Search Results for: "Math Forum"

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Math Performance Anxiety

Debra Saunders:

n the 1990s, the Math Wars pitted two philosophies against each other. One side argued for content-based standards – that elementary school students must memorize multiplication tables by third grade. The other side argued for students to discover math, unfettered by “drill and kill” exercises.
When the new 1994 California Learning Assessment Test trained test graders to award a higher score to a child with a wrong answer (but good essay) than to a student who successfully solved a math problem, but without a cute explanation, the battle was on. New-new math was quickly dubbed “fuzzy crap.” By the end of the decade, repentant educators passed solid math standards.
Yet the Math Wars continue in California, as well as in New Jersey, Oregon and elsewhere. In Palo Alto, parent and former Bush education official Ze’ev Wurman is one of a group of parents who oppose the Palo Alto Unified School District Board’s April 14 vote to use “Everyday Mathematics” in grades K-5. Wurman recognizes that the “fuzzies” aren’t as fuzzy as they used to be, but also believes that state educators who approve math texts “fell asleep at the switch” when they approved the “Everyday” series in 2007.
The “Everyday” approach supports “spiraling” what students learn over as long as two or more years. As an Everyday teacher guide explained, “If we can, as a matter of principle and practice, avoid anxiety about children ‘getting’ something the first time around, then children will be more relaxed and pick up part or all of what they need. They may not initially remember it, but with appropriate reminders, they will very likely recall, recognize, and get a better grip on the skill or concept when it comes around again in a new format or application-as it will!” Those are my italics – to highlight the “fuzzies’ ” performance anxiety.

Related: Math Forum.

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Washington State High School Math Text Review

W. Stephen Wilson: 285K PDF via a kind reader’s email:

A few basic goals of high school mathematics will be looked at closely in the top programs chosen for high school by the state of Washington. Our concern will be with the mathematical development and coherence of the programs and not with issues of pedagogy.
Algebra: linear functions, equations, and inequalities
We examine the algebraic concepts and skills associated with linear functions because they are a critical foundation for the further study of algebra. We focus our evaluation of the programs on the following Washington standard: A1.4.B Write and graph an equation for a line given the slope and the y intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.
We also consider how well the programs meet the following important standard: A1.1.B Solve problems that can be represented by linear functions, equations, and inequalities.
Linear functions, equations, and inequalities in Holt
We review Chapter 5 of Holt Algebra 1 on linear functions.
The study of linear equations and their graphs in Chapter 5 begins with a flawed foundation. Because this is so common, it will not be emphasized, but teachers need to compensate for these problems.
Three foundational issues are not dealt with at all. First, it is not shown that the definition of slope works for a line in the plane. The definition, as given, produces a ratio for every pair of points on the line. It is true that for a line these are all the same ratios, but no attempt is made to show that. Second, no attempt is made to show that a line in the plane is the graph of a linear equation; it is just asserted.
Third, it not shown that the graph of a linear equation is a line; again, it is just asserted.

Related: Math Forum and Madison’s Math Task Force.

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

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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.

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Madison Math Program Public Input Session

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The Madison School District Administration held a public input session on the recent Math Task Force report [3.9MB PDF] last evening at Memorial High School. Superintendent Dan Nerad opened and closed the meeting, which featured about 56 attendees, at least half of whom appeared to be district teachers and staff. Math Coordinator Brian Sniff ran the meeting.
Task force member and UW-Madison Professor Mitchell Nathan [Clusty Search] was in attendance along with Terry Millar, a UW-Madison Professor who has been very involved in the Madison School District’s math programs for many years. (Former Madison Superintendent Art Rainwater recently joined the UW-Madison Center for Education Research, among other appointments). UW-Madison Math professor Steffen Lempp attended as did school board President Arlene Silveira and board members Ed Hughes and Beth Moss. Jill Jokela, the parent representative on the Math Task Force, was also present.
Listen via this 30MB mp3 audio file. 5.5MB PDF Handout.
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Mathmetician The Best Job in the US; Madison Math Task Force Community Meetings Tonight & Tomorrow

Sarah Needleman:

Nineteen years ago, Jennifer Courter set out on a career path that has since provided her with a steady stream of lucrative, low-stress jobs. Now, her occupation — mathematician — has landed at the top spot on a new study ranking the best and worst jobs in the U.S.
“It’s a lot more than just some boring subject that everybody has to take in school,” says Ms. Courter, a research mathematician at mental images Inc., a maker of 3D-visualization software in San Francisco. “It’s the science of problem-solving.”
The study, to be released Tuesday from CareerCast.com, a new job site, evaluates 200 professions to determine the best and worst according to five criteria inherent to every job: environment, income, employment outlook, physical demands and stress. (CareerCast.com is published by Adicio Inc., in which Wall Street Journal owner News Corp. holds a minority stake.)
The findings were compiled by Les Krantz, author of “Jobs Rated Almanac,” and are based on data from the U.S. Bureau of Labor Statistics and the Census Bureau, as well as studies from trade associations and Mr. Krantz’s own expertise.
According to the study, mathematicians fared best in part because they typically work in favorable conditions — indoors and in places free of toxic fumes or noise — unlike those toward the bottom of the list like sewage-plant operator, painter and bricklayer. They also aren’t expected to do any heavy lifting, crawling or crouching — attributes associated with occupations such as firefighter, auto mechanic and plumber.
The study also considers pay, which was determined by measuring each job’s median income and growth potential. Mathematicians’ annual income was pegged at $94,160, but Ms. Courter, 38, says her salary exceeds that amount.

Related:

Parents and citizens have another opportunity to provide input on this matter when Brian Sniff, Madison’s Math Coordinator and Lisa Wachtel, Director of Madison’s Teaching & Learning discuss the Math Report at a Cherokee Middle School PTO meeting on January 14, 2009 at 7:00p.m.

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Madison School District seeks input on proposed math changes

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Andy Hall:

A series of potentially controversial proposals will be outlined next week as residents are invited to help shape how math is taught in the Madison School District.
Among the recommendations from a task force that recently completed a one-year study:
• Switch to full-time math teachers for all students in grades five through eight.
• The math task force’s executive summary and full report
• Substantially boost the training of math teachers.
• Seriously consider selecting a single textbook for each grade level or course in the district, rather than having a variety of textbooks used in schools across the district.
The task force was created in 2006 by the Madison School Board to independently review the district’s math programs and seek ways to improve students’ performance.

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Counting on the Future: International Benchmarks in Mathematics for American School Districts

Dr. Gary W. Phillips & John A. Dossey [2.5MB PDF Report]:

Students in six major U.S. cities are performing on par or better in mathematics than their peers in other countries in grades 4 and 8, according to a new study by the American Institutes for Research (AIR). However, students from five other major cities are not faring as well, and overall, U.S. student performance in mathematics falls off from elementary to middle school grades — and remains behind many industrialized nations, particularly Asian nations.
The AIR study offers the first comparison between students from large U.S. cities and their international peers. The study compares U.S. 4th grade students with their counterparts in 24 countries and 8th grade students with peers in 45 countries.
“Globalization is not something we can hold off or turn off…it is the economic equivalent of a force of nature… like the wind and water” (Bill Clinton)
If you are a student today competing for jobs in a global economy, the good jobs will not go to the best in your graduating class–the jobs will go to the best students in the world. Large urban cities are intimately connected to the nations of the world. Large corporations locate their businesses in U.S. cities; foreign students attend U.S. schools; and U.S. businesses export goods and services to foreign nations. Large urban cities need to know how their students stack up against peers in the nations with which the U.S. does business. This is especially important for students in the fields of science, technology, engineering, and mathematics. The students in these fields will allow our future generation to remain technologically innovative and economically competitive.
This report provides a comparison of the number of mathematically Proficient students in Grades 4 and 8 in 11 large cities in the United States with their international peers.
This comparison is made possible by statistically linking the National Assessment of Educational Progress (NAEP) in 2003 and the Trends in International Mathematics and Science Study (TIMSS) in 2003 when both assessments were conducted in the United States in the same year and in the same grades.
After the statistical linking was completed, it was possible to compare the most recent NAEP results (from 2007) to the most recent TIMSS results (from 2003). How the United States compares to the overall international average.
At Grade 4, five countries (Singapore, Hong Kong SAR, Chinese Taipei, Japan, and the Flemish portion of Belgium) performed significantly better than the United States (Figure 1). However, the United States (at 39% proficiency) performed better than the international average (27% proficiency) of all 24 countries (Figure 13).
At Grade 8, eight countries (Singapore, Hong Kong SAR, Republic of Korea, Chinese Taipei, Japan, Belgium (Flemish), Netherlands, and Hungary) performed significantly better than the United States (Figure 1). However, the United States (at 31% proficiency) performed better than the international average (21% proficiency) of all 44 countries (Figure 14).
….
Because of the persistent requests of urban school districts, the U .S . Congress authorized NAEP to assess, on a trial basis, six large urban school districts beginning in 2002 . Since then, more districts have been added, resulting in 11 school districts in 2007 (and plans are underway to include even more districts in the future) . The urban school chiefs in these 11 large school districts, which voluntarily participated in the 2007 NAEP, recognized the global nature of educational expectations and the importance of having reliable external data against which to judge the performance of their students and to hold themselves accountable . They should be commended for their visionary goal of trying to benchmark their local performance against tough national standards. National standards provide a broad context and an external compass with which to steer educational policy to benefit local systems . The purpose of this report is to further help those systems navigate by providing international benchmarks.

Clusty Search: Gary W. Phillips and John A. Dossey.
Greg Toppo has more:

Even if the findings are less-than-stellar, he says, they should help local officials focus on improving results.
“In that sense, I think it could be a very positive thing to use in-house, in the district, to keep their nose to the grindstone,” says Kepner, a former middle- and high-school math teacher in Iowa and Wisconsin.”If they can show they’re improving, they might be able to attract more companies to a system that’s on the move.”
Phillips says the findings prove that in other countries “it is possible to do well and learn considerably under a lot of varied circumstances — in other words, being low-income is not really an excuse when you look around the rest of the world.”

Math Forum audio & video.

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Amusing, but Not Funny

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Bob Herbert:

Sara Rimer of The Times wrote an article last week that gave us a startling glimpse of just how mindless and self-destructive the U.S. is becoming.
Consider the lead paragraph:
“The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued.”
The idea that the U.S. won’t even properly develop the skills of young people who could perform at the highest intellectual levels is breathtaking — breathtakingly stupid, that is.
The authors of the study, published in Notices of the American Mathematical Society, concluded that American culture does not value talent in math very highly. I suppose we’re busy with other things, like text-messaging while jay-walking. The math thing is seen as something for Asians and nerds.

Related: Math Forum.

College Preparation, Curriculum, Curriculum - Math, History - Madison Schools, Parenting, School Climate, Student Support

Janet Mertz Study: Math Skills Suffer in US, Study Finds

Carolyn Johnson:

It’s been nearly four years since Lawrence Summers, then president of Harvard University, made his controversial comments about the source of the gender gap in math and science careers. Still, the ripple effect continues – most recently in a study made public today on the world’s top female math competitors.
The study, to be published in next month’s Notices of the American Mathematical Society, identifies women of extraordinary math ability by sifting through the winners of the world’s most elite math competitions. It found that small nations that nurtured female mathematicians often produced more top competitors than far larger and wealthier nations.
The message: Cultural or environmental factors, not intellect, are what really limit women’s math achievements.

Sara Rimer:

The United States is failing to develop the math skills of both girls and boys, especially among those who could excel at the highest levels, a new study asserts, and girls who do succeed in the field are almost all immigrants or the daughters of immigrants from countries where mathematics is more highly valued.
The study suggests that while many girls have exceptional talent in math — the talent to become top math researchers, scientists and engineers — they are rarely identified in the United States. A major reason, according to the study, is that American culture does not highly value talent in math, and so discourages girls — and boys, for that matter — from excelling in the field. The study will be published Friday in Notices of the American Mathematical Society.
“We’re living in a culture that is telling girls you can’t do math — that’s telling everybody that only Asians and nerds do math,” said the study’s lead author, Janet E. Mertz, an oncology professor at the University of Wisconsin, whose son is a winner of what is viewed as the world’s most-demanding math competitions. “Kids in high school, where social interactions are really important, think, ‘If I’m not an Asian or a nerd, I’d better not be on the math team.’ Kids are self selecting. For social reasons they’re not even trying.”
Many studies have examined and debated gender differences and math, but most rely on the results of the SAT and other standardized tests, Dr. Mertz and many mathematicians say. But those tests were never intended to measure the dazzling creativity, insight and reasoning skills required to solve math problems at the highest levels, Dr. Mertz and others say.
Dr. Mertz asserts that the new study is the first to examine data from the most difficult math competitions for young people, including the USA and International Mathematical Olympiads for high school students, and the Putnam Mathematical Competition for college undergraduates. For winners of these competitions, the Michael Phelpses and Kobe Bryants of math, getting an 800 on the math SAT is routine. The study found that many students from the United States in these competitions are immigrants or children of immigrants from countries where education in mathematics is prized and mathematical talent is thought to be widely distributed and able to be cultivated through hard work and persistence.

Complete report 650K PDF.
Related: Math Forum.
Much more on Janet Mertz here.

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Prince William County, Maryland Pupils Still Grapple With Math Test

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Ian Shapira:

New state test results show that Prince William County’s third-graders are struggling to score at the highest level since the implementation of a controversial math program that was intended to boost performance.
The scores, which are the first state Standards of Learning (SOL) results to gauge the new program’s effectiveness, reveal that fewer than half of Prince William’s third-graders scored in the advanced category this year, the first that the Pearson math program “Investigations in Number, Data, and Space” was taught in that grade. Last year, third-graders who had not begun “Investigations” posted the same results.
The flat scores are a sizable decline since 2006, when 56 percent of third-graders reached the advanced level in math.
” ‘Investigations’ didn’t cure the problem,” said Vern Williams, a Fairfax County teacher and former member of the National Mathematics Advisory Panel who was invited by the Prince William School Board to speak at its work session later this month.

It will be interesting to see what, if any effect the soon to be released Madison Math Task Force report has on the local curriculum.
Math Forum

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Why Some Kids Aren’t Heading to School Today
Choosing the most radical education reform there is

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Tony Woodlief:

So we frown on radicalism. Yet we have embarked on one of the most radical endeavors families can undertake: home-schooling. Given preconceptions about this practice, I should note that we are not anti-government wingnuts living on a compound. We like literature, and nice wines, and Celeste would stab me in the heart with a spoon if I gave her one of those head bonnets the Amish women wear. We are not, in other words, stereotypical home-schooling parents. But neither are most actual home-schooling parents.
Even though Ma and Pa Ingalls sent their children off to the little schoolhouse in Walnut Grove, we’ve decided to start our own. In the eyes of Kansas authorities that’s exactly what we’ve done; regulations require us to establish a school and name it. Ours is the Woodlief Homestead School. I wanted to go with something like: “The School of Revolutionary Resistance,” but Celeste said that was just inviting trouble.
The reason we’ve broken with tradition, or perhaps reverted to a deeper tradition, is not because we oppose sex education, or because we think their egos are too tender for public schools. It’s because we can do a superior job of educating our children. We want to cultivate in them an intellectual breadth and curiosity that public schools no longer offer.
Somewhere there is now an indignant teacher typing an email to instruct me about his profession’s nobility. Perhaps some public schools educate children in multiple languages and musical instruments, have them reading classic literature by age seven, offer intensive studies of math, science, logic, and history, and coach them in public speaking and writing. The thing is, I don’t know where those schools are.

A wise friend recently mentioned that “choice is good”. It will be interesting to see if the upcoming Madison School District math review addresses ongoing concerns over reduced rigor. Math Forum audio / video.

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On Math Curriculum Reduction

Emily Messner:

The students swapped stories of little sisters, brothers and cousins who were taking above-grade-level math and getting good grades, yet did not seem to have a firm grasp of the material. The curriculum is being “narrowed and shallowed,” Walstein said. “The philosophy is that they squeeze you out the top like a tube of toothpaste. That’s what Montgomery County math is.”
Several students nodded their heads. This thesis has become Walstein’s obsession: In its drive to be the best, please affluent parents and close the achievement gap on standardized tests, the county is accelerating too many students in math, at the expense of the curriculum — and the students. The average accelerated math student “thinks he’s fine. His parents think he’s fine. The school system says he’s fine. But he’s not fine!” Walstein declares on one occasion. On another, Walstein is even less diplomatic. ” ‘We have the best courses and there’s no achievement gap and everything is wonderful,’ ” he says, parroting the message he believes county administrators are trying to project.
“The problem is, they’re lying!”

Math Forum audio / video links.

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Math Meltdown

Patrick Welsh:

Summertime means school for an increasing number of high school students who have struggled in their math courses. But the system could be contributing to the kids’ poor performances.
Sam Cooke once cooed: “It’s summertime, and the living is easy.”
Tell that to the increasing number of middle and high school students who will be sweating out summer school this year because of their meltdown in math.

Related: Math Forum.

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More “Algebra” for Chicago Public Schools Eighth Graders

Alexander Russo:

What do you think about the CPS effort to bring more algebra into middle schools?
From Catalyst: “The June board meeting included a brief presentation on student achievement from the Office of Instructional Design and Assessment. A recap of statistics showed that while 40 percent of 8th-graders across the country take algebra, only 8 percent of CPS 8th-graders do.
“With this in mind, Chief Officer Xavier Botana noted how the district is revamping algebra instruction: 8th-grade algebra will now be called “High School Algebra in the Middle Grades,” a name change that Botana said will help parents and others understand that students are tackling high-school-level material.

A commenter nails the issue:

The exit exams have to be real. They can’t be given credit for high school algebra, then show up in high school unprepared to take second year algebra.
Of course, they would only be prepared to take algebra in 8th grade if they have had rigorous math instruction before that. I believe these suburban schools with 40% of 8th graders taking algebra also have pre-algebra programs for kids in the 7th grade.
I’m all for offering rigorous classes; but there has to be some support to help kids get there.

Related:

  • Madison West High School Math Teachers letter to Isthmus:

    Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator’s office to phase out our “accelerated” course offerings beginning next year. Rather than addressing the problems of equity and closing the gap by identifying minority math talent earlier, and fostering minority participation in the accelerated programs, our administration wants to take the cheaper way out by forcing all kids into a one-size-fits-all curriculum.

  • Math Forum audio / video and links

It will be interesting to see the results of the Madison Math Task Force’s work.

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Return of the Math Wars

Debra Saunders:

1997 saw the height of the Math Wars in California.
On the one side stood educrats, who advocated mushy math – or new-new math. They sought to de-emphasize math skills, such as multiplication and solving numeric equations, in favor of pushing students to write about math and how they might solve a problem. Their unofficial motto was: There is no right answer. (Even to 2 +2.)
They were clever. They knew how to make it seem as if they were pushing for more rigor, as they dumbed down curricula. For example, they said they wanted to teach children algebra starting in kindergarten, which seemed rigorous, but they had expanded the definition of algebra to the point that it was meaningless.
On the other side were reformers, who wanted the board to push through rigorous and specific standards that raised the bar for all California kids. Miraculously, they succeeded, and they took pride in the state Board of Education’s vote for academic standards that called for all eighth-graders to learn Algebra I.

Math Forum Audio, Video and links.

College Preparation, Curriculum, Curriculum - Math, Governance/Board Decision Making, History - Madison Schools, School Climate, Student Support, Teacher Support

Madison Math Task Force Minutes

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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.

College Preparation, Curriculum, Curriculum - Math, Governance/Board Decision Making, School Climate, Student Support, Teacher Support

Columbia, Missouri ACT Results Compared with Math Curriculum

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Columbia Parents for Real Math:

CPS Secondary Math Curriculum Coordinator Chip Sharp provided average ACT scores reported by course enrollment which are used in the figures below. Plotting the data in several ways gives food for thought regarding the differences between algebra and integrated math pathways offered at CPS.
The data don’t distinguish between which students are sophomores, juniors or seniors when they take the ACT, which students may have repeated courses or what year they started the pathway (7th, 8th or 9th grade). But it does give some idea of how much math “preparation” each course pathway provides at least for the years for which data is available.

I’ve heard that Madison’s Math Task Force will render a report prior to Superintendent Art Rainwater’s June 30, 2008 retirement. Related: Math Forum.

Curriculum, Curriculum - Math, School Climate, Student Support

Accelerated Math Adds Up To a Division Over Merits

Daniel de Vise:

Next fall, 26 of the sharpest fifth-grade minds at Potomac Elementary School will study seventh-grade math. The rest of the fifth grade will learn sixth-grade math. Fifth-grade math will be left to the third- and fourth-graders.
Public schools nationwide are working to increase the number of students who study Algebra I, the traditional first-year high school math course, in eighth grade. Many Washington area schools have gone further, pushing large numbers of students two or three years ahead of the grade-level curriculum.
Math study in Montgomery County has evolved from one or two academic paths to many. Acceleration often begins in kindergarten. In a county known for demanding parents, the math push has generated an unexpected backlash. Many parents say children are pushed too far, too fast.
Sixty Montgomery math teachers complained, in a November forum, that students were being led into math classes beyond their abilities.

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Wisconsin Department of Public Instruction Releases Latest State Test Results, Madison Trails State Averages

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380K PDF Press Release [AP’s posting of DPI’s press release]:

Results for statewide testing show an overall upward trend for mathematics, stable scores in reading, and a slight narrowing of several achievement gaps. This three-year trend comes at a time when poverty is continuing to increase among Wisconsin students.
The 434,507 students who took the Wisconsin Knowledge and Concepts Examinations (WKCE) and the Wisconsin Alternate Assessment for Students with Disabilities (WAA-SwD) this school year showed gains over the past three years in mathematics in six out of seven grades tested. Reading achievement at the elementary, middle, and high school levels was stable over three years. An analysis of all combined grades indicates a narrowing of some achievement gaps by racial/ethnic group.
“These three years of assessment data show some positive trends. While some results point to achievement gains, we must continue our focus on closing achievement gaps and raising achievement for all students,” said State Superintendent Elizabeth Burmaster.

Andy Hall notes that Madison Trails State Averages [Dane County Test Result Comparison prepared by Andy Hall & Phil Brinkman – pdf]:

But in the Madison School District, just two of the 23 proficiency scores improved, while five were unchanged and 16 declined, according to a Wisconsin State Journal review of the 2006-07 and 2007-08 school year data from the state Department of Public Instruction.
Madison’s scores trail the state average in 22 of the 23 scores. Typically the percentage of Madison students attaining proficient or advanced ratings trails the state average by several percentage points.
“The fact that we’re able to stay close to the state average as our demographics have made dramatic changes, I think is a positive,” said Madison schools Superintendent Art Rainwater, who added that the district’s “strong instructional program” is meeting many of the challenges of immigrant and low-income students while ensuring that “high fliers are still flying high.”
A district analysis shows that when the district’s students are compared with their peers across the state, a higher percentage of Madison students continue to attain “advanced” proficiency scores — the highest category.
Madison students who aren’t from low-income families “continue to outperform their state counterparts,” with higher percentages with advanced scores in reading and math at all seven tested grade levels, the district reported.
Rainwater said he’s long feared that the district’s increasingly needy student population, coupled with the state’s revenue limits that regularly force the district to cut programs and services, someday will cause test scores to drop sharply. But so far, he said, the district’s scores are higher than would be expected, based on research examining the effects of poverty and limited English abilities on achievement.
This school year, 43 percent of Madison students are from low-income families eligible for free and reduced-price lunches, while 16 percent of students are classified as English language learners — numbers that are far above those of any other Dane County school district.
Rainwater noted that students with limited English abilities receive little help while taking the reading and language arts tests in English.

Tamira Madsen:

Reading test scores for Madison students changed little compared to 2006-07, but math results decreased in six of the seven grades tested. Of 23 scores in five topics tested statewide, Madison lagged behind state peers in 22 of 23 of those scores.
Madison Superintendent Art Rainwater attributes the district’s performance and trends to the growing population of English language learners in the district.

Officials now are able to draw upon three years of results since Wisconsin began administering testing to students in grades three through eight and grade 10 in reading and mathematics. Based on state regulations, students in fourth, eighth and 10th grade were also tested in language arts, science and social studies.

Alan Borsuk on Milwaukee’s results:

But there is little room for debate about what the scores say about the need for improvement in the outcomes for Milwaukee Public Schools students: The gaps between Milwaukee students and the rest of the state remain large, and school improvement efforts of many kinds over the years have not made much of a dent.
The problem is especially vivid when it comes to 10th-graders, the highest grade that is part of Wisconsin’s testing system. The gap between sophomores in Milwaukee and those statewide has grown larger over the last two years, and, once again, no more than 40% of 10th-graders in MPS were rated as proficient or better in any of the five areas tested by the state. For math and science, the figure is under 30%.

Amy Hetzner notes that Waukesha County’s test scores also slipped.
Notes and links regarding the rigor of Wisconsin DPI standards. DPI academic standards home page. Search individual school and district results here. The 2006 Math Forum discussed changes to the DPI math test and local results.
TJ Mertz reviews Wright Middle School’s results.
Chan Stroman’s June, 2007 summary of Madison WKCE PR, data and an interesting discussion. Notes on spin from Jason Spencer.
Jeff Henriques dove into the 2007 WKCE results and found that Madison tested fewer 10th graders than Green Bay, Appleton, Milwaukee and Kenosha. There’s also a useful discussion on Jeff’s post.
Advocating a Standard Grad Rate & Madison’s “2004 Elimination of the Racial Achievement Gap in 3rd Grade Reading Scores”.
Madison School District’s Press Release and analysis: Slight decline on WKCE; non-low income students shine

College Preparation, Curriculum, Curriculum - Math, Governance/Board Decision Making, History - Madison Schools, School Climate

Study Suggests Math Teachers Scrap Balls and Slices; “The Researchers Did Something Rare in Education Research”

Kenneth Chang:

One train leaves Station A at 6 p.m. traveling at 40 miles per hour toward Station B. A second train leaves Station B at 7 p.m. traveling on parallel tracks at 50 m.p.h. toward Station A. The stations are 400 miles apart. When do the trains pass each other?
Entranced, perhaps, by those infamous hypothetical trains, many educators in recent years have incorporated more and more examples from the real world to teach abstract concepts. The idea is that making math more relevant makes it easier to learn.
That idea may be wrong, if researchers at Ohio State University are correct. An experiment by the researchers suggests that it might be better to let the apples, oranges and locomotives stay in the real world and, in the classroom, to focus on abstract equations, in this case 40 (t + 1) = 400 – 50t, where t is the travel time in hours of the second train. (The answer is below.)
“The motivation behind this research was to examine a very widespread belief about the teaching of mathematics, namely that teaching students multiple concrete examples will benefit learning,” said Jennifer A. Kaminski, a research scientist at the Center for Cognitive Science at Ohio State. “It was really just that, a belief.”
Dr. Kaminski and her colleagues Vladimir M. Sloutsky and Andrew F. Heckler did something relatively rare in education research: they performed a randomized, controlled experiment. Their results appear in Friday’s issue of the journal Science.

The Advantage of Abstract Examples in Learning Math by Jennifer A. Kaminski, Vladimir M. Sloutsky, Andrew F. Heckler.
I wonder what has become of the Madison School District’s Math Task Force?
Math Forum audio, video, notes and links.

Curriculum - Math, Governance/Board Decision Making, History - Madison Schools, School Climate

“Professor Strengthens Math, Science Education”

Madeline Fisher:

Talk with Terry Millar long enough and it’s bound to happen: The mathematics professor will begin drilling you in math. He’ll slip in a question such as “What is pi?” and before you know it you’re being coached to a whole new level of mathematical understanding.
Linda McQuillen refers to it as having Millar “attend to her mathematics” and as his long-time collaborator she’s well acquainted with the experience.
“Traveling with him [to meetings] and when we’d do presentations for various audiences, on the cab rides to and from the airport, we were always doing mathematics,” laughs McQuillen, a retired math teacher and a former leader of the Madison school district’s math goals. “The problem is, Terry can do it verbally and I can’t. He’s just amazing.”
If Millar’s enthusiasm for teaching math can be overwhelming, it’s also true he has put the energy to good use. For well over a decade, Millar has worked to improve math and science instruction for students at all levels by bringing together the knowledge of university mathematicians and scientists with the teaching and curricular expertise of educators.

Terry Millar and Linda McQuillen participated in the Math Forum. Check out the notes, audio and video here.

Curriculum, Curriculum - Math, School Climate, Student Support

“America’s Math Education System is Broken”

Maria Glod:

The National Mathematics Advisory Panel was convened by President Bush in April 2006 to address concerns that many of today’s students lack the math know-how needed to become tomorrow’s engineers and scientists. The 24-member panel of mathematicians and education experts announced recommendations to improve instruction and make better textbooks and even called on researchers to find ways to combat “mathematics anxiety.”
Larry R. Faulkner, panel chairman and former president of the University of Texas at Austin, said the country needs to make changes to stay competitive in an increasingly global economy. He noted that many U.S. companies draw skilled workers from overseas, a pool he said is drying out as opportunities in other countries improve.
“The question is, are we going to be able to get the talent?” Faulkner said in a briefing before the report’s release. “And it’s not just a question of economic competitiveness. In the end, it’s a question of whether, as a nation, we have enough technical prowess to assure our own security.”

Google News. Math Forum audio / video.
Joanne rounds up a few more links.

Curriculum, Curriculum - Math, Parenting, School Climate, Student Support, Teacher Support

New Math Textbooks Irk Some Parents

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Ian Shapira:

Greg Barlow, an Air Force officer in the defense secretary’s office at the Pentagon, was helping his 8-year-old son, Christian, one recent night with a vexing problem: What is 674 plus 249?
The Prince William County third-grader did not stack the numbers and carry digits from one column to the next, the way generations have learned. Applying lessons from his school’s new math textbook, “Investigations in Number, Data, and Space,” Christian tried breaking the problem into easier-to-digest numbers.
But after several seconds, he got stumped. He drew lines connecting digits, and his computation amounted to an upside-down pyramid with numbers at the bottom. His father, in a teacherly tone, nudged him toward the old-fashioned method. “How would you do that another way?” Barlow asked.
In Prince William and elsewhere in the country, a math textbook series has fomented upheaval among some parents and teachers who say its methods are convoluted and fail to help children master basic math skills and facts. Educators who favor the series say it helps young students learn math in a deeper way as they prepare for the rigors of algebra.
The debate over “Investigations in Number, Data, and Space,” a Pearson School series used in thousands of elementary classrooms, including some in Arlington, Fairfax, Loudoun and Howard counties, is one of the newer fronts in the math wars. Such battles over textbooks and teaching methods are fueled in part by the anxieties of parents who often feel powerless over their children’s education, especially in subjects they know.
The curriculum, introduced in the 1990s and updated in a second edition issued last fall, offers one answer to the nation’s increasingly urgent quest for stronger elementary math education. The nonprofit organization TERC, based in Cambridge, Mass., developed “Investigations” with support from the National Science Foundation.

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College Preparation, Curriculum, Curriculum - Math, Governance/Board Decision Making, Parenting, School Climate, Student Support, Teacher Support

Virginia Parents Resist Math “Investigations” Curriculum

Ian Shapira:

A group of Prince William County parents is mounting a campaign to repeal a new elementary school math curriculum, using an Internet discussion group and an online petition to gather support and fuel criticism.
The group, whose members include parents from such elementary schools as Westridge, Ashland and Springwoods as well as teachers from various schools, plans to present the Prince William County School Board in February with its petition, which has about 500 names. Parents in the group, whose Web site ( http://www.pwcteachmathright.com) lists several of their complaints, say that the Investigations curriculum is putting their children behind grade level and is too convoluted.
The group’s formation comes right after the school system presented a year-long study of the curriculum that showed 80 percent of second-graders and 70 percent of first-graders are proficient on all 10 subtests of the Stanford Diagnostic Mathematics Test. The school system wants to continue studying the program and incorporate data from student performance on the state Standards of Learning exams.
School Board member Julie C. Lucas (Neabsco) said in an interview that she wants to examine the program inside a classroom to assess its effectiveness. She added that she has been hearing positive reviews from at least one principal in her district but that she wants to withhold making public comments until she visits schools.
The Investigations program has been undergoing a phased-in implementation since the School Board adopted its materials in 2006. In the 2006-07 academic year, kindergarten through second grade started the program; this year, third-graders began it; and next year, fourth-graders will use the material.
Investigations teaches children new ways of learning mathematics and solving problems. For instance, a student may not need to learn how to add 37 and 23 by stacking the figures on top of each other, and carrying the numbers. They may learn to add up the tens and then combine the seven and three to arrive at 60.

Related:

  • Math Forum Audio / Video
  • Madison School District’s Math Task Force
  • Clusty Search: Math Investigations
  • Teaching Math Right website:

    Why this website?
    …Because our children – ALL children – deserve a quality mathematics education in PWCS!!
    In 2006 PWCS directed mandatory implementation of the elementary school mathematics curriculum TERC – “Investigations in Number, Data, and Space” in all PWCS elementary schools. The traditional, proven, successful mathematics program was abandoned for a “discovery learning” program that has a record of failure across the country.
    Of all the VA Department of Education approved elementary math text/materials, “Investigations” least adequately supports the VA Standards of Learning. Yet it was somehow “the right choice” for PWCS children. Parents of 2nd and 3d graders are already realizing the negative impact of this program in only a year and a half’s worth of “Investigations.” Children subjected to this program end up two years behind where they should be in mathematics fluency and competency by the end of 5th grade. PWCS is committed to experimenting with our children’s future. We think our children and our tax dollars deserve better.

Community Partners, Curriculum, Curriculum - Math, School Climate, Student Support, Teacher Support

Millar: Improving education in math and science

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Terry Millar: Improvement in math and science education is a priority in Madison, as it is across the nation. Science, technology, engineering and math (STEM) training is not only of growing importance to our technology-dependent society, these disciplines also represent esthetically compelling advances in human knowledge that all students should have the opportunity to appreciate. … Continue reading Millar: Improving education in math and science →

College Preparation, Curriculum, Curriculum - Math, School Climate

The Secret Gripes of Professor Klein: An AP-IB Drama

Jay Matthews:

David Klein, a mathematics professor at California State University at Northridge, says he was pleased to review Advanced Placement and International Baccalaureate math courses for the Thomas B. Fordham Institute. He respects institute President Chester E. “Checker” Finn Jr., a longtime leader in the movement to improve U.S. schools. Among the views Klein shares with Finn is that overuse of calculators can interfere with students’ mastery of analytical skills.
But their collaboration on Fordham’s analysis of AP and IB did not turn out the way either of them hoped.
On June 4, Klein submitted his report on two courses, AP Calculus AB and IB Mathematics SL. Klein’s analysis of AP and IB math was more negative and his grades lower than what the experts on AP and IB English, history and biology courses submitted to Fordham. He would have given the AP math course a C-plus and the IB math course a C-minus. The other reviewers thought none of the courses they looked at deserved anything less than a B-minus.
Still, Klein says, he got no indication from the Fordham staff of any problems until the edited version of his material came back to him for review on Sept. 28, a week before the deadline for completing the report. Many of what he considered his strongest points, he discovered, had been deleted. He had Fordham remove his name as a co-author of the report, “Advanced Placement and International Baccalaureate: Do They Deserve Gold Star Status?” which was released Nov. 14.
After agreeing to the name removal, Finn told Klein in an e-mail: “I imagine we’ll also reduce your overemphasis on calculator use and probably change the grades (upward). Thanks, tho, for your help.” Klein’s grade of C-plus for AP was not changed, but his grade of C-minus for IB got a big jump to a B-minus, meaning the report was saying that IB math was better than AP math, the opposite of what Klein had said.

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College Preparation, Community Partners, Curriculum - Math, Curriculum - Science, School Climate

John Kao has a plan to help U.S. compete, regain foothold in science and technology

Heidi Benson: As important, is the state of science and math education, particularly in the early grades, where young students’ abilities have been in a steady decline. The slip results as much from failings in government priorities as from income and class inequities, Kao believes. “We are allowing the vagaries of income disparity to waste … Continue reading John Kao has a plan to help U.S. compete, regain foothold in science and technology →

Curriculum

Malcolm Gladwell talks about our working future

Rebecca Dube:

If you feel like work is getting harder, it’s not just your imagination, says Malcolm Gladwell.
The bestselling author of Blink and The Tipping Point says the mental demands of the workplace are steadily growing — and we’re all going to have to smarten up if we want to succeed.
“I’m quite prepared for the possibility that the next revolution is not going to come from a machine,” says Mr. Gladwell, 44, a staff writer for New Yorker magazine, who has carved out his own niche as a business guru. “It’s going to come from creating a more thoughtful work force and giving people the opportunity to be thoughtful.”
Among his recommendations: Business leaders should get more involved in education policy debates, Canada should consider other countries’ models for teaching advanced mathematics, and hiring managers should stop looking for a perfect fit when scouting for employees.
When you say that the cognitive demands of the workplace will be growing, what do you mean?
We will require, from a larger and larger percentage of our work force, the ability to engage in relatively complicated analytical and cognitive tasks. So it’s not that we’re going to need more geniuses, but the 50th percentile is going to have to be better educated than they are now. We’re going to have to graduate more people from high school who’ve done advanced math, is a very simple way of putting it.

Math Forum Audio / Video.

Curriculum, Curriculum - Math, Governance/Board Decision Making, School Climate

MMSD Paid Math Consultant on Math Task Force

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Click to view MMSD Accounting Details. A number of questions have been raised over the past few years regarding the Madison School District’s math curriculum: West High Math Teachers: Moreover, parents of future West High students should take notice: As you read this, our department is under pressure from the administration and the math coordinator’s … Continue reading MMSD Paid Math Consultant on Math Task Force →

Curriculum, Curriculum - Math, Elections, Governance/Board Decision Making, History - Madison Schools, School Climate, Student Support

MMSD Math Review Task Force Introduction and Discussion

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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 →

College Preparation, Curriculum - Math, Governance/Board Decision Making, School Climate, What Can I Do?

New Math Curriculum Draws Complaints

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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 →

Curriculum, Curriculum - Math, Elections, Governance/Board Decision Making, School Climate, Staff Support, Student Support, What Can I Do?

Do Math Topics Lead to Better Instruction?

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Daniel de Vise: It says the typical state math curriculum runs a mile wide and an inch deep, resulting in students being introduced to too many concepts but mastering too few, and urges educators to slim down those lessons. Some scholars say the American approach to math instruction has allowed students to fall behind those … Continue reading Do Math Topics Lead to Better Instruction? →

College Preparation, Curriculum - Math, Governance/Board Decision Making, School Climate, Student Support, What Can I Do?

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 →

Governance/Board Decision Making

The Politics of K-12 Math and Academic Rigor

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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 →

Curriculum - Math, Elections, Governance/Board Decision Making, School Climate

Return to Basics in Teaching Math

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Critics of “Fuzzy” Methods Cheer Educators’ Findings; Drills Without Calculators. Taking Cues from Singapore. John Hechinger: The nation’s math teachers, on the front lines of a 17-year curriculum war, are getting some new marching orders: Make sure students learn the basics. In a report to be released today, the National Council of Teachers of Mathematics, … Continue reading Return to Basics in Teaching Math →

Elections, School Climate, What Can I Do?

Mathiak on Memorandum to Local Media

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Madison School Board Candidate (Seat 2) Candidate Lucy Mathiak, via Kristian Knutsen: Although I understand your interest in exploring the political impact of on-line communication, I was dismayed to see a piece that went beyond questions of blog influence to focus on my campaign in a way that made it appear that the memo in … Continue reading Mathiak on Memorandum to Local Media →

Curriculum

Notes from Monday’s Madison School Board Meeting

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Two interesting notes, among many, I’m sure from Monday evening’s Madison School Board meeting: Johnny Winston, Jr. introduced a motion for the Administration to look at acquiring land in Fitchburg for a new school. This motion passed 5-1, with Bill Keys voting no (and Juan Jose Lopez absent). Ruth Robarts advocated curriculum changes as a … Continue reading Notes from Monday’s Madison School Board Meeting →