We investigate 234 individual students’ profiles of the occurrence of the natural number bias and their ability to process fraction magnitude.
Cluster analysis on the comparison task revealed 3 clusters: Typical Bias (better performance on items congruent to natural number-based reasoning), Reverse Bias (better performance on incongruent items), and No Bias (similar performance on congruent and incongruent items).
Only students in the No Bias cluster but not students in the other clusters demonstrated a distance effect in symbolic fraction comparison, suggesting fraction magnitude processing.
Linear mixed models on the percent absolute error in the magnitude estimation task revealed significantly lower percent absolute error for students in the No Bias cluster compared to students in the other two clusters.
These results suggest that the occurrence of the natural number bias and the ability to process fraction magnitude are closely related.
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(2) Results suggest that the congruency strategy is inadequate to describe participants' performance, as congruent items turned out to be more difficult than incongruent ones when fractions had no common component.
(3) Yet, no sufficient evidence was found to show that the applicability of the gap thinking strategy modulated either accuracy rates or response times.
(2) Our paper aims at identifying ontological categories as higher-order #knowledge structures that underlie engineering students' thinking about technical systems.
(3) Derived from interviews, these ontological categories include, inter alia, a focus on the #behavior, #structure, or #purpose of a #technical system.
"ALICE:fracciones" es un libro para la enseñanza y el auto-estudio que está diseñado para su uso en clases. La versión web gratuita e independiente de la plataforma puede utilizarse en línea sin necesidad de registrarse alice.edu.tum.de | #educacion#fracciones
(2) El libro introduce importantes conceptos y métodos relativos al tema de las #fracciones de manera exploratoria. Su enfoque exploratorio lo hace adecuado para su uso en el aula, así como para sesiones de aprendizaje individuales y el #aprendizaje remoto.
(3) Muchos ejercicios interactivos, emocionantes y divertidos ayudan a relacionarse al tema de las #fracciones en profundidad y a ponerse en contacto con él literalmente.
(2) Mit zahlreichen interaktiven Aufgaben lädt das digitale Buch zum selbst Erkunden und Erfahren ein. Ideal zum unterrichtsbegleitenden #Lernen – oder zum #homeschooling – in der 6. Klasse vermittelt das Buch wichtige Begriffe und Konzepte zum Thema #Bruchrechnen.
(2) The book introduces important concepts and methods concerning the topic of fractions in an explorative way. Its explorative approach makes it suitable for use in #classroom as well as for individual learning sessions.
(3) Many exciting and fun interactive exercises help to get used to the topic of fractions in depth—and literally get in touch with it.
(2) We analyzed the relative importance of different cognitive abilities for solving Complex mathematical Word Problems (#CWP)—a demanding task of high relevance for diverse fields and contexts.
(3) We investigated the effects of spatial, verbal, numerical, and general reasoning abilities as well as gender on CWP performance among 1282 first-year university #engineering students.