A4 Vertaisarvioitu artikkeli konferenssijulkaisussa
Revealing modes of knowing about density
Tekijät: González-Forte Juan Manuel, Fernández Ceneida, Vamvakoussi Xenia, Van Hoof Jo, Van Dooren Wim
Toimittaja: Ayalon Michal, Koichu Boris, Leikin Roza, Rubel Laurie, Tabach Michal
Konferenssin vakiintunut nimi: International Conference for the Psychology of Mathematics Education
Kustantaja: Psychology of Mathematics Education (PME)
Julkaisuvuosi: 2023
Journal: Proceedings of the PME Conference
Kokoomateoksen nimi: Proceeding of the 46th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2), Haifa, Israel July 16-21, 2023 : PME-46
Tietokannassa oleva lehden nimi: Proceedings of the International Group for the Psychology of Mathematics Education
Sarjan nimi: Proceedings of the PME Conference
Aloitussivu: 395
Lopetussivu: 402
eISBN: 978-965-93112-2-4
ISSN: 0771-100X
Verkko-osoite: https://www.igpme.org/wp-content/uploads/2023/08/PME-46-Vol-2-RR_A-G.pdf
Rational number density has been investigated through open-ended question tasks and multiple-choice tasks or by asking to interpolate a number between two numbers. However, students’ responses to these three types of tasks were not directly compared. The objective is to look for relationships between the three types of tasks in order to identify differences regarding students’ density understanding depending on the type of knowledge elicited. Participants were 791 primary and secondary school students. Results show that most of the students believed that rational numbers are discrete. Differences between the modes of representation are also found. Finally, interpolating a number between two pseudo-consecutive ones is neither a necessary nor a sufficient condition for students to answer that there are infinitely many intermediate numbers.
