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This is not an isolated event—schools across the country regularly ban finger use in classrooms or communicate to students that they are babyish. This is despite a compelling and rather surprising branch of neuroscience that shows the importance of an area of our brain that “sees” fingers, well beyond the time and age that people use their fingers to count.

Remarkably, brain researchers know that we “see” a representation of our fingers in our brains, even when we do not use fingers in a calculation

Evidence from both behavioral and neuroscience studies shows that when people receive training on ways to perceive and represent their own fingers, they get better at doing so, which leads to higher mathematics achievement. The tasks we have developed for use in schools and homes (see below) are based on the training programs researchers use to improve finger-perception quality.

The big questions on today’s blackboard is how to make math relevant for tomorrow,

“At the beginning of the 20th century, Latin was a required subject – it was seen as fundamental,” he says, to show how, as society changes, so does what it values. “By the end of century, Latin was gone. What will mathematics be by the end of this century?”

Dr. Small is showing a third option for two-number multiplication when a father raises his hand and asks: “But what’s the most efficient way?”“What’s your definition of efficient?” Dr. Small responds. “I think it’s probably the calculator.”

ust as advances in technology enabled the growth of science, the extremely rapid growth of technology we’re experiencing today is impacting our perspectives, tools, and priorities now. But beyond some mild clamor for a focus on “STEM,” there have been only minor changes in how we think of content–this is spite of extraordinary changes in how students connect, access data, and function on a daily basis.

What kind of changes might we expect in a perfect-but-still-classroom-and-content-based world? What might students learn in the future? Of course any response at all is pure speculation, but if we draw an arc from classical approaches to the Dewey approach to what might be next–factoring in technology change, social values, and criticisms of the current model–we may get a pretty decent answer. This assumes, of course a few things (all of which may be untrue): 1. We’ll still teach content 2. That content will be a mix of skills and knowledge 3. Said skills and knowledge will be thematically arranged into “content areas”

The Content Of The Future: 8 Content Areas For Tomorrow’s Students 1. Literacy Big Idea: Reading and writing in physical & digital spaces Examples of traditional ideas and academic content areas included: Grammar, Word Parts, Greek & Latin Roots, The Writing Process, Fluency; all traditional content areas 2. Patterns Big Idea: How and why patterns emerge everywhere under careful study Examples of traditional ideas and academic content areas include: Grammar, Literature, Math, Geometry, Music, Art, Social Studies, Astronomy 3. Systems Big Idea: The universe—and every single thing in it–is made of systems, and systems are made of parts. Examples of traditional ideas and academic content areas include: Grammar, Law, Medicine, Science, Math, Music, Art, Social Studies, History, Anthropology, Engineering, Biology; all traditional content areas by definition (they’re systems, yes?) 4. Design Big Idea: Marrying creative and analytical thought Examples of traditional ideas and academic content areas include: Literature, Creativity, Art, Music, Engineering, Geometry 5. Citizenship Big Idea: Responding to interdependence Examples of traditional ideas and academic content areas include: Literature, Social Studies, History; Civics, Government, Theology 6. Data Big Idea: Recognizing & using information in traditional & non-traditional forms Examples of traditional ideas and academic content areas include: Math, Geometry, Science, Engineering, Biology; 7. Research Big Idea: Identifying, evaluating, and synthesizing diverse ideas Examples of traditional ideas and academic content areas include: English, Math, Science; Humanities 8. Philosophy Big Idea: The nuance of thought Examples of traditional ideas and academic content areas include: Ethics, Literature/Poetry, Art, Music; Humanities

To hear some ed tech enthusiasts tell it, online learning is sweeping aside the barriers that have in the past prevented access to education. But such pronouncements are premature. As it turns out, students often carry these barriers right along with them, from the real world into the virtual one.

These dismally low numbers provide a reminder that “access” to education is more complicated than simply throwing open the digital doors to whoever wants to sign up. So how can we turn the mere availability of online instruction in STEM into true access for female students?

One potential solution to this information-age problem comes from an old-fashioned source: single-sex education. The Online School for Girls, founded in 2009, provides an all-female e-learning experience.

explains some of the individual differences that influence problem solving

psychologist David Jonassen

Given the reality of all these differences, how can I even dream of a functional classroom in which every student is learning at their own learning edge?