  This paper is a slightly reduced and concise version of a course given at
Geonet2019 school on New Trends in Mathematical Methods for Physics at IMSP in
Rep. of Benin, May 2019. The notes are intended to provide the reader with an
introduction of a more recent procedure of quantization that is a
generalization of the coherent states quantization procedure, highlighting the
link between symplectic geometry and classical mechanics. The topic and the
goal of the Geonet2019 school motivated the choice of the title of the course
as New Trend in Quantization Methods. It is also a coincidence of a current
research interest in integral quantization.
