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Problems Without Figures For Fourth to Eighth Grade

A Math book for “High Schools and Normal Schools by S.Y. Gillan [9.6MB PDF]:

Arithmetic can be so taught as to make the pupil familiar with thc fact that we may use a number in a problem without knowing what particular number it is. Some of the fundamentals of algebra may thus be taught along with arithmetic. But, as a rule, whenever any attempt is made to do this the work soon develops or degenerates into formal algebra, with a full quota of symbolism, generalization and formulae — matter which is not wholesome pabulum for a child’s mind and the result has been that teachers have given up the effort and have returned to the use of standardized knowledge put up in separate packages like baled hay, one bale labeled “arithmetic,” another “algebra,” etc.
Every problem in arithmetic calls for two distinct and widely different kinds of work: first, the solution, which involves a comprehension of the conditions of the problem and their relation to one another; second, the operation. First we
decide what to do; this requires reasoning. Then we do the work; this is a merely mechanical process, and the more mechanical the better. A calculating machine, too stupid to make a mistake, will do the work more accurately than a
skillful accountant. Adding, subtracting, multiplying and dividing do not train the power to reason, but deciding in a given set of conditions which of these operations to use and why, is the feature of arithmetic which requires reasoning.
The problems offered here will furnish material to promote thinking; and a few minutes daily used in this kind of work will greatly strengthen the pupils’ power to deal with the problems given in the textbook.
After consultation with teachers, the author decided to print the problems without regard to classification. They range all the way from very simple work suitable for beginners up to a standard adapted to the needs of eighth grade pupils. As a review in high school and normal school classes the problems may be taken in order as they come, and will be found Interesting and stimulating. For pupils in the grades, the teacher will Indicate which ones to omit; this discrimination will be a valuable exercise for the teacher.
A few “catch problems” are put in to entrap the unwary. To stumble occasionally into a pitfall makes a pupil more watchful of his steps and gives invigorating exercise in regaining his footing. The groove runner thus learns to use his wits and see the difference between a legitimate problem and an absurdity.
It is recommended that these exercises be used as sight work, the pupils having the book in hand and the teacher designating the problems to be solved without previous preparation.
S. Y. GILLAN.
Milwaukee, Wisconsin, May 21, 1910.

Many thanks to Dick Askey for providing a copy (the!) of this book.
From the book:

To answer in good, concise English, affords an excellent drill in clear thinking and accurate expression. This one is suitable for high school, normal school and university students, some of whom will flounder in a most ludicrous fashion when they first attempt to give a clear-cut answer conforming to the demands of mathematics and good English.
224. After a certain battle the surgeon sawed off several wagon loads of legs. If you are told the number of legs in each load and the .price of a cork leg, how can you find the expense of supplying these men with artificial legs? Writeout a list of twenty other expense items incurred in the fighting of a battle.
225. The American people spend each year for war much more than for education. If you know the total amount spent for each purpose, how can you find the per capita expense for war and for schools?
227. A boy travels from Boston to Seattle in a week. Every day at noon he meets a mail train going east on which he mails a letter to his mother in Boston. If there is no delay, how frequently should she receive his letters?

Contentless Writing

Mr. Fitzhugh [fitzhugh@tcr.org] is Editor and Publisher of The Concord Review and Founder of the National Writing Board and the TCR Institute [www.tcr.org].
Abraham Lincoln’s address at Gettysburg was short. Indeed, the President had spoken and taken his seat before many in that large crowd gathered outdoors even realized that he had spoken. Fortunately, an alert reporter took down his words. Short as the speech was, it began with a date and a fact–the sort of factual content that is being drained away from student writing today.
The very idea of writing without content takes some getting used to. I was taken aback not long ago to read the comments of a young woman who had been asked how she felt about having a computer grade the essays that she wrote on the Graduate Management Admission Test (Mathews, 2004). She replied that she didn’t mind, noting that the test givers were more interested in her “ability to communicate” than in what she actually said.
Although style, fluency, tone, and correct grammar are certainly important in writing, folks like me think that content has value as well. The guidelines for scoring the new writing section on the SAT seem to say otherwise, however. Readers evaluating the essays are told not to take points off for factual mistakes, and they must score the essays “holistically”–at the rate of 30 an hour (Winerip, 2005).
Earlier this year, Linda Shaw of the Seattle Times (2006), reported that the the rules for the Washington Assessment of Student Learning (WASL) do not allow dictionaries, but “when it comes to the writing section, there’s one rule they can break: They can make things up. Statistics. Experts. Quotes. Whatever helps them make their point.” According to Shaw, the state’s education office announced that “making up facts is acceptable when writing nonfiction, persuasive essays on the WASL.”
Lest you conclude that writing without content, or writing nonfiction with fictional content–think James Frey’s A Million Little Pieces–is limited to the Left Coast, think again. Across the United States, even the most prestigious writing workshops for teachers generally bypass the what to focus on the how.
All writing has to have some content, of course. So what are students encouraged to put down on the page? In its 2003 report, The Neglected ‘R’, The National Commission on Writing in America’s Schools and Colleges, gave us a clue. According to the report, the following passage by a high school student about the September 11 terrorist attacks shows “how powerfully children can express their emotions.”
“The time has come to fight back and we are. By supporting our leaders and each other, we are stronger than ever. We will never forget those who died, nor will we forgive those who took them from us.”
Or look at the National Assessment of Educational Progress (NAEP) the supposed gold standard for evaluating academic achievement in U.S. schools, as measured and reported by the National Center for Education Statistics. In its 2002 writing assessment, in which 77 percent of 12th graders scored “Basic” or “Below Basic,” NAEP scored the following student response “Excellent.” The prompt called for a brief review of a book worth preserving. In a discussion of Herman Hesse’s Demian, in which the main character grows up and awakens to himself, the student wrote,

Want Schools to Work? Meet the Parents

Sandra Tsing Loh, making sense, continues her whirlwind media tour, this time at the Washington Post (thanks to a kind reader’s email for this link):

Yea, public school parents’ priorities are routinely placed below those of building inspectors, plant managers, even, given an errant bell schedule, cafeteria workers. Although, teachers are down in the bunkers with us, too. You’d be amazed how many extraordinary schoolteachers, who’ve served faithfully, conscientiously, daily for 40 years, just keep their heads down at this point.
Since most politicians have never dealt with U.S. public schools as customers themselves (in the same way that precious few of them put their own children in the Army), it might shock you, Mr. Future President, how poorly parents are treated out here in Public-School-Landia. You know how when you walk into a Wal-Mart or a McDonald’s, someone greets you with, “Hello! May I help you?” It’s startling how seldom you can expect this basic courtesy in public schools, how often we parents approaching the counter are treated as felons, or more often simply ignored by the frantically typing office-administrator-type-person. It’s a peculiar thing, in this 21st century. Forget best-practice research and technology-driven classrooms. I really believe if anyone in the multibillion-dollar industry called U.S. public education were ever listening to us, improved schools would start, simply, with this: “Hello! May I help you?”
Where does this culture of committee-oriented time wastage — even for parents who work — spring from? Here’s a clue. L.A. Unified recently faced such a budget shortfall that the district was actively recruiting potential save-our-schools spokesparents to submit their resumes and come to the central offices for “media training” if selected. Cut to the bone as it is, though, next year’s budget still slates a hefty $78.8 million for consultants (last year a consultant was paid $35,000 to teach our superintendent how to use a computer). And yes, I realize that I’m getting off-message by noting that our school district wastes money.. . . That’s like waving red meat in front of America’s seniors, who’ll probably vote to cut taxes again! Even though it’s not the bureaucracy, but the children who get squeezed. That’s all budget cuts mean, in the end. My kids have their assemblies on cracked asphalt. Now the cracked asphalt will have weeds.
But here’s the good news, Mr. Future President. In a testament to the incredible can-do American spirit (and I mean that in the most drop-dead-serious way), activist public school parents are fighting back against U.S. public education’s wasteful and unresponsive corporate “professionalism.” (Remember George Bernard Shaw’s quip about the professions being “conspiracies against the laity”?) City by city, homegrown “parents for public schools”-style Web sites are springing up daily, little rebel force fires on the horizon. From New York to Chicago, Seattle to San Francisco and beyond, activist parents are starting to blog their outrage over millions of education dollars wasted on non-working computer technology, non-child-centered programs and, of course, those entities whose education dollars are never, ever cut — the standardized-testing companies.

Some years ago, I sketched a chart illustrating the influence of various factions on our nearly $400M local school system. Topping the list were Administrators of both the school system and local teachers union. Far down were teachers (think of the “downtown math police”) and parents. Further still were students themselves. Taxpayers were not represented.
Observing public education rather closely for a number of years, it seems to me that all players, especially teachers, parents and students, would be better off with a far more diffused governance model (charters, smaller districts/schools, choice?).

Bellevue, WA Teacher Strike: District Offers Teachers a 5% Raise over 3 Years

Lynn Thompson:

The Bellevue School District increased its salary offer to teachers in a late-night bargaining session Thursday.
The total pay raise would be 5 percent over the three-year contract.
Union officials praised the move and said they planned to hold an “optimism” rally at Crossroads Park in Bellevue today while bargaining was expected to continue.
“It’s a move in the right direction,” said Michele Miller, Bellevue Education Association president.
The school district initially offered teachers 3 percent in wage increases over the three-year contract but raised the offer to 4.5 percent last week, saying the increase was contingent on voter approval of a levy in the third year of the contract.

Bellevue, WA Teacher Salary Schedule with 2008-2009 District Offer: 16k PDF
Curriculum is also an issue in this strike [32K PDF]:

Language Arts 4th – 12th grade: Many teachers believe there far too few lessons on punctuation and grammar. You cannot add lessons in these areas, since that might supplant the scripted lesson goal of the day.

Middle School Math: Since the district only allows one level of math at each grade in Middle School, there are many bored and overwhelmed students simultaneously stuck in the same class. The District’s current curriculum proposal wouldn’t allow a teacher to develop entirely new topics of instruction to engage the bored students. Additionally, while teachers would be allowed to make small adjustments for struggling kids, they couldn’t use those changes the following year without the approval of the Curriculum Department.

Certainly, Math and writing skills are fertile ground for curriculum controversy.
I asked Madison’s three superintendent candidates earlier this year if they supported a “top down” curricular approach or, simply hiring the best teachers. It’s hard to imagine a top down approach actually working in a large organization.

Does State Education Funding Shortchange Our Children?

Marietta Nelson:

Schools receive local property tax money through levies and federal money, but the majority of funding comes from the state.
The current public education funding system emerged from a 1977 state Supreme Court decision in which Seattle schools sued the state over inadequate funding. The ruling held that the state must fund equally across districts a “basic education” program that went beyond reading, writing and math. Subsequent court rulings over the years have expanded the formula, resulting in an extremely complex system.
It’s been called antiquated, outdated, ossified. Even Byzantine.
“Our system is pretty equitable now in that everyone gets ripped off,” Hyde said. “Just think, do you live now like you lived 30 years ago?”
The formula begins with all schools receiving a basic education allocation per student. The allocation varies from district to district based on teacher experience and education levels, teacher-student ratios, allocations for administrators and classified staff and several other factors.

The article includes a number of interesting comments.

Sham Standards

Joanne Jacobs:

Kate Riley’s 10-year-old son received a letter of congratulations signed by Washington’s governor and state superintendent.

“Congratulations!’ it started. “… We are very proud of you, and you should be very proud of yourself.”
Apparently, my son “achieved the state reading, writing and mathematics learning standards.”

But her autistic son, who spends most of his time in a special-education classroom, is years behind. He “can read some words, can add a little and can barely draw a straight line.”
An editorial writer, Riley has backed high standards since she tutored a 30-year-old high school graduate with a third-grade reading level. But she agreed that students with special needs should have alternative ways to show mastery of the standards, such as providing a portfolio of work.

Gates Foundation’s Small Learning Communities Have Yet to Yield Big Results

Linda Shaw: The experiment — an attempt to downsize the American high school — has proven less successful than hoped. The changes were often so divisive — and the academic results so mixed — that the Gates Foundation has stopped always pushing small as a first step in improving big high schools. Instead, it’s now […]

ACT scores are best in 20 years, with a catch, MMSD Curriculum & Upcoming Elections

The issue of curriculum quality and rigor continues to generate attention. P-I:

The good news is that the high school class of 2006 posted the biggest nationwide average score increase on the ACT college entrance exam in 20 years and recorded the highest scores of any class since 1991.
The bad news is that only 21 percent of the students got a passing grade in all four subject areas, including algebra and social science.
“The ACT findings clearly point to the need for high schools to require a rigorous, four-year core curriculum and to offer Advanced Placement classes so that our graduates are prepared to compete and succeed in both college and the work force,” Education Secretary Margaret Spellings said in Washington, D.C.

Alan Borsuk has more:

Wisconsin high school graduates are better prepared to succeed in college than students nationwide – but that means only that more than 70% of state students are at risk of having trouble in one or more freshman-level subjects while the national figure is almost 80%, according to ACT, the college testing company.
The message still isn’t getting across,” Ferguson said in a telephone news conference. If students want to go to college and do well, they have to take high school seriously and take challenging courses, he said.
ACT results showed that students who took at least four years of English and three years each of math, science and social studies in high school did substantially better on the tests (22.9 in Wisconsin, 22.0 nationwide) than those who took lighter loads in those core areas (21.0 and 19.7, respectively).
Elizabeth Burmaster, Wisconsin’s superintendent of public instruction, said she believes that if schools in Wisconsin stay focused on efforts such as early childhood education and small class sizes in the early grades, combined with strong academic programs in middle school and high school, achievement will go up and racial and ethnic gaps will close.

Individual state data is available here.
Burmaster’s statement, along with the ACT information will increase the attention paid to curriculum issues, such as the ongoing questions over the Madison School District’s math program (See UW Math professor Dick Askey’s statement on the MMSD’s interpration and reporting of math scores). Will we stick with the “same service” approach? This very important issue will be on voters minds in November (referendum) and again in April, 2007 when 3 board seats are up for election. See also the West High School Math Faculty letter and a recent open letter to the Madison School District Board and Administration from 35 of the 37 UW Math Department faculty members. Vaishali Honawar has more.
The Madison School District issued a press release on the recent ACT scores (68% of Wisconsin high school graduates took the ACT – I don’t know what the MMSD’s percentage is):

Madison students who took the 2006 ACT college entrance exam continued to outperform their state and national peers by a wide margin, and the scores of Madison’s African-American test takers increased significantly. Madison students’ composite score of 24.2 (scale of 1 to 36) was higher for the 12th straight year than the composite scores of Wisconsin students and those across the nation (see table below). District students outscored their state peers by 9% (24.2 vs. 22.2,) and their national peers by 15% (24.2 vs. 21.1).
Compared to the previous year, the average ACT composite score among the district’s African-American students increased 6% — 18.8 vs. 17.7 last year. The gap between district African-American and white student ACT scores decreased this year. The relative difference this year was 24% (18.8 vs. 24.8) compared to 30% last year.
Scores also increased this year for the district’s Asian students (22.1 to 23.0) and Hispanic students (21.5 to 21.8).

The Madison School District recently published this summary of student performance vs other similar sized and nearby districts (AP, ACT and WKCE) here. Madison’s individual high schools scored as follows: East 22.9, LaFollette 22.1, Memorial 25.1 and West 25.5. I don’t have the % of students who took the ACT.

I checked with Edgewood High School and they have the following information: “almost all students take the ACT” and their composite score is “24.4”. Lakeside in Lake Mills averaged 24.6. Middleton High School’s was 25 in 2005. Verona High School’s numbers:

222 students took the ACT in 2005-2006.
Our composite score was 23.6 compared to the state at 22.2
87% of test takers proved college ready in English Composition (vs. 77%)
66% of test takers proved college ready in College Algebra (vs. 52%)
77% of test takers proved college ready in Social Science (vs. 61%)
45% of test takers proved college ready in Biology (vs. 35%)
37% of test takers proved college ready in all four areas (vs. 28%)
(#) as compared to the state %

Waunakee High School:

Score HS Mean (Core/Non-Core)
Composite 23.3 (24.3/21.5)
English 22.5 (23.9/19.5)
Mathematics 23.2 (24.2/21.8)
Reading 23.3 (24.1/21.5)
Science 23.7 (24.4/22.7)

McFarland High School’s 2006 Composite average was 23.7. 110 students were tested.
UPDATE: A few emails regarding these results:

Additional comments, data and links here

For School Equality, Try Mobility

Rod Paige: DUMB liberal ideas in education are a dime a dozen, and during my time as superintendent of Houston’s schools and as the United States secretary of education I battled against all sorts of progressivist lunacy, from whole-language reading to fuzzy math to lifetime teacher tenure. Today, however, one of the worst ideas in […]

Leveling the Playing Field: Creating Funding Equity Through Student-Based Budgeting

When the Cincinnati Public Schools devised a reform strategy for improving student performance, it became clear that the district’s traditional budgeting system was inadequate. The authors trace the district’s process of moving to a system of student-based budgeting: funding children rather than staff members and weighting the funding according to schools’ and students’ needs. By […]

Tim Olsen on Generating Cash from the Doyle Administration Land/Building

Tim Olsen’s email to Madison Board of Education Member Ruth Robarts: And below are the specifics you requested re calculating an estimated value for the Doyle site. You are welcome to share this email with anyone interested. And thanks for the opportunity to speak to the Board, for your comments, and for including Lucy Mathiak’s […]

The �No Child� Law�s Biggest Victims

There is overwhelming evidence that gifted students simply do not succeed on their own.




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