Asana’s approach to project management is more conventional than Jira’s, which is rooted in the agile methodologies that originated with software development teams and other IT projects.

Atlassian, the multibillion-dollar maker of software for programmers, is focusing on modernizing its core tool, Jira.

Atlassian previewed the next generation of its hosted Jira Software project tracking tool earlier this year. Today, it’s available to all Jira users. To build the new Jira, Atlassian redesigned ...