A method of making a structural insulated panel includes providing a core of thermally insulating material having a first side and a second side, mixing a concrete material comprising calcium sulfoaluminate (CSA) cement and reinforcing material, and applying a first skin of the concrete material while wet onto the first side of the core. The first skin is allowed to at least partially cure, thereby bonding the first skin to the first side of the core without a separate adhesive or binder apart from the concrete material. A second skin of the concrete material may be applied while wet onto the second side of the core, and the second skin may be allowed to at least partially cure, thereby bonding the second skin to the second side of the core without a separate adhesive or binder apart from the concrete material.