Convergent Means Close together. How much observed variables are close to latent variable ? Discriminant means difference or distance. How much latent variables or constructs are different with each other ? Convergent validity is measured with Average Variance Extracted or AVE which should be .5 or more.
Discriminant Validity is established when AVE is more than MSV and ASV along with repots should be made on square root of AVE is more than corresponding latent variable correlations.