On students' understanding of volumes of solids of revolution: An APOS analysis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10455688" target="_blank" >RIV/00216208:11320/23:10455688 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=wj3-XKzu9j" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=wj3-XKzu9j</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmathb.2022.101027" target="_blank" >10.1016/j.jmathb.2022.101027</a>
Alternative languages
Result language
angličtina
Original language name
On students' understanding of volumes of solids of revolution: An APOS analysis
Original language description
We apply Action-Process-Object-Schema theory (APOS) to (1) examine the textbook used by students in the study to infer mental constructions the book proposes that students could do to understand solids of revolution, (2) use semi-structured interviews with nine students to find out which of the textbook's proposed constructions students actually do, and what unconjectured or unexpected constructions students do, and (3) use the results of the interviews and the research literature to inform and set forth an alternative proposal for constructing volumes of revolution. Results suggest that many students have not constructed processes to visualize solids of revolution and to relate Riemann sums to the corresponding definite integrals. Implications for curriculum and instruction are discussed.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
50301 - Education, general; including training, pedagogy, didactics [and education systems]
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Behavior [online]
ISSN
0732-3123
e-ISSN
1873-8028
Volume of the periodical
2023
Issue of the periodical within the volume
07323123
Country of publishing house
GB - UNITED KINGDOM
Number of pages
20
Pages from-to
1-20
UT code for WoS article
000913575900001
EID of the result in the Scopus database
2-s2.0-85144995447