Pathways System

The Carnegie Math Pathways engages and supports individual educators and whole institutions to transform the mathematical teaching and learning experience for all students.

Innovative Curricula

Designing courses for the realities of our students’ lives in order to give them the best chance for success.

Carnegie Math Pathways’ Statway and Quantway are new approaches to developmental mathematics that:

Shorten the math sequence and reduce transition points for students placed in remedial math in order to help them achieve college math credit and reach their academic completion goals.
Offer a productively challenging curriculum with authentic contexts relevant to students’ lives and areas of study, and incorporate language and literacy supports to mitigate comprehension as a barrier to the math learning.
Integrate productive persistence student supports into the curriculum.

Statway and Quantway are taught using common curricula, assessments, an online platform, and innovative instructional approaches.

Statway

Statway is focused on statistics, data analysis, and causal reasoning, combining college-level statistics with developmental math. It is designed to teach mathematics skills that are essential for a growing number of occupations and are needed for decision-making under conditions of uncertainty.

Quantway

Quantway is focused on quantitative reasoning that fulfills developmental requirements with the aim of preparing students for success in college-level mathematics. The goal of Quantway is to promote success in community college mathematics and to develop quantitatively literate students.

Research-Based Pedagogy

Supporting powerful mathematics learning and students’ persistence and engagement.

The Pathways represent an innovative approach to developmental mathematics learning and teaching. Along with a set of revised, accelerated curricula designed to be relevant to students’ academic and career goals, Statway and Quantway are taught using a research-based pedagogy focused on collaboration, fostering deeper learning, and community building in the classroom.

Statway and Quantway are designed to be taught using a student-centered approach that engages students to actively and collaboratively problem solve.

The approach strives to help students achieve flexible expertise through three critical learning opportunities:

Productive struggle – with important mathematics
Explicit connections – between concepts, procedures, problems, situations
Deliberate practice – increasing variation and complexity over time

Many students enter math courses with a belief that they are not a math person or that they don’t belong in the classroom at all. Statway and Quantway instruction is embedded with student support practices and tools to counter socio-emotional factors that limit success. Known collectively as Productive Persistence, these focus on helping students develop a growth mindset toward learning, build strong learning strategies, and nurture community and belonging in the classroom.

Professional Community

Sustaining and improving student success outcomes.

Seven years of data in the classroom show that students in Quantway and Statway succeed at a higher rate and two-to-three times more quickly than their traditionally remediated peers, out-perform them in subsequent quantitative courses, transfer at significantly higher rates, and make lasting gains in key socio-emotional and motivational factors that support success.

We’ve been able to sustain these outcomes through a holistic design. More than just a set of curricula, the Carnegie Math Pathways also encompasses the following.

: Networked Improvement Community

Working as a community enables our faculty and administrative members to collaborate across institutions with their peers to share learnings as well as access and contribute to the ongoing development of evidence-based resources and strategies to support student learning and success.

: Systems Approach

For Statway and Quantway to have a meaningful impact on student completion and success, institutional coordination is necessary to ensure the effective launch and sustained implementation of these programs on a campus. Our network provides resources and coaches to institutions to assist with strategic planning to adopt and scale Statway and Quantway on campuses in order to optimize student success.

: Robust Professional Development

We recognize that teaching is complex and that learning to teach differently is particularly challenging. Thus, we see faculty development as a process not a single injection, and that requires a long-term commitment. We provide support to faculty through intensive initial preparation, ongoing mentoring, online training and forums, and in-person meetings.

Relevant Analytics

Classroom Analytics

Data collection and analysis are at the heart of the Pathways. At the classroom level, instructors receive information specific to their students’ mindsets, feelings of belonging, and background mathematics understanding to help faculty troubleshoot and address students’ needs from the beginning of the semester. Faculty have a sense of how students are engaging with both the math concepts and their engagement throughout the semester and can adapt their practices and provide additional, targeted support to students as needed during the semester. Reports on students’ progress with their homework also support faculty helping students engage in deliberate practice.

A sample “stock and flow” diagram representing students in a classroom that are at risk, moderately at risk, or not at risk on the Growth or Fixed Mindset indicator.

Network Analytics

As a networked improvement community, all Quantway and Statway students take common surveys and assessments. These shared metrics not only support teaching in real time but highlight variation in process and outcomes. This variation supports deeper research around bright spots and areas to improve across the network. Administering a common summative assessment across Quantway and Statway allows all network members to see the impact this systematic approach is having on student success and where the network should focus improvement efforts next.

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Sample Curriculum

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