On Old Books

A few weekends ago I set up a new bookcase and got to re-organize and take a bunch of books out of boxed storage and back on display in my room. One thing I came across was a very old copy of "Introductory College Algebra", 2nd Edition, by Rietz and Crathorne, copyright 1923/1933. This is something I obtained from my great-aunt, who was the head of the math department at an academy in Maine (at a time when that was very rare),and who died a few decades ago now. I actually started reading it from front-to-back this week for the first time, which seemed apropos because I'm currently teaching a winter-term course in college algebra.

The main uptake is that I'm really surprised how little has changed, how similar the work and presentation is to what we do today. That gives me a lot of confidence, actually; I'm glad to be in a discipline with "deep roots" that is stable and consistent. The presentation my be a bit more concise -- but that's kind of funny because everyone I know that's engaged in writing an in-house custom algebra text says that their goal is too write something "short, just what they need, with the extraneous parts cut out". Well, you don't get much more concise than a real math text. (Most of the theorems and presentations are all of 4 lines long at most.) One novelty I really like here is that instead of separate worked-out examples within the text, the protocol is to simply begin a block of exercises with the first few including fully worked-out solutions (which I think would clarify to the student what work we're expecting them to do; and as always you've got answers to the odd-numbered questions at the back for them to check). 

Sure, a couple pieces of terminology are just a bit different. Graphs of functions are are generally called "loci". What I've always seen as a "greatest common factor (GCF)" is herein called a "highest common factor "HCF)". And probably the single biggest difference is the claim that a statement like "x = x+1" or "0 = 1" does not count as an equation whatsoever (whereas I'd call it an equation with no solutions, i.e., an equation of the inconsistent variety).

But here's my point. Granted how relatively little has changed in this near century-old math textbook as compared to the class I teach each night right now; and granted the tremendous struggle we have these days to make good textbooks accessible and affordable to our students -- might we consider actually using out-of-copyright math textbooks as a resource? We could totally scan a brief, high-quality, public-domain text such as this and distribute it for free to anyone who wanted it. Do you think that would ever be workable?


  1. I believe you just created (re-created?) the logic/imagination path that led to ck-12, OER and Khan Academy, and if so, the answer is - Yes! And Not only yes, but "We're doing it!" and "Join in!"
    It is called Open Education or OpenEdu .. it is a ... movement is the right word .. I'm going to use Culture. It is very much like OpenSource in that Anyone can join in and add to the the whole -- and your work will be checked and rechecked and commented on and suggestions made and some will be ruthless and some will be praise. Teachers from all over the country and Canada and Mexico in in Europe (now that we have actual standards which cover a national reach) will even help with your projects and test things for you and let you know how methods are working in their environment. -- And it might be a bit disconcerting to you that someone like myself can create a lesson on writing -- who has no degree or reputable qualification other than he published a few books (Amazon, self published no less) -- but don't fear -- because like i pointed out the community is there and most of these places I have pointed out, have functions for people just like me, which call out for peer review of the lesson. -- Just like they developed software in OpenSource.

    And El Paso Texas is running on these resources - the entire city school system has saved a huge amount of money and gained text books which will never be out of date. If an error is found, it is corrected and republished within 24hrs. -- at no cost. The lessons are so high in quality, that in the traditional world private schools could not afford them. And then there is EngageNY.org which is ... wow. It is truly a parent's dream -- if that parent wants to help with the child's education and be involved.

    Welcome, and since you are a teacher, with many years of experience, you probably have some ideas - or tips- or experiences -- and I can't wait to see them.

    1. Thanks for the post! I'm definitely on board with the philosophy of open-sourcing textbooks and course materials, I really think that should be happening. Numerous times now I've done a survey of available materials or online "books", and I guess they're very close but I haven't found one yet that quite met my quality threshold.