Monthly Archives: October 2019

Term of Art: Zone of Proximal Development

zone of proximal development: The gap between the level of a student’s independent function and how he or she may perform learning tasks with help. This term was coined by the Russian psychologist Lev Vygotsky (1896-1934) and refers to the fact that it is crucial to provide help before a child gets frustrated. Failure can be avoided when teachers are aware of a student’s zone of proximal development and provide just enough support to enable students to achieve a goal that would not have been possible independently.

This concept may play a key role in educational approaches, in that it represents a way of thinking about what is involved in meeting students’ needs, and of understanding teaching and learning as a dynamic and developmental process, rather than as a static juxtaposition of instruction and learning readiness.

This theory allows a teacher to see a student’s learning problems not as impediments but rather as a starting point for a process of development that challenges students within the scope of what they are able to master successfully with the appropriate instruction. An approach to teaching that incorporates this concept must also mean that a teacher begins to teach a child at his or her current level, rather than at arbitrary curricular standards.”

Excerpted from: Turkington, Carol, and Joseph R. Harris, PhD. The Encyclopedia of Learning Disabilities. New York: Facts on File, 2006.

Two Worksheets on the Commutative Property of Multiplication

Unless my schedule changes again (always a possibility, alas). these two worksheets on the commutative law of multiplication will be the last math-related material you’ll see on Mark’s Text Terminal for awhile.

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.

Historical Terms: Balance of Power

Balance of power: Diplomatic policy aimed at securing peace, particularly in Europe, by preventing any one state of alignment of states from attaining hegemony or military strength dangerous to the independence and liberty of the others. The policy is thus based on the maintenance of a counter-force equal to that of potential hegemonists. Britain had pursued such a policy for centuries to counter French predominance, but from 1904 to 1914 attempted to balance German power through the Entente Cordiale. A balance emerged between the Triple Entente of Britain, France and Russia and the Triple Alliance of Germany, Austria and Italy. Between the world wars, Britain at first attempted to balance French power by facilitating the rapid recovery of Germany, but later abandoned her balance of power policy in favor of appeasement….”

 Excerpted from: Cook, Chris. Dictionary of Historical Terms. New York: Gramercy, 1998.

Two Basic Worksheets for Subtraction

Now, as it happens, I am not teaching math after all. So, I have a few more things I can post that I developed as I worked toward building a scaffolded curriculum for the basic operations. These two basic subtraction worksheets are the first of four more posts I’ll publish containing these materials.

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.

365 Days of Haab

365 Days of Haab: The Mayan solar calendar was divided into eighteen twenty-day months (vigesimal notation). This produced 360 days, or one tun. In common with many religious calendars of the world, the shortfall of five extra days added on to make the 365 days of the solar year was a spirit-haunted period of ill omen, the five nameless Wayab days.

The habit of multiplying by 20 continued beyond the year, so that twenty tun (almost a solar year) is a katun, which was a great unit of time commemorated with inscribed standing stones and pyramid temples. Twenty katuns produced a baktun and twenty baktuns produce a piktun of 7,885 solar years. We have not quite got to a piktun, though quite recently, at the winter solstice of 2012, we celebrated the completion of thirteen baktuns which some observers too to be a possible date for the end of the world. The thirteen-baktun date (21-12-2012), which was safely achieved, begins by starting the calendar back at Year One in 3113 BC.”

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.

Cultural Literacy: Pablo Picasso

OK, here, to wrap up the week, is a Cultural Literacy worksheet on Pablo Picasso.

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.

Andres Bello

Bello, Andres (1781-1865) Venezuelan, scholar, poet, humanist, and educator. He was one of the great figures of nineteenth-century Latin America, often referred to as the intellectual father of the continent. His complete works total twenty-six volumes. Bello studied classical literature, law, and philosophy. His interest in science was stimulated by having known Alexander von Humboldt. He was active in the wars of independence through his political work in Europe, primarily England, where he lived for almost twenty years. There he met Bentham and James Mill and translated Byron. A poet greatly influenced by Spain’s Golden Age writers (Garcilaso, Lope de Vega, and Calderon), in Britain Bello wrote his best-known verses: Alocucion a la poesia (1823; tr in The Odes of Bello, Olmedo, and Heredia, 1920), asserting Latin America’s right to literary independence; and La agricultura de la zona torrida (1826; tr A Georgic of the Tropics, 1954), notable for its description of the plants of America, in which realistic detail is combined with Horatian overtones. Yet, along with Bello’s exaltation of America through nature or culture, there is a sadness and solitude evoked, as well as a bitterness that true liberty had yet to be realized in the newly established republics.

From 1829 to his death he resided in Chile. In 1830 he started the newspaper El Araucano and was its principal editor until 1853. He was founder and first president of the University of Chile (1842), and was the chief architect of the Chilean civil code (1855), also adopted in Ecuador and Colombia. Though a creature of the Enlightenment, Bello was also close to the Romantic movement. Bello’s Gramatica de la lengua castellana (1847). still considered an important grammar, advocated the enrichment of the Spanish language. His vast culture–humanistic, scientific, and legal–was dedicated to writing manuals and other works with a pedagogic purpose, within a liberal humanist tradition. Other works available in English include the Anthology of Andres Bello (1981) and his Filosofia del entendimiendo (1881; tr Philosophy of the Understanding, 1984).”

Excerpted from: Murphy, Bruce, ed. Benet’s Reader’s Encyclopedia, Fourth Edition. New York: Harper Collins, 1996.

The Weekly Text, October 4, 2019, Hispanic Heritage Month 2019 Week III: A Reading and Comprehension Worksheet on the War of the Philippines Insurrection

When I prepare materials for Hispanic Heritage Month (of which, alas, as I previously mentioned in these pages, I currently suffer a shortage), I tend to perceive the materials along a narrow range of topics, related almost solely to people and events in the Americas. As this web page from Catholic Relief Services observes, “Hispanics and Latinos are not necessarily the same. Hispanics are descended from Spanish speaking populations. Latinos are people of Latin American descent.” I’m no expert on this. If you are, I’d be greatly obliged if you could weigh in on this topic.

What I do know about the Hispanic World derives both from my own education and my travels across South America. For me, the most salient characteristic of the Hispanic world is that it was, in its entirety, subject to imperial exploitation and expropriation. Therefore, one of the unfortunate products of the Spanish presence in the new world is that legacy.

In any case, I think under the definitions limned above (again, if you have scholarly knowledge of this, I would be extremely grateful for some clarification of this issue), I can safely post, as part of Mark’s Text Terminal’s observance of Hispanic Heritage Month 2019, this reading on the War of Philippines Insurrection and its attendant vocabulary-building and comprehension worksheet.

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.

Book of Answers: Carlos Fuentes

In what language does Carlos Fuentes write? Mexico’s best known author (The Death of Artemio Cruz, 1962; The Old Gringo, 1985) first began writing in English, but has since switched to his native language, Spanish.

Excerpted from: Corey, Melinda, and George Ochoa. Literature: The New York Public Library Book of Answers. New York: Simon and Schuster, 1993.

Three Worksheets on Rounding Numbers

Here are three worksheets on rounding numbers I wrote yesterday. I plan to use them in the run-up to a longish unit on multiplication.

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.