Computational Experiment Approach to Advanced Secondary Mathematics Curriculum

• Main Author: Abramovich, Sergei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2014.
• Series: Mathematics Education in the Digital Era, 3
• Subjects: Education.; Education > Data processing.; Computer mathematics.; Computer software.; Mathematics > Study and teaching.; Mathematics Education.; Computational Mathematics and Numerical Analysis.; Computers and Education.; Mathematical Software.; Learning & Instruction.

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 perfor...

Table of Contents:

• Preface
• 1. Theoretical foundations of computational experiment approach to secondary mathematics
• 2. One-variable equations and inequalities: the unity of computational experiment and formal demonstration
• 3. Computationally supported study of quadratic functions depending on parameters
• 4. Computational experiment approach to equations with parameters
• 5. Inequalities with parameters as generators of new meanings
• 6. Computational experiments in trigonometry
• 7. Advancing stem education through temp: Geometric probabilities
• 8. Exploring topics in elementary number theory through a computational experiment
• References.              .