Category Archives: Reference

These are materials for teachers and parents, and you’ll find, in this category, teachers copies and answer keys for worksheets, quotes related to domain-specific knowledge in English Language Arts and social studies, and quotes on issues of professional concern. See the Taxonomies page for more about this category.

A Super Multiplication Table

As a child, I enjoyed math in school and did fairly well at it. I liked the symmetry and order of numbers, and found multiplication a particularly scintillating procedure (and yes, I am serious; I was a weird kid). By the time I crossed the Rubicon from fractions and decimals into algebra, I could already see I was in trouble. For some reason, I could never get right orders of operations and other algebraic procedures. For some reason I felt, and continue to feel, ashamed of this intellectual inadequacy.

Of course, I am tempted to blame my math teachers in middle school, who were indeed dismal; both of my eighth grade math teachers clearly hated kids. Since I was getting more than enough of that sentiment elsewhere in my life at the time, I avoided them. So I suppose I am at fault as well.

Unsurprisingly, I have been and remain a terrible math teacher. I’ve developed some literacy lessons on both math and science, but they are more reading comprehension work than actual cognitive work in the domains themselves. That said, I have become interested (to some extent for obvious personal reasons) in helping struggling students improve their own understanding of the math curriculum they are expected to master. To that end, I’ve proposed to a colleague in the mathematics department at my school that we collaborate on developing some math learning supports for our struggling students.

This morning I wrote this super multiplication table as a start on this endeavor. I know this doesn’t necessarily augur great sophistication in this project; it’s worth considering, however, how many students who struggle with math do so because they never learned their multiplication tables. As with all of the material posted on Mark’s Text Terminal, this is a Microsoft Word document that you can chop and repurpose as many times as your circumstances require. Indeed, you may end up with as many versions of this as you have students.

If you find typos in this document, I would appreciate a notification. And, as always, if you find this material useful in your practice, I would be grateful to hear what you think of it. I seek your peer review.

The Proverbial Joy of Skepticism

“The believer is happy; the doubter is wise.”

Hungarian Proverb

Excerpted from: Winokur, Jon, ed. The Portable Curmudgeon. New York: Plume, 1992.

Rotten Reviews: George Bernard Shaw Assesses Shakespeare’s Antony and Cleopatra

“To say that there is plenty of bogus characterization in it…is merely to say that it is by Shakespeare.”

George Bernard Shaw, Saturday Review 1897

Excerpted from: Bernard, Andre, and Bill Henderson, eds. Pushcart’s Complete Rotten Reviews and Rejections. Wainscott, NY: Pushcart Press, 1998.

John Adams on Freedom and Education

“Liberty cannot be preserved without general knowledge among the people.”

John Adams (1736-1826)

Excerpted from: Howe, Randy, ed. The Quotable Teacher. Guilford, CT: The Lyons Press, 2003.

Robert Frost on Our Financial Institutions

“A bank is a place where they lend you an umbrella in fair weather and ask for it back again when it begins to rain.”

Robert Frost

Excerpted from: Winokur, Jon, ed. The Portable Curmudgeon. New York: Plume, 1992.

Rotten Reviews: Voltaire on Hamlet

“It is a vulgar and barbarous drama, which would not be tolerated by the vilest populace of France, or Italy…one would imagine this piece to be the drunken savage.”

Voltaire, (1768), The Works of M. de Voltaire 1901

Excerpted from: Barnard, Andre, and Bill Henderson, eds. Pushcart’s Complete Rotten Reviews and Rejections. Wainscott, NY: Pushcart Press, 1998.

What Office Indeed? Harriet Martineau on Teaching

“What office is there which involves more responsibility, which requires more qualifications, and which ought, therefore, to be more honourable, than that of teaching?”

Harriet Martineau (1802-1876)

Excerpted from: Howe, Randy, ed. The Quotable Teacher. Guilford, CT: The Lyons Press, 2003.

Emerson on the Importance of a Free Press

“Democracy becomes a government of bullies, tempered by editors.”

Ralph Waldo Emerson

Excerpted from: Winokur, Jon, ed. The Portable Curmudgeon. New York: Plume, 1992.

Strategies for Creating Cognitive Apprenticeships

During the month of July, I generally try to work on planning and professional development, so I’ve had my nose in both for the past three weeks. The summer’s reading is The Cambridge Handbook of the Learning Sciences, which, 205 pages in, I have not found as useful to my own practice as I did The Cambridge Handbook of Literacy. Still, there are plenty of important ideas articulated in the book (Cambridge University Press has thoughtfully posted as a giveaway this PDF of the introduction to the book, by its editor, R. Keith Sawyer; if you search The Cambridge Handbook of Literacy, you’ll find a couple of different PDFs from its pages for free download as well.)

One of the first articles in this volume is by Allan M. Collins, who, as you can see from his Wikipedia page, is an important figure in the learning sciences. I like his ideas about cognitive apprenticeship. Here is an outline describing cognitive apprenticeship strategies that I took from his article and typed into a Word document.

I hope you find it useful.

J.D. Salinger (and Holden Caulfield) on Teachers

“You can’t stop a teacher when they want to do something. They just do it.”

J.D. Salinger, The Catcher in the Rye (1951)

Excerpted from: Howe, Randy, ed. The Quotable Teacher. Guilford, CT: The Lyons Press, 2003.