The strike will affect 71,000 students across 147 schools, and 5,353 teachers and specialized service providers.
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DPS has said more than half of teachers surveyed in high priority schools said an incentive influenced their decision to stay.
Gov. Jared Polis is still encouraging teachers and Denver Public Schools to restart negotiations to avoid the strike.
When negotiations resumed last week, the wedge between the teacher's union and the district grew even larger.
Studies show children who attend full-day kindergarten go on to perform better, and that the program evens the playing ground for students who would otherwise be at a disadvantage.
The rejection of the school district’s latest offer comes after 14 months of contentious negotiations to overhaul the district’s pay and teacher incentive system.
Denver Public Schools district officials had requested the Colorado Department of Labor help prevent the strike.
A Denver teachers union official says it's unlikely a strike would start next week. That's because the teacher's union must wait for clearance from the state.
Educators with mortgages spend 40 percent, while teachers who rent spend 50 percent. Experts recommend that individuals spend no more than 30 percent on housing costs.
The earliest teachers could legally walk off the job is Monday. It would be the first teacher walkout in 25 years.
After 10 hours of negotiations Friday, talks between the teachers union and the city’s school district collapsed over pay and compensation.
More minority students are graduating within four years than ever before, but the rate is still 10 points lower than that of white students.
William Kohut will retire from the renowned public performing arts school after two district investigations into allegations of abuse. Kohut has led the school since 2009.
Denver Public Schools teachers and district leaders have been at the negotiation table for more than a year.