The Place of Meaning in the Teaching of Arithmetic

Factors inhibiting change — a case study of a beginning primary teacher

“…Where mathematical procedures are used it is preferable that their meaning be explained (Brownell, 1947;Beul, 1980). ii) Relational understanding of mathematics is ideally the goal of teaching and teachers should strive to determine whether pupils are merely learning instrumentally (Skemp, 1979;Confrey, 1981.…”

Aprendo Enseñando: Autonomy, Creativity, and Technology to Promote Mathematical Learning

“…Just to begin mentioning some of them, going back to Brownell (1947), the teaching for procedural fluency fits mostly with meaningless teaching, with some lights of meaning for in terms of the procedures achieveing meaning when students are able to overcome previous blockages, while the inclusión of AE provides the opportunity for the inclusión of meaning for as procedures are meaningful for their own explanation, and additional meaning of as the value of procedures and pre-requisites is highlighted in the construction of the explanation.…”

A Survey of Mathematical Education

“…To develop better methods is really the task at a more adequate psychology of thinking and learning." It seems likely that the developmental concepts of Piaget (e.g., see 165,166,167) [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. Among the mathematical questions he has looked into are the multiplication combinations (33), borrowing in the sUbtraction of integers (37), and mathematical readiness (38).…”