The Active sprints of a scrum board just may be the central workspace for a sprint that is in progress. You and your team would usually check Active sprints at least once a day, while a sprint is running — perhaps your team has its daily stand-ups around a monitor displaying Active sprints.
Learn more: Using Active sprints
Development panel for issues
If you have Jira Software connected to your development tools, a 'Development' panel is shown on each issue that shows you information about the commits, branches, pull requests, builds, and more, that are related to the issue. This can help you see discrepancies at a glance — for example, issues that have related commits, but are still in the 'To Do' status.
Learn more: Configuring development tools
Wallboards and gadgets
A wallboard can act as an "information radiator" for your team, letting them know how they are progressing during a sprint, alerting them when builds are broken, reminding them about upcoming team events, and more. You just need to add the desired gadgets to a dashboard, then display it as a wallboard (Tools > View as Wallboard on the dashboard).
Learn more: Configuring dashboards
The Burndown chart shows the work that has been completed in a sprint and estimates how long it will take to complete the remaining work. This can help you determine the likelihood of your team completing a sprint on time — allowing you to visualize or highlight problems so your team can take actions to remedy them.
Learn more: Burndown Chart
Real-time chat notifications for your project
If you really want to keep your finger on the pulse for your sprint, connect your project to your team's HipChat room. Notifications will be sent to the room whenever an issue is created or updated (filtered according to your preference), helping everyone keep track of what's going on.
If you want to discuss an issue in more detail, you can even create a Hipchat room on the fly, directly from the issue. This will associate the current issue and the room, and any changes to the issue will send a notification to that room.
Learn more: Using JIRA applications with Hipchat