logo
Danville students learning fractions with manipulatives

Danville students learning fractions with manipulatives

Yahoo29-01-2025
Jan. 29—DANVILLE — You could say Sydni Franklin's sixth grade math class at Danville Middle School is learning fractions the hard way — well, the hard plastic way.
A few weeks ago, her students started studying fractions using a collection of rods, blocks and other shapes meant to show them how fractions look geometrically, not just as numbers on a page. These colorful doodads are called manipulatives, and they help small groups of students study fractions in a hands-on manner. The exercise makes abstract concepts like math more tangible.
These fraction bars or blocks are called Cuisenaire Rods. The class got them out during one of Franklin's "lab classes," which she uses to teach material the students are struggling to grasp.
"The lab classes give us a little more freedom to teach things they are not understanding and to go back and sort of reteach," Franklin said. "We were going back and adding and subtracting fractions because they were confused on it."
The rods and other shapes work by being different lengths and colors, which helps the students "see" the fractions.
"It's more visual so you can get a better understanding of it instead of just looking at a board while she teaches," said 12-year-old Charley Penney, a student in the class.
"We learned that when there are different sizes of blocks and different colors of blocks it is a different fraction," said Avella Underwood, 11.
Because Underwood is a visual learner, she stopped her comment to grab some of the blocks to hold them up and illustrate.
"I learned that half of a blue block is a purple block," she said. "This gives me a better visual — it helps me understand it better. I just love it a lot."
Aiden Bryant, 11, said he learned how to make a whole using different types of blocks — or different fractions of the whole.
"It helps you get a visual," he said, and then it's easier to know how to do math problems using fractions.
Blake Wood, 12, said that instead of working the fractions out on a piece of paper he could "see it better and learn more from it. Instead of just giving us a worksheet and telling us to do it she did this and it really helped."
Franklin recently trained on this technique using the Alabama Math, Science and Technology Initiative (AMSTI) numbers book. It is the Alabama State Department of Education's effort to improve math and science teaching statewide. Teachers use professional development hours to improve their teaching skills.
"My kids are 12 years old, they are high-energy, they want to run around, they will take a mile if you give them an inch, so doing things like this is very beneficial but it is also challenging. It gets dicey, but it is definitely worth it in the long run because like Aiden said, it gives you a concrete idea. I really liked this when I saw it. You never know what will stick, but they really did enjoy this."
— jean.cole@decaturdaily.com or 256-340-2361
Orange background

Try Our AI Features

Explore what Daily8 AI can do for you:

Comments

No comments yet...

Related Articles

Common Food Bacteria 'Could Transform Nutrition and Medicine'
Common Food Bacteria 'Could Transform Nutrition and Medicine'

Newsweek

time12-08-2025

  • Newsweek

Common Food Bacteria 'Could Transform Nutrition and Medicine'

Based on facts, either observed and verified firsthand by the reporter, or reported and verified from knowledgeable sources. Newsweek AI is in beta. Translations may contain inaccuracies—please refer to the original content. Common food bacteria could be rewired to produce more vitamins—and "help to transform nutrition and medicine." This is the discovery of scientists at Rice University who have revealed how a bacterium called Lactococcus lactis regulates the production of a key precursor in the production of vitamin K₂, which is important for bone health, vascular health and clotting factors that stop bleeding. The bacteria create enough of this precursor to support their growth while preventing toxic buildup. "Vitamin-producing microbes could transform nutrition and medicine, but we must first decode their inherent checks and balances," said paper author and biosciences researcher professor Caroline Ajo‑Franklin in a statement. "Our work shows how L. lactis finely tunes its internal supply of the K₂ precursor, allowing us to rewire it with precision." The method could improve supplements and fortified foods and make vitamins cheaper and more environmentally friendly. Digital 3D illustration of probiotic bacteria. Digital 3D illustration of probiotic microbes to overproduce vitamins provides a greener and more cost-effective alternative to chemical synthesis or extraction from plants and animals, the researchers said. However, bacterial cells typically limit their production to self-sustaining levels. By dissecting the control system for the vitamin K₂ (also known as menaquinone) precursor, the study authors have identified how "substrate availability" and "genetic architecture" impose a production ceiling and how those limits can be lifted. The study focuses on the "unstable intermediate compound" that channels all forms of vitamin K₂. "A vitamin K₂ deficiency usually manifests as a propensity for excess bleeding, bruising and potentially gastrointestinal bleeding," Ajo‑Franklin told Newsweek. "It can be particularly hazardous for newborns, who can experience intracranial bleeding. As a result, it is standard care in the United States for all babies to receive a vitamin K₂ shot at birth. "A vitamin K deficiency can be caused by insufficient consumption of fermented food (natto, sauerkraut, cheeses, etc.) and animal products like egg yolks, fatty fish, or diseases/conditions that impair the body's ability to absorb vitamin K₂ in the gut, like celiac disease, cystic fibrosis or extended use of antibiotics. She added: "Vegan diets can be low in K₂ unless supplemented." Closed up shot of woman's hand taking supplement capsule. Closed up shot of woman's hand taking supplement researchers used a three-prong approach in their investigation, including biosensing (a device that can detect biological substances), genetic engineering and mathematical modeling. They built a custom biosensor in a different bacterium to help detect the precursor—thousands of times more sensitive than conventional methods and requiring minimal lab equipment. Next, they used the genetic tools to alter the levels of enzymes in the biosynthetic pathway. By measuring precursor output under different conditions, they fed the results into a mathematical model of the pathway. At first, the model assumed an unlimited precursor supply, but predictions didn't align with laboratory results. "Once we allowed for depletion of the starting substrate, the model output matched our experimental data," said paper author and computational systems biologist Oleg Igoshin, study author in a statement. "It became clear that cells hit a natural production ceiling when the substrate runs low." Just overexpressing pathway enzymes did not increase output beyond the threshold, however, because precursor materials became limited. The researchers compared this to attempting to bake more cookies with extra baking sheets, but without enough flour. However, the order of enzyme-encoding genes on DNA also influenced precursor levels. They found rearranging these genes altered how much intermediate the cell produced, suggesting an additional layer of "evolutionary regulation" that has not been well understood. "By tuning substrate supply, enzyme expression and gene order simultaneously, we can push production above the natural ceiling," said paper author and biochemist Siliang Li, in a statement. This opens the door to engineering L. lactis or other food-grade bacteria to produce more vitamin K₂ in fermentation processes in probiotic formulations, the researchers said. L. lactis, Ajo‑Franklin explained, "is also a probiotic bacterium, meaning that it promotes a healthy gut. It is found in a variety of fermented foods, most notably cheese and yogurt." "We've figured out how to reprogram the cells to make more vitamin K₂ with the natural enzymes they produce. We discovered the cells are very carefully controlling the production of vitamin K₂ through two overlapping control mechanisms. With this understanding, we can now predict what changes we need to make to override that control. "Previous efforts were only partially successful because they didn't know about both control points." Ajo‑Franklin added that it could lower the cost of current vitamin K₂ production. "Additionally, being able to produce vitamin K₂ by bacteria allows you to make it wherever needed, whether that's in space or somewhere on Earth, far away from large manufacturing facilities." If vitamin K₂ is produced by bacteria in the gut, the researchers said there is a possibility of the absorption being more effective than standard vitamin tablets. With Vitamin C and vitamin B₁₂ both currently manufactured using microorganisms, the researchers said a similar approach might enable them to make higher levels of these vitamins too. Do you have a tip on a health story that Newsweek should be covering? Do you have a question about vitamins? Let us know via health@ Reference Li, S., Zhang, J., Ajo-Franklin, C. M., & Igoshin, O. A. (2025). The growth benefits and toxicity of quinone biosynthesis are balanced by a dual regulatory mechanism and substrate limitations. mBio.

'Fantastic Four' post-credit scenes, explained: What did they mean?
'Fantastic Four' post-credit scenes, explained: What did they mean?

USA Today

time25-07-2025

  • USA Today

'Fantastic Four' post-credit scenes, explained: What did they mean?

The first family of Marvel hit theaters this week with The Fantastic Four: First Steps. Led by Pedro Pascal (Reed Richards), Vanessa Kirby (Sue Storm), Ebon Moss-Bachrach (Ben Grimm) and Joseph Quinn (Johnny Storm), The Fantastic Four: First Steps is both "certified fresh" with an 88% from critics and "certified hot" with a 92% from audiences on Rotten Tomatoes. MORE FANTASIC FOUR: Our review of the new MCU movie WARNING: Spoilers for The Fantastic Four: First Steps follow! In the movie, the Fantastic Four have to figure out a way to protect their Earth from the cosmic being Galactus that has to devour planets for sustenance. When Galactus finds out the unborn child of Richards and Storm will be able to absorb his relentless need for consumption, he offers to save Earth in return for baby Franklin. Naturally, that is a deal that the Fantastic Four cannot agree to, so the quartet attempts to solve the problem in another way. There are two post-credit scenes, with the mid-credit scene being the more important for the continued story in the MCU. The first post-credit scene is four years after the events of the movie, with Sue reading to now 4-year-old Franklin. She gets up to find her son a new book, and when she returns, a strange figure in a cloak and holding a metal mask is in the living room with her child. The masked stranger is Dr. Victor Von Doom, a character that will be played by Robert Downey Jr. in the MCU. His home nation of Latveria was hinted at in The Fantastic Four: First Steps with a shot that panned the country's empty seats as Sue addressed the United Nations, but there is no reference directly to Doom until the end. The Fantastic Four: First Steps takes place on Earth-828, with the rest of the MCU over on Earth-616. During one of the post-credit scenes in May's Thunderbolts*, the New Avengers intercepted an alert that a strange ship was entering their airspace. It turned out to be none other than the Fantastic Four, likely coming from another dimension. Is the Dr. Doom we see at the end of The Fantastic Four: First Steps Earth-616's Dr. Doom? Did he kidnap Franklin? The answers will have to wait until Avengers: Doomsday comes out in December of 2026. The second post-credit scene is just a fun animated Fantastic Four television jingle. It's cute, but not impactful from a story standpoint.

Cuts to NOAA funding could imperil weather forecasts, endanger lives
Cuts to NOAA funding could imperil weather forecasts, endanger lives

USA Today

time07-07-2025

  • USA Today

Cuts to NOAA funding could imperil weather forecasts, endanger lives

Retired federal scientists warn Trump administration's proposed NOAA budget cuts could be costly and harm forecast accuracy. The Trump administration's plan to dismantle the nation's atmospheric research programs could set U.S. forecasting back a generation or more, a cadre of retired federal hurricane, weather and ocean scientists warns. The budget proposed by the White House for the National Oceanic and Atmospheric Administration is almost half what it was a year ago, and eliminates all funding for the agency's Office of Atmospheric Research, the division that coordinates and conducts weather and climate research across the nation. 'It will stop all progress' in U.S. forecasting, said James Franklin, who retired in 2017 as chief of the National Hurricane Center's forecast specialists. Abolishing that research will be 'a generational loss" of any progress that would have been made over the next 10 years or more, Franklin said. 'We're going to stagnate and we're not going to continue to improve as we go forward.' The atmospheric research office, also referred to as NOAA Research, underpins much of the agency's work and scientific advances, whether it's more accurate forecasting or tracking tsunamis or plumes of chemicals or wildfire smoke, said Franklin and others working to persuade Congress to save the programs. They say defunding the research program would carry great costs − forecast improvements have saved as much as $5 billion per storm − and put lives at risk when forecasts fall short. Dozens of private weather forecasters, TV meteorologists and scholars have expressed similar concerns in social media, broadcasts, blogs and newsletters, saying the degradation of forecast accuracy will affect farmers, aircraft pilots and passengers and millions of other Americans, whether they know it or not. The NOAA cuts, combined with other proposed cuts and a host of canceled grants and contracts across the federal government is being viewed by many scientists and scholars as a sweeping assault on science in the U.S. White House budget would be 40% less for NOAA The White House proposed an estimated direct program budget of $3.5 billion for NOAA, roughly $2.3 billion lower than the current year, an almost 40% reduction. The 2026 line item for NOAA Research is blank, compared to an estimated $608 million in 2025. The only office under the NOAA umbrella slated to see an increase is the National Weather Service, which could see a $71 million increase to its direct program budget, with an estimated total of $1.3 billion. In a June 5 hearing on Capitol Hill, Commerce Secretary Howard Lutnick defended the cuts, saying NOAA is 'transforming how we track storms and forecast weather with cutting-edge technology.' USA TODAY reached out to the Commerce Department and NOAA for comment about Lutnick's remarks to Congress, but did not receive a response. Former senior NOAA officials say transformative work will cease if the budget cuts are approved, particularly when combined with extensive cuts already made to staffing, research, grants and cooperative programs with dozens of universities. The cuts, including those by the Department of Government Efficiency and Office of Management and Budget, show little practical knowledge of how the nation's weather system operates, said Craig McLean, a former NOAA chief scientist and former assistant administrator for research. He compares the administration cuts to dismantling a car engine, then trying to put it back together without parts whose purpose you don't understand. Conservatives propose reining in "climate change alarm" Many of the steps taken so far reflect the recommendations of the Heritage Foundation's Project 2025, which proposed dismantling NOAA and privatizing weather service operations, specifically targeting the agency's work on climate monitoring and climate change. Project 2025 stated NOAA's six main offices – including its divisions for research, satellites, ocean service, fisheries and marine and aviation operations – form 'a colossal operation that has become one of the main drivers of the climate change alarm industry and, as such, is harmful to future U.S. prosperity.' In a budget document, the White House has stated some of NOAA's research and grant programs 'spread environmental alarm." In mid-June, a team of at least a half dozen people who wrote and produced a website that supports science education and explains complicated science and weather to the public, was terminated. Agency veterans say the administration's campaign against climate research fails to acknowledge the role climate plays in daily weather, and mischaracterizes how NOAA research supports daily forecasts for all kinds of extreme weather. US military takes an abrupt turn after decades of climate change research NOAA research extends far beyond the well-documented changing climate, said Alan Gerard, who recently retired from the agency's Severe Storms Laboratory. For example, he said the cuts could "be disastrous" for improving tornado warnings. Experts say budget cuts put national research network in peril NOAA Research's network of nine laboratories, 16 cooperative institutes and other partnerships with universities collect and share weather data, then use it to develop new forecast models, new tools and better techniques to save lives, Gerard said. The division's work is credited with modeling and forecasting advances that support both the hurricane center and the weather service, including vast improvements in forecasting hurricane track and intensity. John Cortinas, a former deputy assistant administrator for science with OAR, cited a list of forecast-improvement projects now underway. For example, the storms laboratory is developing 'the next generation of radars,' to improve tornado forecasting, Cortinas said. 'But if the White House cuts go as proposed, that lab's gone, that ends.' The Pacific Marine Environmental Laboratory is working on the next generation of offshore buoys. The Global Systems Laboratory developed a national weather forecast model and conducts fire-weather and wildfire research. Cortinas said it's now working to improve prediction of hyperlocal extreme rainfall events like those that caused massive flooding last summer in Minnesota and earlier this year in Kentucky. Several projects are rooted in the Weather Research and Forecast Innovation Act, passed by Congress and signed into law by President Donald Trump during the early days of his first term in 2017. A Congressional Research Service report released on June 10, 2025 noted NOAA has not publicly released details on the proposed budget, and stated the available documents do not discuss how NOAA plans to meet the responsibilities it has been assigned. Balloon launches have far-reaching forecast impacts Franklin started his 35-year career at NOAA's Atlantic Oceanographic & Meteorological Laboratory, which includes the Hurricane Research Division. He has spoken often about strides being made to improve forecasting and voiced frustration over hurdles that still exist in forecasting hurricane intensity. Over the past decade, NOAA has shaved the margin of forecast track error by 27% at 36 hours out and 18% at 72 hours out. In 2024, the hurricane center set a record for the most accurate forecasts in its history, according to a preliminary analysis by the center and the Cooperative Institute for Research in the Atmosphere at Colorado State University. 'The 5-day forecast of hurricane track is as accurate as the 3-day forecast was 20 years ago,' Rick Spinrad, NOAA's former administrator told USA TODAY. Franklin fears the budget cuts would jeopardize those improvements. For example, he points to weather balloon launches that have been restricted or discontinued at some weather service offices. The offices are grappling with staffing shortages after the administration fired some probationary employees and offered incentive-based retirements to shrink the size of the federal bureaucracy. It may be hard to conceive that data collected from balloons launched in the Great Plains could affect hurricane forecasts on the East or Gulf coasts, but they can and do, said both Franklin and Gerard. The launches provide crucial information about moisture and prevailing winds in large systems crossing the country that could steer or interact with approaching tropical systems, Franklin said. 'If they pass through an area with less balloon coverage, the forecast might change a bit and get degraded." The larger the area with missing data, he said, the greater the risk of error in a hurricane landfall forecast. Experts say better forecasts save money and lives Franklin and others cited a 2024 study by the National Bureau of Economic Research that found NOAA's Hurricane Forecast Improvement Program has saved roughly $5 billion per hurricane per year in terms of pre-landfall protective spending and post-landfall damages and recovery. "Hurricane response costs become greater when you have a poorer forecast,' he said. 'That's a lot of cost savings that we seem willing to give up here. We're going to turn off all that potential savings by saying we don't care if the forecasts don't continue to get better.' Dinah Voyles Pulver covers climate change, hurricanes and disasters for USA TODAY. Reach her at dpulver@ or dinahvp.77 on Signal.

DOWNLOAD THE APP

Get Started Now: Download the App

Ready to dive into a world of global content with local flavor? Download Daily8 app today from your preferred app store and start exploring.
app-storeplay-store