Showing posts sorted by date for query MATH. Sort by relevance Show all posts
Showing posts sorted by date for query MATH. Sort by relevance Show all posts

Sunday, June 07, 2026

GOP insider shocks by debunking Republican conspiracy theory: 'What kind of sorcery?'

David McAfee
June 6, 2026
RAW STORY


A California Republican operative went viral this week for doing something unusual in her party: publicly fact-checking a right-wing election conspiracy theory — and refusing to back down when Rasmussen Reports pushed back.

Elizabeth Barcohana, who works with the Los Angeles GOP, stepped in after Rasmussen posted a claim that a single ballot drop in the LA mayor's race had contained zero votes for Republican candidate Spencer Pratt — the reality TV personality from The Hills running for LA mayor — while every other candidate gained thousands. "Virtually every candidate received votes except for Spencer Pratt," Rasmussen wrote. "Impossible."

Barcohana called it false. "No, it did not happen," she posted, sharing a batch composition chart showing Pratt's orange bar appearing consistently across every single ballot drop. "This is fake news." She further noted that Rasmussen was recycling an NBC screenshot taken before the network's graphics team had corrected an error — meaning the "evidence" of fraud was a screenshot of a mistake that had already been fixed.

Rasmussen didn't fold. Instead, the polling firm told Barcohana to "wake up," name-dropped someone it claimed was a federal investigator, and accused her of not understanding "what is going on in national election integrity."

Barcohana's response to an anonymous user cut to the heart of the problem: "THIS is why you don't see Republicans fighting back against all of this. No one believes us no matter what we say when we push back on things that aren't true which demoralize our voters, so they would rather just keep quiet and not hit a hornet's nest of angry voters."

The exchange drew notice across the aisle. "How does one deal with a company that exists to poll elections but then casts doubt on the actual results with loony conspiracy theories?" asked Garrett Archer, a data journalist at ABC15 in Arizona. Damin Toell, a conservative activist, was more pointed, calling Rasmussen "the zombie husk of Rasmussen Reports, which just grifts off garbage conspiracy theories without any concern for how it suppresses Republicans from voting."

Drew Savicki, a political analyst, called it "fascinating watching a California Republican struggling to push back against the online conspiracy theories being promoted by so many in her party."

Republican strategist Mike Madrid kept it simple: "Wait...is this a Republican standing up for math, facts and evidence? What kind of sorcery is this?"



Friday, June 05, 2026

 

Preparing future math teachers to teach data science



Iowa State University
Preparing future math teachers to teach data science 

image: 

“We want to show pre-service math teachers that data science isn’t a separate universe from the math they already study. It's built on it,” said Eric Weber, professor and chair of mathematics at Iowa State University.

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Credit: Photo illustration by Deb Berger/Iowa State University.






AMES, Iowa — When Eric Weber, professor and chair of mathematics at Iowa State University, talks about data science with future math teachers, he doesn’t begin with code, algorithms or buzzwords.

Instead, he asks them to imagine the scientific method — form a hypothesis, collect data, conduct experiments — running in reverse. 

“In data science, you don’t start with a hypothesis or prediction,” Weber said. “You start with the data that already exists — maybe numbers someone collected years ago, or information gathered for a totally different purpose — and you work backward. You look for patterns, connections or surprises in the data, and those clues help you figure out what questions you should even be asking. So, instead of testing a hypothesis, you’re discovering one.”

This definition is the basis for curriculum Weber and colleagues at Iowa State and the University of Northern Iowa (UNI) have designed to help prepare future math teachers to teach data science in high-school classrooms. Their work reflects a growing national consensus that data science literacy should be part of secondary education.

“Multiple professional societies in mathematics, statistics and mathematics education have released statements in support of teaching data science in high schools,” Weber said. “But while high schools are being encouraged to add data-science courses, the teachers expected to teach them often receive little to no preparation.” 

In a new paper published by Scatterplot, the MAA Journal of Data Science, Weber and his co-authors argue that future math teachers are the educators best positioned to take on this role — but only if their training programs give them the tools to do it.

“Our goal is to help close that gap with the curriculum we’ve created,” Weber said. 

Weber’s co-authors are Heather Gallivan, associate professor of mathematics education at UNI; Lydia Butters, a former math education student at UNI who now teaches at Cedar Falls (Iowa) High School; and Stephen Nathan Mercil, a former mathematics doctoral student at Iowa State who is now an instructor at the University of St. Thomas, Minnesota.

Teaching data science by starting with what teachers already know

The curriculum, which is a five-week, self-contained module delivered within coursework taken by pre-service math teachers at Iowa State and UNI, focuses on the relationship between math and data science.

“We want to show pre-service math teachers that data science isn’t a separate universe from the math they already study,” Weber said. “It’s built on it.”

Many data-science ideas, including modeling, optimization and visualization, grow directly out of algebra, geometry and calculus, so instead of focusing on coding or software, the curriculum module uses familiar mathematical structures to introduce new concepts, Weber said.

A regression line becomes a model. 

A classification problem becomes a geometry puzzle. 

An optimization routine becomes a function‑minimizing exercise.

Weber said this strategy helps pre-service teachers get past the intimidation factor.

“If we can break down the initial barrier of, ‘I don’t know what data science is,’ then their ability to make that transition becomes pretty quick,” he said.

A project shaped by timing and a growing need

The idea for this project began in 2019, when Weber and Mercil first piloted the curriculum at Iowa State. The first full run happened in spring 2020, just as the pandemic forced classes online, Weber said.

The project expanded after Weber teamed up with Gallivan, whose background in statistics helped merge the two universities’ approaches. Funding from the Iowa Space Grant Consortium allowed the team to refine the lessons and offer the curriculum at both campuses starting in 2023.

“The module has been taught every spring at Iowa State and UNI since then, and each year, we add improvements based on student feedback and classroom experience,” said Weber, who is also a member of a committee assembled by the Iowa Department of Education to help write data science learning standards for the state.

To help future teachers see how data science works in practice, the curriculum uses a mix of synthetic and real‑world datasets.

One set simulates animal‑tracking data — timestamps, locations and headings — to give students a chance to explore visualization, dimensionality reduction and prediction. Another uses housing data collected by local high‑school students, allowing pre‑service teachers to practice multiple regression and think about how they might guide their own students through similar projects.

These examples, Weber and team said, help teachers understand how data‑science questions emerge from the data itself — and not from a prewritten hypothesis.

Preparing teachers for an AI-driven world

Weber said a broader goal of the project is to prepare teachers for classrooms where artificial intelligence and automated decision‑making are already part of students’ daily lives, and to help future teachers understand the relationship between AI and data science (“they’re closely related,” Weber said, “but they aren’t the same thing.”).

“Data science is the bigger field,” Weber said. “It’s about using math, statistics and computer tools to make sense of data and find patterns.”

Artificial intelligence, he explained, is about creating systems that can do tasks that usually require human thinking. AI systems learn from data, so they depend heavily on the work data science does.

The link between data science and AI comes from machine learning, a part of AI that learns patterns directly from data.

“Machine learning uses the same math and statistics that data science uses,” Weber said. “Simply put, data science helps us understand what the data is saying, and AI uses that understanding to make decisions or take action.”

The U.S. Bureau of Labor Statistics projects data science jobs will grow 34 percent between 2024 and 2034, a rate that is significantly faster than the average for all occupations.

“Artificial intelligence is powerful, but we'll still need data scientists — humans in the loop,” Weber said. “AI systems don’t ‘think’ the way humans do; they learn patterns from large amounts of data and make predictions based on probability. Without someone who understands how that data was collected, what it represents and where it might be misleading, the results can be wrong or even harmful. Data scientists can interpret and contextualize the output of those systems.”

Early results show promise

The researchers’ curriculum has now run for four consecutive spring semesters at Iowa State and UNI, Weber said, adding that one former student is already teaching data science at a high school. 

Additionally, a pre- and post-assessment administered during the first implementation showed measurable gains in students’ understanding of data science concepts, suggesting the approach is helping future teachers build both confidence and competence.

Weber said these early signs reinforce the need for continued investment in teacher preparation.

“We hope to obtain additional funding that will help us expand our work and support teachers who are already working in the field with in-service programming and classes that could earn teaching licensure renewal credits,” Weber said.

– 30 –

Read the paper:  Weber, E., Gallivan, H., Butters, L., & Nathan Mercil, S. “Leveraging Mathematical Knowledge to Prepare Future Math Teachers to Teach Data Science,” Scatterplot, 3(1). Published online April 2026.

Thursday, June 04, 2026

SPACE/COSMOS

We can predict space weather. What if we could also stop it?


Solar flares and geomagnetic storms can kill satellites and mess with GPS. A Boston University researcher has designed a space-based system to better protect us from rogue interplanetary weather


Boston University





The weather on Earth can get pretty messy sometimes. But in space, it can be wild—and the effects can be far-reaching.

Solar flares, giant explosions on the sun, can send out streams of energy that block radio communications and fry satellite electronics. Geomagnetic storms, caused by variations in solar wind, can mess with GPS signals and spark current surges on Earth that overload power grids.

The impact of space weather isn’t limited to temporarily losing electricity or digging out dusty paper maps for directions when satellite navigation systems fail. Every electronic financial transaction in the world, for instance, relies on time stamps sent by satellite systems. And, in May 2024, a solar storm threw out GPS systems used to accurately guide tractors in planting and harvesting crops, hobbling food production for days and costing US farmers $500 million.

Although satellites can be built with tougher shields or have their orbits adjusted, those are just Band-Aids; there’s currently little we can do to protect ourselves from space storms.

Boston University researcher Brian Walsh has an idea for how to change that. He’s been testing the theoretical feasibility of a system of spacecraft that could fire chemical elements to the edge of Earth’s magnetic field, temporarily fortifying our defenses and deflecting potentially damaging space weather. In simulations, Walsh and researchers from the University of Michigan found the system could cut the intensity of a major geomagnetic storm in half. The findings were published in the journal Space Weather.

“Since humans have been in space, we’ve been trying to predict what’s going to happen in the space environment,” says Walsh, a BU College of Engineering associate professor of mechanical engineering. “But we came up with a model that could flip the paradigm. It’s like people in a village who see a river flooding—maybe they can predict when that will happen, but probably what’s even better is if they could build a storm wall. That’s what we’re proposing here.”

Bouncing Storms Past the Earth

Walsh says his idea for a weather wall in space was inspired by a natural phenomenon: material peeling off the Earth’s atmosphere and floating to the edge of our planet’s protective bubble, the magnetosphere, to bolster it. “I thought, maybe you could turn [that process] up, increase the intensity of it,” he says.

His proposed system, named StormWall, would start with the launch of six spacecraft into a geosynchronous orbit matching the Earth’s own rotation. Each craft would be fitted with a canister loaded with what the researchers call a mass-loading material. When released, the material—an alkaline chemical element like barium or lithium—would photoionize, a process that induces an electrical charge, seeding the atmosphere with plasma.

In their simulations, Walsh and his colleagues found that this plasma would disrupt the flow of energy between any solar storm and the magnetosphere—and that would be enough to bounce the space weather around and past our planet.

Not Science Fiction

Walsh admits a weather wall in space sounds a little like science fiction, but says it’s within our reach.

“When you apply some really serious physics to it, it does work. And the amount of mass we need, the launch capacities—it’s all within our capabilities,” he says. “People have always thought, ‘space is huge, the sun is massive, we just have to sit here and take whatever it gives us.’ But what we found is that we can impact it.”

One of the biggest barriers to implementation is cost. Launching six spacecraft, together carrying the equivalent of about a dozen oil trucks–worth of material, wouldn’t be cheap. And once the payload is fired out and photoionizes, the system would be dead and couldn’t be replenished—it’s one and done. But with private companies investing billions in space infrastructure—and even contemplating data centers in orbit—Walsh says the math on cost-benefit ratios could soon favor his proposed approach. In their paper, Walsh and his colleagues point out that a massive once-in-a-century geomagnetic storm—the last one was in 1859—would cause devastating damage in space and on Earth, with power grid costs alone topping $2.4 trillion.

He’s confident the team can bring down the StormWall costs too. Next on their agenda is studying ways to half the material used, simulating a pulsed release of materials to extend the system’s lifespan, and examining potentially more efficient orbits. They also want to dig deeper into the chemistry involved to nail down the best elements to use.

And although space junk is a major issue in Earth’s lower atmosphere, Walsh says any materials they pump into its higher reaches would quickly be carried out of the system after they’ve done their job. “The material drifts out on these natural highways, it leaves the system—the magnetosphere flushes the material out within six or so hours.”

Geoengineering Space

As the head of BU’s Space Physics & Technology Lab, much of Walsh’s broader research is focused on observing and better understanding the space environment around Earth; he and his team were recently part of a mission that sent a telescope to the moon to image our magnetic shield. Although the StormWall project is loosely connected to that wider work, Walsh says it’s a bit of an outlier. “This is quite different than what anyone is doing right now—I don’t know of anyone proposing to geoengineer space.”

Should the idea literally take off, he says that, unlike some space missions that might reap rewards for the few, this one would benefit us all.

“If you built it, if it was deployed, it would help all people on the planet,” says Walsh. “You couldn’t make it in a way that helped only one country, one group of satellites.”

Found: Milky Way black hole’s missing wind


The half-century-long search is finally over




Northwestern University

Composite image of wind evidence 

image: 

This composite image shows evidence for a wind blowing away from Sagittarius A* (Sgr A*), the supermassive black hole in the center of our galaxy. The white dot in the center of the image shows Sgr A*. In orange is data from the Atacama Large Millimeter/Submillimeter Array (ALMA) radio telescopes in Chile, mapping the location of cold gas composed of carbon monoxide in the image. In blue is X-ray data from NASA’s Chandra X-ray Observatory. A large cone-shaped cavity, visible as an absence of cold gas in the ALMA data, is filled by hot X-ray-emitting gas in the Chandra data. Researchers think a hot, energetic wind blowing from Sgr A* created this structure by sweeping the cold gas away or heating it up.

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Credit: X-ray: NASA/CXC/Northwestern Univ./M. Gorski; Radio: ESO/NAOJ/NRAO/ALMA; Image processing: NASA/CXC/SAO/K. Arcand and P. Edmonds





The hunt is over.

After more than 50 years of searching, astrophysicists at Northwestern University have finally discovered evidence of a powerful wind blowing from the Milky Way’s central supermassive black hole, Sagittarius A* (Sgr A*).

According to theoretical physics and a long-accepted understanding of galaxies evolution, as black holes consume materials, they should produce wind or jets. Even a small amount of gas falling into a black hole should generate enough energy to push material outwards. Without wind, Sgr A* would be a unique outlier.

But, until now, no one could find it.

By providing the most detailed view yet of how Sgr A* interacts with and transforms its surrounding environment, the scientists resolved one of the longest-standing mysteries in astronomy. It also opens a new window into the physics at play in the center of the Milky Way.

The study will be published on Thursday (June 4) in The Astrophysical Journal Letters.

“Unless a black hole exists in a perfect vacuum, it must blow a wind somehow,” said Northwestern’s Mark Gorski, who co-led the study. “And there is no perfect vacuum in the universe. With new observations, this is the first time we’ve had a clean enough view to see the wind’s imprint. We looked at the data and said, ‘There it is. There is the thing that everybody’s been looking for for 50 years.’”

“We were the first to show that molecular gas very, very close to the black hole is feeding it,” said Elena Murchikova, who co-led the study with Gorski. “The wind is not powerful, and its direction probably wanders with time. It shows that our black hole is not unique, and our place in the universe is not unique.”

Focused on the evolution of galaxies, Gorski is a research assistant professor at Northwestern’s Center for Interdisciplinary Exploration and Research in Astrophysics (CIERA). An expert on black hole astrophysics, Murchikova is an assistant professor of physics and astronomy at Northwestern’s Weinberg College of Arts and Sciences and member of CIERA.

Elusive wind at the galaxy’s heart

Although black holes are infamous for swallowing anything that ventures too close, they don’t just pull matter in. They also push material out. For decades, theorists have predicted that all actively feeding black holes launch powerful outflows. As material spirals inward toward a black hole, it moves faster and faster — until it reaches close to the speed of light. This creates enough energy and pressure to fling some of the hot, fast-moving material outward in the form of winds or jets.

While astronomers have spotted evidence of past eruptions from Sgr A*, they struggled to detect currently occurring outflows. The Northwestern team says this is likely because Sgr A* is in a quieter phase and just incredibly difficult to see.

“To observe our own black hole, we have to look through the plane of our galaxy,” Murchikova said. “That means we have to peer through gas, dust and ionized structures, and you can’t really see through all of that easily.”

A cone-shaped cavity

Now, with new tools and observations, the team finally was able to take a closer look. Using five years of extraordinarily deep observations from the Atacama Large Millimeter/Submillimeter Array (ALMA) radio telescopes in Chile, Gorski and Murchikova constructed the sharpest image ever devised of cold molecular gas surrounding the black hole.

The image reflected the gas located incredibly close to Sgr A* — within just one parsec (or about three light-years) of the black hole. Then, the duo applied a calibration method to remove the black hole’s bright radio signals. The resulting image is 100 times deeper and 80 times sharper than previous maps of the region. With this level of detail, it revealed structures that were completely invisible in previous observations.

But one newly revealed, unmistakable feature left Gorski and Murchikova gobsmacked. A vast, cone-shaped cavity — nearly one parsec long and 45 degrees wide — was devoid of cold molecular gas. According to the researchers, only hot, energetic wind blowing from Sgr A* could have created this hollowed-out region. Wherever the hot wind travels, it either sweeps cold gas away or heats it up.

“If you blow hot material from the black hole, it’s not going to want to exist with the cold material,” Gorski said. “It’s either going to push the cold material out or heat it up. And, if it’s too hot, you will no longer see the cold gas.”

Exceptional claims, exceptional evidence

While stars, too, create winds, stellar winds are not powerful enough to carve out a cleanly swept region of this size. Even the combined power of all the nearby stars falls short.

“It’s a huge absence of material,” Gorski said. “We calculated how much energy was needed to create this cavity. It is more than can be provided by the stars in that area. Basically, there has to be input from the supermassive black hole. And, if you follow the shape of the cone, it’s pointed directly at the black hole.”

Before declaring they solved a long-standing mystery, Gorski and Murchikova continued to analyze data to further confirm their results. NASA’s Chandra X-ray Observatory previously pinpointed bright X-ray emissions in the exact same region. In the same location as the bright X-rays, a hollow, cone-shaped region appeared where cold gas was missing.

“Exceptional claims require exceptional evidence,” Gorski said. “We wanted to make sure that we weren’t just looking at some sort of imaging artifact. Then, the X-ray image from Chandra just slotted in perfectly. The molecular features lined up.”

“When you find something that no one has seen before, the first thought that runs through your mind is not ‘Oh my god, we made a discovery,’” Murchikova said. “It’s ‘Oh my god, what’s wrong with my analysis?’ But when we overlaid our image with the X-ray image, it started to make sense.”

A quiet phase of life

Based on how far its effects extend into a nearby stream of ionized gas, the astrophysicists estimate the wind has been active for at least 20,000 years. The discovery also confirms that Sgr A* is relatively quiet compared to other galaxies’ central supermassive black holes.

“The majority of other galaxies spend most of their lives in a state where they are not particularly active,” Murchikova said. “But we can only see them when they are in a fireworks stage. It is very attractive to study black holes when they are in the fireworks stage, but that’s not actually their dominant state. Sgr A* finally gives us a window into the life of a black hole in this quiet state.”

X-ray data from NASA’s Chandra X-ray Observatory.

Credit

X-ray: NASA/CXC/Northwestern Univ./M. Gorski; Radio: ESO/NAOJ/NRAO/ALMA; Image processing: NASA/CXC/SAO/K. Arcand and P. Edmonds

Milky Way center in X-rays 

Image of the Milky Way center from NASA’s Chandra X-ray Observatory.

Credit

NASA/CXC/UMass/D. Wang et al.

Milky Way center composite 

Composite image of the Milky Way center, combining radio date from ALMA and X-ray data from Chandra.

Credit

ALMA(ESO/NAOJ/NRAO)/S. Longmore et al. Background: ESO/D. Minniti et al.