**See the complete review in 102 Top Picks for Homeschool Curriculum.**

Steve Demme, creator of *Math-U-See*, combines hands-on methodology with incremental instruction and continual review in this manipulative-based program. It excels in its hands-on presentation of math concepts that enables students to understand how math works. It is one of the rare multi-sensory math programs that continues to use manipulatives up through Algebra 1.

Manipulative Blocks, Fraction Overlays, and Algebra and Decimal Inserts are used at different levels to teach concepts, primarily using the “rectangle building” principle. This basic idea, consistently used throughout the program—even through algebra—is one of the best ways to demonstrate math concepts. There is also a digital app version of the manipulatives that offers a virtual experience with the manipulatives. The app is available for Apple devices and the Chrome browser right now, but Android and Kindle Fire versions are in the works too.

One of the things I think makes *Math-U-See* so popular is that many parents and teachers find that author Steve Demme's presentations of math concepts helps them to finally comprehend much that they were taught in math but never understood. Parents and teachers with a new or renewed enthusiasm for math then do a much better job teaching their own children.

*Math-U-See* uses a “skill-mastery” approach, requiring students to demonstrate mastery of each topic before moving on. The program also builds in systematic review for previously learned concepts.

There are eight books for elementary grades titled *Primer, Alpha, Beta, Gamma, Delta, Epsilon, Zeta,* and *Pre-Algebra*. The Greek letter designations were chosen particularly to emphasize the order of learning rather than grade level designation. Students should move on to the next level once they've mastered the content of a book. These first eight books are followed by *Algebra 1, Geometry, Algebra 2, PreCalculus with Trigonometry*, and *Calculus*. Placement tests for the different levels are available free at the *Math-U-See* website.

Student workbooks and test booklets are softcover, and the pages are perforated and punched so they can easily be removed, written upon, and placed in binders. Enrichment exercises have been incorporated into the student workbooks for *Primer* through *Pre-Calculus*....

Test booklets for each course have tests to be used at the end of each lesson plus four unit tests and a final exam. Neither student workbook pages nor tests are reproducible; you need to purchase books for each student. Student workbooks and test booklets are the only consumable items in each course.

Instruction manuals are printed in hardcover books with full-color covers so they can be used a number of times. Complete answer keys with solutions are included for all problems at all levels, an especially helpful feature at upper levels.....

The program covers all necessary math concepts, but it does not try to correlate the teaching of concepts at the same grade level or in the same order as some other programs.

For each level you need both the student pack and the instruction pack. The student pack for each level includes a student workbook and a test booklet for each level except *Primer.*

For *Primer* through *Algebra 1*, you will also need to purchase the set of Manipulative Blocks or the digital manipulatives app. *Math-U-See's* manipulatives are primarily plastic blocks somewhat similar to Base Ten Blocks and Cuisenaire Rods, color-coded to correspond to each number. (See my review of both.) The blocks snap together like LEGOs®. Fraction Overlays are added at the* Epsilon* level, and Algebra/Decimal Inserts are added at the *Zeta* level. That means the same sets of manipulatives are each used over at least a few years.

The instruction pack for each level includes an instruction manual plus one or more DVDs that “teach the teacher.” Note that DVDs have subtitles for the hearing impaired. Parents must watch the DVDs to understand the basic concepts that are the foundation of the program. On the DVDs, Demme works through each level lesson-by-lesson, demonstrating and instructing. Demme's presentation is enthusiastic and engaging as he clearly explains what he is doing and why. He throws in lots of math tricks, the kind that make me scratch my head and ask myself why they never taught us that in school.

The DVD presentations are critical components of the courses although instruction manuals have briefer lesson presentations of the same material covered on the DVDs....

After the initial viewing or lesson presentation, parents and children work through lessons together for as many days as it takes for children to master the concepts. Once students have grasped a concept, they practice and do problem pages on their own with occasional assistance....

Primer will generally be the starting place for most kindergartners. The Primer level begins with essential number concepts and continues up through adding to make 10, telling time, and an introduction to subtraction. Children use manipulatives more than in upper levels of the program (and far more than in most kindergarten math programs).

There is no test booklet for the Primer level. At the early levels, you will also want to use the *Skip Counting and Addition Songs* audio CD....

*Alpha* level focuses most heavily on place value, addition, and subtraction. *Beta* level teaches regrouping for both addition and subtraction. *Gamma* primarily covers multiplication while *Delta* moves on to division. Fractions are the main topic in *Epsilon*, while *Zeta* tackles decimals and percents.

Of course, other topics are included alongside these primary themes—topics such as money, measurement, geometry, time telling, graphs, estimation, prime and composite numbers, Roman numerals, and solving for unknowns....

### High School Courses

As you move into the high school level books, students are able to work more independently. The instruction manual for each level is written to the student. Students need to watch the DVD presentation then read through the instruction manual before tackling the workbook. Workbooks include extra instruction for unusual problems, especially for some of the honors or enrichment problems, but they do not serve as complete course books on their own.

The honors exercises provide more challenging work with critical thinking, word problems, and practical applications, plus test prep practice and preparation for the math required in advanced science courses. The addition of the honors exercises largely alleviates concerns I expressed in my review in the first edition of *Top Picks* about the program's ability to challenge advanced students. Students can also move through the texts more rapidly if they master the lessons quickly.

Even at high school level, Demme presents concepts simply and clearly, avoiding dense-sounding mathematical abstractions common to so many high school textbooks. The high school courses feature many word problems and applications that make the lessons more interesting. The instruction manuals include complete answers with step-by-step solutions for all the exercises and tests, plus a glossary and an index....

*Algebra 1* does not cover as much territory as do most other first year algebra courses....Slower students should find the pace very manageable. Honors lessons will challenge brighter students, but you can always speed up by moving students through the courses more quickly....

*Math-U-See Geometry* is fairly traditional in presentation and coverage, although it is an easier course than most....

*Algebra 2* moves on to new material rather quickly (as compared to many other second year algebra courses), bringing the total of *Math-U-See's* combined algebra coverage close to that of other publishers. It introduces matrices and determinants in the honors section of the last lesson but does not get into functions at all. Students should be able to move on to either pre-calculus or trigonometry courses after completing *Algebra 2*.

*Math-U-See's PreCalculus with Trigonometry *course dedicates a significant amount of space to trigonometry as one might expect from the title....This is a straightforward, fairly traditional course.

The* Math-U-See* series culminates with *Calculus*. While Calculus teaches the content typical of other calculus courses it also includes chapters titled “Physics Applications” and “Economics Applications” that help students grasp how useful calculus can be....