M.A. in Mathematics Education
Science, Technology, Engineering, Arts and Math Education
College of Education
Mathematics--Study and teaching (Secondary)
Science and Mathematics Education
The purpose of this study is to create a mini-course in mathematics appreciation at the senior high school level.
The mathematics appreciation course would be offered as an elective to students in the 11th or 12th grade, who are concurrently enrolled in trigonometry or calculus.
The topics covered in the mathematics appreciation course include: systems of numeration, congruences, Diophantine equations, Fibonacci sequences, the golden section, imaginary numbers, the exponential function, pi, perfect numbers, numbers with shape, ciphers, magic squares, and root extraction techniques.
In this study, the student is exposed to mathematical proofs, where appropriate, and is encouraged to create practice problems for other members of the class to solve. Also, areas for research are suggested so that the student may explore, even more deeply, areas which hold a particular interest for that student.
These topics are treated with a three-pronged approach – historical, recreational, and practical. It is the author's contention, supported by research, that this approach, along with the choice of topics, will assist in developing and enhancing the mathematics potential of the student to the highest possible extent.
Kraft, Daniel J., "A course in mathematics appreciation" (1995). Theses and Dissertations. 2256.