The phrase "to construct the world" means to create or build the way the world works or functions. It implies how individuals or societies have the power to shape and design the world based on their actions, choices, and beliefs. Full definition
But as desire becomes stronger than necessity, the exchange becomes an uneasy, ongoing arrangement which threatens not only his carefully constructed world but also his life. (filmireland.net)
Much has been written on how our diverse life experiences lead us to construct our worlds differently. (religion-online.org)
For, in disciplined inquiry responsible men construct a world in truth. (religion-online.org)