This paper studies the thermal and physical properties of concrete containing glass at different cooling paths. The coarse aggregates in the concrete samples with glass aggregate are 50% calcareous sand and 50% glass. After heating at different temperature, the samples are cooled at water (thermal shock) and air (thermal aging), and then dried. Afterwards, surface color, mass, thermal conductivity, compressional wave velocity, and compressive strength of the samples are measured. The results show that the color change is related to the content of Ca(OH)2. The mass change is mainly related to the evaporation of free water and chemically bond water and the mass loss of thermal shock samples is lower than that of thermal aging samples. The thermal conductivity of concrete made with limestone is higher than that of concrete made with glass. Thermal shock has little effect on the wave velocity and compressive strength of the concrete. The strength of the samples made without glass is significantly higher than that of the samples made with glass. Thermal shock causes a denser microstructure than thermal aging due to the rehydration of the components. The color change, mass loss, thermal conductivity, wave velocity, and compressive strength of the concrete are related to the rehydration of components in concrete and the relationships between these parameters show good linear relationships.