Developmental Mathematics

Developmental Mathematics is a sixteen-level mastery-based math workbook series by L. George Saad, plainer in presentation than almost anything else on the homeschool shelf and built on the premise that children learn arithmetic by doing it until they know it. It is the quiet workhorse that families turn to when more fashionable programs have not produced the fluency they promised.

Last updated: 2026-04-24 · Every Homeschool Editorial Team

At a glance

Method	Subject-specialist / traditional / mastery-based self-teaching workbook
Worldview	Secular
Grades	K-8 (levels 1-16 plus optional Algebra I and Geometry add-ons at levels 17-20)
Formats	Print workbooks
Cost tier	Budget
Parent intensity	3 (low scripting but active correction and encouragement)
ESA-common	Varies by state
Accredited	No
Established	Program developed from 1970, incorporated as Mathematics Programs Associates in 1974
Website	mathteachersrus.com

Our scoreboard (1-5)

Criterion	Score	One-line reason
Academic rigor	4	Disciplined arithmetic progression; one topic at a time, to mastery
Ease of teaching	4	Self-teaching format; parent corrects and paces but does not present
Content quality	4	Carefully sequenced; notable for filling computation gaps other programs leave
Flexibility	5	Levels are ungraded, so students enter at the topic they need
Value for money	5	Individual workbooks run in the low-to-mid teens; one of the least expensive math programs in print
Worldview scope	5	Completely neutral; no framing of any kind
Visual/design	2	Black-and-white, sparse, visibly old-school
Support resources	2	Minimal; a parent guide exists but much is inferred from the workbook itself

Who the publisher is

Developmental Mathematics was written by L. George Saad, Ph.D., beginning in 1970, with Mathematics Programs Associates incorporated in 1974. Saad's background is in mathematics education, and the program grew out of his work with classroom teachers who wanted a diagnostic, mastery-based alternative to grade-level pacing. The company has remained a small, family-run publisher selling directly from its website at mathteachersrus.com and through Rainbow Resource and a handful of other homeschool retailers.

The company's scale is modest and its marketing is minimal. There is no celebrity curriculum spokesperson, no convention-floor booth rotation, no social-media presence. Developmental Mathematics is a catalog of sixteen numbered workbooks (plus algebra and geometry extensions) that parents discover through Cathy Duffy, through their co-op, through Rainbow Resource, or through the testimony of a neighbor whose child was behind in multiplication and is now not. The program operates on reputation rather than promotion.

Developmental Mathematics is secular. The materials carry no religious framing, no worldview-integrated word problems, and no theological footnote. It is also secular in the sense of being educational rather than philosophical: it does not promote a particular pedagogical theory beyond mastery, and it does not position itself against progressive or conceptual approaches. Parents pick it up when they want arithmetic to become reflex and have given up on programs that did not deliver that outcome.

The core pedagogy

The house method is one-skill-at-a-time mastery learning with self-teaching workbook pages. Each of the sixteen numbered levels covers a single skill cluster. Level 1 is ones: concepts and symbols. Level 2 is ones: addition concepts and basic facts. Level 3 is ones: subtraction. Level 4 is tens. Level 5 is two-digit addition. And so on upward through common fractions, decimals, and percent, culminating at level 16 in special topics including pre-algebra preparation. The sequence is granular, and the intention is that a student masters each level before moving to the next.

Signature mechanics: (1) One topic per book. A student working Level 5 (two-digit addition) does not encounter multiplication. The book's entire architecture is two-digit addition, from concept through mastery. This is unusual even among mastery programs. (2) Self-teaching page format. Each lesson begins with a handful of worked examples. The student reads the examples, then completes the exercises, essentially teaching themselves the procedure with parent oversight. (3) Unit tests for mastery. Each level is divided into units, and each unit ends with a test that determines whether the student moves forward or reviews. Mastery, not pacing, sets the pace. (4) Ungraded levels. The levels are not tied to grade. A third-grader needing fact-fluency catch-up might work level 2 to level 4 during a year; an advanced second-grader might be at level 6. The program explicitly decouples from grade-level pacing.

Saad's own materials note that a typical student completes approximately three levels per school year, which places level 16 at roughly the end of sixth or seventh grade if the student begins at level 1 in kindergarten. This is a slower stated pace than most spiral math programs, which is characteristic of mastery design, depth over coverage.

A day in the life

A third-grader working Level 5 (two-digit addition) opens the workbook to the next page at 9:00 AM. The page contains four worked examples at the top and twenty exercise problems below. The student reads the examples, perhaps two minutes, then works through the exercises on paper. The parent is available, corrects the page against the answer key, and re-teaches any problem the child missed. The child may spend twenty-five to forty minutes on the page, including correction. If it is a test day, the student works the unit test independently, the parent scores it, and a child at or above mastery moves to the next unit; a child below mastery repeats the preceding lessons.

A family using Developmental Mathematics as the primary math program for multiple children often runs each child on a different level simultaneously. Because each book is self-contained, there is no coordination problem between siblings, the parent simply knows which child is on which page.

What they do exceptionally well

Filling computational gaps. Developmental Mathematics is among the most common recommendations for a student whose arithmetic is weak despite completing other programs. A child who came out of Saxon or a spiral program without strong fact fluency can drop into Developmental Mathematics at the appropriate level, work through the gap, and emerge with solid computation in a matter of months rather than years.

Price. Individual workbooks list between approximately $10 and $15 each through Rainbow Resource and the publisher as of April 2026. A full-year of math for a student covering three levels costs under $50. For ESA-cautious families or families with tight budgets, this is one of the lowest-cost credible math programs in the market.

Independent student work. Once a child is reading and can follow worked examples, they can work Developmental Mathematics with minimal adult presentation. The parent's role becomes corrector and re-teacher rather than instructor. For a family running multiple children's programs, this matters.

Mastery-first pedagogy done cleanly. Unlike spiral programs that revisit topics and re-teach them over years, Developmental Mathematics commits to the mastery model without compromise. A student does not move on until they know it. This is harder to execute than it sounds, and the series does it.

What they do poorly

Visual presentation. The workbooks are black-and-white, typeset in a conservative mid-century style, and largely unchanged in design since the 1970s. Younger children accustomed to full-color, illustration-rich materials may resist the format. This is aesthetic only; the pedagogy is unaffected.

Limited conceptual exploration. The program teaches arithmetic procedure thoroughly and teaches the concept underneath the procedure adequately. It does not pursue the kind of conceptual depth that Singapore Math, Beast Academy, or Math-U-See pursue. A student who is conceptually inclined will find Developmental Mathematics useful but incomplete; pairing with a manipulative-based program or a richer conceptual spine often fills the gap.

Thin parent support. The program assumes a parent who can check math work and re-teach a procedure from a worked example. Families wanting lesson plans, instructional videos, or pedagogical coaching will not find them. For parents rusty on pre-algebra content, Developmental Mathematics at the upper levels may require the parent to relearn material alongside the student.

Not a high school program. The core series runs to Level 16 at roughly pre-algebra. Levels 17-18 cover Algebra I and 19-20 cover beginning geometry, but families intending college-prep high school math will usually transition to a more comprehensive high school program (Derek Owens, Saxon, AoPS, or similar) around the end of the core sequence. Developmental Mathematics does its clearest work in the K-8 arithmetic span; asking it to carry Algebra II and beyond is asking something the program is not designed to do.

Who it fits / who it doesn't

• Pick Developmental Mathematics if: you have a student with computational gaps that other programs have not closed; you want genuine mastery-based arithmetic with one topic at a time; you have a tight budget and need math for multiple children; you value independent student work and a parent role limited to correction; you prefer a program that has not changed dramatically across decades of use; you are using it as a diagnostic-catch-up layer alongside another primary program.

• Skip Developmental Mathematics if: you want full-color illustrated workbooks; you need lesson videos or scripted teacher guidance; you want conceptual depth and exploration as the primary pedagogical goal; your child thrives on spiral repetition across topics rather than single-topic focus; you want a single program to carry the student from K through calculus.

Cost honest assessment

Individual workbooks list between approximately $10.25 and $14.95 through Rainbow Resource and similar pricing at mathteachersrus.com as of April 2026. Teacher editions with answer keys run slightly higher. A typical year's worth of math for one child, three workbook levels, answer keys, runs approximately $45-$60. A family with three children each working at a different level spends roughly $135-$180 per year on the entire math curriculum.

Compared to Math-U-See at approximately $140 per level plus manipulatives, Developmental Mathematics is roughly one-third the cost at similar scope. Compared to Saxon Math at approximately $90-$130 per grade (student and teacher editions), Developmental Mathematics is comparable at the workbook level and less expensive over a full program. Compared to CTCMath at $197-$397 for a family subscription, Developmental Mathematics trades the video platform for plain workbooks at a fraction of the cost.

ESA eligibility notes

Developmental Mathematics is secular, which simplifies ESA approval in states that restrict religious materials. However, because the publisher is a small family-run operation without a dedicated ESA workflow, the program is more commonly purchased through distributor marketplaces (Rainbow Resource, Christianbook, and others) where state ESA coverage varies. Families should verify title-level approval in their specific state marketplace before ordering. For ESA reimbursement states (those that pay back parent-submitted receipts), Developmental Mathematics's low per-workbook cost typically falls well within eligibility thresholds.

Alternatives

• Math-U-See, a family would choose Math-U-See over Developmental Mathematics for a mastery program built around manipulatives (the integer blocks) and video instruction, accepting a higher price in exchange for richer conceptual presentation.
• Rod and Staff Math, a family would choose Rod and Staff over Developmental Mathematics for a similarly plain, traditional, mastery-oriented workbook program, with a light Mennonite worldview integration (Bible-themed word problems) rather than secular neutrality.
• Singapore Math (Primary Mathematics), a family would choose Singapore over Developmental Mathematics for a stronger conceptual and bar-model approach with better problem-solving preparation, accepting more parent involvement and higher cost.

How we verified this

Our editorial team reviewed the Developmental Mathematics catalog at mathteachersrus.com, workbook samples and level descriptions at Rainbow Resource, and the comprehensive program review at Cathy Duffy Reviews in April 2026. We cross-referenced founder history and company information against the publisher's own product documentation. Prices and program details verified April 2026.