· By Farnaz Ehtessabian
Developmental Math Resources That Help Adults Close Algebra Gaps
When a placement score lands an adult student in a developmental math course, your first question is what to put in their hands on day one. The developmental math resources that help most with algebra gaps combine a short skills check, worked examples, and a step-by-step reference students keep on the desk during practice. Each piece does a different job, and the reference is the one most programs leave out.
Adult learners arrive with uneven gaps. One student forgot how to divide fractions. Another can solve for x but freezes on a word problem. A third is learning math vocabulary in a second language. In a class of 30, you cannot sit beside each of them for every step.
That is why this guide treats student independence as a key goal to check for any resource. By the end, you will be able to sort tools by the job they do. You will also know which skills to check before credit-bearing math, and what your department should confirm before placing a classroom order.
Which Developmental Math Resources Help Adults Rebuild Algebra?
The resources that work best are the ones matched to a clear job: finding gaps, showing how to solve, giving practice, or helping a student recall a step alone. Most developmental mathematics programs exist to help students meet college entrance requirements, so every tool should move a student closer to a passing grade in their next course.
What Each Resource Should Help a Student Do
Before you compare tools, name the job. Here are the four jobs that matter most in developmental math:
- Find the gap. A diagnostic or skills check shows where a student's knowledge breaks down.
- Show the method. Worked examples model each step of a solution.
- Build fluency. Practice sets give repeated tries with feedback.
- Support recall. A reference reminds the student of a step when no one is nearby.
A resource that tries to do all four often does none of them well. A textbook explains, but a student with a question at problem 12 will not flip back 40 pages. A video shows the method, but it is hard to glance at while working on paper.
When to Use Digital Practice, Worked Examples, and Physical References
Each format fits a different moment in the lesson.
Digital practice fits homework and lab time. Students get quick feedback and can repeat problems at their own pace. It works best for students with a device and steady internet.
Worked examples fit the start of a new skill. Show one full solution, then a second with a missing step, then let students try alone.
Physical references fit independent work in class. A card on the desk stays open next to the student's paper. There is no login, no screen switching, and no waiting for a battery. For adults who feel nervous about math, a small card is also less intimidating than a thick book.
Many instructors use all three: worked examples to teach, cards during practice, and digital sets for homework.
Which Skills Need Attention Before Credit-Bearing Math?
Arithmetic and order of operations come first, because almost every algebra error traces back to them. From there, students build toward variables, equations, and word problems, then the topics their next course requires.
The federal College and Career Readiness Standards for adult education were written so adult students can enter credit-bearing freshman courses without a need for remediation. They make a useful checklist when you plan your sequence.
Check Arithmetic and Order of Operations First
Start with a few quick problems that test the basics:
- Adding and subtracting negative numbers
- Working with fractions and decimals
- Order of operations, such as 8 − 2 × 3
- Distributing, such as 4(x − 5)
If a student answers 18 to 8 − 2 × 3, the issue is order of operations, not algebra. Fix that first. A student who is shaky here will struggle with every equation that follows.
Move from Variables to Equations and Word Problems
Beginning algebra builds in a clear order. Students learn what a variable stands for, then simplify expressions, then solve one-step and two-step equations.
Word problems come next, and they are often where adults get stuck. The math may be easy, but turning a sentence into an equation is a separate skill. Teach students to underline the unknown, name it with a letter, and write one sentence that matches the equation.
Students for whom English is a second language may know the math but miss words like "less than" or "per." Point out these key phrases on purpose.
Match Later Topics to the Student's Next Course
Not every student needs the same path. A student headed to college algebra needs intermediate algebra: functions, systems, polynomials, factoring, and quadratics. A student headed to a statistics course may need more work with ratios, percents, and graphs. Some programs also add a short look at geometry and trigonometry.
Ask each student which course comes next. Then trim the topic list to what that course expects.
How Can Instructors Choose Tools for a Mixed-Ability Class?
Start with a short skills check, then pick tools that let students work at their own level while you move around the room. The right mix depends on what your students can access and how much they can do without you.
Use a Short Skills Check to Find Starting Points
You do not need a long test. Ten to fifteen problems, ordered from easy to hard, will show you where each student's skills stop.
Some programs use an adaptive pre-assessment that changes questions based on each answer. Others use a paper check you write yourself. Either way, sort students into a few loose groups:
- Needs arithmetic review
- Ready for equations
- Ready for functions and beyond
Use these groups for practice time, not as fixed labels. Recheck after a few weeks.
Compare Free Materials, Print References, and Digital Practice
Each type of tool has a place.
Free materials include open textbooks and public sites. The U.S. Department of Education keeps a page of free adult math resources that includes everyday money math and practice problems. Free tools save budget, but you will spend time choosing and organizing them.
Digital practice platforms often include interactive simulations and instant feedback. They work well for homework but depend on devices and internet access.
Print references such as card sets are ready on day one. Students keep them at their desk during class and take them home. Card sets have stuck around because a step you can see and touch is easy to return to.
Check Language Access, Cost, and Student Independence
Before you choose, ask three practical questions:
- Can students who speak Spanish follow it? Look for full translations of steps and examples, not only a glossary.
- What does it cost per student, and for how long? A one-time print purchase and a yearly license are very different budget lines.
- Can a student use it without you? If a student needs you to explain the tool every time, it is less likely to save you time.
The third question decides the most for large classes. A tool students can use alone can let you spend more of your time on the students who need you most.
How Can Students Get Help Without Waiting for the Instructor?
Students often get unstuck sooner when the first stop is a reference or a partner, and you become the third stop. This keeps the line at your desk short and builds the habit of solving problems alone.
Keep a Step-by-Step Reference Within Reach During Practice
When a student gets stuck on an equation, a quick source of help is a card that shows the next step. Keep references on the desk during practice, not in a drawer.
Teach students a simple routine:
- Find the card that matches the problem type.
- Compare your work to the steps on the card.
- Find the first step where your work differs.
AlgebraCards card sets are one example of this kind of step-by-step reference. The idea is that help is there the moment the student needs it, and you can check in exit problems whether students are actually using it to work on their own.
Have Partners Explain a Card Before Asking for Help
Before a student raises a hand, ask them to explain the card to a partner. Talking through each step often shows the mistake. If both partners are still stuck, then they call you over.
This works well with word problems. One partner reads the problem aloud. The other points to the card step that turns the words into an equation. Adults often like this because it feels like working with a coworker, not being tested.
You can also prepare students before class. A short audio lesson lets students hear a concept first, so the references make more sense once class begins.
Use Exit Problems to Decide What to Review Next
End each class with two or three exit problems on the day's skill. Collect them and sort into piles: got it, close, and not yet.
The "not yet" pile tells you what to reteach tomorrow. It also tells you which students to pair with a stronger partner. This is formative assessment without extra grading, and it takes about five minutes.
What Should a Department Check Before Ordering for a Class?
A department should confirm three things before ordering: the materials match the course topics, the language support fits the students, and the ordering terms fit the class size. Clear answers here save returns and delays later.
Match Materials to Course Topics and Class Size
List the topics in your developmental math course, then match them to what each set covers. Card sets often split along a typical sequence, with one set for beginning algebra topics, another for intermediate topics, and smaller topic sets for a single unit.
A smaller set lets a bridge course focus on equations while a later course focuses on quadratics.
Confirm English and Spanish Support
If many of your students speak Spanish at home, check that the materials are fully bilingual. AlgebraCards offers an English/Spanish workbook for educational institutions and post-secondary education, which suits community colleges and adult programs with mixed language backgrounds.
Ask to see sample pages. Make sure the steps are translated, not just the headings.
Ask About Workbook Minimums and Bulk Pricing
Know the ordering rules before you build a budget request. For the bilingual algebra workbook:
- Orders are limited to educational institutions and post-secondary education.
- The minimum order is 15 units or the size of a class.
- Shipping is not included.
- Fees are shared when the order is confirmed.
Schools and programs can also ask about special pricing for bulk card orders. Gather your class sizes and number of sections first so the quote matches your real need.
Choose Resources Students Can Use Between Lessons
The best test for any developmental algebra resource is simple: can a student use it at 9 p.m. at home, or at a desk while you help someone else? Diagnostics and digital practice have their place. The reference that sits next to the paper is what keeps an adult learner moving when no instructor is nearby.
Start with one unit. Give your next skills check, group students loosely, and put a step-by-step reference on every desk during practice. Watch your exit problems for a few weeks and see whether fewer students wait in line for help.
When you are ready to try it with your class, contact AlgebraCards for classroom set and workbook pricing. Full card sets are $50 and smaller topic sets are $25.
Frequently Asked Questions
What does a college developmental math course cover?
Most courses cover arithmetic, beginning algebra, and intermediate algebra. Topics include fractions, order of operations, solving equations, word problems, functions, and factoring. Some programs add a short introduction to statistics or geometry based on the student's next course.
Are there free developmental math resources for adult learners?
Yes, free options include open textbooks and public adult education sites run by the government. They save money but take time to sort and organize. Many instructors pair free practice with a print reference students can use in class.
When is a printable reference more useful than online practice?
A printed reference helps most during in-class work and at home without reliable internet. Students can keep it open beside their paper and check a step without switching screens. Online practice is better for repeated drills with instant feedback.
How can I support students with different algebra skill levels in one class?
Give a short skills check, then form loose groups for practice time. Let each group work with references matched to their topics while you move between them. Use exit problems to regroup students every few weeks.
What should I look for in English and Spanish algebra materials?
Look for full translations of every step and example, not just key terms. Check that the math notation stays the same in both languages so students can switch freely. Ask for sample pages before placing a class order.