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Design of learning environments that foster the growth and development of model-based reasoning about mathematics and science , design and development of case-based hypermedia tools for teachers . Students ' understanding of operations serves as a foundation for reasoning about mathematics . It provides an overview of what we know about mathematics , science , and technology education ; identifies exemplars of good practice ; and identifies obstacles to goal achievement . A significant positive correlation was found to exist between Praxis I Math Test scores and feelings about mathematics using a two-tailed test indicating that prospective elementary math teachers who have higher Praxis I math test scores tend to report having more positive feelings about mathematics . This led , one year later , to a paper published by Hilbert that listed three unanswered questions about mathematics that he and von Neumann had determined to be the most important questions facing logicians and mathematics of the modern era .