You should use office hours (for all your classes) as an ongoing resource to address questions or difficulties that were not addressed in class.  Knowing your professor is also a great motivator and a good way to get advice on courses and other education and career related decisions.

Objectives:  Mathematics is an important part of a broad education, is used in all science and many social science fields, and is crucial in thinking logically and critically.  Mathematical literacy includes not only mastering various technical principles but also developing the ability to use the precise language of mathematics to justify assertions.  The resulting skills obtained are beneficial in most careers and in making daily decisions.  Learning these skills can be difficult and frustrating at times.  But solving a problem, constructing a rigorous argument, and expressing solutions clearly are all rewarding processes that contribute to becoming a well educated and well rounded person.

This course focuses on planar Euclidean geometry, including, but also extending beyond, familiar results from the high school geometry curriculum.  This is one of the best areas of mathematics in which to practice precise logical thinking as well as constructing and understanding proofs.  The course will help you further strengthen these abilities.  We will also spend some time discussing the historical roots of the subject in the axiomatic method.

By the end of this course you will:

• Master the fundamental results and understand deeper results of two-dimensional Euclidean geometry related to triangles, parallel lines, quadrilaterals, circles, polygons, area, similarity, and Ceva's Theorem.
• Know the properties of and be able to use the four rigid motions of the Euclidean plane.
  
• Be able to construct logical arguments to prove propositions involving the fundamental ideas and give clear written and verbal presentations of proofs based on those arguments.
• Use Geometer's Sketchpad as a tool to formulate questions and conjectures and to illustrate results.
  
• Be aware of connections between geometry and other areas of mathematics.
  
• Learn the history of Euclidean geometry and the axiomatic perspective.

Materials: The main text is Geometry for College Students, by Isaacs.  We will cover most of chapters 1, 2, 4, and 5 and other selected sections.  We will regularly use the computer software package Geometer's Sketchpad as a tool to illustrate ideas, experiment with examples, develop proofs, and check work, especially when discussing rigid motions, which are not included in the text.  Excerpts from Great Moments in Mathematics Before 1650 by Eves will be used as a supplement when we discuss history and axiomatics.  These will be available from the bookstore later in the semester.

Other supplies you should obtain and usually bring with you: straightedge, compass, colored pencils or pens, floppy disk, and optionally, protractor and circle template.

Prerequisites: The official prerequisites for this course are Math 287 and Math 230 or Math 330, which are intended to ensure that you possess some familiarity with and ability to utilize abstract mathematical concepts and construct proofs.  You will further develop these abilities in this course.  Many of the topics are similar to those you may have seen in a high school geometry course, but presented more rigorously, and other topics will be new.  As stated in the undergraduate catalog, you must earn a C- or better in Math 343 to use it as a prerequisite for 344.

Format and Evaluation
Class time will include a mixture of brief lectures and cooperative group work and will sometimes take place in the computer lab in PS 324.  I expect you to prepare for each class.  You are responsible for material covered in all class sessions regardless of whether you have reason to be absent.

Studying together and discussing problems are encouraged, after you have worked hard on the material and problem yourself, since this can be a very effective and rewarding way to learn mathematics.  But you must write up solutions yourself and give appropriate written credit for ideas obtained from other sources.  Violations of ISU's plagiarism policy will not be tolerated and will be addressed following ISU policy (see the Student Code of Conduct in the Student Handbook, http://www.isu.edu/references/st.handbook/conduct.html#CONDUCT and the section of the Faculty Staff Handbook referenced there, http://www.isu.edu/fs-handbook/part6/6_9/6_9a.html).

Two presentations will be required of each student.  At least one of these must consist of a problem solution, but the other may consist of presenting a result from a section of the book that is not assigned.  The first must be completed before Exam 1 and the second must be completed before Exam 2.

Exams will be closed-book in-class exams.  Each will require you to give some definitions of key terms and some proofs that are comparable (but not necessarily identical) to homework problems or results in the text.  Test problems may require you to apply familiar concepts in new situations.  If an emergency requires you to miss an exam, you should contact me or have someone else contact me before the exam if at all possible and must provide documentation.  The exam dates below are tentative.  The final date is firm, so please mark it down now.

Grades of A, B, C, D will be guaranteed by earning overall percentages of 90%, 80%, 70%, 60%.  Cutoffs for +/- will be determined at the end of the semester, but will be within 3 percentage points of these values.

Philosophy: All of you have the potential to succeed in this course and hard work counts for a great deal.  I continue to learn by expanding my knowledge of mathematics and its connections with other subjects, by doing original research, by understanding more about learning and teaching, and by working to teach in ever more effective ways.  I expect you will deepen your knowledge of mathematics and its logical structure, will learn to formulate questions that lead you to construct your own understanding of mathematics, and will know more about the process of learning, solving problems, and writing proofs after you complete this course.  The most important skill you gain during a college education is the ability to learn independently.

Accommodations: Our program is committed to all students achieving their potential.  If you have a disability or think you have a disability (physical, learning, hearing, vision, or psychiatric) that may need a reasonable accommodation, please contact the ADA Disabilities & Resource Center, Room 123 Graveley Hall, 282-3599 as soon as possible.