ERIC Number: ED599924
Record Type: Non-Journal
Publication Date: 2014
Pages: 8
Abstractor: As Provided
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Functions of Open Flow-Chart Proving in Introductory Lessons of Formal Proving
Miyazaki, Mikio; Fujita, Taro; Jones, Keith
North American Chapter of the International Group for the Psychology of Mathematics Education, Paper presented at the Joint Meeting of the International Group for the Psychology of Mathematics Education (PME) (38th) and the North American Chapter of the Psychology of Mathematics Education (PME-NA) (36th, Vancouver, Canada, Jul 15-20, 2014)
Amongst important and under-researched questions are how introductory lessons can be designed for teaching initial proofs to junior high school students, and how such lessons enrich students' understanding of proofs. With a view to improving the learning situation in the classroom, in this paper we report on the various functions of introductory flow-chart proofs that use 'open problems' that have multiple possible solutions. Through an analysis of a teaching experiment in Grade 8, and by using a model of levels of understanding of proof structure, we identify the functions as enhancing the transition towards a relational understanding of the structure of formal proof, and encouraging forms of forward/backward thinking interactively that accompany such a relational understanding of the structure of proofs in mathematics. [For the complete proceedings, see ED597799.]
Descriptors: Flow Charts, Mathematical Logic, Validity, Introductory Courses, Mathematics Instruction, Junior High School Students, Problem Solving, Grade 8, Geometry, Foreign Countries, Visualization
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: Junior High Schools; Middle Schools; Secondary Education; Elementary Education; Grade 8
Audience: N/A
Language: English
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Identifiers - Location: Japan
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