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01:640:107 - Number and Operation for K-8 Teaching

General Information

This course is intended for future teachers, but not necessarily those who will specialize in teaching mathematics.  Although intended primarily for those who will teach at the K-8 level, it is valuable as a foundation for K-12 teaching as well.

Math 107 will probably seem like quite a change of pace from your typical math course. It reexamines many of the mathematical ideas with which you are already familiar, placing them in the context of the subject as a whole but in addition viewing them from the perspective of young students first learning them. The emphasis will be on reasoning and communication, and you will do much more written explanation than in a typical math course. Much of the time in class will be spent on interactive work, rather than classical lectures.

This course is taught during both fall and spring semesters.

Admission to the course is by permission of the department. This does not use our online system, but is handled separately by Professor Beals.


"Mathematics for Elementary Teachers" by Sybilla Beckmann, Fourth Edition, Pearson Addison Wesley;
(ISBN: 0-321-82572-1; ISBN13: 9780321825728)


Topics to be covered:

Whole number operations

  1. Place value
  2. Algorithms (standard and invented)
  3. Arithmetic in other bases
  4. Remainders (different things they can mean)
  5. Signed numbers

Ratio and proportion, Measurement
examples to be used in earlier topics; this unit will be used to tie together those ideas

  1. Units (choice of units)    
  2. Approximation and accuracy    
  3. Estimation


  1. Variables
  2. Equations

Some examples from discrete mathematics, probability & statistics and geometry will be used throughout as a way to use these ideas while exploring the other topics.


Previous semesters:

  • Fall 2007, 2008. Professor Beals.
  • Fall 2006, Professor Beals.
  • Listed first as 103 T1 and then as 107, taught by Professor Beals.

Current Semester

For more information on instructors and sections for this course, please see our Teaching Schedule Page

Disclaimer: Posted for informational purposes only

This material is posted by the faculty of the Mathematics Department at Rutgers New Brunswick for informational purposes. While we try to maintain it, information may not be current or may not apply to individual sections. The authority for content, textbook, syllabus, and grading policy lies with the current instructor.

Information posted prior to the beginning of the semester is frequently tentative, or based on previous semesters. Textbooks should not be purchased until confirmed with the instructor. For generally reliable textbook information—with the exception of sections with an alphabetic code like H1 or T1, and topics courses (197,395,495)—see the textbook list.

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530