Transitions in the Conception of Number: From Whole Numbers to Rational Numbers to Algebra

CONTENTS OF CURRICULUM UNIT 23.03.05

  1. Unit Guide
  1. Introduction and Rationale
  2. Demographics
  3. Content Objectives
  4. Unit Content
  5. Teaching Strategies
  6. Progressive problem set
  7. Classroom activities
  8. Resources
  9. Appendix on Implementing District Standards
  10. Bibliography
  11. Notes.

Numerical Development: from whole numbers to fractions

Irina Alekseeva

Published September 2023

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Demographics

I teach at a small magnet-like high school where kids have to apply to be admitted. The total minority enrollment is 54%. A big part of the admission policy is to attract students with different backgrounds. Therefore, the student body is very diverse. We have kids from elite private schools as well as kids from really disadvantaged urban middle schools. As a result, students` skills vary a lot. I have to adjust my teaching style accordingly and approach my students in an individual way. While some of them take the most rigorous AP classes, a lot of them struggle with simple mathematical concepts. My goal, as a teacher, is to address every student`s needs and give all of them an opportunity to succeed.

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