The primary purpose of Mathematics I is to develop in a logical, patterned approach, the elements, properties and operations of the number systems taught in elementary/middle school (grades K-9). The essentials of problem solving and the logic of mathematics are introduced, followed by a development of number concept. Relations, operations and fundamental properties of various number systems are examined. These number systems are the counting numbers and whole numbers. Attention is paid to applications of these systems as practiced today in the elementary/middle school curriculum including the use of appropriate manipulatives and computer software. In addition, some historical applications and informal geometrical relationships are explored. Many instances of the concepts are cited as an elementary/middle school teacher would encounter them.

Mathematics I is taught in a lecture-discussion and/or small group setting with many applications and problems being the focus of the discussion. The problems in the textbook will be the main source of assignments the students will be expected to complete outside of class. Some assignments including library and internet research, laboratory "hands on" projects and individual writing may be made. These assignments should promote a better understanding of the elementary/middle school curriculum.