Faculty Information on Applied Quantitative Reasoning Requirement & Placement Diagnostic
As part of the General Education curriculum, which took effect with the entering class of 2020, all students are required to complete an Applied Quantitative Reasoning (AQR) course by the end of their third year in order to graduate. In AQR courses, students develop and use quantitative skills in an applied setting to consider, model, and solve discipline-specific or interdisciplinary real-world problems and interpret and communicate the results of their inquiries. While taking one AQR course is the sole graduation requirement, students may need to complete as many as two prior courses to enroll in an AQR course. Some students will need to successfully complete both MA 100: Quantitative Reasoning and a Fundamental Quantitative Reasoning (FQR) course. Other students will need to take only an FQR course in order to satisfy the prerequisite to enroll in an AQR course. Finally, other students will place directly into the AQR level either via standardized test scores or via their performance on an online QR Placement Diagnostic.
Please note, students may only take the QR Placement Diagnostic once.
If you have questions, please see the Frequently Asked Questions below. If you have additional questions, please contact the QR Director, Smriti Tiwari.
Students can meet the prerequisite to enroll in an AQR course in one of four ways (Figure 1):
- Achieving a score of at least 650 on the MSAT I examination, a score of at least 570 on any Mathematics SAT II subject examination, or a score of at least 28 on the Mathematics ACT examination to directly place into an AQR course. ACT or SAT scores must be submitted to the College.
- Taking the online QR Placement Diagnostic and earning a score on the diagnostic that places them directly into an AQR course. Incoming students who do not submit ACT or SAT scores or whose scores do not place them into an AQR course must take the online QR Placement Diagnostic.
- Taking the online QR Placement Diagnostic and earning a score on the diagnostic that places them directly into an FQR course. Students who place into an FQR course must successfully complete it by the end of their second year. These courses, which are offered by a variety of departments, emphasize the application of mathematical calculations and concepts to daily life.
- Taking the online QR Placement Diagnostic and earning a score on the diagnostic that places into MA 100 (Quantitative Reasoning). This course, which emphasizes basic quantitative reasoning skills in mathematics and statistics, is required for all students who do not place into an AQR or FQR course and must be successfully completed by the end of their first year. Students must then successfully complete an FQR course by the end of their second year. Students who place into MA 100 will be given only one opportunity during Orientation to take an in-person test to revise their placement to FQR (students in the London FYE should speak with the QR Director to make alternative arrangements).
Prerequisites for QR courses*
Faculty FAQ
All students must complete one AQR course. No students are exempt from this requirement.
However, similar to the Writing Requirement, students may be required to take up to
two prerequisite courses, including MA 100 and a Fundamental Quantitative Reasoning (FQR) course. Students can enroll in an
AQR course via a) standardized test scores, b) performance on an online QR Placement Diagnostic completed prior to summer registration, or c) completing prerequisite courses. See
Figure 1. Students who place into MA 100 must successfully complete this course by the end of their first year. Students
who place into FQR successfully complete an FQR course by the end of their second
year. All students must complete the AQR requirement by the end of their third year.
In contrast to the expired QR1 exam of the prior curriculum, students many only take
the QR Placement Diagnostic once.
Students placed at the MA 100 level will be provided one opportunity to revise their
placement to FQR during Orientation by taking a separate in-person QR test. Students
who placed into MA 100 will be contacted by the QR Director regarding the possibility.
No. The AQR requirement is not a math requirement. Applied quantitative reasoning leverages
mathematical skills, reasoning, and knowledge to understand our world and to inform
our lives and choices. Accordingly, the emphasis in AQR courses is on using foundational
mathematical understanding to characterize, comprehend, and model real world empirical
data to examine the behavior of populations or systems, with all the complexity and
nuance that entails; to interpret and communicate quantitative results and data; and
to use quantitative reasoning to make informed decisions.
As such, AQR courses are offered from a variety of disciplines including Biology, Chemistry, Economics,
Environmental Science, Geosciences, Political Science, Psychology, Physics, Sociology,
Social Work, and Statistics.
- Use statistical and/or mathematical models to characterize empirical data;
- Understand, model, and predict the behavior of populations or systems;
- Interpret and communicate results orally and/or in writing; and
- Use quantitative reasoning for informed decision-making.
- Perform mathematical calculations involving estimation, basic formulas, units, percentages, fractions, statistics, probability, and geometry;
- Formulate and apply basic algebra skills;
- Understand, interpret, and apply mathematical concepts and calculations in his/her/their daily life;
- Effectively communicate and discuss mathematical concepts and results both orally and in writing; and
- Appreciate the power and utility of quantitative reasoning.
Instructors must upload their course proposals in the Curriculog system (accessed via the Registrar’s web page) by September 15 for spring term approval and December 15 for fall term approval. Once inside the system, choose to add the AQR or FQR Proposal Form, as appropriate. In addition to filling out all required fields, you will be asked to upload your syllabus. Please note that your course syllabus must integrate the FQR or AQR learning goals with your own learning goals. Please launch and approve your proposal, which submits your course to the Quantitative Reasoning Director for review before moving to the Curriculum Committee for review. At any stage you may be asked for further inclusions or clarifications. Once a course is certified as an FQR or AQR course, the course will be reviewed by the QR review team within 5 years of approval or at the discretion of the QR Director.
If your course is already approved by Curriculum Committee and you seek FQR or AQR approval (regardless of whether or not your course was previously a QR2 course):Instructors teaching a special topics class or a course already approved by the Curriculum Committee do not need to upload their course proposal through the Curriculog system. Instead instructors need to submit the FQR or AQR Proposal form and their syllabus to the Director of Quantitative Reasoning, Smriti Tiwari, via email. Please note that your course syllabus must integrate the FQR or AQR learning goals with your own learning goals. The deadline for submission this academic year is March 9. You may be asked for further inclusions or clarifications. Once a course is certified as an FQR or AQR course, the course will be reviewed by the QR review team within 5 years of approval or at the discretion of the QR Director.
No. Old QR2 courses do not automatically become AQR courses. One of the reasons for passing the AQR requirement as part of our General Education curriculum was to strengthen the quantitative reasoning abilities of all graduating students. The courses are offered by a range of departments and programs. Faculty interested in submitting a course to be approved as an AQR or an FQR course should visit here.
All advisors will need to be aware of their advisees’ current QR placement and be prepared to suggest appropriate FQR and AQR courses, as necessary. In many departments and programs, an AQR course may also be a required course for the major. In such cases, be aware that some students may need to complete both MA 100 and a FQR course prior to enrolling in the AQR course required for the major.
Incoming students who do not place directly into AQR via standardized testing must
take online the QR Placement Diagnostic prior to discussing courses with their summer advisor. Unlike the old QR 1 test,
students take the Diagnostic online and may only take it once. The purpose of the
Diagnostic is to determine if students are ready for an AQR course or if they need
to further develop their basic quantitative skills before taking an AQR course. Based
on their performance, students may be placed a) into AQR, b) into FQR, or c) into
MA 100. Students should complete the Quantitative Reasoning Placement Diagnostic or
they may not be able to register for quantitative reasoning courses. In contrast to the expired QR1 exam of the prior curriculum, students many only take
the QR Placement Diagnostic once.
Students placed at the MA 100 level will be provided one opportunity to revise their
placement to FQR during Orientation by taking a separate in-person QR test. Students
who placed into MA 100 will be contacted by the QR Director regarding the possibility.
Please have them read over the FAQ on transferring QR courses.
A student may only take the QR Placement Diagnostic once. Students placed into MA 100 will be provided one opportunity during Orientation to take an in-person QR test to revise their placement from MA 100 to FQR. Students in London should make alternative arrangements with the QR Director.
The QR Placement Diagnostic has a number of built-in accessibility features. The QR Placement Diagnostic is untimed. In addition, students may use a calculator on the QR Placement Diagnostic as well as scratch paper and a pencil, or equivalent, to work problems. In the Placement Diagnostic, if a student clicks on a mathematical formula or expression, an enlarged view of the formula or expression will pop out. If a student needs to enlarge the text overall, please have the student use the zoom features in the browser the student is using. The Placement Diagnostic should also be compatible with a screen reader. If a student needs additional accommodations, please have them contact the Coordinator of Student Access Services, Meg Hegener (mhegener@shorinji-kempo.net), who will coordinate with the Quantitative Reasoning Director, Dr. Smriti Tiwari.
The student will get an email with their QR placement within five business days of taking the diagnostic. Typically, it will be within hours of taking the diagnostic. Advisors will be able to see the placement in the Advisor Portal.
It may take up to a day after the placement to be in the registration system.
Direct your advisee to the student AQR FAQ. If there is a technical issue, suggest that they contact the SKIDMORE IT HELPDESK via e-mail helpdesk@shorinji-kempo.net or via phone at 1-518-580-5900. The Skidmore IT HELDESK is open 8:30 am to 6 pm Eastern Monday through Friday. For other issues, e-mail the Quantitative Reasoning Director, Dr. Smriti Tiwari.
To develop an FQR or AQR course, e-mail the Quantitative Reasoning Director, Dr. Smriti Tiwari with any questions you have. The QR Review Team is looking for ways to partner with
the CLTL on professional development opportunities. If you have ideas or suggestions,
please contact the QR Director.
In addition, the Science Education Resource Center at Carleton has a number of helpful resources on the principles of teaching QR, designing assignments, assessing QR, QR across the curriculum, and QR/Math with other helpful resources.
Students who matriculated prior to the Fall of 2020 are under the old All College requirements and thus QR1 and QR2. Please go to the prior QR website for additional details.