• Corpus ID: 46020492

Real world problem Real model simplifying Mathematical model mathematizing Mathematical solution working within mathematics Interpreted solution interpreting validating REALITY MATHEMATICS

  title={Real world problem Real model simplifying Mathematical model mathematizing Mathematical solution working within mathematics Interpreted solution interpreting validating REALITY MATHEMATICS},
  author={Katja Maass},
Modelling and application are seen as a highly important topic for maths lessons. But so far the concept “modelling competencies” has not been described in a comprehensive manner. The aim of this paper is to supplement former descriptions of modelling competencies based on empirical data. An empirical study was carried out which aimed at showing the effects of the integration of modelling tasks into day-today math classes. Central questions of this study were – among others: How far do math… 



Understanding Students' Modelling Skills

A pilot research study devised to measure modelling skills at stages in a modelling course and the results provide insights enabling the better understanding of the complexities of learning to model and of teaching mathematical modelling.

Concept mapping in research on mathematical knowledge development: Background, methods, findings and conclusions

The theoretical background and different methods ofconcept mapping for use in teaching and in research on learning processes are discussed. Two mathematical projects, one on fractions and one on


This paper presents the Danish KOM project (KOM: Competencies and the Learning of Mathematics), initiated by the Ministry of Education and other official bodies in order to create a platform for

Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint)

The goals of this chapter are (1) to outline and substantiate a broad conceptualization of what it means to think mathematically, (2) to summarize the literature relevant to understanding

The Effect of Task Organisation on Classroom Modelling Activities

In a course on population modelling, students constructed meaning which ignored the references to an out-of-school reality and constructed a suitable ‘virtual reality’ - a theoretical universe where the students' knowledge of mathematical methods becomes the ultimate formatting force.

Entwicklung und Erprobung eines Tests zur „mathematischen Leistungsfähigkeit“ deutscher und englischer Lernender in der Sekundarstufe I

ZusammenfassungIm Rahmen von empirischen Untersuchungen zum Lehren und Lernen von Mathematik haben wir einen Test entwickelt (“Potentialtest”), der die “mathematische Leistungsfähigkeit” von

ICMI Study 14: Application and Modelling in Mathematics Education — Discussion Document

This paper is the Discussion Document for this study on applications and modelling in mathematics education.

Zur Theoriebildung in der interpretativen mathematikdidaktischen Forschung

ZusammenfassungEs wird über ein Forschungsprojekt (intent) berichtet, das mit einem empirischen Verfahren Wege und Ergebnisse von Theoriebildung in der interpretativen Forschung rekonstruiert.


The CONTEXT ORIENTATED TEACHING (COT) is a model for teaching mathematics and applications, based on Problem Solving and Modelling ideas, where the proper selection of the Context used to introduced,

Metakognition per didaktisch-sozialem Vertrag

ZusammenfassungUnter gewissen Bedingungen kann Metakognition die Effektivität von Denken und Lernen erhöhen. So ist zu beachten, dass es weder eine inhaltsfreie noch eine unverbindliche Entwicklung