For any project or work, better communication is always necessary and with easy means and ways it always boost the performance of the project. Other then communication these apps that I will suggest will help transparency and give actual performance of your teammate or worker plus can give tasks and change or fix any problems that can occurs any time without emailing or text or anything formally by just giving notification to your teammate through best task and project management apps.
Asana is one of the best app that founded by Facebook co-founder and made a well feature app with his genius team. It have simple task manger with easy way to select team and give task to specific member. Any one can see each other responsibilities or you could make private that help transparency and that shows the performance of each worker plus they have comment system for each task that could help each other to communicate to specific work or problem. They have pricing for this app according to number of members and you could use it for free up to 15 members that could help you to test and understand it easily.
TeamworkPM is another option for project or task management and it have so many features that could help big organizations to manage work and project easily with the help of their app. With this app you can give task, can show upcoming work plus communicate through comments and messages. You can see work progress through visualization and can priorities any task or work or everything you might need for management. It uses by log of big organizations like PayPal, EA and Pepsi plus they have price according to project and space that could give flexibility and you could choose any pricing plan according to size of your project.
Basecamp is another well known app that uses by lot of companies like NameCheap an internet domain provider plus by lot more other companies. You can easily create project through their app and invite team member with their task. They have free guide support page that will help you learn some basics and as you will use it you will understand more features. It have almost same pricing to TeamworkPM and you can get 60 days for trial.
I hope these suggested management apps will help you to work with your team with more productivity and make easy for your team to communicate and show their performance of project task. All above suggestion have also apps for smartphones like Android and iOS.