6533b86cfe1ef96bd12c87a3
RESEARCH PRODUCT
On students' understanding of Riemann sums of integrals of functions of two variables
María Trigueros GaismanRafael Martinez-planellsubject
[SHS.EDU]Humanities and Social Sciences/Education[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO]integral calculus[SHS.EDU] Humanities and Social Sciences/Education[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO]Physics::Physics EducationKeywords: Functions of two variablesAPOSdescription
International audience; APOS (Action-Process-Object-Schema) Theory is used to pose and test a conjecture of mental constructions that may be used to understand the relation between integrals of two variable functions over rectangles and corresponding Riemann sums. Interviews with ten students who had just finished a multivariable calculus course showed that the conjectured mental constructions are necessary.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-04-05 |