The gunman approached the 33-year-old in Dornoch Place, Bishopbriggs, shot him and then ran off towards Ronaldsay Drive at about 3:10pm on Thursday 24 September.
The victim had been in the area to collect his daughter from primary school.
St Helen’s Primary School and Bishopbriggs Academy are near the scene of the shooting, which took place as pupils left both schools for the day. No-one from either establishment was involved in the incident.
Armed response teams were sent to the scene in the East Dunbartonshire town on Thursday last week. Police were yesterday revisiting the area to speak to residents, parents and people working locally as part of their ongoing inquiry.
A key focus of the investigation is a burnt-out grey Volkswagen Golf with the registration plate FR12 PYB which was recovered in the area of Wood Lane a short distance from where the incident occurred. The vehicle was reported stolen in March this year.
Detective superintendent Stephen Grant said: “By revisiting the scene, we hope to jog people’s memories before, during and after the incident.
“Perhaps you saw the Volkswagen Golf in another street or saw something suspicious which you didn’t think was before.
“We suspect this car has been involved with the shooting incident and I would ask anyone to get in touch who may know something.”
Police said the victim was known to them and had been “specifically targeted” by his attacker. He was taken to hospital for treatment following the attack. The suspect is described as being in his mid to late 40s, about 5ft 10ins to 6ft, and with a heavy build.
He was wearing a high-visibility reflective yellow colour jacket with the hood pulled up and had a silver-coloured handgun.
Chief inspector Craig Smith, the local area commander, said: “We have increased our policing presence in the local community to reassure the public and, again, I would encourage people to approach my officers with any concerns.
“My campus police officer, who is well-known to pupils, will be in the local primary school this week to engage with pupils and provide reassurance.”