A method for the preparation of block copolymers including at least one high vinyl segment, the method comprising (i) charging into a reactor a diene monomer in a hydrocarbon solvent, a catalytically effective amount of anionic initiator, and an oligomeric oxolanyl propane, whereby the reactor is optionally cooled; (ii) allowing the diene monomer to polymerize at a peak polymerization temperature of at least about 18° C. and less than about 60° C. to form a first block where the vinyl content is at least about 50 percent by weight; (iii) after step (ii), charging into the reactor a vinyl aromatic monomer, whereby the reactor is optionally heated to a temperature up to about 60° C.; (iv) allowing the vinyl aromatic monomer to polymerize to form a second block; and (v) optionally charging into the reactor a quenching agent.