This book takes stock of the state of affairs of the teaching and learning of mathematical modelling with regard to research, development and practice. It provides a conceptual framework for mathematical modelling in mathematics education at all education levels, as well as the background and resources for teachers to acquire the knowledge and competencies that will allow them to successfully include modelling in their teaching, with an emphasis on the secondary school level. Equally, mathematics teacher educators, mathematics education researchers and developers will benefit from this book.
Expertly written and researched, it includes a comprehensive overview of research results in the field, an exposition of the educational goals associated with modelling, the essential components of modelling competency as well as an extensive discussion of didacticopedagogical challenges in modelling. Moreover, it offers a wide variety of illuminating cases and bestpractice examples in addition to insights into the focal points for future research and practice.
The Learning and Teaching of Mathematical Modelling is an invaluable resource for teacher educators, researchers, text book authors, secondary school mathematics teachers, undergraduate and graduate students of mathematics as well as student teachers.
Chapter I. Introduction Chapter II. Conceptual and theoretical framework – models and modelling: what and why? Chapter III. Modelling examples Chapter IV. Modelling competency and modelling competencies Chapter V. Challenges for the implementation of mathematical modelling Chapter VI. What do we know from empirical research – selected findings on the teaching and learning of mathematical modelling Chapter VII. Cases of mathematical modelling from educational practices Chapter VIII. Focal points for the future