Quantway

Quantway is a set of quantitative reasoning course options designed to promote success in mathematics and to develop quantitatively literate students.

All Quantway courses are taught using a unique pedagogical approach that promotes collaborative learning and addresses social-emotional factors that affect student success. They also employ innovative curricula supported by aligned assessments and an online student platform. The curriculum provides students with a firm conceptual mathematical understanding in order to master developmental or college-level goals and use quantitative tools intelligently in their daily lives. (These courses are aligned with AMATYC’s stance on the preparation of non-calculus-track students.)

Quantway includes a set of 1-2 term offerings that are designed to meet a range of developmental and college-level student needs. See below for full course descriptions.

The Quantway Pathway consists of Quantway Core followed by Quantway College.

Goal: College-Level Credit

The goal of the Quantway Pathway is for students placed in developmental math to complete their developmental math requirements and a college-level quantitative reasoning course in only two terms.

Learning Outcomes

The learning outcomes of Quantway Core are grounded in quantitative literacy, numeracy skills, proportional reasoning, algebraic reasoning, mathematical modeling, and statistical thinking. These skills and areas of reasoning are promoted, integrated, revisited, and explicitly connected throughout four modules (total of 35 lessons).

Quantway College covers all major topics typically contained in a college-level quantitative reasoning course. This course has three targeted modules (total of 26 lessons) that dive deeper into the content with greater sophistication than in Quantway Core, such as changing parameters in complex models and inferential statistics. The modules are:

  1. Numeracy, which includes topics such as percentages, ratios, estimation, magnitude, interest and loans, rates, probability, proportional reasoning, relative growth, and conditional probability.
  2. Modeling, which includes topics such as variables, equations, graphs, tables, linear models, piecewise models, exponential models, log operations, and multivariate models.
  3. Statistics, which includes topics such as data visualization and interpretation, statistical analysis process, experimental designs and conclusions, parameters, interval estimates, distributions, statistical inference including Z-scores and P-values.

Materials

The materials for the Quantway Pathway include a Quantway Core textbook, a Quantway College textbook, and an online homework platform that includes lesson homework and module assessments for both courses.

Implementation

This offering is designed as two courses in sequence, typically 3-4 contact hours for Quantway Core and 3 transfer-level credits for Quantway College.

Note

A Contextualized version of Quantway Core is available. The Contextualized version includes 12 specialized lessons designed to meet the needs of specific workforce programs: Applied Health Care, Environmental Technologies, and Information Technology.

Goal: Replaces Developmental Math Sequence

The goal of the Quantway Core (stand-alone) offering is to provide a one-term quantitative reasoning course that fulfills students’ developmental mathematics requirements by integrating algebraic and quantitative skills and reasoning.

Learning Outcomes

The learning outcomes are grounded in quantitative literacy, numeracy skills, proportional reasoning, algebraic reasoning, mathematical modeling, and statistical thinking. These skills and areas of reasoning are promoted, integrated, revisited, and explicitly connected throughout four modules (total of 35 lessons).

Materials

This offering uses a Quantway Core textbook and an online homework platform that includes lesson homework and module assessments.

Implementation

This offering is designed as a 3-credit course, but can be taught as a 4-credit course.

Notes

A Contextualized version of Quantway Core is available. The contextualized version includes 12 specialized lessons designed to meet the needs of specific workforce programs: Applied Health Care, Environmental Technologies, and Information Technology.

Goal: College-Level Credit

The goal of the Quantway College (stand-alone) offering is to provide a one-term, college-level quantitative reasoning course.

Learning Outcomes

The course covers all major topics typically contained in a college-level quantitative reasoning course. It consists of three modules (total of 26 lessons):

  1. Numeracy, which includes topics such as percentages, ratios, estimation, magnitude, interest and loans, rates, probability, proportional reasoning, relative growth, and conditional probability.
  2. Modeling, which includes topics such as variables, equations, graphs, tables, linear models, piecewise models, exponential models, log operations, and multivariate models.
  3. Statistics, which includes topics such as data visualization and interpretation, statistical analysis process, experimental designs and conclusions, parameters, interval estimates, distributions, statistical inference including Z-scores and P-values.

Materials

This offering uses a Quantway College textbook and an online homework platform.

Implementation

This offering is designed as a 3-credit course, but can be taught as a 4-credit course.

Goal: College-Level Credit and supports

The goal of the Quantway College with Corequisite offering is to provide a one-term, college-level quantitative reasoning course for all students, with targeted supports built using the Carnegie Math Pathways design principles to provide effective scaffolding for students who need additional support. This offering consists of Quantway College, which is a one-term, college-level quantitative reasoning course, and a corresponding corequisite component. The corequisite component develops students’ quantitative reasoning and algebraic thinking and reasoning skills. This offering addresses all the learning outcomes of Quantway Core and Quantway College, and employs Quantway pedagogical strategies, including Productive Persistence, in both components.

Learning Outcomes

The course covers all major topics typically contained in a college-level quantitative reasoning course. It consists of three modules:

  1. Numeracy, which includes topics such as percentages, ratios, estimation, magnitude, interest and loans, rates, probability, proportional reasoning, relative growth, and conditional probability.
  2. Modeling, which includes topics such as variables, equations, graphs, tables, linear models, piecewise models, exponential models, log operations, and multivariate models.
  3. Statistics, which includes topics such as data visualization and interpretation, statistical analysis process, experimental designs and conclusions, parameters, interval estimates, distributions, statistical inference including Z-scores and P-values.

The corequisite materials address learning outcomes and skills typically seen in a developmental math sequence, such as algebraic reasoning and thinking.

Materials

This offering employs the Quantway College workbook and online homework platform in the college-level component. Additionally, there is a Quantway Corequisite workbook and corresponding online homework platform, which both include material for Quantway College. Faculty can choose to teach some or all of the corequisite lessons, depending on the needs of their student population or program. The corequisite resources address topics in quantitative reasoning and algebraic reasoning and thinking that relate to the ensuing or prior lesson. These materials also include preparatory lesson materials and review/practice problems.

Implementation

The college-level component is designed as a 3 or 4 transfer-level credit course. The corequisite materials are designed to flexibly support a 1, 2, or 3 contact hour corequisite course depending on what is appropriate for student and program needs.

Goal: Preparation for Quantway

The goal of Fundamentals is to bolster students’ proficiency in the prerequisite mathematical skills and understanding, such as basic arithmetic, needed for success in Quantway Core.

Learning Outcomes

The learning outcomes cover fundamental mathematics and pre-algebra, which students need to succeed in the Pathways, including all major topics from arithmetic, algebra, and numeracy.

Materials

This offering consists of an online pool of lessons and practice problems from which faculty can construct their own course (stand-alone or corequisite), depending on their desired learning objectives and student needs.

Implementation

This offering is designed to be flexible. For example, it could be administered as:

  1. a stand-alone, prerequisite course to Quantway Core, with 1-3 contact hours, or
  2. a corequisite taught in conjunction with Quantway Core, with 1-3 contact hours.

Goal: Transition to College Algebra

The Pathways Bridge Materials are a set of lessons that colleges can use to provide Quantway or Statway students with a bridge to college algebra, business math, or pre-calculus courses. These materials have been collaboratively designed by network faculty using the instructional design principles of the Pathways curricula.

Learning Outcomes

We have created 8 lessons around the following topics:

  • Linear equations and inequalities, including systems
  • Functions
  • Exponent rules
  • Polynomials expressions, including quadratic equations and factoring
  • Rational expressions

Materials

The 8 lessons are available online to be printed for students.

(CC BY-NC-SA)

Implementation

These lessons are designed to be implemented in any way that they are needed. For example, they can be administered at the end of a Pathway or integrated within a Pathway.

What One Student Says About Quantway

"Quantway has made me look at math in a different way. I appreciate it more and I understand it more. It'll help you with your everyday life."

Terrence Banks,
Former Quantway student at Cuyahoga Community College

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FAQs

The Carnegie Math Pathways courses were created and continue to be improved upon by faculty for faculty and use research-proven pedagogy to engage students in rich learning experiences. They are taught using a unique approach that promotes active, collaborative learning around real-life situations and incorporates embedded social-emotional supports that positively affect student success.

Quantway is a great math option for students in non-STEM fields who benefit from quantitative reasoning for their other courses and for their career path. The Quantway Pathway or Quantway College with Corequisite courses provide developmental math supports throughout the curriculum and are recommended for students that place 2-3 levels below college-level math.

Quantway was designed as a quantitative reasoning pathway for students in non-STEM majors. Should students in this pathway need or desire to take pre-calculus courses, we have designed a set of open source Bridge materials that provide students with the algebraic reasoning skills they need to transition into college-level algebra and/or transfer to a STEM field. These, along with our full sample curriculum materials, are available on our Explorer portal, which you can sign up for here.

Additionally, a great new option for students interested in a STEM field is our College Algebra with Corequisite course.  Designed with the same emphasis on collaborative learning and real-world contexts as our Statway and Quantway courses, this course combines a one-term, college-level algebra course with a corresponding corequisite component aimed at developing students’ algebraic reasoning skills in support of the college-level learning outcomes. The materials are currently available for those who wish to pilot this course. For more information, contact us at info@carnegiemathpathways.org.

Yes. The Carnegie Math Pathways program offers a unique approach to learning mathematics and engages math faculty in new ways of teaching. To help them successfully launch their courses, we require faculty to participate in one of our multiple training opportunities so they become familiar with our distinct pedagogy, platform, and faculty resources.

To support faculty and their busy schedules, we offer a wide variety of training ranging from individual, self-paced courses to in-person trainings led by experienced Carnegie Math Pathways Faculty Mentors. Our newest offering is a self-paced online faculty certification course designed to give faculty the information and support they need to prepare to teach our new fully online courses this fall. More information about our faculty certification is available on our Explorer portal. Click on the Get Started button to start exploring further.