Geometry in grades 1-8 (online)

Professor Hlas
hlascs (@)
Drop-in times

What is the difference between a diamater and a radius?
(A radius.)

Course Information

This course focuses on mathematical knowledge for teachers using active learning. Course learning outcomes include conceptual understanding, procedural fluency, strategic competence, adaptive reasoning and productive disposition of the following topics:

This class will be taught using an online format in Spring 2020.

This course helps students meet the following Liberal Education Learning Outcome(s):

More course information is posted on Canvas.




  1. Beckmann, S. (2014). Mathematics for Elementary Teachers with Activities, 4th edition (rental text)
    I recommend printing Class Activities from Canvas so you do not need to bring the book to class.
  2. Calculators are allowed, but are not required. Devices with wireless capabilities (e.g., cell phones) are not allowed on assessments.
  3. Recommended review: Algebra rules
  4. Connected Geometry

Research background


It is important to accurately show your mathematical thinking and to communicate clearly. On every assignment, the preservice teacher starts at zero then earns "math points" (MP) for demonstration of mathematical thinking in their solutions. If any concerns arise regarding grading, contact the instructor outside of class in a timely manner.

Extra practice

Recommended practice exercises from the book and other resources are listed in the calendar. These exercises are not graded but are recommended as these problems will likely appear on assessments.

"Daily" quizzes (0 MP)

Most days there will be a short quiz (~10 minutes) for feedback. These formative quizzes will be scored independently and not graded.

Notes are not allowed on quizzes. Approved calculators and manipulatives are allowed.

Midterm (25 MP) and Final exam (25 MP, +MP bonus)

"To assess conceptual knowledge, researchers often use novel tasks … Because children do not already know a procedure for solving the task, they must rely on their knowledge of relevant concepts to generate methods for solving the problems." (Rittle-Johnson, Seigler, Alibali, 2001, p. 347). A such, assessments are a part of the learning experience and will not only require mastery of class material, but will also require the ability to apply class material to new situations.

For each exam, one page of notes (one-sided, handwritten) is allowed. Approved calculators and class manipulatives are also allowed.

If a student's grade based on the in-person final exam is higher than the grade based on class points,

Online practice (+2.5 MP bonus)

WeBWorK problem sets are used to apply skills from class. Feedback is limited to correct/incorrect so if problems are difficult please see the instructor for better feedback.

Each student earns bonus points based on their percent of correct answers. For example, a student that completes 70% of the problems would receive 70% of 2.5, or 1.75 bonus points.

Bonus for (+? MP)

Readings, quizzes, and homework may be assigned beyond those previously indicated, but final grades will still be computed based on the scale given.

Fine print

Email is the best way to reach me. I typically respond within 24 hours, but do not check email in the evenings or on Saturdays due to family commitments.

Attendance A record of attendance is required by the University to maintain accurate class rosters. Attendance is not graded but poor attendance may impact participation in group activities.

Absences If you are absent, please check the course schedule then meet with me (drop-in hours, Zoom, or email) so I can make sure you are caught up. Authorized absences (school functions, emergencies or illness) may be made up for full credit. Other absences may be completed early for full credit, or late for 90% credit. Late work is expected to be completed within two weeks of the original due date or by the last day of classes, whichever occurs first.

Entry-level switching The Department of Mathematics allows students within entry-level mathematics courses (i.e., 010, 020, 104, 109, 112, 114, or 246) to move up to a higher numbered course during the first two weeks of a semester or move down during the first three weeks. Please contact the instructor for more details.


Student Accommodations Any student who has a disability and is in need of classroom accommodations should contact the instructor and the Services for Students with Disabilities Office in Centennial Hall 2106 at the beginning of the semester.

Academic Integrity Any academic misconduct in this course will be submitted to the Dean of Students.

Mandatory Reporter As a Wisconsin State employee, the instructor is obligated to report any crimes to the Dean of Students, including claims of sexual harassment or sexual assault. The Dean of Students office may reach out to you to offer resources and support.

Community As members of this class we are members of a learning community that values all people with all backgrounds. Please remember that our words and actions affect everyone within our community and remember a little positivity can go a long way.