Tag Archives: numeracy

A Mathematician’s Lament

This reading, “A Mathematician’s Lament” by Paul Lockhart is something my pal Bob Shepherd at Praxis sent my way. I regret admitting that I haven’t read it in its entirety, but if Bob says it’s worth my time, I am confident it is. This essay, which Mr. Lockhart expanded into a book, is available all over the Internet as a PDF, so, happily, I’m violating no copyright in placing it here on Mark’s Text Terminal.

A Short Worksheet on the Commutative Law of Addition

Let me continue to offer some of the materials I’m working up to teach math with this worksheet on the Commutative Law of Addition along with its answer key

If you find typos in these documents, 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.

A Short Worksheet on the Associative Law of Addition

On this cool and damp morning in Vermont, here is a short worksheet on the Associative Law of Addition and its answer key if you can use them.

If you find typos in these documents, 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.

Four Very Basic Addition Worksheets

I’ve been assigned a math class this year. I’m not exactly well-suited to teach math; I struggled with it as a student, and really never made it past pre-algebra in high school. Nonetheless, I’m charged with teaching the subject. My students certainly deserve a better math teacher than I am–something I mention to them a couple of times a week.

In any case, here are four addition worksheets and their answer keys that I wrote for this class. There are a number of things I’m trying to assess with this preliminary work in the subject, one of the most important of which is any given student’s fund of working memory, a cognitive ability simply essential for math. You will see some problems repeat in different orders in an attempt to see if student recognize that they’ve seen the problem before. Also, using the same problem in different order gives students a chance to rehearse the commutative law of addition and teachers a chance to assess students’ understanding of this key concept in basic operations of mathematics.

If you find typos in these documents, 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.

A Learning Support on the Laws and Properties of Addition and Multiplication

OK, very quickly on a chilly Tuesday morning in southwestern Vermont, here is a learning support on the laws and properties of addition and multiplication.

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.

A Learning Support on Equivalent Fractions

Wrapping up on a very productive Friday, here is a learning support on equivalent fractions if you can use it. I’m compiling an inventory of materials to teach kids who–like me–struggle with the subject. If you find these useful, be on the lookout for more in the next couple of weeks.

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.

A Glossary of Words Related to Decimals Math

Maybe you can use this basic glossary of fractions terms that I just whipped in preparation for teaching this material to my math class.

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.

Term of Art: Dyscalculia

“Dyscalculia: Impairment of the ability to do arithmetic.

[From Greek dys– bad or abnormal + Latin calculare to count, from calculus diminutive of calx a stone + ia indicating a condition or quality]”

Excerpted from: Colman, Andrew M., ed. Oxford Dictionary of Psychology. New York: Oxford University Press, 2003.

A Glossary of Basic Fractions Terms

I’ve been assigned a math class this year; the domain in general is not one with which I did well as a student, so I am, needless to say, insecure about teaching it. I just whipped up this basic glossary of fractions terms–although I’m not sure now whether or not this is for my students or myself. In either case, this document contains all the basic terms students needs to know to understand the basic structure and nature of fractions.

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.

Dante’s 11

Dante was a keen follower of Pythagoras, the sixth-century BC Greek philosopher and mathematician who sought to explain the world, both spiritual and material, by numbers. Pythagoras believed that the mathematical principles that underlay the universe, gave it harmony, literally a music of the spheres. Dante, in his great work, Divine Comedy, sought to create the divine song.

The key number for Dante was 11—the union of 5 and 5—and its multiples. The Inferno, Purgatorio, and Paradiso, have thirty-three cantos each, and the poem is written in hendecasyllabic rhyme (eleven syllables long). Dante twice provides dimensions of Hell, stating that that circumference of the ninth bolgia (ditch) in the Eighth Circle is 22 miles (miglia ventidue), and the tenth bolgia is 11 miles. There is nothing accidental about this mention of 11 and its multiple 22; twenty-two forms part of the well-known fraction 22/7 which expresses the Pythagorean value of pi.

Three and nine also figure prominently in Dante’s numerology. The three books of the Divine Comedy delineate the nine circles of Hell, the nine rings of Mount Purgatory and the nine celestial bodies of Paradise.”

Excerpted from: Rogerson, Barnaby. Rogerson’s Book of Numbers: The Culture of Numbers–from 1,001 Nights to the Seven Wonders of the World. New York: Picador, 2013.