
06362073
j
2015a.00566
Stupel, Moshe
BenChaim, David
Plane geometry and trigonometry  related fields: do they work hand in hand?
Far East J. Math. Educ. 11, No. 1, 4374 (2013).
2013
Pushpa Publishing House, Allahabad, Uttar Pradesh, India
EN
G40
G60
D39
problemsolving
multiple solutions and proofs
pedagogical methods
teacher education
geometry
trigonometry
http://www.pphmj.com/abstract/7861.htm
Summary: The purpose of this article is to illustrate the close relationship between plane geometry and trigonometry  two related, tangent fields in mathematics  using multiple solution methods for challenging problems that are usually solved using Euclidian geometry. Each problem is solved or proved by several geometric and trigonometric methods. Mathematics educators agree that linking mathematical ideas by using multiple approaches for solving problems (or proving statements) is essential for the development of mathematical reasoning, understanding and creativity. Providing teachers with support for the implementation of different problemsolving approaches is critical if classroom practices are to change. For this reason, the authors believe that providing mathematics teachers with a readymade arsenal of specific tasks with a variety of solutions from different mathematical areas is essential. Following the review of the professional literature, and after conducting a case study that involved a course on this topic as part of a preservice mathematics teacher education program (including student feedback via questionnaire and interviews), it was concluded that mathematics educators should be encouraged to introduce many authentic multipleproof problems into their teaching program. In addition, the effect of such exercises on students' mathematical understanding and performance should be further studied.