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Extents the notion of experimental mathematics to include pre-college curriculum
Introduces a pedagogy of computer experimentation with mathematical models depending on parameters
Provides teacher candidates with research-like experience in mathematics and its pedagogy
Presents modeling activities in both technology-enabled and technology-immune approach
Presents original examples of experimental mathematics pedagogy
This book promotes the experimental mathematics approach in the context of secondary mathematics curriculum by exploring mathematical models depending on parameters that were typically considered advanced in the pre-digital education era. This approach, by drawing on the power of computers to perform numerical computations and graphical constructions, stimulates formal learning of mathematics through making sense of a computational experiment. It allows one (in the spirit of Freudenthal) to bridge serious mathematical content and contemporary teaching practice. In other words, the notion of teaching experiment can be extended to include a true mathematical experiment. When used appropriately, the approach creates conditions for collateral learning (in the spirit of Dewey) to occur including the development of skills important for engineering applications of mathematics. In the context of a mathematics teacher education program, this book addresses a call for the preparation of teachers capable of utilizing modern technology tools for the modeling-based teaching of mathematics with a focus on methods conducive to the improvement of the whole STEM education at the secondary level. By the same token, using the book’s pedagogy and its mathematical content in a pre-college classroom can assist teachers in introducing students to the ideas that develop the foundation of engineering profession.
Content Level »Research
Keywords »collateral learning - engineering applications of mathematics - mathematical modelling - mathemics learning through computational experiment - pedagogical approaches to use of digital tools - teacher preparation for use of modern technology in education