The present disclose provides methods and systems for amplifying and quantifying nucleic acids and for detecting the presence or absence of a target in a sample. The methods and systems provided herein may utilize a device comprising a plurality of partitions separated from an external environment by a gas-permeable barrier. Certain methods disclosed herein involve subjecting nucleic acid molecules in the plurality of partitions to conditions sufficient to conduct nucleic acid amplification reactions. The nucleic acid molecules may be subjected to controlled heating in the plurality of partitions to generate data indicative of a melting point(s) of the nucleic acid molecules.