Analysis of Connected Math and Core Plus Textbooks

A reader deep into math issues emailed these two reviews of curriculum currently used within the Madison School District: Connected Math (Middle School); R. James Milgram: The philosophy used throughout the program is that the students should entirely construct their own knowledge and that calculators are to always be available for calculation. This means thatstandard … Continue reading Analysis of Connected Math and Core Plus Textbooks

Madison Superintendent Search Commentary; Groundhog Day, in some ways

Negassi Tesfamichael: “I think the most important quality we are looking for in an interim superintendent is stability,” School Board member Cris Carusi said. “I don’t think it really matters as much if it’s an internal or external candidate … we’re going to want someone who can provide stability.” Carusi noted that she hopes the … Continue reading Madison Superintendent Search Commentary; Groundhog Day, in some ways

Tyrany of Low Expectations: Will lowered test scores bring about broader change in Madison schools?

Chris Rickert via several kind readers:

Wisconsin has a “long way to go in all our racial/ethnic groups,” said Adam Gamoran, director of the Wisconsin Center for Education Research at UW-Madison.
My hope is that, given Wisconsin’s overwhelmingly white population, proficiency problems among white students will spur more people to push for policies inside and outside of school that help children — all children — learn.
“I hate to look at it that way, but I think you’re absolutely right,” said Kaleem Caire, president and CEO of the Urban League of Greater Madison. “The low performance of white students in our state may just lead to the type and level of change that’s necessary in public education for black and other students of color to succeed as well.”
Indeed, Gamoran said Massachusetts’ implementation of an evaluation system similar to the one Wisconsin is adopting now has been correlated with gains in reading and math proficiency and a narrowing of the racial achievement gap in math. But he emphasized that student achievement is more than just the schools’ responsibility.
Madison has known for a while that its schools are not meeting the needs of too many students of color.

The issue of low expectations and reduced academic standards is not a new one. A few worthwhile, related links:

A $30 Million Puzzle ‘Solution’? What We Have Here Is a Failure to Communicate

Like many citizens, journalists, and some of my fellow board members, I have been struggling to make sense of the projected $30 million budget or tax gap. Like others who have tried to understand how we got to the number “$30,” I have tried several approaches to see if I could come to the same … Continue reading A $30 Million Puzzle ‘Solution’? What We Have Here Is a Failure to Communicate

Response to the Madison School District’s Math Task Force Recommendations

To: comment@madison.k12.wi.us
Cc: askey@math.wisc.edu
There are a number of points in the Summary of Administrative Response to MMSD Mathematics Task Force Recommendations which should be made. As a mathematician, let me just comment on comments on Recommendation 11. There are other comments which could be made, but I have a limited amount of time at present.
The first question I have is in the first paragraph. “One aspect of the balanced approach is represented in the four block approach to structuring mathematics lessons. The four blocks include Problem Solving, Number Work, Fluency and Maintenance and Inspecting Equations.” There is a missing comma, since it is not clear whether Maintenance goes with the previous word or the last two. However, in either case, “Inspecting Equations” is a strange phrase to use. I am not sure what it means, and when a mathematician who has read extensively in school mathematics does not understand a phrase, something is wrong. You might ask Brian Sniff, who seems to have written this report based on one comment he made at the Monday meeting, what he means by this.
In the next paragraph, there are the following statements about the math program used in MMSD. “The new edition [of Connected Math Project] includes a greater emphasis on practice problems similar to those in traditional middle and high school textbooks. The new edition still remains focused on problem-centered instruction that promotes deep conceptual understanding.” First, I dislike inflated language. It usually is an illustration of a lack of knowledge. We cannot hope for “deep conceptual understanding”, in school mathematics, and Connected Math falls far short of what we want students to learn and understand in many ways. There are many examples which could be given and a few are mentioned in a letter I sent to the chair of a committee which gave an award to two of the developers of Connected Mathematics Project. Much of my letter to Phil Daro is given below.
The final paragraph for Recommendation 11 deals with high school mathematics. When asked about the state standards, Brian Sniff remarked that they were being rewritten, but that the changes seem to be minimal. He is on the high school rewrite committee, and I hope he is incorrect about the changes since significant changes should be made. We now have a serious report from the National Mathematics Advisory Panel which was asked to report on algebra. In addition to comments on what is needed to prepare students for algebra, which should have an impact on both elementary and middle school mathematics, there is a good description of what algebra in high school should contain. Some of the books used in MMSD do not have the needed algebra. In addition, the National Council of Teachers of Mathematics has published Curriculum Focal Points for grades PK-8 which should be used for further details in these grades. Neither of these reports was mentioned in the response you were sent.

Madison Math Task Force Public Session Wednesday Evening 1/14/2009

The public is invited to attend the Cherokee Middle School PTO’s meeting this Wednesday, January 14, 2009. The Madison School District will present it’s recent Math Task Force findings at 7:00p.m. in the Library.
Cherokee Middle School
4301 Cherokee Dr
Madison, WI 53711
(608) 204-1240

Notes, audio and links from a recent meeting can be found here.
A few notes from Wednesday evening’s meeting:

  • A participant asked why the report focused on Middle Schools. The impetus behind the effort was the ongoing controversy over the Madison School District’s use of Connected Math.
  • Madison’s math coordinator, Brian Sniff, mentioned that the District sought a “neutral group, people not very vocal one end or the other”. Terry Millar, while not officially part of the task force, has been very involved in the District’s use of reform math programs (Connected Math) for a number of years and was present at the meeting. The 2003, $200,000 SCALE (System-Wide Change for All Learners and Educators” (Award # EHR-0227016 (Clusty Search), CFDA # 47.076 (Clusty Search)), from the National Science Foundation) agreement between the UW School of Education (Wisconsin Center for Education Research) names Terry as the principal investigator [340K PDF]. The SCALE project has continued each year, since 2003. Interestingly, the 2008 SCALE agreement ([315K PDF] page 6) references the controversial “standards based report cards” as a deliverable by June, 2008, small learning communities (page 3) and “Science Standards Based Differentiated Assessments for Connected Math” (page 6). The document also references a budget increase to $812,336. (additional SCALE agreements, subsequent to 2003: two, three, four)
  • Task force member Dr. Mitchell Nathan is Director of AWAKEN [1.1MB PDF]:

    Agreement for Releasing Data and Conducting Research for
    AWAKEN Project in Madison Metropolitan School District
    The Aligning Educational Experiences with Ways of Knowing Engineering (AWAKEN) Project (NSF giant #EEC-0648267 (Clusty search)) aims to contribute to the long-term goal of fostering a larger, more diverse and more able pool of engineers in the United States. We propose to do so by looking at engineering education as a system or continuous developmental experience from secondary education through professional practice….
    In collaboration with the Madison Metropolitan School District (MMSD), AWAKEN researchers from the Wisconsin Center for Educational Research (WCER) will study and report on science, mathematics, and Career and Technical Education (specifically Project Lead The Way) curricula in the district.

  • Task force member David Griffeath, a UW-Madison math professor provided $6,000 worth of consulting services to the District.
  • Former Madison Superintendent Art Rainwater is now working in the UW-Madison School of Education. He appointed (and the board approved) the members of the Math Task Force.

Madison School Board Vice President Lucy Mathiak recently said that the “conversation about math is far from over”. It will be interesting to see how this plays out.
I am particularly interested in what the ties between the UW-Madison School of Education and the Madison School District mean for the upcoming “Strategic Planning Process” [49K PDF]. The presence of the term “standards based report cards” and “small learning communities” within one of the SCALE agreements makes me wonder who is actually driving the District. In other words, are the grants driving decision making?
Finally, it is worth reviewing the audio, notes and links from the 2005 Math Forum, including UW-Madison math professor emeritus Dick Askey’s look at the School District’s data.
Related: The Politics of K-12 Math and Academic Rigor.

Madison Math Task Force Minutes

March 7, 2008 Meeting [rtf / pdf]. Well worth reading for those interested in the use of Connected Math and Core Plus, among others, in our schools.
A few interesting items:

  • Mitchell Nathan proposed a change to the name of the Work Group to more authentically describe its intent. There was consensus to accept the change in designation for the Work Group from “Curriculum Review and Research Findings” to “Learning from Curricula.”
  • “Addresses the misconception that there is one curriculum. There are a number of curricula at play, with the exception of the narrowing down at the middle school level, but teachers are also drawing from supplementary materials. There are a range of pathways for math experiences. The work plan would give an overview by level of program of what exists. “
  • “Could say that variety is good for children to have places to plug into. Could expand on the normative idea of purchasing commercial curricula vs. richer, in-house materials. Standards tell the teachers what needs to be taught. Published materials often are missing some aspect of the standards. District tries to define core resources; guides that help people with classroom organization.” Fascinating, given the move toward one size fits all in high school, such as English 9 and 10.
  • “Want to include a summary of the NRC report that came out in favor of Connected Math but was not conclusive—cannot control for teacher effects, positive effects of all curricula, etc. “
  • “Would like to give some portrayal of the opportunities for accelerated performance — want to document informal ways things are made available for differentiation. “
  • “Include elementary math targeted at middle school, e.g., Math Masters. There is information out there to address the Math Masters program and its effect on student achievement.”
  • “Data are available to conclude that there is equity in terms of resources”
  • “District will have trend data, including the period when Connected Math was implemented, and control for changes in demographics and see if there was a change. No way to link students who took the WKCE with a particular curriculum experience (ed: some years ago, I recall a teacher asked Administration at a PTO meeting whether they would track students who took Singapore Math at the Elementary level: “No”). That kind of data table has to be built, including controls and something to match teacher quality. May recommend that not worth looking at WKCE scores of CM (Connected Math) student or a case study is worth doing. “
  • The Parent Survey will be mailed to the homes of 1500 parents of students across all grades currently enrolled in MMSD math classes. The Teacher Survey will be conducted via the district’s web site using the Infinite Campus System.
  • MMSD Math Task Force website

Math Forum audio / video and links.

“American Education Fails Because It Isn’t Education”

Tom DeWeese:

Perhaps the most bizarre of all of the school restructuring programs is mathematics. Math is an exact science, loaded with absolutes. There can be no way to question that certain numbers add up to specific totals. Geometric statements and reasons must lead to absolute conclusions. Instead, today we get “fuzzy” Math. Of course they don’t call it that.
As ED Watch explains, “Fuzzy” math’s names are Everyday Math, Connected Math, Integrated Math, Math Expressions, Constructive Math, NCTM Math, Standards-based Math, Chicago Math, and Investigations, to name a few. Fuzzy Math means students won’t master math: addition, subtraction, multiplications and division.
Instead, Fuzzy Math teaches students to “appreciate” math, but they can’t solve the problems. Instead, they are to come up with their own ideas about how to compute.
Here’s how nuts it can get. A parent wrote the following letter to explain the everyday horrors of “Everyday Math.” “Everyday Math was being used in our school district. My son brought home a multiplication worksheet on estimating. He had ‘estimated’ that 9×9=81, and the teacher marked it wrong. I met with her and defended my child’s answer.
The teacher opened her book and read to me that the purpose of the exercise was not to get the right answer, but was to teach the kids to estimate. The correct answer was 100: kids were to round each 9 up to a 10. (The teacher did not seem to know that 81 was the product, as her answer book did not state the same.)”
Social, political, multicultural and especially environmental issues are rampant in the new math programs and textbooks. One such math text is blatant. Dispersed throughout the eighth grade textbooks are short, half page blocks of text under the heading “SAVE PLANT EARTH.” One of the sections describes the benefits of recycling aluminum cans and tells students, “how you can help.”
In many of these textbooks there is literally no math. Instead there are lessons asking children to list “threats to animals,” including destruction of habitat, poisons and hunting. The book contains short lessons in multiculturalism under the recurring heading “Cultural Kaleidoscope.” These things are simply political propaganda and are there for one purpose – behavior modification. It’s not Math. Parents are now paying outside tutors to teach their children real Math – after they have been forced to sit in classrooms for eight hours a day being force-fed someone’s political agenda.

Columbia (Missouri) Parents for Real Math

Math Excellence in Columbia Missouri Public Schools:

To: Columbia Public Schools Board of Education and Superintendent Phyllis Chase
An increasing number of parents and community leaders have expressed concern about the various math curricula currently used in the Columbia Public Schools (CPS). These experimental math programs go by the names of Investigations (TERC), Connected Math (CMP) and Integrated Math (Core Plus) and they emphasize “self-discovery” over mathematical competency. We are concerned because these curricula have been discredited and abandoned in other regions of the country after they failed to deliver demonstrable results. The failed curricula are currently the only method of instruction in the elementary grades and middle schools. At higher grade levels, CPS has actively discouraged students from enrolling in math courses that place more emphasis on widely accepted standard methods. And, while implementing and evaluating these programs, the Columbia School District did not provide open access to meetings or adequately consider the concerns of professional mathematicians, parents and community leaders.
Therefore, we, the undersigned, would like to express our deep concern with the following issues and to propose that the Columbia School District adopt the following goals:
1. Protect the right of students to become computationally fluent in mathematics. We expect students to receive direct instruction in standard algorithms of all mathematical operations and laws of arithmetic so that they can master the skills that allow fast, accurate calculation of basic problems. This goal cannot be met with the current Investigations/TERC math curriculum for lower grade levels.
2. Ensure that math instruction is flexible enough to allow for various learning styles and is age and grade-level appropriate. The elementary level should focus on math standards that will build a solid base of mathematical skills for ALL students. Middle school curricula should build a bridge between the fundamental arithmetic learned in elementary school and the more abstract concepts taught in high school. At both the elementary and middle school levels the curricula should allow teachers the flexibility to meet the needs of all types of learners. This goal cannot be met with the Connected Math program currently used in middle and junior high schools.

Related: Columbia Parents’ blog site, which offers a number of useful posts. [RSS]
Math Forum Audio / Video.
Via a reader.

MMSD Math Review Task Force Introduction and Discussion

The Madison School District’s Math Task Force was introduced to the School Board last night. Watch the video or listen to the mp3 audio. Background Links: Madison School Board Discusses Independent Math Review: Audio / Video. Math Forum Audio / Video UW Math Professor Dick Askey on the MMSD’s math scores; related: State test scores … Continue reading MMSD Math Review Task Force Introduction and Discussion

New Math Curriculum Draws Complaints

Connected Math textbooks for one year and the equivalent Singapore Math version.Brandon Lorenz: A recent meeting at Central Middle School attracted about 50 people to discuss concerns with the district’s Connected Mathematics Project, a new constructivist approach that was introduced in sixth, seventh and eighth grades this year. Another meeting for parents is scheduled for … Continue reading New Math Curriculum Draws Complaints

School math books, nonsense, and the National Science Foundation

David Klein: Problem: Find the slope and y-intercept of the equation 10 = x – 2.5. Solution: The equation 10 = x – 2.5 is a specific case of the equation y = x – 2.5, which has a slope of 1 and a y-intercept of –2.5. This problem comes from a 7th grade math … Continue reading School math books, nonsense, and the National Science Foundation

The Politics of K-12 Math and Academic Rigor

The Economist: Look around the business world and two things stand out: the modern economy places an enormous premium on brainpower; and there is not enough to go round. But education inevitably matters most. How can India talk about its IT economy lifting the country out of poverty when 40% of its population cannot read? … Continue reading The Politics of K-12 Math and Academic Rigor

State Test Scores Adjusted to Match Last Year

Sandy Cullen: A new statewide assessment used to test the knowledge of Wisconsin students forced a lowering of the curve, a Madison school official said. The results showed little change in the percentages of students scoring at proficient and advanced levels. But that’s because this year’s Wisconsin Knowledge and Concepts Examinations- Criterion Referenced Tests proved … Continue reading State Test Scores Adjusted to Match Last Year

Better MMSD budget process? Maybe next year.

The National School Board Association argues that local school boards exist to translate the community’s educational goals for its children into programs and to hold staff accountable for the quality and effectiveness of the programs: Your school board sets the standard for achievement in your district, incorporating the community’s view of what students should know … Continue reading Better MMSD budget process? Maybe next year.

Madison and Wisconsin Math Data, 8th Grade

At a meeting on February 22 (audio / video), representatives of the Madison Metropolitan School District presented some data [820K pdf | html (click the slide to advance to the next screen)] which they claimed showed that their middle school math series, Connected Mathematics Project, was responsible for some dramatic gains in student learning. There … Continue reading Madison and Wisconsin Math Data, 8th Grade

Math Forum Audio / Video and Links

Video and audio from Wednesday’s Math Forum are now available [watch the 80 minute video] [mp3 audio file 1, file 2]. This rare event included the following participants: Dick Askey (UW Math Professor) Faye Hilgart, Madison Metropolitan School District Steffen Lempp (MMSD Parent and UW Math Professor) Linda McQuillen, Madison Metropolitan School District Gabriele Meyer … Continue reading Math Forum Audio / Video and Links

“Less May be More with Math Curriculum”

Jamaal Abdul-Alim: The books are distributed by an Oregon-based company known as SingaporeMath.com, which counts a private school in Madison as the first of its growing number of clients. The biggest difference between math instruction in Singapore – a city-state with a population of about 4.4 million – and the United States is a simple … Continue reading “Less May be More with Math Curriculum”

A Few Notes on the Superintendent’s Evaluation & Curriculum

Several writers have mentioned the positive news that the Madison Board of Education has reviewed Superintendent Art Rainwater for the first time since 2002. I agree that it is a step in the right direction. In my view, the first responsibility of the Board and Administration, including the Superintendent is curriculum: Is the Madison School … Continue reading A Few Notes on the Superintendent’s Evaluation & Curriculum

K-12 Math Curriculum: A Visit With UW Math Professor Dick Askey

UW Math Professor Dick Askey kindly took the time to visit with a group of schoolinfosystem.org writers and friends recently. Dick discussed a variety of test results, books, articles and links with respect to K-12 math curriculum. Here are a few of them: Test Results: Wisconsin is slipping relative to other states in every two … Continue reading K-12 Math Curriculum: A Visit With UW Math Professor Dick Askey