Geodesic
$P$ Problem as a means to encourage students' conceptualization of fractions
The Teaching of Mathematics, XXVI (2023) no. 1, p. 29 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Students connect fractions with pie-charts as they are taught in 3rd grade in Lithuania, but they do not have a deeper understanding of the concept. Word problems could be a tool to find misunderstandings and conceptions of fractions students have. In this study, we use word problems where fractions are shown as a numerical magnitude of a level of liquid in a glass (as an analogy to a number line) and check them with students. Each additional drop of liquid gives a new fraction. This way we raise the discussion in class and find out in which phase of the conception of fractions the students are and what misunderstandings and correct ideas they have about fractions. We did design-based research, conducted the teaching experiment, and analyzed qualitative data. We suggest a lesson plan including word problems that teachers can use to raise a discussion.
DOI : 10.57016/TM-EQGL7427
Classification : 97F40 F41
Keywords: measurement, fractions, word problems, conception of fraction, synthetic model. 
@article{10_57016_TM_EQGL7427,
     author = {Ieva Kiliene},
     title = {$P$ {Problem} as a means to encourage students' conceptualization of fractions},
     journal = {The Teaching of Mathematics},
     pages = {29 },
     publisher = {mathdoc},
     volume = {XXVI},
     number = {1},
     year = {2023},
     doi = {10.57016/TM-EQGL7427},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.57016/TM-EQGL7427/}
}
TY  - JOUR
AU  - Ieva Kiliene
TI  - $P$ Problem as a means to encourage students' conceptualization of fractions
JO  - The Teaching of Mathematics
PY  - 2023
SP  - 29 
VL  - XXVI
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.57016/TM-EQGL7427/
DO  - 10.57016/TM-EQGL7427
LA  - en
ID  - 10_57016_TM_EQGL7427
ER  - 
%0 Journal Article
%A Ieva Kiliene
%T $P$ Problem as a means to encourage students' conceptualization of fractions
%J The Teaching of Mathematics
%D 2023
%P 29 
%V XXVI
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.57016/TM-EQGL7427/
%R 10.57016/TM-EQGL7427
%G en
%F 10_57016_TM_EQGL7427
Ieva Kiliene. $P$ Problem as a means to encourage students' conceptualization of fractions. The Teaching of Mathematics, XXVI (2023) no. 1, p. 29 . doi : 10.57016/TM-EQGL7427. http://geodesic.mathdoc.fr/articles/10.57016/TM-EQGL7427/

Cité par Sources :