In the learning process, both the Constructivist and Sociocultural theories should be applied to enhance the learning journey as both these theories emphasize the learner using their own knowledge and experience to solve problems through social interactions and reflections (Van De Walle, Karp, Bay-Williams, 2013, p. 29). As a teacher, I need to know the prior knowledge of my students in order to provide them with appropriate challenges in making the connections and bringing them to the next level. I need to apply the following strategies when considering practices that maximize learning:
- Build new knowledge from prior knowledge - through inquiry based approach.
- Provide opportunities for talk about Mathematics - through interaction with peers and teacher.
- Build in opportunities for reflective thought - by engaging students in interesting problems in which they use their prior knowledge to search for solutions and create new ideas.
- Encourage multiple approaches - by sharing ideas.
- Engage students in productive struggle - not by showing them but by asking probing questions until they reach a solution.
- Treat errors as opportunities for learning - by addressing student misconception.
- Scaffold new content - by giving more structure, and
- Honour diversity - by including student's ideas for classroom discussion