PROCEEDINGS OF THE 19TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2016
Pittsburgh, Pennsylvania
Limitations of a “chunky” meaning for slope
Page: 596
This paper will investigate the question “What mathematical meanings do high school mathematics teachers hold for slope and rate?” It will also investigate to what extent these meanings for slope and rate are multiplicative, that is built on an image of quotient as a measure of relative size. A multiplicative meaning for rate of change is powerful because it allows the teacher to better differentiate between additive and multiplicative situations. The data comes from the administration of the diagnostic instrument named “Meanings for Mathematics Teaching Secondary Math” (MMTsm).