Definition:
Constructionism, is a mnemonic for two aspects of the theory of science education. Seymour Papert phrased the term “Constructionism” which is a theory on learning, build upon the work of Jean Piaget in constructivist learning theories. From constructivist theories of psychology, Seymour takes a view of learning as a reconstruction rather than as a transmission of knowledge. Then he extends the idea of manipulative materials to the idea that learning is most effective when part of an activity the learner experiences as constructing a meaningful product.
Seymour Aubrey Papert a South African – born American mathematician, computer scientist and educator who spent most of his career teaching and researching at MIT. He was a pioneer of artificial intelligence and of the the constructionist movement in education.
Constructionist learning is when learners construct mental models to understand the world around them. Constructionism advocates student-entered, discovery learning where students use information they already know to acquire more knowledge, learn through participation in project-based learning where they make connection between different ideas and areas of Knowledge facilitated by the teachers through coaching rather than using lectures.
Problem-based learning is a constructionist method which allows students to learn about a subject by exposing them to multiple problems and asking them to construct their understanding of the subject through these problems. Constructionism, not only can be applied to mathematics but also social sciences, technology. Logo language was developed to teach mathematics to children, creating Logo as a toll to improve the way children think and solve problems.
Further Reading:
https://en.wikipedia.org/wiki/Constructionism_(learning_theory)
https://en.wikipedia.org/wiki/Seymour_Papert