This truly philosophical book takes us back to fundamentals-the sheer experience of proof,
and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as' …

The relationship between physics and mathematics is reviewed upgrading the common in
physics classes' perspective of mathematics as a toolkit for physics. The nature of the …

Modellus: Learning Physics with Mathematical Modelling Page 1 1 Modellus: Learning Physics
with Mathematical Modelling Faculdade de Ciências e Tecnologia Universidade Nova de …

Could all or part of our taken-as-established scientific conclusions, theories, experimental
data, ontological commitments, and so forth have been significantly different? Science as It …

Modeling Instruction (MI) for University Physics is a curricular and pedagogical approach to
active learning in introductory physics. A basic tenet of science is that it is a model-driven …

The energy thread is a logical outgrowth of the modeling theory of physics instruction; it
exemplifies a conceptually and pedagogically coherent theme designed to enhance …

Mathematical theorems are cultural artifacts and may be interpreted much as works of art,
literature, and tool-and-craft are interpreted. The Fundamental Theorem of the Calculus, the …

Many students of Timothy Smiley have been interested in the philosophy of mathematics.
We have seldom paused to ask what counts as mathematics. Certainly we have thought a …

Physics describes real-life phenomena with the aid of models; mathematical modelling is a
prime goal of physicists. All models, even abstract mathematical models, are embedded in …

I am grateful to Katherina Kinzel and Ian J. Kidd for their useful comments about the contents
and structure of this introduction. Many thanks also to Andrew Pickering and Peter Kaiser for …