# Modelling and Applications in Mathematics Education

## The 14th ICMI Study

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Part of the New ICMI Study Series book series (NISS, volume 10)

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Part of the New ICMI Study Series book series (NISS, volume 10)

The overall goal of *Modelling and Applications in Mathematics Education* is to provide a comprehensive overview of the state-of-the-art in the field of modelling and applications in mathematics education. Key issues are dealt with, among which are the following:

**Epistemology** and the relationships between mathematics and the "rest of the world"; the meaning of mathematical modelling and its process components; the respect in which the distinction between pure mathematics and applications of mathematics make sense

**Authenticity and Goals** dealing with modelling and applications in mathematics teaching; appropriate balance between modelling activities and other mathematical activities; the role that authentic problem situations play in modelling and applications activities

**Modelling Competencies:** characterizing how a student's modelling competency can be characterized; identifiable sub-competencies, and the ways they constitute a general modelling competency; developing competency over time

**Mathematical Competencies:** identifying the most important mathematical competencies that students should acquire, and how modelling and applications activities can contribute toward building up these competencies; the meaning of "Mathematical Literacy" in relation to modelling

**Modelling Pedagogy:** appropriate pedagogical principles and strategies for the development of modelling courses and their teaching; the role of technology in the teaching of modelling and applications

**Implementation and Practice:** the role of modelling and applications in everyday mathematics teaching; major impediments and obstacles; advancing the use of modelling examples in everyday classrooms; documenting successful implementation of modelling in mathematics teaching

**Assessment and Evaluation:** assessment modes that capture the essential components of modelling competency; modes available for modelling and applications courses and curricula; appropriate strategies to implement new assessment and evaluation modes in practice

The contributing authors are eminent members of the mathematics education community. *Modelling and Applications **in Mathematics Education* will be of special interest to mathematics educators, teacher educators, researchers, education administrators, curriculum developers and student teachers.

ICMI Mathematics Modelling NISS evaluation mathematics education statistics

- DOI https://doi.org/10.1007/978-0-387-29822-1
- Copyright Information Springer Science+Business Media, LLC 2007
- Publisher Name Springer, Boston, MA
- eBook Packages Humanities, Social Sciences and Law
- Print ISBN 978-0-387-29820-7
- Online ISBN 978-0-387-29822-1
- Series Print ISSN 1387-6872
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