Was Kinder über grundlegende Prinzipien der Evolution denken
Samen werden in Fabriken produziert oder im Supermarkt eingekauft).
Mathematical proof is essential for mathematics as a discipline. Thus, mathematics students are expected to learn to handle proofs proficiently in multiple situations, for example, when constructing, comprehending, or validating proofs. However, there is only limited evidence on whether performances in proof construction, comprehension, and validation can better be described by one overall mathematical proof skill or multiple skills that may be highly related but are still separable. In particular, prior theoretical conceptions and empirical research provide no conclusive evidence in either direction. The present study empirically addresses this issue by comparing five different structural equation models (SEM), ranging from a 1-dimensional overall skill to 2-dimensional models to a 3-dimensional model with individual skills for each activity. Evidence from 153 undergraduate mathematics students showed that a 2-dimensional model corresponding to a skill for proof construction and a combined second skill for proof comprehension and validation matches the data best and is superior to the other models based on multiple criteria for SEM model fit and comparison. While both skills are highly related, data still suggests that they should be conceived as separate skills. The finding has implications for ways how validating and comprehending proofs could be incorporated into learning how to handle mathematical proofs.
Publikationen des IPN Proof comprehension, proof validation, & proof construction: All the same
Mathematical proof is essential for mathematics as a discipline. Thus, mathematics students are expected to learn to handle proofs proficiently in multiple situations, for example, when constructing, comprehending, or validating proofs. However, there is only limited evidence on whether performances in proof construction, comprehension, and validation can better be described by one overall mathematical proof skill or multiple skills that may be highly related but are still separable. In particular, prior theoretical conceptions and empirical research provide no conclusive evidence in either direction. The present study empirically addresses this issue by comparing five different structural equation models (SEM), ranging from a 1-dimensional overall skill to 2-dimensional models to a 3-dimensional model with individual skills for each activity. Evidence from 153 undergraduate mathematics students showed that a 2-dimensional model corresponding to a skill for proof construction and a combined second skill for proof comprehension and validation matches the data best and is superior to the other models based on multiple criteria for SEM model fit and comparison. While both skills are highly related, data still suggests that they should be conceived as separate skills. The finding has implications for ways how validating and comprehending proofs could be incorporated into learning how to handle mathematical proofs.
Publikationen des IPN Proof comprehension, proof validation, & proof construction: All the same
However, in the same condition, another teacher provided productive learning opportunities
However, in the same condition, another teacher provided productive learning opportunities
However, in the same condition, another teacher provided productive learning opportunities
However, in the same condition, another teacher provided productive learning opportunities
At the same time, the results reveal monitoring strategies that can be addressed
At the same time, the results reveal monitoring strategies that can be addressed
At the same time, the results reveal monitoring strategies that can be addressed
At the same time, the results reveal monitoring strategies that can be addressed
At the same time, their problem-solving capabilities offer potential for formative
At the same time, their problem-solving capabilities offer potential for formative
Am Montag, 18.Dezember, 13:00 Uhr, hält Andrew Shtulman, Professor und Department Chair am Occidental College in Los Angeles, auf Einladung der IPN-Abteilung Didaktik der Biologie einen Vortrag im Rahmen des IPN-Kolloquiums.
scientific theories, competing with those theories to provide inferences about the same
Auf der diesjährigen IPN Sommertagung präsentierten drei Nachwuchswissenschaftler im Science Slam ein Video, das wir nun auch einem größeren Publikum zeigen möchten. Wir haben mit ihnen über ihr Video, ihre Forschung und ihre Eindrücke vom Leben und Arbeiten in Kiel gesprochen.
However, we do sit in the same office and exchange ideas about our research, and
