While both constructivist and constructionist approaches rely on the idea that knowledge is built by the learner based on his/her prior knowledge and new personal experiences, the latter is more concerned with sharing that new knowledge with others. It is also more concerned with "making" something based on this knowledge. Computers and new modes of literacy and communication help in the construction of new knowledge, constructionits say.
Considering this distinction, it is clear then, that constructionism is more compatible with multiliteracy frameworks, as it considers different modes of presenting and demonstrating knowledge as valid. Being multiliterate means being competent in the use of technology to learn and share new knowledge.