How and what to teach on an elementary number theory course.

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SUMMARY

The discussion focuses on the need for updated teaching methodologies in elementary number theory, drawing parallels with past reforms in calculus and linear algebra. Participants highlight the absence of a structured curriculum similar to the linear algebra curriculum study group from the early 90s. Key resources mentioned include the book "Learning and Teaching Number Theory: Research in Cognition and Instruction" by Stephen R. Campbell and Rina Zazkis, and a PDF resource from the Math Teachers' Circle. The conversation emphasizes the importance of identifying critical topics and effective teaching strategies in number theory.

PREREQUISITES
  • Understanding of elementary number theory concepts
  • Familiarity with curriculum development in mathematics education
  • Knowledge of teaching methodologies in mathematics
  • Awareness of historical reforms in calculus and linear algebra
NEXT STEPS
  • Research effective teaching strategies for elementary number theory
  • Explore the book "Learning and Teaching Number Theory: Research in Cognition and Instruction"
  • Review the resources available at the Math Teachers' Circle website
  • Investigate historical curriculum reforms in mathematics education
USEFUL FOR

Mathematics educators, curriculum developers, and researchers interested in enhancing the teaching of elementary number theory.

matqkks
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In the late 80’s and early 90’s there was the idea of ‘calculus reform’ and some emphasis and syllabus changed. The order of doing things also changed in calculus with the advantage of technology.
Similarly in linear algebra there was a linear algebra curriculum study group which produced some really good ways of teaching linear algebra and also highlighted curriculum changes. This was produced in the January 1993 College Mathematics Journal.
Has any similar work been covered in number theory. I am looking for what are the important topics to cover and any work or research on the teaching of number theory.
 
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matqkks said:
In the late 80’s and early 90’s there was the idea of ‘calculus reform’ and some emphasis and syllabus changed. The order of doing things also changed in calculus with the advantage of technology.
Similarly in linear algebra there was a linear algebra curriculum study group which produced some really good ways of teaching linear algebra and also highlighted curriculum changes. This was produced in the January 1993 College Mathematics Journal.
Has any similar work been covered in number theory. I am looking for what are the important topics to cover and any work or research on the teaching of number theory.

Hi matqkks, :)

You might be interested in the following.

1) Learning and Teaching Number Theory: Research in Cognition and Instruction (Mathematics, Learning, and Cognition): Stephen R. Campbell, Rina Zazkis: 9781567506532: Amazon.com: Books

2) http://www.mathteacherscircle.org/resources/materials/numbertheory.pdf
 

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