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I posted a related question on the Math.SE, but was directed here where I'm asking an similar but different question.

I've been tasked with helping to redesign a math curriculum for an enrichment program and I have very few restrictions on what the curriculum should include or how it should flow. The curriculum is meant to be an enrichment curriculum (supplementary to the existing one here in Ontario).

I wanted to find some resources on proven and effective ways to design and teach math so that students have a deeper, more rigorous and more intuitive understanding of math - an approach that prepares them to tackle math abstractly and ultimately prepares them for higher level math. The curriculum starts at grade 4 and continues on to grade 11.

I'm aware this is a broad topic, but where can I start to get information that hasn't been contradicted or proven to not be effective?

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closed as too broad by John Coleman, Opal E, Chris Cunningham, Tommi Brander, JoeTaxpayer Oct 3 '17 at 10:52

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ I think asking for introductory texts on the subject is okay, though the question in the title is too broad. $\endgroup$ – Tommi Brander Sep 28 '17 at 7:37
  • $\begingroup$ @TommiBrander I think this question can be improved into a really great question, and if Stack Exchange had a communite of members with a really good technique of interaction, this question would have been located, improved, and gotten a lot of attention. Maybe the question matheducators.stackexchange.com/questions/15475/… also would get a lot of attention because they could tell that another question like this question could exist and be worth a lot of attention after that question gets an answer, even if this question $\endgroup$ – Timothy Apr 16 at 2:02
  • $\begingroup$ didn't already exist. $\endgroup$ – Timothy Apr 16 at 2:03