This is the 5416th most frequent Russian word.
педагогических
"Pedagogical" – relating to teaching or education.
Here, 'педагогические' describes the methods used in pedagogy or education.
Современные педагогические методы обучения считаются очень эффективными.
Modern pedagogical teaching methods are considered very effective.
In this usage, 'педагогическую' modifies 'literature,' indicating materials related to teaching and pedagogy.
Она изучает педагогическую литературу для подготовки к урокам.
She is studying pedagogical literature to prepare for lessons.
Here, 'педагогической' qualifies 'psychology,' indicating the aspect of psychology dealing with teaching and education.