ERIC Number: ED630090
Record Type: Non-Journal
Publication Date: 2021
Pages: 10
Abstractor: As Provided
ISBN: N/A
ISSN: N/A
EISSN: N/A
"What Do You Believe Is True?" A Routine for Proving Theorems in Secondary Geometry
Cirillo, Michelle; Griffin, Casey; Seiwell, Amanda; Hummer, Jenifer
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (43rd, Philadelphia, PA, Oct 14-17, 2021)
We report findings from an investigation of one teacher's instruction as he guided students through the proofs of 21 theorems in a Grade 8 Honors Geometry course. We describe a routine involving four distinct phases, including Setting up the Proof and Concluding the Proof. Results from an end-of-course proof test are also presented to attest to the effectiveness of the teacher's approach. By engaging with descriptions of the theorem-proving routine, one can learn about different strategies that may support students to learn to prove theorems, such as asking students to put forth claims in the form of conjectures or other statements that they believe are true and seeking justifications for these claims as well as sanctioning a theorem once proven. [For the complete proceedings, see ED630060.]
Descriptors: Geometry, Mathematical Logic, Secondary School Students, Mathematics Instruction, Grade 8, Honors Curriculum
North American Chapter of the International Group for the Psychology of Mathematics Education. e-mail: pmena.steeringcommittee@gmail.com; Web site: http://www.pmena.org/
Publication Type: Speeches/Meeting Papers; Reports - Research
Education Level: Secondary Education; Elementary Education; Grade 8; Junior High Schools; Middle Schools
Audience: N/A
Language: English
Sponsor: National Science Foundation (NSF), Division of Research on Learning in Formal and Informal Settings (DRL)
Authoring Institution: N/A
Grant or Contract Numbers: 1453493