Designing Math Pathways That Improve Gateway Throughput: A Guide for Academic Leaders

How academic leaders design math pathways that fit each program, build them into placement and advising, and raise gateway math throughput.

Math pathways are college-level math courses, or short sequences, aligned to each program of study, so that students take the math their field and future work require. At US colleges and universities, the common pathways are statistics for programs whose real need is statistical reasoning, quantitative reasoning for many non-STEM programs, and the algebra-to-calculus path for STEM and calculus-based business programs, with technical math and math for elementary teachers where programs need them. Instead of one general requirement met any number of ways, pathways put each student in the right course at the right time with the right support, and they drop prerequisites the course does not need. Done well, and built into placement, advising, registration and the catalog, math pathways do more for gateway math throughput, the share of entering students who complete college-level math in their first year, than corequisite support alone.

This guide is about what it takes to make math pathways work at a college or university. Offering a set of approved math courses isn't the same as having pathways, and pathways that exist only on paper don't change where students end up. Making them work takes two things. Each program's math requirements have to be designed around what its students need, and that design has to be built into every point where a student chooses a course. This guide covers who should take college algebra, the pathway models to choose between, how to design and operationalize pathways, how they work with corequisite support, and what Rowan College at Burlington County achieved when it did this work at scale.

On this page

  1. What are math pathways in higher education?
  2. Why are math pathways the highest-impact decision in gateway math?
  3. Who should take college algebra, and who should not?
  4. Which math pathway models do colleges use?
  5. Quantitative reasoning as a math pathway
  6. How should an institution design its math pathways?
  7. Who should decide which math course each program requires?
  8. What does it mean to operationalize math pathways?
  9. How do math pathways and corequisite support work together?
  10. How should students get into the right college-level math course?
  11. How do math pathways affect equity?
  12. What results can math pathways produce?
  13. How long does a math pathways redesign take?
  14. How can a leader tell whether math pathways are working?
  15. Frequently asked questions

What are math pathways in higher education?

A math pathway is a college-level math course, or a short sequence, chosen for a program because it matches the quantitative reasoning that program, and the careers it leads to, require. A psychology major needs statistics. An engineering major needs the algebra that leads to calculus. The pathway names the right course for the program instead of leaving students to meet a general math requirement however they choose.

The alternative is open choice, where students are told to take any math course numbered 100 or above. Students then choose based on assumptions, and the costliest is also the most common one, that college algebra is the natural next step after high school algebra. For most students, it isn't. So the real work of math pathways isn't publishing a list of approved courses. It's designing the path into the right college-level course for each program, then operationalizing it so students follow it. It's the starting point for math redesign at the institutional level.

Why are math pathways the highest-impact decision in gateway math?

At US colleges and universities, math pathways are the highest-impact decision in gateway math, because the course a student starts matters more than the support added around it. An institution can add a corequisite or an embedded tutor, but corequisites alone aren't enough. Which course a student is in matters greatly, not just how much support they have in it.

The measure that shows this is throughput, the share of entering students who complete a college-level gateway course within their first year. Throughput is a truer measure than pass rates because it counts the whole pipeline, including students who never enroll, withdraw or stall in a prerequisite.

You can see the cost in your own data. Ask your Institutional Research staff to pull a report for students from a few years ago who earned a D, an F, or withdrew in your developmental or college algebra courses, and look at what they did next. Did they re-enroll, stop out, or drop out? A meaningful share will likely have left the college, not only the course. That's why pathway design sits upstream of retention and enrollment.

Who should take college algebra, and who should not?

The defining decision in any math pathways redesign is who takes college algebra and who doesn't. College algebra is the right course for students heading toward calculus, which means STEM programs, business programs that require business calculus, and programs built on a course such as finite math that rests on a college algebra foundation. It isn't an exit course, and its purpose is to lead into the fields that need it.

When college algebra becomes the default requirement for programs that never use it, the damage compounds. Students face an algebra-heavy placement test, place into a developmental sequence, have a discouraging experience, and often leave not only the course but the institution.

The same default shows up in prerequisites. Many institutions still require college algebra before statistics, a holdover we see all the time. Students don't need college algebra to pass an introductory statistics course, and the requirement filters students out rather than preparing them. Neither statistics nor quantitative reasoning should carry a prerequisite. For statistics and quantitative reasoning, the only real decision is whether a student takes the course on its own or with a corequisite.

Which math pathway models do colleges use?

These are the most common math pathway models at US colleges and universities. The college algebra path leads to calculus and belongs only to programs that require it. The quantitative reasoning path, sometimes called liberal arts math or quantitative literacy, is an accessible general education course for students who aren't STEM-bound. The statistics path serves programs whose real need is statistical reasoning, such as psychology and social work. Some colleges also add a data science path, a technical math path that leads directly into technical fields, and a math for elementary teachers path for education programs.

Pathway modelWho it servesPrerequisites and support
College algebra to calculusSTEM programs, and business programs that require business calculus or a course such as finite mathA real prerequisite sequence can make sense on the way to calculus. If a student isn't ready for college algebra, identify the algebra they're missing and close the gap with a corequisite, an embedded tutor or a bootcamp
Quantitative reasoningStudents who aren't STEM-bound, in fields such as writing and journalismNo prerequisite. The student takes the course on its own or with a corequisite
StatisticsPrograms whose real need is statistical reasoning, such as psychology and social workNo prerequisite, and never college algebra first for an elementary statistics course. The student takes the course on its own or with a corequisite
Technical mathTechnical fields, through a technical math course that leads directly into themThe course on its own or with a corequisite, taken early enough to prepare students for the rest of their program
Math for elementary teachersEducation programsThe course when a student is ready, with a bootcamp or a non-STEM college math course first if not

Choosing among these models takes real time, because every program has to be looked at with new eyes rather than assigned the course it has always used. The models answer which course each program needs. The second decision, how students get into that course, comes later in this guide.

Quantitative reasoning as a math pathway

Quantitative reasoning, sometimes called liberal arts math or quantitative literacy, is the college-level math pathway built for programs that don't lead to calculus. It's an accessible general education course that develops the reasoning a non-STEM graduate uses in life and work, and like statistics, it should carry no algebra prerequisite.

Quantitative reasoning also carries a misconception among students. Many students assume it's harder than algebra and avoid it, without knowing it has a higher success rate. Left to choose without guidance, they act on that assumption, which is why direction matters more than the number of options in the catalog. At Rowan College at Burlington County, pass rates in Modern College Math, one of its non-STEM gateway courses, rose from 59 to 85 percent after the redesign.

How should an institution design its math pathways?

Good math pathway design at a college or university starts with the end in mind and works backward, the same backward mapping used in sound course design. The starting point isn't what the math department believes students should know. It's what the program, and the job the program leads to, require. From there you map back to the necessary math, then ask whether anything is needed before it. For many non-STEM programs, the answer is a single course such as statistics with no prerequisite. For engineering, the answer might be a real sequence leading to calculus, where prerequisites like algebra and trigonometry legitimately apply.

That points to the principle that should govern every prerequisite.

A prerequisite exists to give students the skills they need for the next course, not to filter who is allowed in.

If a prerequisite is functioning as a filter rather than as preparation, it should be changed or removed. Developmental algebra requirements attached to courses that don't need them are the clearest example.

Design is never finished. Programs change, technology changes, and the work a field does evolves. Pathways should be revisited on a regular cycle, with one test in mind, whether students are getting the math they'll use. The end goal isn't a passed exam or a completed requirement. It's employment, and the family-sustaining wages that come with it.

Who should decide which math course each program requires?

At a college or university, the decision about which math each program requires can't live inside the math department alone. Math faculty bring essential expertise, but they don't see every program's needs. A strong process brings a representative from each major program area, such as nursing, engineering, the technical fields and the liberal arts, to the table with the chief academic officer, the math department and advising staff, and ideally the registrar and the person who manages the catalog. It's a lot of people, and it's what keeps an institution from drifting back to a general requirement that serves no one well.

The harder conversation is about the purpose of math. Math is a preparation field. Its job is to prepare students for their programs and their work, not to decide who deserves a college education. That preparation has to be differentiated by program, because no single course fits every student. Faculty-partnered work is what makes that conversation productive. Leaders address faculty concerns with respect, bring program faculty and math faculty into the same decisions, and hold to the goal that every course prepares students for what comes next.

What does it mean to operationalize math pathways?

Operationalizing math pathways means building the right course into every point where a college student could be steered one way or another. Those points are placement, registration, advising, the catalog, the website, and the messaging students see across campus. Having the courses, even with a published flowchart, isn't the same as having pathways. Until the pathways are operationalized, they exist only on paper.

When those decision points aren't aligned, students drift back into college algebra, faculty conclude that the model doesn't work, and the effort stalls. The model can work. What failed is that the pathways were never operationalized.

This is the systems layer of our Gateway Success at Scale framework, which aligns change across culture, systems, and classroom practice. The work is detailed and cross-departmental. At Rowan College at Burlington County, it meant more than 120 program and curricular changes through governance, overhauled advising scripts and protocols, and guided self-placement for non-STEM students, all in place before launch. It's the kind of "done with you" work we do alongside your team, rather than handing over a report and stepping away.

How do math pathways and corequisite support work together?

Math pathways come first, and corequisite support depends on them. A corequisite gives students just-in-time help while they take a college-level course, in place of a separate developmental course beforehand. Corequisite support works, but it reaches its full effect only when the course is the right one for the student's program. The course is the larger determinant of the outcome, and that's the pathway decision.

Within a pathway, the support question differs by course type. Statistics and quantitative reasoning carry no prerequisite, so the only question is whether a student takes the course with a corequisite. Algebra-based courses turn on which specific skills a student needs to build, and on how the institution helps them build those skills, whether through a corequisite, an embedded tutor or a bootcamp. We advise against defaulting students into standalone developmental sequences, because those sequences rarely deliver what they were long assumed to deliver, as the research on corequisite results over time bears out.

This is also where it helps to retire the idea of student "readiness" as a fixed trait. The useful question isn't whether a student is ready for the system, but whether the system is ready for the student. Readiness is specific and nameable, a defined set of skills for a defined course, which the institution can support. For the pairing in depth, see getting started with corequisite support and how we implement corequisite support. Our field guide to corequisite success at scale goes further.

How should students get into the right college-level math course?

Choosing the right college-level course for each program is the first structural decision in math pathways. The second is how students who need more preparation get into that course. We work with institutions across five models. Two remove standalone developmental courses entirely. One adds a short bootcamp for students for whom a corequisite course is still too much, and the other places students who aren't ready for college algebra in a non-STEM college course first, so they earn college credit every semester. The other three keep a single developmental course before both pathways, a separate course for each pathway, or one course for the STEM pathway only. Math Literacy at Rock Valley College is one pathway-specific developmental course.

The right model depends mostly on the institution's context. State policy decides whether standalone developmental courses are allowed at all, and faculty readiness decides how far an institution can move in one step. Keeping one developmental course can be the step that brings reluctant faculty along. Two rules hold across the models. In any model that keeps a standalone developmental course, placement should put no more than 10 percent of all students in it, so the large majority start in a college-level course. And intermediate algebra stops being a separate course, because its content moves into the college algebra corequisite or the courses before it. A standalone course is a starting point, not an end point, so let throughput show whether it's helping the students it was built for.

Decision guide

The Math Pathways Decision Guide

It lays out each model with its flowchart, when to choose it, its central trade-off, and a five-question decision tree to find the one that fits your institution.

Download the Math Pathways Decision Guide

How do math pathways affect equity?

The equity stakes of math pathway design are structural, not incidental. We know from the data that when every student is routed through the algebra sequence as the supposedly safe route, students of color and Pell-eligible students are disproportionately placed into developmental sequences, where those exist, instead of directly into college-level courses. A default of “take whatever you want”, or “start in algebra to be safe”, widens equity gaps rather than closing them.

The correction is structural too. Pathways locate the problem where it belongs, in system-level design, and they do it without labeling students. Getting the design right is also where an institution's enrollment, retention and completion numbers turn, because misalignment is where those numbers fall.

What results can math pathways produce?

When math pathways work, gateway math throughput climbs, and students finish their math requirement sooner because they aren't repeating high school algebra or putting off a course that never made sense for them. Rowan College at Burlington County, a community college in New Jersey, shows what that looks like at scale.

The college reviewed every academic program, reset each one's math requirement, and replaced an algebra-for-everyone default with four program-based college-level courses. Non-STEM students moved to guided self-placement. The college's corequisite clinics were rebuilt so their only purpose was supporting success in the credit-bearing course, and students opted into them even when they weren't required. Once the college removed the algebra and placement-test prerequisites from its non-STEM courses, enrollment in those courses rose, and enrollment in college algebra and precalculus fell, as it should, because students who didn't need them were no longer sitting in them.

The results followed the design. Among students taking math in their first year, the share starting in a college-level course rose from about half to 73 percent once the redesign launched at scale in fall 2024. Pass rates rose from 57 to 71 percent in Introduction to Statistics and from 59 to 85 percent in Modern College Math, and the share of all entering students completing college-level math in their first year rose from 33 to 39 percent. Standards didn't fall. More students were in the right math course. The full story is in our Rowan College at Burlington County case study, and our work with partner institutions includes more math redesign success stories.

73%of first-year math students started in a college-level course, up from about half
57 to 71%pass rate in Introduction to Statistics
59 to 85%pass rate in Modern College Math
33 to 39%of all entering students completed college-level math in their first year

Rowan College at Burlington County, after launching at scale in fall 2024

How long does a math pathways redesign take?

A math pathways redesign at scale takes under twelve months at most US colleges and universities when the courses already exist and the work is to use them differently. The work is coordination, which means aligning each program on its required math, securing approvals, programming the changes into the catalog and the student information system, and training advisors and staff on the new placement and advising. Rowan College at Burlington County designed its redesign across a fall and spring semester, took more than 120 program and curricular changes through governance that spring and summer, and launched at full scale the following fall. That took about a year, even with some new courses created along the way.

The most useful advice is to set a deadline tied to a specific fall term and hold to it. There will be moments when delaying rollout feels easier, but the payoff is large enough to justify holding the line. Smaller institutions, or those that already have the courses and fewer people to coordinate, can move in a single semester.

How can a leader tell whether math pathways are working?

One question tells a college or university leader whether the institution's math pathways are working. Ask your math department how students know which math course to take for their program, and when. If the answer is clear and consistent, your pathways are working. If it dissolves into "it depends," or a list of options, or a shrug toward the catalog, then the pathways aren't yet where they need to be, and operationalization work remains.

The test isn't what faculty and administrators believe. It's whether the student would know what to take and when.

The number that confirms the answer is throughput. Track the share of entering students who complete college-level math in their first year, and check whether any standalone developmental course is helping the students it was built for. When you're ready to act on what you find, see how we approach gateway course redesign.

Frequently asked questions

Is college algebra a prerequisite for statistics?

It shouldn't be. Students don't need college algebra to succeed in an introductory statistics course, and the requirement is a historical holdover that filters students out rather than preparing them. In a math pathways model, statistics carries no algebra prerequisite, and the only decision is whether a student takes the course on its own or with a corequisite.

Do math pathways lower academic standards?

No. Pass rates rise because more students are in the right course, not because the courses got easier. When Rowan College at Burlington County aligned each program's math, pass rates rose in its non-STEM courses, from 57 to 71 percent in Introduction to Statistics and from 59 to 85 percent in Modern College Math, because more students were in a course that fit their program.

What is the difference between offering math courses and having math pathways?

Offering the courses, even with a flowchart, isn't the same as having pathways. A pathway exists when the right course is built into every decision point a student passes through, which includes placement, registration, advising, the catalog, the website and campus messaging. Until those points steer students, many will still default into college algebra.

What is gateway math throughput?

Gateway math throughput is the share of entering students who complete a college-level math course within their first year. It's a truer measure than pass rates because it counts students who never enroll, withdraw or stall in a prerequisite. Math pathways raise it by putting each student in the course their program needs, with support sized to that course.

Can a small college redesign its math pathways in one semester?

Yes, if it already has the courses and fewer people to coordinate, though it takes concentrated work. Most institutions need about a year to align programs, secure approvals, update the catalog and student information system, and train advisors. Setting a deadline tied to a specific fall term is what keeps either timeline on track.

Do math pathways replace corequisite support?

No. Pathways decide which course a student takes, and corequisite support decides how much help they get in it. Corequisites reach their full effect only when the course fits the student's program, so the pathway decision comes first and the support decision follows.

Get started

Math pathways reward the institutions that commit to both the design and the follow-through. If you want a partner who does that work with you, not from a distance, we'd like to help. Get started with Almy Education. You can also download the Math Pathways Decision Guide to work through the five models with your team first.

Decision guide

Find the model that fits your institution

The Math Pathways Decision Guide gives your team each model with its flowchart, its central trade-off, and a five-question decision tree.

Download the Math Pathways Decision Guide

Designing Math Pathways That Improve Gateway Throughput: A Guide for Academic Leaders

How academic leaders design math pathways that fit each program, build them into placement and advising, and raise gateway math throughput.

Download Resource
Math pathways are college-level math courses, or short sequences, aligned to each program of study, so that students take the math their field and future work require. At US colleges and universities, the common pathways are statistics for programs whose real need is statistical reasoning, quantitative reasoning for many non-STEM programs, and the algebra-to-calculus path for STEM and calculus-based business programs, with technical math and math for elementary teachers where programs need them. Instead of one general requirement met any number of ways, pathways put each student in the right course at the right time with the right support, and they drop prerequisites the course does not need. Done well, and built into placement, advising, registration and the catalog, math pathways do more for gateway math throughput, the share of entering students who complete college-level math in their first year, than corequisite support alone.

This guide is about what it takes to make math pathways work at a college or university. Offering a set of approved math courses isn't the same as having pathways, and pathways that exist only on paper don't change where students end up. Making them work takes two things. Each program's math requirements have to be designed around what its students need, and that design has to be built into every point where a student chooses a course. This guide covers who should take college algebra, the pathway models to choose between, how to design and operationalize pathways, how they work with corequisite support, and what Rowan College at Burlington County achieved when it did this work at scale.

On this page

  1. What are math pathways in higher education?
  2. Why are math pathways the highest-impact decision in gateway math?
  3. Who should take college algebra, and who should not?
  4. Which math pathway models do colleges use?
  5. Quantitative reasoning as a math pathway
  6. How should an institution design its math pathways?
  7. Who should decide which math course each program requires?
  8. What does it mean to operationalize math pathways?
  9. How do math pathways and corequisite support work together?
  10. How should students get into the right college-level math course?
  11. How do math pathways affect equity?
  12. What results can math pathways produce?
  13. How long does a math pathways redesign take?
  14. How can a leader tell whether math pathways are working?
  15. Frequently asked questions

What are math pathways in higher education?

A math pathway is a college-level math course, or a short sequence, chosen for a program because it matches the quantitative reasoning that program, and the careers it leads to, require. A psychology major needs statistics. An engineering major needs the algebra that leads to calculus. The pathway names the right course for the program instead of leaving students to meet a general math requirement however they choose.

The alternative is open choice, where students are told to take any math course numbered 100 or above. Students then choose based on assumptions, and the costliest is also the most common one, that college algebra is the natural next step after high school algebra. For most students, it isn't. So the real work of math pathways isn't publishing a list of approved courses. It's designing the path into the right college-level course for each program, then operationalizing it so students follow it. It's the starting point for math redesign at the institutional level.

Why are math pathways the highest-impact decision in gateway math?

At US colleges and universities, math pathways are the highest-impact decision in gateway math, because the course a student starts matters more than the support added around it. An institution can add a corequisite or an embedded tutor, but corequisites alone aren't enough. Which course a student is in matters greatly, not just how much support they have in it.

The measure that shows this is throughput, the share of entering students who complete a college-level gateway course within their first year. Throughput is a truer measure than pass rates because it counts the whole pipeline, including students who never enroll, withdraw or stall in a prerequisite.

You can see the cost in your own data. Ask your Institutional Research staff to pull a report for students from a few years ago who earned a D, an F, or withdrew in your developmental or college algebra courses, and look at what they did next. Did they re-enroll, stop out, or drop out? A meaningful share will likely have left the college, not only the course. That's why pathway design sits upstream of retention and enrollment.

Who should take college algebra, and who should not?

The defining decision in any math pathways redesign is who takes college algebra and who doesn't. College algebra is the right course for students heading toward calculus, which means STEM programs, business programs that require business calculus, and programs built on a course such as finite math that rests on a college algebra foundation. It isn't an exit course, and its purpose is to lead into the fields that need it.

When college algebra becomes the default requirement for programs that never use it, the damage compounds. Students face an algebra-heavy placement test, place into a developmental sequence, have a discouraging experience, and often leave not only the course but the institution.

The same default shows up in prerequisites. Many institutions still require college algebra before statistics, a holdover we see all the time. Students don't need college algebra to pass an introductory statistics course, and the requirement filters students out rather than preparing them. Neither statistics nor quantitative reasoning should carry a prerequisite. For statistics and quantitative reasoning, the only real decision is whether a student takes the course on its own or with a corequisite.

Which math pathway models do colleges use?

These are the most common math pathway models at US colleges and universities. The college algebra path leads to calculus and belongs only to programs that require it. The quantitative reasoning path, sometimes called liberal arts math or quantitative literacy, is an accessible general education course for students who aren't STEM-bound. The statistics path serves programs whose real need is statistical reasoning, such as psychology and social work. Some colleges also add a data science path, a technical math path that leads directly into technical fields, and a math for elementary teachers path for education programs.

Pathway modelWho it servesPrerequisites and support
College algebra to calculusSTEM programs, and business programs that require business calculus or a course such as finite mathA real prerequisite sequence can make sense on the way to calculus. If a student isn't ready for college algebra, identify the algebra they're missing and close the gap with a corequisite, an embedded tutor or a bootcamp
Quantitative reasoningStudents who aren't STEM-bound, in fields such as writing and journalismNo prerequisite. The student takes the course on its own or with a corequisite
StatisticsPrograms whose real need is statistical reasoning, such as psychology and social workNo prerequisite, and never college algebra first for an elementary statistics course. The student takes the course on its own or with a corequisite
Technical mathTechnical fields, through a technical math course that leads directly into themThe course on its own or with a corequisite, taken early enough to prepare students for the rest of their program
Math for elementary teachersEducation programsThe course when a student is ready, with a bootcamp or a non-STEM college math course first if not

Choosing among these models takes real time, because every program has to be looked at with new eyes rather than assigned the course it has always used. The models answer which course each program needs. The second decision, how students get into that course, comes later in this guide.

Quantitative reasoning as a math pathway

Quantitative reasoning, sometimes called liberal arts math or quantitative literacy, is the college-level math pathway built for programs that don't lead to calculus. It's an accessible general education course that develops the reasoning a non-STEM graduate uses in life and work, and like statistics, it should carry no algebra prerequisite.

Quantitative reasoning also carries a misconception among students. Many students assume it's harder than algebra and avoid it, without knowing it has a higher success rate. Left to choose without guidance, they act on that assumption, which is why direction matters more than the number of options in the catalog. At Rowan College at Burlington County, pass rates in Modern College Math, one of its non-STEM gateway courses, rose from 59 to 85 percent after the redesign.

How should an institution design its math pathways?

Good math pathway design at a college or university starts with the end in mind and works backward, the same backward mapping used in sound course design. The starting point isn't what the math department believes students should know. It's what the program, and the job the program leads to, require. From there you map back to the necessary math, then ask whether anything is needed before it. For many non-STEM programs, the answer is a single course such as statistics with no prerequisite. For engineering, the answer might be a real sequence leading to calculus, where prerequisites like algebra and trigonometry legitimately apply.

That points to the principle that should govern every prerequisite.

A prerequisite exists to give students the skills they need for the next course, not to filter who is allowed in.

If a prerequisite is functioning as a filter rather than as preparation, it should be changed or removed. Developmental algebra requirements attached to courses that don't need them are the clearest example.

Design is never finished. Programs change, technology changes, and the work a field does evolves. Pathways should be revisited on a regular cycle, with one test in mind, whether students are getting the math they'll use. The end goal isn't a passed exam or a completed requirement. It's employment, and the family-sustaining wages that come with it.

Who should decide which math course each program requires?

At a college or university, the decision about which math each program requires can't live inside the math department alone. Math faculty bring essential expertise, but they don't see every program's needs. A strong process brings a representative from each major program area, such as nursing, engineering, the technical fields and the liberal arts, to the table with the chief academic officer, the math department and advising staff, and ideally the registrar and the person who manages the catalog. It's a lot of people, and it's what keeps an institution from drifting back to a general requirement that serves no one well.

The harder conversation is about the purpose of math. Math is a preparation field. Its job is to prepare students for their programs and their work, not to decide who deserves a college education. That preparation has to be differentiated by program, because no single course fits every student. Faculty-partnered work is what makes that conversation productive. Leaders address faculty concerns with respect, bring program faculty and math faculty into the same decisions, and hold to the goal that every course prepares students for what comes next.

What does it mean to operationalize math pathways?

Operationalizing math pathways means building the right course into every point where a college student could be steered one way or another. Those points are placement, registration, advising, the catalog, the website, and the messaging students see across campus. Having the courses, even with a published flowchart, isn't the same as having pathways. Until the pathways are operationalized, they exist only on paper.

When those decision points aren't aligned, students drift back into college algebra, faculty conclude that the model doesn't work, and the effort stalls. The model can work. What failed is that the pathways were never operationalized.

This is the systems layer of our Gateway Success at Scale framework, which aligns change across culture, systems, and classroom practice. The work is detailed and cross-departmental. At Rowan College at Burlington County, it meant more than 120 program and curricular changes through governance, overhauled advising scripts and protocols, and guided self-placement for non-STEM students, all in place before launch. It's the kind of "done with you" work we do alongside your team, rather than handing over a report and stepping away.

How do math pathways and corequisite support work together?

Math pathways come first, and corequisite support depends on them. A corequisite gives students just-in-time help while they take a college-level course, in place of a separate developmental course beforehand. Corequisite support works, but it reaches its full effect only when the course is the right one for the student's program. The course is the larger determinant of the outcome, and that's the pathway decision.

Within a pathway, the support question differs by course type. Statistics and quantitative reasoning carry no prerequisite, so the only question is whether a student takes the course with a corequisite. Algebra-based courses turn on which specific skills a student needs to build, and on how the institution helps them build those skills, whether through a corequisite, an embedded tutor or a bootcamp. We advise against defaulting students into standalone developmental sequences, because those sequences rarely deliver what they were long assumed to deliver, as the research on corequisite results over time bears out.

This is also where it helps to retire the idea of student "readiness" as a fixed trait. The useful question isn't whether a student is ready for the system, but whether the system is ready for the student. Readiness is specific and nameable, a defined set of skills for a defined course, which the institution can support. For the pairing in depth, see getting started with corequisite support and how we implement corequisite support. Our field guide to corequisite success at scale goes further.

How should students get into the right college-level math course?

Choosing the right college-level course for each program is the first structural decision in math pathways. The second is how students who need more preparation get into that course. We work with institutions across five models. Two remove standalone developmental courses entirely. One adds a short bootcamp for students for whom a corequisite course is still too much, and the other places students who aren't ready for college algebra in a non-STEM college course first, so they earn college credit every semester. The other three keep a single developmental course before both pathways, a separate course for each pathway, or one course for the STEM pathway only. Math Literacy at Rock Valley College is one pathway-specific developmental course.

The right model depends mostly on the institution's context. State policy decides whether standalone developmental courses are allowed at all, and faculty readiness decides how far an institution can move in one step. Keeping one developmental course can be the step that brings reluctant faculty along. Two rules hold across the models. In any model that keeps a standalone developmental course, placement should put no more than 10 percent of all students in it, so the large majority start in a college-level course. And intermediate algebra stops being a separate course, because its content moves into the college algebra corequisite or the courses before it. A standalone course is a starting point, not an end point, so let throughput show whether it's helping the students it was built for.

Decision guide

The Math Pathways Decision Guide

It lays out each model with its flowchart, when to choose it, its central trade-off, and a five-question decision tree to find the one that fits your institution.

Download the Math Pathways Decision Guide

How do math pathways affect equity?

The equity stakes of math pathway design are structural, not incidental. We know from the data that when every student is routed through the algebra sequence as the supposedly safe route, students of color and Pell-eligible students are disproportionately placed into developmental sequences, where those exist, instead of directly into college-level courses. A default of “take whatever you want”, or “start in algebra to be safe”, widens equity gaps rather than closing them.

The correction is structural too. Pathways locate the problem where it belongs, in system-level design, and they do it without labeling students. Getting the design right is also where an institution's enrollment, retention and completion numbers turn, because misalignment is where those numbers fall.

What results can math pathways produce?

When math pathways work, gateway math throughput climbs, and students finish their math requirement sooner because they aren't repeating high school algebra or putting off a course that never made sense for them. Rowan College at Burlington County, a community college in New Jersey, shows what that looks like at scale.

The college reviewed every academic program, reset each one's math requirement, and replaced an algebra-for-everyone default with four program-based college-level courses. Non-STEM students moved to guided self-placement. The college's corequisite clinics were rebuilt so their only purpose was supporting success in the credit-bearing course, and students opted into them even when they weren't required. Once the college removed the algebra and placement-test prerequisites from its non-STEM courses, enrollment in those courses rose, and enrollment in college algebra and precalculus fell, as it should, because students who didn't need them were no longer sitting in them.

The results followed the design. Among students taking math in their first year, the share starting in a college-level course rose from about half to 73 percent once the redesign launched at scale in fall 2024. Pass rates rose from 57 to 71 percent in Introduction to Statistics and from 59 to 85 percent in Modern College Math, and the share of all entering students completing college-level math in their first year rose from 33 to 39 percent. Standards didn't fall. More students were in the right math course. The full story is in our Rowan College at Burlington County case study, and our work with partner institutions includes more math redesign success stories.

73%of first-year math students started in a college-level course, up from about half
57 to 71%pass rate in Introduction to Statistics
59 to 85%pass rate in Modern College Math
33 to 39%of all entering students completed college-level math in their first year

Rowan College at Burlington County, after launching at scale in fall 2024

How long does a math pathways redesign take?

A math pathways redesign at scale takes under twelve months at most US colleges and universities when the courses already exist and the work is to use them differently. The work is coordination, which means aligning each program on its required math, securing approvals, programming the changes into the catalog and the student information system, and training advisors and staff on the new placement and advising. Rowan College at Burlington County designed its redesign across a fall and spring semester, took more than 120 program and curricular changes through governance that spring and summer, and launched at full scale the following fall. That took about a year, even with some new courses created along the way.

The most useful advice is to set a deadline tied to a specific fall term and hold to it. There will be moments when delaying rollout feels easier, but the payoff is large enough to justify holding the line. Smaller institutions, or those that already have the courses and fewer people to coordinate, can move in a single semester.

How can a leader tell whether math pathways are working?

One question tells a college or university leader whether the institution's math pathways are working. Ask your math department how students know which math course to take for their program, and when. If the answer is clear and consistent, your pathways are working. If it dissolves into "it depends," or a list of options, or a shrug toward the catalog, then the pathways aren't yet where they need to be, and operationalization work remains.

The test isn't what faculty and administrators believe. It's whether the student would know what to take and when.

The number that confirms the answer is throughput. Track the share of entering students who complete college-level math in their first year, and check whether any standalone developmental course is helping the students it was built for. When you're ready to act on what you find, see how we approach gateway course redesign.

Frequently asked questions

Is college algebra a prerequisite for statistics?

It shouldn't be. Students don't need college algebra to succeed in an introductory statistics course, and the requirement is a historical holdover that filters students out rather than preparing them. In a math pathways model, statistics carries no algebra prerequisite, and the only decision is whether a student takes the course on its own or with a corequisite.

Do math pathways lower academic standards?

No. Pass rates rise because more students are in the right course, not because the courses got easier. When Rowan College at Burlington County aligned each program's math, pass rates rose in its non-STEM courses, from 57 to 71 percent in Introduction to Statistics and from 59 to 85 percent in Modern College Math, because more students were in a course that fit their program.

What is the difference between offering math courses and having math pathways?

Offering the courses, even with a flowchart, isn't the same as having pathways. A pathway exists when the right course is built into every decision point a student passes through, which includes placement, registration, advising, the catalog, the website and campus messaging. Until those points steer students, many will still default into college algebra.

What is gateway math throughput?

Gateway math throughput is the share of entering students who complete a college-level math course within their first year. It's a truer measure than pass rates because it counts students who never enroll, withdraw or stall in a prerequisite. Math pathways raise it by putting each student in the course their program needs, with support sized to that course.

Can a small college redesign its math pathways in one semester?

Yes, if it already has the courses and fewer people to coordinate, though it takes concentrated work. Most institutions need about a year to align programs, secure approvals, update the catalog and student information system, and train advisors. Setting a deadline tied to a specific fall term is what keeps either timeline on track.

Do math pathways replace corequisite support?

No. Pathways decide which course a student takes, and corequisite support decides how much help they get in it. Corequisites reach their full effect only when the course fits the student's program, so the pathway decision comes first and the support decision follows.

Get started

Math pathways reward the institutions that commit to both the design and the follow-through. If you want a partner who does that work with you, not from a distance, we'd like to help. Get started with Almy Education. You can also download the Math Pathways Decision Guide to work through the five models with your team first.

Decision guide

Find the model that fits your institution

The Math Pathways Decision Guide gives your team each model with its flowchart, its central trade-off, and a five-question decision tree.

Download the Math Pathways Decision Guide

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Almy Education is the only gateway course consultancy that combines proven methodology with hands-on 'done with you' implementation support, led by current and former faculty who understand both systemic change management and classroom realities.

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