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SSME455 MATHEMATICAL MODELING FOR TEACHERS

Course Objectives

At the end of this course, the students will

• improve their mathematical modeling skills and knowledge about modeling processes.
• develop necessary knowledge, skills, and attitudes to use mathematical modeling in teaching mathematics

Course Content

Models and modeling approach on mathematics problem solving, learning, and teaching; application of mathematics to model real-world problem situations of different branches of mathematics. Training teachers in modeling process: understanding the real-world problem situations, making assumptions, formulating mathematical problem, solving the mathematical problem, interpreting the solution, verifying the model, reporting, explaining, and making predictions based on the model. Implications of modeling in the classrooms, training prospective teachers for teaching and learning mathematics with modeling in the classrooms.

Course Learning Outcomes

Upon successful completion of the course, students should be able to

• explain the nature and characteristics of modeling activities

• distinguish model eliciting activities from other problems

• develop their modeling competencies that include understanding the real-world problem, setting up a model based on the reality, solving mathematical questions within the mathematical model, interpreting mathematical results in a real situation and making decisions about the results whether they need revisions or extensions, and whether they satisfy the conditions and assumptions given in the problem

• apply their mathematical knowledge and skills to solve real-world problems

• develop their reasoning and communication skills using mathematical language, notation, diagrams, and graphs

• use technology in teaching and learning mathematics through modeling

• use modeling activities in mathematics teaching