Date sent: Thu, 09 Oct 1997 19:03:23 -0400 To: joaneb001@aol.com From: Fred Battey Subject: Re: Action: Needs Help: Chicago Math #1 >X-POP3-Rcpt: fredb001@blue >Return-Path: >from: Redyarrow >Date: Thu, 9 Oct 1997 17:13:03 EDT >To: education-consumers@tricon.net >Subject: Re: Action: Needs Help: Chicago Math #1 >Organization: AOL (http://www.aol.com) >Mailer: Inet_Mail_Out [IMO_0_8] >Sender: owner-education-consumers@tricon.net > >I was delighted to see that the Mathematically Correct web site put up my U of >C math analysis. Those of you have been in this group for awhile have seen my >U of C math articles, but I'll resend them for anyone who hasn't. I have sat >in between 20 - 30 U of C math classes and have never yet seen one in which >children were not unduly frustrated. Mary > >I am a college instructor in a special education department and also a mom of >two children. I used them as guinea pigs this summer and we worked out of >Saxon's MAth 87 book for an hour for five days a week. Although my children >(a fifth grader who is a whiz at math and a 7th grader who would have been >considered LD in math, but has caught up to his age peers) initially protested >and complained about doing problems they already knew how to do, they both >ended up liking the program and thanking me profusely when they went back to >school. My son who has always had difficulty with math was computing averages >and problems in his head without pen and paper and amazing his friends who >couldn't do it. When they protested at first at doing some of the work, I >had to explain to my kids that until you have done something repeatedly, it >will not be in your long term memory. Clearly all that repeated practice had >led to a fluency that would not have otherwise developed. >My children's Montessori teacher was so impressed by their work the first week >back in school that she agreed to continue them in the book for the first few >months so that she could see how she liked the program. I'm lucky she’s so >flexible. By October she liked Saxon so much that she decided to use it with >the entire class next year. Anyway, here's three of the most concise things >on these two math curricula that I have posted to the Internet: > >#1. Letter my next door neighbor ( stay at home mom with an MBA) wrote to >the school superintendent: > >I live in a midwestern suburb where the school district adopted Everyday >Math for the 1994-1995 school year in grades K-3. In 1995-1996 the >program was adopted for 4th and 5th grades. My daughter finished third >grade with two years in Everyday Math. I was left to wonder if she >learned anything. The only area in which my daughter had any proficiency >after two years was in her knowledge of the basic facts. I attribute this >success to our efforts here at home since the basic facts are not stressed >with the Everyday Math program. >After spending months reading on this subject I now understand the NCTM >standards and objectives. Perhaps for naturally talented math students >these constructivist, spiral-designed programs work, but I have witnessed >first hand how such programs confound and confuse average and even bright >students. Abstract concepts and higher levels of math thinking take a >front seat to basic skills. These basic skills then become incidental to >the learning process. For example, in second grade kids leap from trying >to understand the idea of frames and arrows for addition and subtraction >to the application of this concept with three digit numbers. Children don >t even have a chance to get comfortable with the frames and arrows >process. Most of the children hadn t even mastered the addition and >subtraction facts. The net result is a continuous waste of precious >classroom time on concepts that are not mastered. Everyday Math may have >a function as an enrichment program once students have mastered more >elementary levels of thinking. >One of the arguments I have heard to counter such objections is that few >people master something on the first attempt. While this is true, few >people master anything when the approach is haphazard. I can t think of >any subject or area where a haphazard approach is effective. Math must be >practiced for mastery. I certainly gave Everyday Math a fair shot with my >daughter and in hindsight allowed too much time for some indication of >success. >The intention in Everyday Math is for the student to have fun, to think >math, to discuss math etc. Well, my daughter did think about math and >found it utterly confusing. Fun was not the experience she had. My >daughter s thinking was so muddled by the end of that second year that she >was unable to reason through any word problems and did not understand the >simplest concepts outside of the basic facts. Programs such as Everyday >Math tout that kids will find their own way. Many do not, or they find >some erroneous method of problem solution. For instance, my daughter >spent 3/4 of the year subtracting numbers (where regrouping was necessary) >incorrectly. She found her own way to do it, and it was wrong. The >journal used for in-class work never comes home so the parent has no >indication as to whether the child understands the material. I became >concerned when my daughter didn t have a clue about how to do anything >despite assurances from her teacher to the contrary. Imagine my surprise >when I inspected this journal only to find out that not one mistake was >corrected. This journal/workbook comprised the majority of the child s >math work. When I pursued the matter I was informed that children need to >learn in a risk-free environment and that we adults are too hung up on >right and wrong answers. I have yet to find one benefit for my daughter >under such philosophical musings. >I must say I find some of the dynamics of using these NCTM-based programs >fascinating. Teachers scramble to supplement these new programs with >lessons that were deliberately left out. For example, in my district some >of the 5th grade teachers had to use the old program to teach fractions. >In third grade a few teachers admitted that Everyday Math was weak in >subtraction. Including a year as a pilot program, Everyday Math has been >in place for three years. The bugs should have been discovered and worked >out during the pilot year. Instead, many of us were left with children >who were less than numerate. Not only do I find these programs illogical, >I believe using them is irresponsible. >If our goal in this country is to produce the world s top math students by >the year 2000 we had all best prepare for a disappointment. If new math >can t produce complete success in suburban schools with superior >facilities and teaching environments then how can success be achieved >nationwide? Visions are all very nice but reality hit me each night as I >sat down to tackle a Homelink with my daughter. Reality was a very >confused young child. >Earlier this summer I began teaching my daughter using Saxon Math (third >grade). The change in her has been dramatic. She now thinks in a logical >manner, tackles word problems with ease and has a real understanding of >the number system and number relationships. My daughter also approaches >math with an enthusiastic attitude and loves to do her daily lessons. I >emphatically disagree that Saxon is drill-and-kill. This is a beautifully >designed program where learning is incremental. Success is assured. The >program weaves review into every single lesson. >In one of the dialogues a parent wrote that s/he wouldn t want to subject >the child to Saxon because this parent wanted the child to love math. My >experience is that after only three weeks using Saxon my daughter began to >love math. She now likes to flip through her brother s middle school Saxon >book to see what problems she can do from his lessons. I would say that >there has been enormous growth in her confidence level. Judging from the >number of classmates who are being tutored this summer, my daughter was >just one of countless lost children. I believe there is a balance between >the traditional math programs that stressed computation and the insanity >of the NCTM-based programs. I recommend the Saxon Math system. Even my >middle school student has benefitted from working with this program and >math has always been a breeze for him. I will use this program with both >children through high school. My only regret is that I did not find this >series sooner. >I don t have the insight of a mathematician or of the academics who >argue about the pros and cons of types of math instruction. I am simply >a logical person who sees serious flaws in educational programs that >expect kids to figure out critical concepts in math and other subjects >where constructivist theory has been applied. Remember, these same >children must be reminded daily to brush their teeth! We expect them to >learn crucial skills on their own? Let us all be a bit more realistic. >Teaching is the easiest and fastest way to learn something- and the least >frustrating. It would cost me $600 per month with a tutor to duplicate >what I do at home with my daughter using Saxon Math. My total outlay for >two years worth of materials came to less than $150 and the results are >impressive. I wish everyone with the power to make decisions would put >aside their philosophical imperatives and make decisions based on common >sense. > >#2. A previous usenet piece I posted to a group: >I initially became active in raising concerns about my local public >schools when the district adopted the University of Chicago Everyday >Mathematics program. When two other parents and myself met with the local >school superintendent this spring to express our concerns, I asked him why >the district had chosen to sink so much of our time, money and resources >into a highly experimental math program like the U of Chicago program when >there was no research to substantiate its effectiveness. Besides being a >parent I am also a college instructor in a special education teacher >training program. I had not been able to unearth one shred of evidence >(research) to support the effectiveness of any of the new fuzzy math >programs based on the process approach. My observation of this approach in >classrooms has been disturbing, since much of the time only 20 - 30 % of >the students in a class seem able to complete a day s assignment. I see >lots of cooperative group copying. When the superintendent assured me that >the district s decision to adopt this math curriculum was based on >rigorous research, I asked him to send me the information. >To my surprise, I received a snazzy packet entitled Perspectives of >Everyday Mathematics: Student Performance Data. I quickly dismissed all >the pages of anecdotal teachers commentary about how much they liked the >program - which sometimes contained grammatical errors. Despite my >background as a college instructor, former special ed school principal, >and someone who can easily (but very nicely) intimidate your typical >school district superintendent when the need arises, when it came time to >look at the 5 so-called studies contained within this document, I found >critiquing research to be a daunting, intimidating task. My first approach >was to use the Internet and ask members of the educational groups in which > I participate if any of them had looked at this research and done any >analysis. Although no one responded with offers of help I received several >requests for any related information from parents trying to stave off the >U of C math in their district. Armed with Bonnie Grossen s article written >for the AFT , A Teacher s Guide for Reading Research , my old statistics >and research textbooks, a few contemporary articles on how easily poor >research can fool the average person, and the U of C report, I went to >work. Fortunately, a friend suggested that I contact a retired education >professor who had written a book on research and seemed a bit bored in his >retirement. This wonderful soul spent a few hours with the data report and >jotted down his observations. Not only did he agree with all my commentary >in a more organized fashion than I had been able to eke out, but he found >all sorts of other areas of concern within the reports. >Next time I want to take this what basis do you have for spending this >money! approach, it will be easier and I ll have more confidence in >looking for these same research concerns. Since our district already has >this math albatross, I plan on lying low and simply sending this report to >the superintendent and board members. Our local group feels that we ll be >more effective in fighting the district when they push for adopting the U >of C math program at the high school level if we go public with these >findings at that time (unfortunately, that will probably be this spring). >Analysis of studies detailed in the booklet: Perspectives of Everyday >Mathematics : (University of Chicago Math Program) Student Performance >Data >STUDY #1: Northwestern University Study > researcher: Karen Fuson > group studied: First graders (20 classes using >Everyday Mathematics program) >1. This study has a serious SELECTION problem and can not be considered a >credible research design. Because no information is given concerning the >20 classes of first graders using Everyday Mathematics, the test score >differences could be attributed to preexisting differences in prior math >achievement, intelligence, motivation, social class, parental involvement, >etc. We have no way of knowing. When the authors talk about the comparison >classrooms using traditional math , they provide no information about >what texts are used in these classrooms. It appears that traditional math > means any math other than Everyday Mathematics. >2. This study has a serious HISTORY problem. The reported differences >could be due to the Everyday Mathematics classes spending more time on >mathematics, having more money spent on instructional materials, having >better trained teachers. Because these variables have not been addressed, >we have no way of knowing. >3. This study easily could have an INSTRUMENTATION problem. This would >occur if some of the same test questions on the final assessment >instrument were items where Everyday Mathematics students would be >expected to perform better than other students, and questions not used >were ones where we would expect other students to do better than the >Everyday Mathematics students. Without information on the selection of the >final assessment, we have no way of knowing. No information on the >reliability or validity of the AERA-Stigler quest final assessment >instrument has been given. >4. No test of statistical significance was ever made. Any differences >between the performance of students in these two groups could just as >easily be a result of chance. >STUDY #2: University of Chicago School Mathematics Project > researcher: William Carroll > group studied: students in fourth grade who had >completed the K-3rd grade Everyday Mathematics program >1. This study has a serious SELECTION problem and can not be considered a >credible research design. Because no information is given concerning the >20 classes of first graders using Everyday Mathematics, the test score >differences could be attributed to preexisting differences in prior math >achievement, intelligence, motivation, social class, parental involvement, >etc. We have no way of knowing. In addition, there is a another SELECTION >problem so we do not know about the 11 classes selected for the final >performance based assessment. When the authors talk about the comparison >classrooms using traditional math , they provide no information about >what texts are used in these classrooms. >2. This study easily could have an INSTRUMENTATION problem. This would >occur if some of the same test questions on the final assessment >instrument were items where Everyday Mathematics students would be >expected to perform better than other students, and questions not used >were ones where we would expect other students to do better than the >Everyday Mathematics students. Without information on the selection of the >final assessment, we have no way of knowing. No information on >reliability is provided for either the 7 selected test items or the 16 >selected items. >3. More information is needed to convince a reader that the 4 schools >selected from the 7 would be expected to score about the same as the >national average than the one sentence used by the author of this study to >substantiate this claim; ..one rural, one urban, and two small-city with >a sizable low-income population and with ethnic and racial diversity. >Information showing how the scores of these students in other subjects >compare with the national averages in those subject areas would provide >some substantiation for this claim. >4. No test of statistical significance was ever made. Any differences >between the performance of students in these two groups could just as >easily be a result of chance. >STUDY #3: Silver Ridge Elementary School > researcher: John Woodward > group studied: third graders who had used the >Everyday Mathematics program since kindergarten >1. This study has more credibility than the first two studies because >reliability is reported and statistical tests are used. In fact, this is >the only credible research design presented. The use of a pretest-post >test design mitigates selection problems. However, since Silver Ridge >students started at the 71st percentile on ITBS whereas the comparison >group started at the 58th percentile, one would expect them to show >greater gains on the TOPS which unlike the ITBS is not grade level normed. >It is interesting to note that on the ITBS raw scores, Silver >Ridge had higher pre treatment means on all three subtests and therefore >would be expected to show greater gains on all subtests. However, the >comparison group made greater gains on two of the three subtests! What can >this mean about the effectiveness or ineffectiveness of the Everyday >Mathematics program? >2. This study could have a serious HISTORY problem. Perhaps while Silver >Ridge was very concerned about math, the comparison school was more >concerned with reading. Several teachers report spending more time on >Everyday Mathematics. This is a serious history problem as any improvement >in achievement could be due to increased time spent on math in the >Everyday Mathematics classes. Because these variables have not been >addressed, we have no way of knowing. >3. The graph on pages 23 and 24 are meaningless, because with a >non-random comparison group, differences in gain scores may be due to any >number of variables. >STUDIES #4 and #5: Barrington and Indiana Areas > Barrington researcher: Herb Price > Barr. group studied: third and fourth >graders > Indiana researcher: Walter Kealey > Indiana group studied: second graders >1. Because both of these small studies are one group pre treatment - post >treatment studies, HISTORY is a problem. It could be that between the pre >and post tests the Barrington or Indiana schools became more interested in >math, spent more time and money on it, or provided more training to their >teachers. The improvement in the student s achievement test scores could >just as easily be a reflection of this. We have no way of knowing. >End of Analysis > >I would advise all parents of children in the elementary level U of C programs >you go to school and look at their children's "journals" that accompany the >math >program at least once a month. The home links that they will receive at >home will not provide enough information to tell you what a child is >doing during the school day. Two friends of mine had to hijack the >journals from their children's classes (the teacher wouldn't let them >leave the room) and xerox them in an overnight copy center. When they >looked at the journals, they realized that their third graders had been >incorrectly adding with all carrying problems and raised this concern with >the teacher. She replied that it was important for the children to work >out their own strategy independently and that if they didn't get it during >this spiral, they would during the next one. My friends who were apalled >to realize that it was Spring and their children had learned nothing in >math all year now have their children on a waiting list at a private >school (All the private schools in this suburb have had long waiting lists >for the past two years.) They dearly wish that they had made more school >visits and studied those journals. Right now they are madly tutoring their >children in morning in third grade math. > > >EDUCATION CONSUMERS CLEARINGHOUSE > >