Conceptual mathematics teaching:
4 common misconceptions held by teachers
Updated 2nd September, 2017
“Mathematical procedures, known to mathematicians as algorithms (are) procedures (which) enable (us) to find answers to problems according to set rules.”
“Here’s a rule …
here’s a theory behind the rule …
here’s an example involving the rule …
(write it down) …
here’re some questions for you to practice requiring the rule …
now here’s the next rule … ”
(and repeat).

The belief that conceptuallybased teaching is synonymous with handson activities is, in my view, a misconception.