Fractional commensurate, composition, and adding schemes

By Leslie P. Steffe. 2003

87 citations recorded by the source corpus.

Subfields: Education, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/95faef7893f8896b956472a88c0def09733e5a40

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Education

In Statistics and Probability

Citations in the corpus

On the Construction of Learning Trajectories of Children: The Case of Commensurate Fractions (2004, background): “Because the teaching experiment continued on throughout the children’s fifth grade, it is by no means a complete account of the two children’s construction of commensurate fractions (cf. Steffe, 2003, for an account of the continuation of the teaching experiment with Jason and Laura).”
Mathematical Knowledge for Teaching Fraction Multiplication (2008, background): “Steffe (2003, 2004) has defined recursive partitioning to be taking a partition of a partition in the service of a non-partitioning goal.”
Students' Whole Number Multiplicative Concepts: A Critical Constructive Resource for Fraction Composition Schemes. (2009, background): “Although researchers prior to Olive (1999) and Steffe (2003) have not necessarily used schemes in studying fraction multiplication, they have emphasized partitioning – a particular mental operation – and conceptualizing units as critical to students’ construction of fraction multiplication.”
Units coordination and the construction of improper fractions: A revision of the splitting hypothesis (2007, methodology): “Once he could split, at the start of his fifth grade, he could use his splitting operation in constructing commensurate fractional schemes and fractional composition schemes, which indicated he was coordinating three levels of units prior to activity (Steffe, 2003, 2004).”
Teaching and Learning Fraction Addition on Number Lines (2008, background): “Recursive partitioning (Steffe, 2003, 2004) is defined to be taking a partition of a partition in the service of a nonpartitioning goal.”
Mathematical Caring Relations in Action (2010, background): “Steffe (2003) calls the operation involved in this activity recursive partitioning.”