Suche
Anzeige der Dokumente 1-6 von 6
Aufsatz
Auswirkungen verschachtelten Lernens auf das prozedurale und konzeptuelle Wissen von Lernenden über Zuordnungen
(2020-04-06)
Häufig werden im Mathematikunterricht Lerninhalte eher separiert behandelt. Der Ansatz des sogenannten verschachtelten Lernens geht dagegen davon aus, dass es in vielen Fällen sinnvoll ist, die Lerninhalte abwechselnd und vermischt anzuordnen, um bei den Schülerinnen und Schülern lern- und verstehensförderliche Prozesse anzuregen sowie nachhaltiges Lernen zu fördern. Verschachteltes Lernen zählt zu den wünschenswerten Erschwernissen. Das Ziel der wünschenswerten Erschwernisse ist, durch eine Erhöhung des kognitiven ...
Aufsatz
Using heuristic worked examples to promote solving of reality-based tasks in mathematics in lower secondary school
(2022-04-19)
This study examined whether learning with heuristic worked examples can improve students’ competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks), worked example condition (students studied worked examples representing a realistic process of problem-solving by fictitious students negotiating solutions to the tasks), and ...
Aufsatz
Improving Prospective Teachers’ Beliefs About a Double Discontinuity Between School Mathematics and University Mathematics
(2022-05-12)
Prospective teachers often perceive a “double discontinuity” between school mathematics and university mathematics. The first discontinuity can be described as the belief that there is no coherence between school mathematics and university mathematics, which forms part of the notoriously problematic transition from school to university. The second discontinuity can be described as a belief about the lack of relevance of university mathematics for the later professional practice of prospective teachers. Beliefs about ...
Aufsatz
The relationship between accuracy in numerosity estimation, math achievement, and math interest in primary school students
(2023-07-10)
Estimation is a primary activity in everyday life, so getting it “right” in primary school provides a foundational basis in mathematical reasoning. This study focuses on numerosity estimation in primary mathematics, which is one of four types of estimation reported in literature. In numerosity estimation, a non-numerical quantitative representation is typically translated into a number. While it is assumed that fostering numerosity estimation has a great impact on the development of mathematical skills, research ...
Aufsatz
Promoting pre-service teachers’ professionalism in steam education and education for sustainable development through mathematical modelling activities
(2023-06-19)
To successfully solve the complex challenges facing us in the 21st century, people with expertise in the science, technology, engineering, arts and mathematics (STEAM) fields and other fields are needed, especially for their interdisciplinary way of thinking and working. These competencies should be learned in school, which first implies teacher education to that effect. In this article, a detailed theoretical reflection on the connections or overlapping areas between STEAM education and the dimension of sustainability ...
Aufsatz
Fostering diagnostic competence in prospective mathematics elementary teachers through epistemic activities
(2023-12-21)
Research on fostering teachers’ diagnostic competence and thinking has become increasingly important. To this end, research has already identified several aspects of effective fostering of teachers’ diagnostic competence. One of the aspects is assignment of the role as a teacher in interventions but, so far, assignment of the role of student has hardly been considered. Based on a model of the diagnostic thinking process, this paper operationalizes the role of the student by solving specific tasks and the role of the ...