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Irrational Beliefs about Numbers.
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Watson, Jane M.; Chick, Helen L. – Australian Senior Mathematics Journal, 1997
Primary teachers should understand the nature of the real-number system and the relationships among its subsets. Presents results of a study in which preservice primary teachers (n=58) and first- and second-year mathematics students (n=47) completed a survey on the real-number system. Concludes that the second-year students were the best…
Descriptors: Elementary Secondary Education, Higher Education, Knowledge Base for Teaching, Mathematics Education
Bringing Insights from Research into the Classroom: The Case of Introductory Number Theory. Discussion: Treating Symptoms?
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Campbell, Stephen R. – 2000
This discussion focuses upon potential implications of research conducted on preservice teachers' understanding of introductory topics from elementary number theory. Comments interlace three levels of consideration and recapitulate what is striking as some of the most interesting and important findings raised in the presentations, and flesh out…
Descriptors: Elementary Education, Higher Education, Knowledge Base for Teaching, Mathematics Education
Educating Teachers to Teach Multiplicative Structures in the Middle Grades.
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Sowder, Judith; Armstrong, Barbara; Lamon, Susan; Simon, Martin; Sowder, Larry; Thompson, Alba – Journal of Mathematics Teacher Education, 1998
Identifies the types of reasoning involved in middle grade mathematics with regard to multiplicative structures and the difficulties students have with the concepts, why these difficulties might occur, and the interconnections within this content area. Offers four recommendations for the preparation and professional development of teachers.…
Descriptors: Abstract Reasoning, Faculty Development, Higher Education, Knowledge Base for Teaching
Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (20th, Raleigh, NC, October 31-November 3, 1998). Volume 2.
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Berenson, Sarah, Ed.; Dawkins, Karen, Ed.; Blanton, Maria, Ed.; Coulombe, Wendy, Ed.; Kolb, John, Ed.; Norwood, Karen, Ed.; Stiff, Lee, Ed. – 1999
This conference proceedings contains three plenary session reports, 12 working group and 79 research reports, 35 short oral reports, 60 poster session reports, and two discussion group reports. Major papers (excluding "short orals" and "posters") include: (1) "Semantical Obstacles in Mathematics Understanding" (Carlos Arteaga and Manuel Santos);…
Descriptors: Algebra, Cultural Influences, Educational Assessment, Educational Psychology
Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (20th, Raleigh, NC, October 31-November 3, 1998). Volume 1.
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Berenson, Sarah, Ed.; Dawkins, Karen, Ed.; Blanton, Maria, Ed.; Coulombe, Wendy, Ed.; Kolb, John, Ed.; Norwood, Karen, Ed.; Stiff, Lee, Ed. – 1999
This conference proceedings contains three plenary session reports, 12 working group and 79 research reports, 35 short oral reports, 60 poster session reports, and two discussion group reports. The titles of all papers (excluding "short orals", "posters", and brief discussion group reports) are: (1) "On Relationships…
Descriptors: Algebra, Calculus, Cultural Influences, Educational Assessment