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Prepare a list of the calculations from the flash cards on a sheet of paper. These can be on a template, with multiplication facts at the appropriate level pulled and copied for the student. On these forms, include three columns next to each multiplication question, labeled “correct repeat,” “correct wait,” and…
I recognize Map Readers because they often like to work independently, but they are most comfortable when they have specifi c instructions or procedures to follow. Th ey often take more time and work deliberately, showing all their steps on homework or taking detailed notes in class or during group work. Explorers are…
It’s a common misconception that someone who’s good at math is someone who can compute quickly and accurately. But mathematics is a broad discipline, and there are many ways to be smart in math. Some students are good at seeing relationships among numbers, quantities, or objects. Others may be creative problem…
As reported previously, the strongest influence on maternal infant bonding (MFA) in the regression analysis was a woman‘s perception of her birth experience (POBS) as revealed by an R-squared of 0.055, p < 0.01, which represents 5.5% of the proportion of variation in maternal infant bonding. Furthermore, the…
Stanislas Dehaene brings up the Ramanujan-G.H.Hardy anecdote concerning the number 1729. The idea of running through the cubes of all integers from 1 to 12 in order to arrive at Ramanujan's spontaneous recognition of 1729 as the smallest positive integer that can be written in two distinct ways as the sum of two…
Working with the Choices Program at Brown University, Zupin and a team of social studies teachers in Indiana found that "fishbowls" are a particularly effective strategy for keeping the peace during a controversial political discussion. A group of five to seven students sit in an inner circle (the fishbowl)…
In 2008, the National Institute of Literacy issued its report, Developing Early Literacy: Report of the National Early Literacy Panel, and, among its many findings, stated that the foundational reading and writing skills that develop from birth to age five have a clear and consistently strong relationship with later…
“Do not squander time,” said Benjamin Franklin, “for that is the stuff life is made of.” Our consciousness, even more than it is posted in space, unrolls in time. I can imagine abolishing space from my awareness—if, say, I were floating in a sensory deprivation tank or became blind and paralyzed—while still continuing…
“In One Dimensions, did not a moving Point produce a Line with two terminal points? In two Dimensions, did not a moving Line produce a Square wit four terminal points? In Three Dimensions, did not a moving Square produce - did not the eyes of mine behold it - that blessed being, a Cube, with eight terminal points? And…
Imagine a vast sheet of paper on which straight Lines, Triangles, Squares, Pentagons, Hexagons, and other figures, instead of remaining fixed in their places, move freely about, on or in the surface, but without the power of rising above or sinking below it, very much like shadows—only hard with luminous edges—and you…
What and where is Flatland? A Square gives us several interesting answers, many of th contradictory. We know that it’s flat, big (but how big?), and very thin, the most important question of all is “how thin?” A lot depends on the answer… A Square himself eliminates the version that’s easiest for three-dimensional…
The bombshell is that the Flynn Effect is almost certainly environmental. Natural selection has a speed limit measured in generations, but the Flynn Effect is measurable on the scale of decades and years. Flynn was also able to rule out increases in nutrition, overall health, and outbreeding (marrying outside one’s…
Now let’s turn to the present. According to the most recent edition of the Statistical Abstract of the United States, 2,448,017 Americans died in 2005. It was one of the country’s worst years for war deaths in decades, with the armed forces embroiled in conflicts in Iraq and Afghanistan. Together the two wars killed…
How can we determine the happiest society? As Derek Parfit and others have pointed out, even if you can precisely measure the happiness of each individual, this remains a vexingly hard question. Should we choose the society with the highest total happiness? If so, then a trillion people living miserable lives (but not…
We humans haven't changed much since our remote ancestors roamed the African savannah. Our brains evolved to cope with the human-scale environment. So it is surely remarkable that we can make sense of phenomena that confound everyday intuition: in particular, the minuscule atoms we're made of, and the vast cosmos that…
A child stacks and packs all kinds of blocks and boxes, lines them up, and knocks them down. What is that all about? Clearly, the child is learning about space! But how on earth does one learn about time? Can one time fit inside another? Can two of them go side by side? In music, we find out! It is often said that…
Thus, your knowledge is represented in various forms that are stored in different regions of the brain, to be used by different processes. What are those representations like? In the brain, we do not yet know. However, in the field of Artificial Intelligence, researchers have found several useful ways to represent…
Our earth has orbital motion, revolving once around the sun in about 365 days. Suppose that this orbital motion suddenly stopped completely, but everything else remained the same. How long would it take for the earth to plunge along a straight line into the sun? [...] Kepler's law applies to planetary orbits, whether…
Does the amount of time children spend with their mothers matter for children’s behavioral, emotional, and academic outcomes? The results from ordinary least squares regression models for the child sample are shown in Table 2. There were no statistically significant associations between maternal time of either type…
A roleplaying game (or RPG, for short) is part noémprovisational theater, part storytelling, and part game. A single person (the gamemaster) runs the game for a group of players that pretend to be characters in a fictitious world. The world could be a mystery game set in the 1920s that takes you adventuring around the…