A study by Dr Lio Moscardini, in Strathclyde's Faculty of Humanities & Social Sciences, found that children deal better with arithmetical problems if they can use their own intuitive strategies such as using number blocks, drawings or breaking an equation up into smaller, simpler parts- rather than being instructed in arithmetical facts and procedures.
All the teachers taking part in the study underwent professional development in children’s mathematical thinking before introducing these ideas into their classrooms. Nearly all felt that their pupils had benefited from learning in this way- and several said they had previously underestimated the children's ability and potential.
Dr Moscardini, a specialist in additional support needs, said: “We found that pupils with learning difficulties were able to develop an understanding of arithmetic through engaging in these activities, without explicit prior instruction.
“When teachers have an insight into children’s mathematical thinking they can use this knowledge to inform their teaching. The study also supported the view that maths learning isn’t just about acquiring a series of skills but is about making sense of problems and building understanding.”
The children’s solutions, which they had not been taught in advance, included:
Answering a question about how many children are on a bus after a group gets on by representing two sets of children with cubes, drawings or fingers and joining the sets together
Splitting up the sum 48 + 25 by adding 40 to 20, then adding eight and five separately for the total of 73
Using context and language and modifying the way a problem is phrased. In one question, a boy having 14 stickers and giving six away was changed to him giving away "six of his stickers," allowing a pupil to follow the language of the problem to make sense of it
Some children were able to help out their fellow pupils and became increasingly able to recognise similarities between certain types of problem, enabling them to apply the same solutions.
The children were found to follow the same path in understanding adding, subtraction, multiplication and division as those who did not have the same difficulties.
The research paper, I Like It Instead of Maths, has been published in the British Journal of Special Education ,Volume 37, Issue 3, pages 130–138 (DOI: 10.1111/j.1467-8578.2010.00461.x)
Paul Gallagher | EurekAlert!
Advanced analysis of brain structure shape may track progression to Alzheimer's disease
26.10.2016 | Massachusetts General Hospital
Indian roadside refuse fires produce toxic rainbow
26.10.2016 | Duke University
Physicists from the University of Würzburg have designed a light source that emits photon pairs. Two-photon sources are particularly well suited for tap-proof data encryption. The experiment's key ingredients: a semiconductor crystal and some sticky tape.
So-called monolayers are at the heart of the research activities. These "super materials" (as the prestigious science magazine "Nature" puts it) have been...
Ultrafast lasers have introduced new possibilities in engraving ultrafine structures, and scientists are now also investigating how to use them to etch microstructures into thin glass. There are possible applications in analytics (lab on a chip) and especially in electronics and the consumer sector, where great interest has been shown.
This new method was born of a surprising phenomenon: irradiating glass in a particular way with an ultrafast laser has the effect of making the glass up to a...
Terahertz excitation of selected crystal vibrations leads to an effective magnetic field that drives coherent spin motion
Controlling functional properties by light is one of the grand goals in modern condensed matter physics and materials science. A new study now demonstrates how...
Researchers from the Institute for Quantum Computing (IQC) at the University of Waterloo led the development of a new extensible wiring technique capable of controlling superconducting quantum bits, representing a significant step towards to the realization of a scalable quantum computer.
"The quantum socket is a wiring method that uses three-dimensional wires based on spring-loaded pins to address individual qubits," said Jeremy Béjanin, a PhD...
In a paper in Scientific Reports, a research team at Worcester Polytechnic Institute describes a novel light-activated phenomenon that could become the basis for applications as diverse as microscopic robotic grippers and more efficient solar cells.
A research team at Worcester Polytechnic Institute (WPI) has developed a revolutionary, light-activated semiconductor nanocomposite material that can be used...
14.10.2016 | Event News
14.10.2016 | Event News
12.10.2016 | Event News
28.10.2016 | Power and Electrical Engineering
28.10.2016 | Physics and Astronomy
28.10.2016 | Life Sciences