The Arithmetic Teacher · 1972 · 45 citations · 0 references
EducationElementary EducationMathematics EducationEarly Childhood Mathematics EducationElementary Mathematics EducationMathematics InstructionMathematical KnowledgeMathematical ModelingMathematical ReasoningMathematics PedagogyModel TheoryConcept Formation In MathematicsMathematical Conceptual UnderstandingMathematical Modeling In EducationMathematical PedagogyMathematics Learning TheoriesModeling In Mathematics EducationRepresentations In Mathematics LearningScaffolded Learning Environments
Although there is reasonable agreement about which mathematical ideas should be taught in the elementary school (Begle 1966) and that these ideas should be taught meaningfully (Dawson and Rud-dell [a] 1955), there is little agreement on how learning environments should be structured to facilitate this learning. One reason for this lack of agreement is an inadequate recognition of the role that concrete and symbolic models can and should play in facilitating the learning of mathematical ideas.