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Ways of reasoning and types of proofs that mathematics teachers show in technology-enhanced instruction

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Abstract:

In this report we document and analyze the ways of reasoning and types of proofs employed by high school mathematics teachers to validate conjectures and to justify procedures in order to solve problems, which emerge when they work in a dynamic geometry environment.

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proof (26), mathemat (25), teacher (16), use (13), scheme (12), student (9), studi (9), educ (7), problem (7), school (6), way (6), 2000 (6), sowder (6), harel (6), activ (6), solv (6), type (5), 1998 (5), construct (5), instruct (4), high (4),
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Association:
Name: North American Chapter of the International Group for the Psychology of Mathematics Education
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http://www.pmena.org


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URL: http://www.allacademic.com/meta/p115030_index.html
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MLA Citation:

Reyes-Rodríguez, Aarón. "Ways of reasoning and types of proofs that mathematics teachers show in technology-enhanced instruction" Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, TBA, Mérida, Yucatán, Mexico, Nov 09, 2006 <Not Available>. 2009-05-24 <http://www.allacademic.com/meta/p115030_index.html>

APA Citation:

Reyes-Rodríguez, A. V. , 2006-11-09 "Ways of reasoning and types of proofs that mathematics teachers show in technology-enhanced instruction" Paper presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, TBA, Mérida, Yucatán, Mexico Online <PDF>. 2009-05-24 from http://www.allacademic.com/meta/p115030_index.html

Publication Type: Short Oral Report
Abstract: In this report we document and analyze the ways of reasoning and types of proofs employed by high school mathematics teachers to validate conjectures and to justify procedures in order to solve problems, which emerge when they work in a dynamic geometry environment.

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Document Type: PDF
Page count: 2
Word count: 832
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WAYS OF REASONING AND TYPES OF PROOFS THAT MATHEMATICS TEACHERS SHOW IN TECHNOLOGY-ENHANCED INSTRUCTION Aarón Víctor Reyes Rodríguez Cinvestav rrav76@yahoo.com.mx In this report we document and analyze the ways of reasoning and types of proofs employed by high school mathematics teachers to validate conjectures and to justify procedures in order to solve problems which emerge when they work in a dynamic geometry environment. Proof is a fundamental activity in mathematical practice (Hanna 2000; Weber 2001) also is a key
education: Vol. 7. Research in collegiate mathematics education III (pp. 234-282). Providence RI: American Mathematical Society. National Council of Teachers of Mathematics. (2000). Principles and standards for schools mathematics. Reston VA: Autor. Schoenfeld A. (1985). Mathematical problem solving. Orlando FL: Academic Press. Stylianides A. J. (2005). Prospective teachers’ understanding of proof: What if the truth set of an open sentence is broader than that covered by the proof? Proceedings of the 29th Annual Meeting of the International Group for


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