Stephenie Tait, 29, died when the vehicle lost control in George Square on December 22.
She was one of six people killed and ten injured in the incident.
Some of the pupils from the Catholic school where Miss Tait was a teacher attended her funeral at St Thomas the Apostle Church in Riddrie.
Her parents Alan and Margaret, sister Pamela and her partner Martin were all there.
Canon Peter McBride, local parish priest and family friend, led the service.
He said: "Two weeks ago none of us could have foreseen the tragic events which have brought us to this church today; a horrendous accident which caused death and carnage.
"Few in our city and our nation have been left untouched by the happenings on that fateful day. But for us who gather here, our grief and loss is acute, and our pain tangible. We come here as family to surround Alan, Margaret, Pamela and Martin with our presence, our prayers and our love.
"All of us are still in a state of shock at the loss of Stephenie and that sense of loss will continue for those closest to her for the rest of their lives.
"However, we also gather as a people of faith, inspired by Stephenie's own faith - a personal witness which energised her to dedicate her short life to teaching children and directly helping them to understand and feel God's personal love for each of them."
The church heard about the "tremendous impact" her life had on everyone she taught.
Canon McBride added: "She brought order, organisation, good humour and a sense of calm into family life, her teaching career, her parish ministry, and into her friendships. Her attention to detail (especially personal grooming) is legendary, and she has left a legacy of fun and laughter combined with a strong determination to be all you can be.
"She was a modern woman with strong principles and values she felt were worth handing on to others.
"Although Stephenie's death has caught us unprepared and thrown her into the centre of homes and communities where she was not known, her life has also greatly enriched so many who have known and loved her.
"Her dedication and service as a teacher, and her ability to engage and inspire all of us with an intimacy we normally only associate with family or special friends, is a blessing we shall cherish for the rest of our lives."
The priest said Miss Tait was "comfortable and very much at home" in church.
"In St Paul's letter to the Romans we hear that 'the life and death of each of us has its influence on others'. These words ring true for us today as we recall that Stephenie's death has been widely reported far beyond the confines of this parish community, this city and indeed this country," he said.
"So many expressions of solidarity and prayers for Martin, for Alan and Margaret and for Pamela have been placed at St Philomena's school, where Stephenie taught, at the site of her tragic death, and also in so many conversations on social media of these past two weeks."