjects s3
ON      s3.subjectId = t.subjectThree
WHERE   MATCH(s1.subjectName, s2.subjectName, s3.subjectName) AGAINST ('+English +Physics' IN BOOLEAN MODE)

(funciona apenas se ambas as tabelas forem MyISAM )

Isso retornará todos os professores que ensinam English e Physics .