The Educational Purposes of Geometric Proof in the High School Curriculum

geometry;mathematics;proof types;high school

Fussell, Karen ; Karen Hollebrands, Committee Chair,Hollylynne Stohl Lee, Committee Member,Roger Woodard, Committee Member,Fussell, Karen ; Karen Hollebrands ; Committee Chair ; Hollylynne Stohl Lee ; Committee Member ; Roger Woodard ; Committee Member

University:North Carolina State University

关键词: geometry;    mathematics;    proof types;    high school;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/393/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

The purpose of this literature review is two fold.The first is to examine the types of geometric proof and their purpose within the classroom setting and secondly to examine the factors that influence students' understanding of proofs and their proof construction.The research focuses on three main types of proof 1) Proof for the development of proficiency, 2) proof for understanding, and 3) proof for exploration.In addition to these proof types the research focuses on three components that influence students' development and understanding of proof: 1) the role of technology in students' mastery of proof, 2) the role of curricula and teachers in students' mastery of proof, and 3) the role of the student in their own mastery of proof.Through an investigation into the types of proof and the beliefs and misconceptions of individuals who teacher, learn and write proofs, the author attempts to highlight the reasons for teaching geometric proof and the responsibilities of both teachers and students in the developing understanding in and through geometric proof.