## The New Shormann Math vs. Saxon Math and Common Core

**Summary**: If mathematics is the language of science, then fluency should be the goal, which means the traditional “layer cake” approach to 3 years of high school math (Algebra 1, Geometry, Algebra 2) is probably not the best approach. The shapers of Common Core’s math standards realized this, and now states that adopt their standards can choose between two high school “pathways”, either the layer cake or integrated approach, where students learn algebra and geometry together. John Saxon* actually pioneered the integrated approach in the United States back in the 1980’s, but his integrated approach was only one small part of his textbooks’ successes. His method of “incremental development with continual review,” combined with a constant encouragement for students to learn by doing, were the keys. Shormann Math builds on John Saxon’s efforts to really teach math like the language of science that it is, by not just connecting students to their world, but, more importantly, to their Creator. In doing so, students learn to wisely mingle concepts like science and Scripture, faith and reason. Doing so makes it easier to learn subjects like calculus, which really does require a faith commitment in order to make sense of it. Because of its obvious connections to God’s attributes, secular calculus courses steer clear of this, and in so doing make it much more difficult to learn. Shormann Math will change that.

*John Saxon passed away in 1996, and the company he founded, Saxon Publishers, is now owned by Houghton-Mifflin/Harcourt. They have since created some Saxon-in-name-only Algebra 1, 2, and Geometry textbooks. Click here to read our review of the new books and to learn why we don’t recommend them.

### The 10 Major Topics of Shormann Math

Measurement is a topic that is a natural part of any math course seeking to teach math as the language of science. That it’s missing from three years of Common Core high school math is a huge problem. As a science class and lab teaching assistant during graduate school, one of the biggest math-related struggles I remember was students’ inability to convert from one unit to another. And it’s not just Common Core, most government school standards are weak in teaching measurement-related topics.

All Shormann Math high school courses will keep students fresh with working with measurements. Computers are also a very real part of every students’ world, so knowing about some of the mathematics behind them should be a priority. And, as mentioned in the Summary above, calculus becomes a normal part of high school math when one of the priorities is to connect students to their Creator.

### Foundations and Pedagogy

As Euclid famously said centuries ago, there is no royal road to learning. However, some methods are definitely better than others, and the Common Core’s integrated pathway (click here to read an Education Week review) is definitely a step in the right direction. However, the integrated approach has it’s own challenges. To really teach math like the active, hands-on language of science that it is, you have to teach it like languages are taught, or sports, or instruments, etc. You teach students a little bit about something, give them time to practice it, and then build on it. John Saxon called this “incremental development with continual review,” which is missing from Common Core.

Also missing from Common Core is the importance of math history. Understanding why they are learning the different math topics makes math more relevant to students. Learning some things about the people behind the math concepts they are learning, as well as some of the great, and not-so-great things they did, makes math more meaningful. And the connection to history also shines a bright light on the rich Christian heritage of mathematics, especially regarding algebra and calculus. Showing students how God’s attributes are clearly revealed in mathematics can make a huge difference in their comprehension and success in the course.

Shormann Math’s emphasis on math history means that, in developing the course, I dove deep into the classic works of Euclid, Newton, Euler, etc. Rather than reinventing the wheel, this study of the classics allowed me to develop a curriculum that stands on the shoulders of giants (a phrase often attributed to Isaac Newton). It should be a huge confidence-booster to parent and student alike to know your course is built on time-tested and proven methods for learning math.

### What 3 Years of Math Covers

By focusing on what matters most, Shormann Math does more in 3 years than either Common Core or Saxon. In the first two years, Shormann Math covers all the concepts presented on the SAT (the new 2016 version), the ACT, and both the CLEP College Algebra and CLEP College Math exam. A full credit of geometry is integrated into the first two years as well. This is different from John Saxon-authored texts, which include the geometry credit in years 2 and 3 (Algebra 2 and the first 1/3 of Advanced Math). And before you think Shormann Math couldn’t possibly have enough geometry, consider that we will cover all the standards, like perimeter/area/volume, similarity and congruence, circle and triangle theorems, and proofs. In addition, we will show students how the proof technique is not some isolated subject you only learn in geometry class, which is what most students, and parents, think it is. We’ll introduce students to proofs by studying the master, Euclid, covering several of his propositions. We’ll do the standard triangle proofs and circle proofs, but will also apply proof technique in other topics like algebra. And students will learn how proof is used in the real world. They’ll even learn how geometry is used in art and architecture. And on top of all that, we’ll introduce non-Euclidean geometry in Algebra 2, diving deeper in Precalculus. We’ll also use CAD programs like Geometer’s Sketchpad to complete proofs and more.

Finally, Shormann Math will introduce calculus fundamentals. By year 3 (precalculus), Shormann Math students will be very comfortable finding limits, and will have a solid grasp of derivatives and integrals. We hope all students will continue on to Shormann Calculus, but if not, they will be more than ready for college-level calculus. Of all the courses in college, calculus is the subject that opens the door to virtually every college major, or if the student cannot pass the class, closes the door on about 80% of majors. The first three years of Shormann Math will give students the confidence they need to take college calculus, and be at a level to help their peers learn it, which can also open up opportunities to build relationships and share the gospel. And completing 4 years of Shormann Math will allow students to possibly prepare for and pass either the CLEP or AP Calculus exam, receiving college credit for their efforts.

### But Saxon + DIVE Lectures do a lot of this already. Why make a new curriculum?

There are many reasons, here are a few:

- We can build the curriculum on a Christian and historical foundation, rather than bringing these fundamentals in from the side, like we do with the DIVE Lectures that teach Saxon Math.
- The one topic John Saxon didn’t integrate was calculus. We think it just might be the most important topic to integrate, and our current Shormann Math students are proving Algebra 1-level students can learn some calculus fundamentals!
- We don’t know how long Houghton Mifflin/Harcourt will continue to sell John Saxon-authored textbooks.
- We can take advantage of 21st Century technology and e-learning to provide more efficient and effective learning. Our self-paced e-learning format includes many powerful learning tools, including video lectures and video solutions to homework, all for about the same price as the Saxon home study kits. The following table lists some detailed differences between Shormann Math and Saxon Math.

### What is the prerequisite for Shormann Math Algebra 1?

Students who have successfully completed a standard pre-algebra course, including either Saxon 8/7 or Saxon Algebra Half, are ready for Shormann Math Algebra 1.

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Do you have any questions? Feel free to leave a comment!

Click here for a detailed description of Shormann Math, including sample video lectures and pricing information.

**Explore posts in the same categories:**Teaching Mathematics

**Tags:** Algebra 1, calculus, Christian foundation, David Shormann, DIVE, diveintomath.com, eternity, geometry, incremental development with continual review, integrated math, Shormann Math, Shormann Math vs Common Core, Shormann Math vs Saxon Math

April 21, 2015 at 5:11 pm

I’m very interested, but my daughter is working on Saxon Algebra 1 this year. I am guessing I would not be able to change to Shormann for next year because she would have missed the Geometry aspect of Shormann Algebra 1, is that correct? As a follow-up – if she did Saxon Geometry (or some other Geometry) next year, I would guess she really couldn’t do Shormann Algebra 2 the following year because she would have done so much Geometry already and there would be a lot of review in Shormann Algebra 2, correct? (although review is probably great for her as she is not a strong math student at all).

April 21, 2015 at 7:50 pm

Hi Kris,

That’s a good question! The first 25 lessons (first quarter) of each Shormann Math course are a review plus introduction to the foundational concepts that will be covered in that course. I’m assuming not everyone will have completed Shormann Algebra 1, so in Algebra 2 there will be appropriate geometry review, including links to key lessons from the Algebra 1 course for students who need extra review and practice. And because Shormann Math is integrated, students will still be covering a lot of geometry in the precalculus course.

If you switch to Shormann Math for Algebra 2, what you’ll want to be looking for is mastery of the concepts (and I can help you assess that if you want). If you feel that your daughter has mastered all the geometry concepts, then give her a geometry credit at the end of Shormann Algebra 2. Otherwise, wait until she is halfway through the Precalculus course, after which time she will have had more than enough geometry.

Regarding Saxon Geometry, we only recommend that book for students who did a “layer cake” algebra 1 and 2 with another curriculum besides Shormann or Saxon, and therefore have had no geometry at all. I definitely think she should do Shormann Math instead, as the Saxon Geometry has a lot of extra “fluff” in it, and is also missing some very basic things, like who Euclid was and the importance of what he did (they have 1 sentence on him in a 904 page book!). I hope that answers your questions!

God bless,

David Shormann

April 21, 2015 at 6:27 pm

will you be changing how you do advanced math for the upcoming school year? The changes sound positive for algebra 2

April 21, 2015 at 7:18 pm

Hi Denise,

I’m assuming you are asking about the live online classes? If so, then no, we are using Saxon Advanced Math for 2015-16. We will use Shormann Math Precalculus in 2016-17. More info about the live online classes can be found here: http://www.diveintomath.com/live-online-math-classes/

God bless,

David Shormann

April 22, 2015 at 6:52 am

Will Shormann Math have a physical textbook at all? Or is the entire course computer-based?

April 22, 2015 at 8:46 am

Hello,

Right now, it won’t have a textbook, although the Reading Assignments are basically a pdf version of the textbook. One of the main reasons we don’t have a textbook is because math is best learned by an active, pencil and paper approach, where note-taking and showing work on homework are essential. The main times the student refers to the reading assignment is to read over any new rules or definitions prior to watching a lecture, and then later if they need to review a concept.

God bless,

David Shormann

April 22, 2015 at 9:22 am

Thanks so much! So the problems they work out are on the computer screen only?

How does the automated grading work when it comes to showing their work on the problems?

April 22, 2015 at 10:54 am

Hello,

The best way to think about it is that they ANSWER their questions on the e-learning campus. They SOLVE their problems using pencil and paper. There are two ways to keep up with the student’s handwritten work, 1) parent/teacher does this and assigns a completion grade for this work, or 2) enroll them in our live online class, and I will keep up with it.

You might also want to watch our Getting Started video, which is the first thing new students watch to see how the course is set up and to learn how to use it. You can find that video, and sample lectures plus reading assignments, here: http://www.diveintomath.com/elearning-course-for-shormann-algebra-1-with-integrated-geometry/

God bless,

David Shormann

April 22, 2015 at 11:04 am

Thank you! I was having trouble wrapping my brain around how it works. This helps! 🙂

Oh! I thought of another question…will you continue to support DIVE with Saxon? Or will you be transitioning over to only support Shormann Math?

April 22, 2015 at 11:37 am

We’ll definitely continue supporting DIVE/Saxon.

April 29, 2015 at 10:20 pm

I am interested in this for our son. He is 15 and in 9th grade. He has done Teaching Textbooks since 5th grade and is doing their Algebra 1 now. Would it be alright for him to do your Algebra 1 next year?

Thank you.

April 29, 2015 at 11:47 pm

Hi Annette,

Yes, he could actually start Shormann Algebra 1 now. The way the course is designed, we assume people will join from non-Saxon curricula, and therefore probably haven’t covered as big a variety of topics as Saxon students have. The entire first quarter (25 lessons) introduces all the major concepts covered in the rest of the course. For a Teaching Textbooks student, I would say probably 50%+ of the first quarter is going to be review. And, if he’s already doing TT Algebra 1, some of the Shormann Alg. 1 lessons past Lesson 25 will also be review. I hope that helps answer your question!

God bless,

Dr. Shormann