Showing posts with label maths. Show all posts
Showing posts with label maths. Show all posts

Wednesday, March 19, 2014

Strategies for teaching common core to teens with autism show promise

Credit: High school classroom in Newark, Delaware, public domain image, courtesy of Wikimedia

Scientists at UNC's Frank Porter Graham Child Development Institute (FPG) report that high school students with autism can learn under Common Core State Standards (CCSS), boosting their prospects for college and employment.

Newly published recommendations from FPG's team also provide strategies for educating adolescents with autism under a CCSS curriculum.

Veronica P. Fleury
"The number of students with autism who enter high school settings continues to grow," said Veronica P. Fleury, lead author and postdoctoral research associate with FPG's Center on Secondary Education for Students with Autism Spectrum Disorders (CSESA).

"Many educators may find that they're not prepared to adapt their instruction to meet both state standards and the diverse needs of these students."

In 2010, the National Governors Association Center for Best Practices and the Council of Chief State School Officers released the CCSS for English and mathematics in an effort to better prepare students for college and careers.

According to Fleury, the greater demand for a technologically advanced workforce also makes academic skills now even more essential for high school graduates.

"But the college enrollment of people with autism is among the lowest for all categories of disabilities," Fleury said.

"In addition, less than 40% of the population with autism is employed, and most of those with jobs only work part-time, without benefits."

However, she said that academic performance in high school plays an important role in opportunities for a college education and employment.

Yet, while the CCSS outlines expectations of what educators should teach, it provides no guidance on how to teach these skills to students with or without autism.

Fleury believes the most effective high school instruction requires understanding the complex profile of students with ASD, who possess both strengths and weaknesses.

People with autism have some social deficits and may process language at a slower rate, she said, while many also have enhanced visual processing.

Some may have difficulty learning to make calculations, but others are mathematically gifted.

"It's extremely hard to draw general conclusions about academic performance for these students," Fleury said. "But adolescents with autism often do have difficulties comprehending texts, and many find writing a burdensome task."

Fluery added that work in STEM fields (science, technology, engineering, and math) are replacing manufacturing jobs and may provide viable opportunities for many people with ASD.

She said people with autism often gravitate to these fields in college, highlighting the need to equip them as high school students with skills that will enable them to compete and achieve.

"While the very structure of high school poses challenges for students with autism, being able to anticipate and understand activities, schedules, and expectations can improve their ability to respond to classroom demands," she said. "Establishing routines and creating written schedules also helps."

In a new article in Remedial and Special Education, Fleury and her co-authors recommended several strategies to educate students with ASD effectively, including exposing them to assignments before presenting the work in class.

The researchers also noted a variety of techniques for delivering the highly explicit instruction that teenagers with autism require, such as teaching mnemonic devices for remembering steps in a task.

"High school students with ASD also need ample opportunities to practice skills across settings throughout the school day," she said. "And teaching them to monitor their own behavior can help them to use their skills in a variety of settings."

Fleury added that because there is a strong link between social and academic skills, new research should focus on developing interventions for students with autism that can address both areas of need together.

"We know that when students with autism receive appropriate instruction and support, many of them are capable of learning academic content that is aligned with state standards, AND better academic performance often leads to a more successful outcome after high school." she said.

Tuesday, March 11, 2014

Gesturing with hands is a powerful tool for children's learning

A recent study from the University of Chicago's Department of Psychology showed that use of abstract gestures is a powerful tool for helping children understand and generalize mathematical concepts. 

Credit: Goldin-Meadow Lab

Children who use their hands to gesture during a math lesson gain a deep understanding of the problems they are taught, according to new research from University of Chicago's Department of Psychology.

Previous research has found that gestures can help children learn. This study in particular was designed to answer whether abstract gesture can support generalization beyond a particular problem and whether abstract gesture is a more effective teaching tool than concrete action.

"We found that acting gave children a relatively shallow understanding of a novel math concept, whereas gesturing led to deeper and more flexible learning," explained the study's lead author, Miriam A. Novack, a PhD student in psychology.

The study, "From action to abstraction: Using the hands to learn math," is published online by Psychological Science.

The researchers taught third-grade children a strategy for solving one type of mathematical equivalence problem, for example, 4 + 2 + 6 = ____ + 6.

They then tested the students on similar mathematical equivalence problems to determine how well they understood the underlying principle.

The researchers randomly assigned 90 children to conditions in which they learned using different kinds of physical interaction with the material.

In one group, children picked up magnetic number tiles and put them in the proper place in the formula.

For example, for the problem 4 + 2 + 6 = ___ + 6, they picked up the 4 and 2 and placed them on a magnetic whiteboard.

Another group mimed that action without actually touching the tiles, and a third group was taught to use abstract gestures with their hands to solve the equations.

In the abstract gesture group, children were taught to produce a V-point gesture with their fingers under two of the numbers, metaphorically grouping them, followed by pointing a finger at the blank in the equation.

The children were tested before and after solving each problem in the lesson, including problems that required children to generalize beyond what they had learned in grouping the numbers.

For example, they were given problems that were similar to the original one, but had different numbers on both sides of the equation.

Children in all three groups learned the problems they had been taught during the lesson. But only children who gestured during the lesson were successful on the generalization problems.

Susan Goldin-Meadow
"Abstract gesture was most effective in encouraging learners to generalize the knowledge they had gained during instruction, action least effective, and concrete gesture somewhere in between," said senior author Susan Goldin-Meadow, the Beardsley Ruml Distinguished Service Professor in Psychology.

"Our findings provide the first evidence that gesture not only supports learning a task at hand but, more importantly, leads to generalization beyond the task."

"Children appear to learn underlying principles from their actions only insofar as those actions can be interpreted symbolically."

More information: Miriam A. Novack, Eliza L. Congdon, Naureen Hemani-Lopez, and Susan Goldin-Meadow. "From Action to Abstraction: Using the Hands to Learn Math." Psychological Science 0956797613518351, first published on February 6, 2014 DOI: 10.1177/0956797613518351

Thursday, November 28, 2013

Can Toys help develop Science and Technology (STEM) skills in children?

One of the hot topics on social media this holiday season is finding gifts that can help children, especially girls, develop science- and engineering-related skills.

Beth Holloway, director of the Women in Engineering Program at Purdue University, says toys that help children figure out how to turn their ideas into reality - toys that let them design and build something, for instance - are a great first step in inspiring them to consider a science, technology, engineering and mathematics (STEM) career.

"Toys like that will help children realize that they can make an impact on the world through their ideas," she says.

As for girls in particular, Holloway says they should have a range of toys and experiences.

"Parents need to provide girls with toys that indulge their feminine side but also those that allow them to feel the sense of accomplishment that comes from designing and building something," she says.

"Those accomplishments will encourage them to continue to stretch their imaginations."

Holloway says research shows that girls tend to become interested in what they are confident that they are good at doing.

STEM-inspired toys can help foster that confidence in designing and building while reinforcing their existing interests.

For ideas on STEM-related toys, Holloway suggests the websites www.amightygirl.com/ and www.modernparentsmessykids.com

Sunday, August 18, 2013

Children with Autism do better with Maths

Children with autism and average IQs consistently did better on math tests than non-autistic children in the same IQ range, according to a small new study.

The superiority in math skills among children with autism was tied to patterns of activation in a particular area of the brain, an area normally associated with recognizing faces and visual objects.

Vinod Menon
"There appears to be a unique pattern of brain organization that underlies superior problem-solving abilities in children with autism," study senior author Vinod Menon, a professor of psychiatry and behavioural sciences at Stanford University, said in a university news release.

The study included 18 children with autism, aged 7 to 12, and a control group of 18 children without autism.

All participants showed normal verbal and reading skills on standardized tests, but the children with autism outperformed their peers without autism on standardized math tests.

The researchers also had all of the children work on math problems while their brain activity was measured using MRI.

The brain scans of the children with autism revealed an unusual pattern of activity in the ventral temporal occipital cortex, an area of the brain specialized for processing faces and other visual objects.

The study will be published online Aug. 17 in the journal Biological Psychiatry.

"[Previous research] has focused almost exclusively on weaknesses in children with autism," said Menon, a member of the Child Health Research Institute at Lucile Packard Children's Hospital.

"Our study supports the idea that the atypical brain development in autism can lead not just to deficits, but also to some remarkable cognitive strengths. We think this can be reassuring to parents."

Menon said children with autism sometimes exhibit exceptional talents or skills. For example, some can instantly recall the day of the week of any calendar date within a particular range of years, and others have outstanding math skills.

"Remembering calendar dates is probably not going to help you with academic and professional success," Menon said.

"But being able to solve numerical problems and developing good mathematical skills could make a big difference in the life of a child with autism."

About one in 88 children has some form of autism, according to the U.S. Centers for Disease Control and Prevention.

Thursday, April 4, 2013

Science and Maths: Playing 'boys' games help Girls

The observation that males appear to be superior to females in some fields of academic study has prompted a wealth of research hoping to shed light on whether this is attributable to nature or nurture.

Although there is no difference in general intelligence between the sexes, studies over the past 35 years have consistently found that overall men do much better in tests of spatial ability than women.

This difference may have something to do with why there are still fewer women in tertiary education studying science, technology, engineering and math – all subjects where it helps to have good spatial ability.

More in-depth assessment, however, reveals that this might be an over-simplification of the facts.

A new review, published in Springer's journal Sex Roles, sheds light on one of the factors contributing to these gender differences in spatial ability, that of gender-roles.

Although children are born either male or female, individuals differ in their degree of masculine and feminine identification and endorsement of masculine and feminine gender roles.


The review was carried out by David Reilly and David Neumann from Griffith University in Queensland, Australia.

Reilly and Neumann note that studies in their review reported finding larger within-gender variations in spatial ability than between-gender.

This then led them to look more specifically at the data on variables within males and females which might be able to explain this.

The researchers analysed twelve studies which had looked specifically at one aspect of spatial ability, namely mental rotation, in high school pupils, college attendees and young adults.

Collectively these studies showed a significant association between masculinity and mental rotation performance for both men and women.

In other words, men and women with either a strong masculine or androgynous gender-identity fared better in mental rotation tasks.

The authors suggest that it is the considerable variation in the levels of typically masculine and feminine traits and behaviours, that children of the same sex develop, which account for the inter-gender variability.

Masculine identification leads to cultivation of mathematical and scientific skills whereas feminine identification facilitates verbal and language abilities.

These gender-roles are not mutually exclusive, with some children of both genders developing a healthy integration of both roles.

Development of spatial ability is refined through play and recreational activities, with traditionally masculine activities helping to promote development of spatial ability.

Therefore improving girls' performance in subjects which require good spatial ability may involve the deliberate inclusion of what are commonly seen as stereo-typically male activities into their daily lives, rather than encouraging sex-segregation of activities.

The authors conclude: "We have seen many changes in society's beliefs about gender equality in the intervening decades since Sharon Churnin Nash (Stanford University) proposed her gender-role mediation hypothesis of intellectual development in 1979.

However, for spatial ability at least, this association seems as relevant today as when the claim was first made."

More information: Reilly, D. and Neumann, D.L. (2013), Gender-role differences in spatial ability: a meta-analytic review, Sex Roles. DOI 10.1007/s11199-013-0269-0

Thursday, February 14, 2013

Dyslexia v Dyscalculia: Maths v Reading

One of the important areas for understanding learning disorders is learning about the prevalence and specificity of various types of disorders.

It is estimated that Dyscalculia, the maths disorder or disability, is present in about 7% of school children.

It is possible that Dyscalculia simply represents a component of a more general learning disability.

If this is true, there should be a large overlap between Dyscalculia and other learning disorders, such as Dyslexia, the reading disorder.

A well-designed longitudinal study of cognitive and academic ability from Donald Compton and colleagues at Vanderbilt University is information in addressing this issue.

They completed a longitudinal study of 684 students from 3rd grade through the 5th grade assessing four academic achievement domains:

  • reading comprehension
  • word reading
  • applied math problems
  • math calculation skills

Additionally, they examined five student cognitive skills including: non-verbal problem solving, processing speed, concept formation, language and working memory.

The key finding from their study is that Dyscalculia in general terms, appears to be a specific disorder.

Although 3.8% of their school children sample had both Dyslexia (reading disorder) and Dyscalculia (math /calculations disorder), 10.1% were estimated to have only Dyscalculia and 6.6% were estimated to have only Dyslexia.

They noted their "results indicate that, although co-morbidity (the co-existance of Dyslexia and Dyscalculia together in one person) does occur, it is limited to approximately 20% of student with learning disability. This adds credence to the notion that reading and mathematics learning disability may be distinct and separate".

Background
Differences between Dyscalculia and Dyslexia included the following:

  • Boys had higher rates of Dyslexia, reading comprehension learning disability, while Dyscalculia (math problem and calculation types) were found equally in boy and girl students
  • Both Dyscalculia and Dyslexia rates were linked to student poverty status-students in the lowest socio-economic group had higher rates of both math and reading disorders.
  • Both Dyscalculia and Dyslexia students showed relative strength in the processing speed cognitive domain

This study lends support to Dyscalculia being a specific type of learning disability that often occurs without Dyslexia as a co-occurring reading disorder.

Dyscalculia appears to be the most common learning disability in girl students.

Reference
Compton DL, Fuchs LS, Fuchs D, Lambert W, & Hamlett C (2012). The cognitive and academic profiles of reading and mathematics learning disabilities. Journal of learning disabilities, 45 (1), 79-95 PMID: 21444929

Wednesday, February 6, 2013

UK Investment to Reverse falling literacy and maths rates

Secondary state schools in England will today (Thursday) receive £500 per pupil to help every year 7 pupil who did not reach the expected level in literacy and maths when they finished primary school.

The ‘catch-up premium’ will provide intensive tuition for almost 110,000 pupils who have failed to reach the expected level of literacy and maths skills by the time they move to secondary school.

Figures from the Department for Education show that only five per cent of pupils who did not manage to get Level 4 in both English and maths at Key Stage 2 went on to achieve five GCSEs at A* to C, including English and maths.

In order to help these children catch up and strive for better GCSEs, they will receive additional help through either individual tuition or intensive support in small groups.

The extra support is designed to help bring pupils up to speed so they are more likely to succeed at secondary school, rather than falling further behind. By catching up with their classmates, pupils’ motivation will also be boosted, in turn preventing disruptive behaviour that impedes learning for others.

The catch-up premium funding for this academic year (2012/13) will be £54.5 million, and schools will hear today how much they are set to receive.

UK Deputy Prime Minister Nick Clegg (not known for keeping his promises where Education is involved) said:

The consequences for a pupil being left behind in the basics when they start secondary school can last for the rest of their education.

The catch-up premium money being handed out to schools today will help pupils catch up with their peers as quickly as possible. Every child should have the chance to succeed and get off on the right foot when they start their new school.

UK Schools Minister David Laws (also unreliable on the education front and not known to be able to keep promises) said:

It is vital that every child has a strong grasp of maths and a good reading ability when starting their secondary education. No pupil should be left behind.

Our Year 7 catch-up premium for literacy and maths - £500 for every pupil needing extra help - will ensure that support is best targeted to those who most need it.

Despite a tough economic climate, this Coalition Government is making sure all children get the help they need to succeed.

The catch-up premium will support every Year 7 pupil who has not achieved at least Level 4 – the expected level – at Key Stage 2 in either or both literacy or maths.

In 2012, 13 per cent of pupils in all schools failed to gain a Level 4 in reading and 16 per cent failed to achieve this in maths (109,000 in total).

Schools will have freedom to decide how best to use the catch-up premium, but examples could include:

  • Small-group tuition supported by new classroom materials and resources, which could take place at lunchtimes or after school. 
  • Holiday support to deliver intensive catch-up over a short period. 
  • Additional services and materials to add to those provided by the school, such as tutor services or proven computer-based learning or online support.


Notes to be aware of

Payments to local authorities will be made today (Thursday 31 January). Payments to academies and Free Schools will be made on 1 February.

Funding for the catch-up premium is a maximum of £500 per pupil. Almost half of the pupils who are matched with funding are also eligible for the Pupil Premium, which is focused on disadvantaged pupils.

Schools are free to determine how best to use the funding, but Ofsted inspectors will consider how schools are using the premium when inspecting schools. They will also monitor how effectively schools report to parents on whether or not students are meeting national expectations.

Tuesday, May 1, 2012

Maths anxiety: the numbers are mounting

Maths anxiety, a feeling of fear about maths, is believed to affect about a quarter of the population, which would equate to more than 2 million schoolchildren in England alone, along with thousands of teachers.

Many of us are familiar with that blind panic when faced with a maths problem we can't fathom, but maths anxiety isn't always recognised or understood.

Maths anxiety was first identified in the 1950s, but the devastating way it affects performance is only now becoming evident.

For the first time, researchers at Stanford University in the US have used scans to see what goes on inside the brains of children with maths anxiety, and discovered that they respond to sums in the same way that people with phobias might react to snakes or spiders, showing increased activity in the fear centres.

This in turn causes a decrease in activity in the problem-solving areas, making it harder to come up with the right answers.
Dr Vinod Menon, the professor who led the project, explains its significance: "Our research is important because it is the first to identify the neural and developmental basis of maths anxiety, and our findings have significant implications for its early identification and treatment.

It is also important because it shows that math anxiety in children is real. It cannot be wished away. It needs to be attended to and treated if it persists."

If maths anxiety has such a devastating effect on ability, why aren't we doing more about it? Most teachers and academics know it exists, but there are no formally established diagnostic tools to determine when worrying about maths becomes "maths anxiety".

What's more, it can be counterproductive to tell a child that they have a problem, as Mike Ellicock, chief executive of the charity National Numeracy, explains: "Labelling and categorising children into those who can and can't do maths isn't helpful.

There's nothing more certain to be a self-fulfilling prophecy … but given encouragement and the right support, everyone can meet a functional level of numeracy."

We clearly haven't been offering the right support, as almost half of the UK's adults are only capable of basic maths. It doesn't help that we often see maths as the preserve of a few geeks.

Maths is a clear-cut subject where answers are either right or wrong, and teaching methods focusing on quick recall, mental arithmetic and on answers given in front of the class are unhelpful to those who are less confident.

Most teachers understand that confidence is as important as competence when it comes to maths achievement, but Peter Lacey, of the Association of Teachers of Mathematics, says they are often constrained by a system focused on targets and attainment levels.

"If you say slow down, ministers get concerned, but if you want to build a tall and secure house, you make sure your foundations are right. Sometimes there's a rush in the earlier years of teaching that interferes with children gaining real confidence, once it goes wrong at that stage, everything afterwards is insecure.

The pressure to get children to a particular level in tests at 11 can mean teaching them tricks to get good outcomes rather than making sure they are confident in their understanding."

Experts in the field, such as Professor David Sheffield of Derby University's Centre for Psychological Research, who is one of the country's leading specialists in maths anxiety, believe it has a lifelong effect.

So what would he advise? "The first thing to say is don't do more maths. More maths is unlikely to work because it's actually an anxiety problem. Try to deal with the anxiety with simple approaches like relaxation or breathing exercises. We did one study where we got people to do a relaxation exercise and then followed them up. Their anxiety scores had dropped and they were able to solve more problems."

Wednesday, March 7, 2012

Sunbird Educational Products Fruit & Veg Maths - YouTube



Fruit and Veg Maths is a truely interactive maths resource. Not because it can be used on an electronic whiteboard but because it can be manipulated by the teacher and/or the students.

It’s colourful and bright and guaranteed to keep your students engaged in maths lessons. Our resources are created to show students that maths lessons can be fun and interesting.

Fruit and Veg Maths allows children to practise real world situations when they are given a shopping list and have to calculate the cost.
Sunbird Educational Products

Friday, January 20, 2012

Help Children Make their own Learning Games

Click on the pictures to visit GamestarMechanic.

We are excited to think that children can use platforms like  GamestarMechanic.com to make math games to help stimulate the learning process.

Let us know your experiences with this product.



Saturday, January 7, 2012

Dyscalculia: Maths Games for children

The keen2learn range of educational games for maths has been selected to bring fun into helping practice learning in addition, subtraction, multiplication and division.

Help them learn about fractions, decimals, money, counting and telling the time. The games are ideal as a teaching resource for learning in the classroom fun practice at home from early years learning through to GCSE.

Visit the Keen-to-Learn website and decide for yourself!

An Introduction to Letters, Numbers and Geography on the Apple iPad - Montessorium


Learn the shapes, names, flags and geographical locations of the countries in North America, through puzzles, challenges and drawing exercises. Based on the proven methodology of Montessori.

Your Child Will Learn

✔ To identify the countries of North America
✔ To discern the shapes of the countries
✔ To recognize the flags of North America
✔ The development of spatial relationships
✔ Fine motor skills and vocabulary






Read more and explore the information on Montessorium

Tuesday, August 3, 2010

Math Dyslexia = Dyscalculia

Math Dyslexia = Dyscalculia, Tennessee, daughter of American poet Ishmael

Ever joked about having MATH DYSLEXIA? It's called dyscalculia. 5% of the world is affected, but no one seems to know it exists. We need to change that.

The Dyscalculia Forum is a global nonprofit support forum. Not selling anything, just spreading the word.

http://www.dyscalculiaforum.com

Monday, December 21, 2009

Studying Young Minds, to Learn How to Teach Them

For much of the last century, educators and many scientists believed that children could not learn math at all before the age of five, that their brains simply were not ready.

But recent research has turned that assumption on its head. A number of other so called, conventional wisdom, has also been overturned; geometry, reading, language and self-control in class.

The findings, mostly from a branch of research called cognitive neuroscience, are helping to clarify when young brains are best able to grasp fundamental concepts.

In one recent study, for instance, researchers found that most preschoolers could perform rudimentary arithmetic, by using a practical example; distributing candies among two or three play animals.

In another study, scientists found that the brain’s ability to link letter combinations with sounds may not be fully developed until age 11. This is much later than many have previously assumed.

The teaching of basic academic skills has up until now been largely the realm of tradition and guesswork, but it is finally giving way to approaches based on cognitive science.

In several US cities, including Boston, Washington and Nashville, schools have been experimenting with new curriculums to improve math skills in preschoolers. In others, teachers have used techniques developed by brain function scientists, to help children overcome dyslexia.

In addition, schools in about a dozen US states have begun to use a program intended to accelerate the development of young students’ frontal lobes, in an effort to improve concentration and self-control in class.

“Teaching is an ancient craft, and yet we really have had no idea how it affected the developing brain,” said Kurt Fischer, director of the Mind, Brain and Education program at Harvard. “Well, that is beginning to change, and for the first time we are seeing the fields of brain science and education work together.”

This relationship is new and still awkward, experts say, and there is more hyperbole than evidence surrounding many “brain-based” commercial products on the market. Fortunately, there are others, like an early math program taught in Buffalo schools, that have a track record.

If these and similar efforts find traction in schools, experts say, they could transform teaching from the bottom up — giving the ancient craft a modern scientific compass.

Monday, December 14, 2009

Dr Sally Ride - America's first woman in space

Dr. Sally Ride continues to encourage children to increase their awareness of Maths and Science in a world that has adopted technology as a provider of entertainment and communications.


Click on the picture to read more of her comments.