Grant to swat math problem-solving bugs. (Curriculum update: the latest developments in math, science, language arts and social studies).Math education researchers have studied how kids solve computational problems In theoretical computer science, a computational problem is a mathematical object representing a question that computers might want to solve. For example, "given any number x, determine whether x is prime" is a computational problem. , from the mental models they use to visualize multiplication multiplication, fundamental operation in arithmetic and algebra. Multiplication by a whole number can be interpreted as successive addition. For example, a number N multiplied by 3 is N + N + N. or how they see these problems as repeated addition, to the predictable errors they make in using strategies to solve problems. But translating research about how children learn math into something teachers can use to help students achieve has been a challenge. A two-year, $460,000 National Science Foundation grant is funding research to delve further into the strategies children use in arithmetic and help teachers correct unsuccessful strategies, known as "bugs." Children often use rules they've learned for certain math problems and apply them to other problems. For example, a student may compute To perform mathematical operations or general computer processing. For an explanation of "The 3 C's," or how the computer processes data, see computer. : 1/4 + 1/4 = 2/8 because of previous lessons on adding whole numbers. "This is one of the first times that we're trying to use this research in a way that's designed to help teachers assess [these bugs] for the purpose of instruction," says Herbert Ginsburg Herbert P. Ginsburg is Jacob H. Schiff Foundation Professor of Psychology & Education at Teachers College, Columbia University. He is a leading interpreter of children's understanding of mathematics, with research and teaching interests in intellectual development, of Columbia's Teachers College. He's a specialist in interpreting children's understanding of math and one of three collaborators on the study. When the research and evaluation stage of the study is complete, New York New York, state, United States New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of City-based Wireless Generation, another co-collaborator, will create a new math new math n. Mathematics taught in elementary and secondary schools that constructs mathematical relationships from set theory. Also called new mathematics. tool for observational assessments on handheld computers A computing device that can be easily held in one hand while the other hand is used to operate it. The Palm devices are a popular example. See Palm, smartphone and palmtop. ; the tool will be available using the company's mClass platform. Ginsburg, who is the Jacob H. Schiff professor of psychology and education, says the tool will help teachers understand not only the problems but also some of the unexpected strengths students have, such as a good grasp of mental procedures. "The work is important because it helps teachers to understand kids' thinking. And [this] is one of the keys to successful education," he says. Districts interested in piloting the assessment tool can contact Ginsburg at hpg4@columbia.edu. |
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