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  1. Good Afternoon Often toted as the “1960’s” natural extension to the Dolciani series is Limits; a transition to calculus (1966) by O. Lexton Buchanan May I ask if anyone who has experience using this text could recount there experiences. I am able to find true text still available but I have been unsuccessful in finding a description or a even a Table of contents. It’s the “transition to calculus” that gives me pause and questions. Is this best classified as a “preCalculus text”? Or given the era it was published in might it be better classified as introductory calculus? Thank you.
  2. Time Left: 9 days and 21 hours

    • FOR SALE
    • USED

    Cover has slight wear, but the inside is like new. Copyright 1967. Includes Odd-Numbered Answers. California State Series.


    , California - US

  3. I'm posting this request here because of the title of her book: Pre-Algebra: An "Accelerated" Course 😀
  4. So...I thought since there are quite a few threads going now on the topic of Pre-Algebra, it might be helpful to have one master thread to discuss texts, and to link to previous conversations. (Links at the bottom) I will post a link to my blog once I get photos up, as I know some of the texts are hard to preview online (Lial's, in particular) I have received Dolciani PreAlgebra: An Accelerated Course (1985) and Lial's Pre-Algebra Third Edition in the mail this past week. I already own Lial's BCM and AoPS Pre-A. So I think I have shopped enough that I can now safely make my decision...:D Initial impressions of Dolciani and Lials: Dolciani Pre Algebra: An Accelerated Course 1985 thorough, dry, no color, few pictures/images, black text with some color fonts as headers to different sections. Problems: divided into A (basic) B (more challenging) and C (challenging) problems. Word problems are dull, but serviceable. If your child didn't have trouble with Singapore CWP, he/she won't find these too hard, certainly not in the first part of the book. Odd answers in the back of the student book. Percents Chapter has the following sections: Percent of Increase or Decrease, Discount and Markup, Commision and Profit, Percents and Proportions, Simple Interest, Compound Interest, Percents and Problem Solving. Sample Word Problem: Gilbert wants to borrow $2250 for 3 years to remodel his garage. The annual rate is 18%. If the principal and interest are to be repaid in equal monthly installments, how much will each installment be? Sample Word PRoblem 2: If a car uses 5 gallons of gas to travel 160 miles, how many gallons would the car use in traveling 96 mi Lial's Pre-Algebra, Third Edition: Thorough, more visually appealing than Dolciani. Some might say it's more visually cluttered, but I don't agree. I think the colored fonts are used well to highlight important information. Sidebars on each page provide problems that are linked directly to the text they are next to, so it's easy to pinpoint areas of weakness in your student. Word problems seem more 'real-life'. Each chapter has sub-sections outlining how to solve different sorts of problems. For example, the Percent chapter has subsections entitled: Changing Percents to Decimals by Moving the Decimal Point, Changing Decimals to Percents by Moving the Decimal Point, Wrting Percents as Fractions, Writing Decimal Percents or Fractions Percents as Fractions, Writing Fractions as Percents, Finding 100% of a Number, Finding 50% of a Number. Each explanation is clear and shows a few examples. Sample Word Problem:In the hospital pharmacy, Michiko sees that a medicine is to be given at a rate of 3.5 mg for every 50 lbs of body weight. How much medicine should be given to a patient weighing 210 pounds? As point of reference, this question shows up about halfway through the book. Sample Word Problem 2: Ms Henderson owes $1900 in taxes. She is charged a penalty of 12 1/4 % annual interest and pays the taxes and penalty after 6 months. How much does she pay? Both text have built-in review and self-tests. I think Lial's has more concrete examples, Dolciani assumes a bit more. Lials' questions seem more...interesting. With Lial's I think you'd have to be careful that your child wasn't just following the steps: the steps are so clear, that a child could potentially follow formulas rather than truly understand the concept. Throwing in some Singapore CWP 6 or AoPS Pre-A would certainly reveal that. Dolciani is more old-fashioned and perhaps less suitable to a younger child. Okay, so I have more to say, and want to talk about AoPS and BCM too, but I'm tired and I'd rather here what others have to say. Links to recent threads on Pre-A: Thread 1 Thread 2 Thread 3 Thread 4 Thread 5 Thread 6
  5. We toured a local private school today, and had the privilege of speaking with several of the teachers. I asked the algebra teacher which curriculum she used, and she picked up a classic Dolciani Algebra textbook with a publication date in the 1980's. She saw me almost pass out in rapture, and an instant kinship was formed-Math Curriculum Nerds! I thought we only existed on the forum, but I got to meet one in real life!: :hurray:
  6. My 10-year old son just finished Saxon 8/7. (Hooray!) He is going to tackle Saxon Course 3 next. After that, Algebra. We are very happy with Saxon, and will be using Saxon Algebra 1. However, I am considering supplementing the Saxon text with a second Algebra book, just to make sure he has a very strong foundation. He is young, so I see no need to rush things. We tried Art of Problem Solving a few months ago. My son disliked it. I didn't like it much either because helping him required too much of my time. I would like to try Jacobs or Dolciani, because so many people here have recommended them. Unfortunately, I cannot find an affordable copy of either book. Also, I need a solutions manual, and I cannot find an affordable version of those either. Advice?
  7. I just bought dh an early Christmas present--the Dolciani Pre-Algebra 1985/1988 Teacher's Edition. I think it will be his favorite gift of the year. Thank you for indulging my telling that bit of news. You people are the only ones I know in the whole world who can share my joy. :laugh: Anyway... Are there any pre-algebra topics either not covered well enough or entirely missing in Dolciani? Since it is such an old textbook, I am wondering if we may need to supplement it. Or else... Does anyone know of a thorough scope and sequence for Pre-Algebra which I could compare to the Dolciani table of contents? TIA, math friends.
  8. I own Dolciani's Modern Algebra Structure & Method Book 1, and Modern Algebra & Trigonometry Structure and Method Book 2, however I haven't been able to find the Teacher's Editions which, I believe, contain the answer keys. Has anyone contacted Houghton Mifflin for the answer keys and, if so, do you have the contact information? I've tried online but their 1-800 numbers don't work in Canada (where I am), and I was only able to reach an obscure department who didn't know what I was talking about. I'd appreciate any information anyone can give. I have seen some WTM threads about this topic, but they are somewhat old, so I thought I'd see if there is any new information out there. Thanks in advance!
  9. Ok, so I am in research mode for Dolciani information. I came across a 1971 version of this college text. Can anyone explain how it is different than the high school texts? Is it as good as the high school texts? Are there other college texts by Dolciani that might be of interest? I am an engineer who has had 3 courses of calculus and differential equations although by the time I would get around to teaching algebra to dd it will have been 30 years since taking high school algebra classes. How important are the teachers editions to have? Are the explanations clear enough that if you are pretty strong in math that you can get by with out it? Has any body thought about trying to get a reprinting of the 1960s or 1970's texts or know what is involved to do so and are there enough people here that would be interested in it to make it worth while? I don't know what is involved, but I do know that we have a reprint of an old Book of Concord that someone else went to the trouble to get it reprinted.
  10. After my DH and I decided to go with the older Dolciani math textbooks, I started my search for the books on-line. My 1st purchase was made on April 21, 2008, and I received my last book of the series yesterday, June 23, 2008. Here's what I ended up with: Modern Algebra Structure & Method Book 1 Teacher's Edition and Student Text with answers (1965) Modern Geometry Structure & Method Teacher's Edition and Student Text (1965) Modern School Mathematics Algebra 2 & Trigonometry Teacher's Edition and Student Text with answers (1971) Modern Introductory Analysis Teacher's Edition, Student Text, and Solution Manual (1964) I purchased most of these books from Amazon.com and Ebay. It took me 2 months to locate them, and I have a collection of other books because I didn't know what I was doing at first. Therefore, I'd like to share some helps for those of you considering this route. 1. A teacher's edition has a separate teacher's manual (usually on green paper) at the beginning of the book along with teacher notes throughout the rest of the text. In addition, the words "TEACHER'S EDITION" are printed on the spine. I've had many sellers try to pass off a text with all of the answers in the back as the teacher's edition; they are not the same. 2. The student texts come in 3 different formats: one has all of the answers in the back (this is noted on the spine as "with answers", but see #1 above); one has only the odd-numbered answers in the back (no distinguishing features); and one has no answers in the back (no distinguishing features). If you want answers in the student text, you'll need to ask the seller first because it's generally not noted in the description. 3. Look for the Teacher's Edition first and then search for the student text. This doesn't always work though. I thought I was buying the student text for Modern Intro Analysis, but it was actually the Teacher's Edition which isn't all that bad because I got it at a really good price! Also remember #1 above--even though it's labeled a teacher's edition by the seller doesn't always mean that it is. I've also found that people will list these books under the closest description available. I thought I was purchasing the Teacher's Edition for the 1970 edition of Modern Algebra Book 1. It turned out to be the coveted 1965 edition that I couldn't find. Luckily, I had the student text for both 1965 & 1970 because I was doing it backwards in the beginning. 4. When searching for these books look under the name Dolciani (and any misspellings you can think of), but also look under the name of the book you are looking for because some of the sellers don't list the author(s). 5. If you have local used book stores and library sales, be sure to check there too. We don't have many options where I live, so I chose to find my books via the internet. I did have to pay for shipping, but right now that option was generally cheaper than a gallon of gas... 6. If you think that a book is priced too much, ask the seller to consider a lower price. I purchased 2 teacher editions this way at Amazon.com. The sellers were very easy to work with, and for the most part accommodating to my requests. Some did refuse, so I looked elsewhere. "Buy it now" ebay sellers have the new "make an offer" button too. 7. Finally, the noted "condition" of these 40-year old books can be a very relative term. The Geometry books I ended up with were noted as acceptable, but I had to do a lot of work to revive the student text I ended up with. On the other hand, some of the books I ended up with were "like new" even though they were old. For the most part, they look like old math books, but they are still very usable. Don't expect a lot as far as overall condition goes, and you will sometimes be pleasantly surprised, and other times you will be happy just to have the book. I hope this helps someone who is considering this route. As a planner, I wanted to have the whole series before I started our higher level math sequence next summer. It seemed like a daunting task when I started, but I think it was well worth my effort. Take care, Beth
  11. Dolciani Experts: What is the difference between Dolciani "Pre Algebra"and "Basic Algebra" The books I'm looking at are from the 1970's and 80's. Thanks! Bean
  12. I've tried to search for it but couldn't find the link to the online version of Dolciani Pre-Algebra. Can anybody point me in the right direction?
  13. Jane in NC or someone who has done this level or understands Geometry.... We're in 6-5 Proving Corresponding Parts Equal question 31 p207 (c1962, 1965)... In the answer there are 22 steps and dd is wondering.... In general - this is a big jump from the B-level problems that have average 7-8 steps.....How do you plan for arriving at the "Prove"....ie how do you prepare the path mentally? She doesn't want to go down too many dead ends.... Ahhh - strategies? I was terrible in Geometry... Thanks for any help, Joan
  14. For those who use Dolciani for Algebra: 1. What do you like about Dolciani over other textbooks such as Foerster? Why is this your curriculum of choice? 2. Do you intentionally have a really old version? Is it that much better than the newer versions such as this in your opinion: http://www.amazon.com/Algebra-Structure-Method-Book-1/dp/0395430526 3. How hard was it to get the solutions manual, expensive? 4. Are you aware of any instructional videos which align fairly well with the text such as Khan Academy, Math without Borders, AoPS, etc..? If so have you used them with any success? I'm not talking about private tutors. 5. Do you suppliment the text with other materials? I am primarily considering Foerster coupled with Math without Borders. But it seems like there are a lot of positive comments made about Dolciani as well. So I am weighing the pros/cons of these along other top rated textbooks. Thanks,
  15. For all Dolciani math text users who have or need solutions...I'm wondering how we can work together in a legal way to amass the solutions from OOP books.... Eg. I have the Modern Algebra and Trig Structure and Method Book Two c1963, 1965 solution book. It was partially cut apart by a previous owner so it is really falling apart. Earlier I posted about Google books but no one answered. I don't really have the time to pursue it with them because you have to show traffic for the book and other stuff which I have no idea how to do. Nor would I want to part with my book for an unknown period of time and probably no one else wants to either... I am willing to scan a section of the book for the benefit of others. But I don't really have the time to scan the whole book. (Scanning seems to take forever on our machine). Would anyone else be willing to scan parts of their solution books? Does anyone have a legal "e or i-place" where we could store scans if all who have solution books would pitch in to scan portions of the OOP books? Hopefully, Joan
  16. Mary P. Dolciani co-authored several books in the Houghton Mifflin Modern Mathematics Series, starting in the 1960s, and the books were used widely. I think a sequence that could be used from grades 7 on are Pre-Algebra: An Accelerated Course (1996) by Mary P. Dolciani Modern Algebra Structure and Method (Book 1), revised ed. (1973), by Mary P. Dolciani and William Wooton Modern Algebra and Trigonometry: Structure and Method (Book 2) (1963) by Mary P. Dolciani, Simon L. Berman, and William Wooton Modern Geometry: Structure and Method (1965) by Ray C. Jurgensen, Alfred J. Donnelly, and Mary P. Dolciani Modern introductory analysis (1964), by Mary P. Dolciani, Edwin F. Beckenbach, Alfred J. Donnelly, Ray C. Jurgensen, and William Wooton A calculus book in the series, not co-authored by Dolciani, is Limits; a transition to calculus (1966) by O. Lexton Buchanan I have used the publication dates of the books I own -- there have been several editions of many of the books. I wonder what experiences have had with the Dolciani series. The books have good reviews on Amazon, and I think they are especially suitable for strong math students. The books have many problems, divided in A (basic), B (intermediate), and C (challenging) categories.
  17. What's the difference between "Modern School Mathematics Algebra I" and "Modern Algebra Structure & Method Book 1"? I bought a 1967 version of the former today and am wondering if this is the text that is so well liked or if it is the latter.
  18. I've been reading Myrtle's blog for most of the afternoon, so that may give you an idea of where my thoughts are coming from. :001_smile: I have both the 1965 (1962) and 1970 (1967) Dolciani Algebra 1 texts. The 1970 text is the one written by Dolciani and Wooton, Beckenbach, Jurgensen, Donnelly. The authors of the earlier edition are Dolciani, Berman, and Freilich. I also own an 80's edition of the algebra text. (I have been searching for teacher's editions for these books, but have not been successful yet, so I'm hanging onto these copies and not selling them at this time. ;)) After looking through them today, I notice that the 1970 edition seems to introduce proofs in more detail than the earlier edition. (I wonder if this is due to the addition of Beckenbach as an author to the text.) As a student, I remember using the red and green text (1962, most likely). However, I also remember writing many proofs through my time in Algebra I. It was required for much of the year on tests, and we had to be able to *back up* our work in this way, or receive only half credit. It was this work with proofs that helped me to sail through Geometry the next year using, most likely, the Jurgensen text. I have found a copy of the Frank B. Allen Modern Algebra, A Logical Approach. According to what I've read on Myrtle's blog, it is a very *proofy* text. That is attractive to me, and I am excited to see how it compares to the Dolciani texts I own. If you are still following me, then I thank you for your patience. :) The reason I'm posting all of this is because I would like to insert more of the *proof* type of work into our lessons with MEP. In our current structure, I illustrate the problems on the big dry-erase board. I try to make sure that as we are working through steps that I am reminding him of which property allows us to do the work in those steps. I will ask, "What property allows us to do this?" and I expect the little guy to answer appropriately. So, to make a long story short, I'd like to know if I am on the right track, so to speak, for laying the groundwork for our approach into algebra in a couple of years. We are using MEP, some of the SMSG texts, and also a Dolciani Pre-Algebra (1977) text. We are also using a1970 elementary math text series, and word problems from David Bates Towers' Intellectual Algebra at google books. One more book we are working with is the Giant Golden Book of Mathematics, by Irving Adler. Am I aiming in the right direction so far? Thanks for any thoughts you have, and also for your time in reading this long and rambling post.
  19. Will you please let me know if I have the right book? The book I received today does not have any marking that designates it as a "Teacher's Edition" anywhere in the book. It does contain the answers to even and odd numbered problems in the back. There are no teaching notes, which I would assume would be in red on the regular text. This book was sold to me as a teacher's edition, so I want to make sure this is as good as it gets before I send it back. If you have the 1962 TE for Dolciani Algebra I, is yours the same as mine?
  20. Just popping over from the K-8 board..... Is there any significant reason to choose Dolciani over Saxon for pre-algebra/ algebra? Or vice versa? Has anyone done one with one student and the other with another student? Did you see any advantages to one over the other? I'll have to outsource geometry and up, but I'm not sure where yet, if that makes a difference in choosing one over the other. Thanks in advance for any thoughts!
  21. The School Mathematics Study Group (SMSG) put out a two-year curriculum for junior high, circa 1960. Free PDFs. I came upon them this evening and had to share - enjoy :) http://static.cemseprojects.org/smsg/Math_For_Jr_High/
  22. I'm looking into getting Dolciani's Mathematics Structure and Method books, and her algebra books. Does anyone know if any version is better than the others? Thank you! Anna
  23. I have Dolciani's Modern School Mathematics Pre-Algebra from 1973 and her Pre-Algebra: An Accelerated Course from 1985 (which many of you have recommended). The 1973 one was mine and the 1985 one just arrived yesterday. 1973 begins with set theory and uses sets to explain new concepts (like input/output with functions, identifying different types of numbers - whole, integer, rational, etc). But 1985 doesn't use set theory, at all, anywhere. Other than that the books cover pretty much the same material. 1985 looks more user friendly and covers strategies for solving word problems, which I don't see featured prominently in 1973, but it may be there. I haven't read EVERY page yet. So, how important is set theory? I can't imagine teaching pre-algebra without it, but obviously it was how I learned. For those who used the 1985 book, did you supplement with set theory? Does today's math just skip it altogether? I'm conflicted about which book to use. I would be okay supplementing one with the other, but I'd like to pick one to be the main text I use. Any input from the Dolciani fan club here would be greatly appreciated.
  24. Silly me. I thought that the trig portion of the Dolciani Algebra II/Trig text that my son is currently using would be the same as the Dolciani Modern Trigonometry text that I picked up at a library book sale last spring. (My new hobby is collecting old Dolciani texts on the cheap.) Imagine when I pulled the latter off the shelf and saw the name Bechenbach on the cover. Understand that the Dolciani/Bechenbach collaboration on Modern Introductory Analysis created a stellar high school math text that I used in the mid '70's. So my curiosity was piqued. This 1966 text begins where every old Dolciani text does: with sets and axioms. The trig begins in Chapter 2. I have taught trig from what seems to be a countless number of precalc texts. The subject usually begins with a discussion of radians, then defines the trig functions essentially as relationships of sides of the triangle in the four quadrants of the plane. Not this book. Chapter 2, entitled Circular Functions, begins with periodic functions. In the A portion of the first problem set students graph and determine the periodicity of things like f(x) = 2(x - [x]), where the bracket denotes the greatest integer function. The B sections contains proofs on periodic functions. And so it goes. There is no special chapter on proving trig identities. The proofs are throughout the book. Applications on things like uniform circular motion and simple harmonic motion are not lacking. But it gets even better. Chapter 6 is on vectors. Within the first section the idea of a commutative group is introduced, as well as a vector space. The engineering mathematics of vector applications to forces is all there but to arrive at it one must first work through theoretical material on inner products. Of course, finding this old text may be a challenge but there are copies floating around the Internet. This is obviously not going to be everyone's idea of a great trig text. But it looks like a wonderful book for someone who wants to treat trig as something other than a bunch of algorithms that you memorize, regurgitate and promptly forget after the test (which I am afraid is how many trig books treat the subject!) My son will start using this book next week, once he wraps up his logarithm material in Dolciani's Algebra II/Trig. Note: odd answers are in the back, but not any graphs. A solutions manual may be impossible to find! If anyone is interested in how it goes, I'll be happy to keep you posted either on this board or via a private message. Jane
  25. between a 1962 and 1965 text? I've previewed a newer text but would really love to get my hands on one of these older ones! Thanks~
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