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

General Information

This course will probably seem like quite a change of pace from your typical math course. We will be reexamining 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. Much of the class will be spent on interactive work, rather than classical lectures.

Homework problems will be assigned each class period, due at the Monday class meeting the following week. Sometimes I will ask you to hand in the problem solutions by email - so be sure you have an active email account. Homework problems count toward your final grade - 100 points out of 300.

There will be an hourly exam in late October, which will count for 50 points out of 300. A written project that will be due in December (with the deadline to be announced well in advance) will also count for 50 points out of 300. A final exam, to be held during the University assigned exam period, will count for 100 points out of 300.

This course is taught during the Fall semester.

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)
Class notes by Professor Beals, available via the Sakai site for the course.


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

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