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Mathematically Correct:. Implementing the Best Equation for Math Instruction in US Schools Katherine Vazquez ED 7201.T Fall 2011. Statement of the Problem.
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Mathematically Correct: Implementing the Best Equation for Math Instruction in US Schools Katherine Vazquez ED 7201.T Fall 2011
Statement of the Problem • International mathematics assessments indicate that United States students consistently rank far behind their peers in similarly developed countries • New techniques that ignore tried and true math teaching methods are a key source of the disparity. • Education reformers, representing the education establishment, believe the learning "process" is more important than memorizing core knowledge. They see self-discovery as more important than getting the right answer. • Traditionalists, consisting mainly of parent groups and mathematicians, advocate teaching the traditional algorithms. They advocate clear, concrete standards based on actually solving math problems. The destination - getting the right answer - is important to traditionalists.
Current Classroom Practice and Theorists Traditionalists Use class texts like “Everyday Math” Use cumbersome methods to find answers Believe students should be able to solve problems on their own or “intuitively” M.J. McDermott- favors methods used in countries with high math achievement Dr. Phillip Reid- does not rely on one method to the exclusion of another Reformers
Examples of Class Techniques by Reformers -Emphasize the use of calculators -use confusing techniques for multiplication: -Lattice Method:
Reviewof the Literature • Son & Senk (2010) found more multistep, procedural problems in a Korean math curriculum than was available the American text “Everyday Math” • They also found that Americans focused more heavily on conceptual knowledge whereas Koreans developed conceptual & procedural knowledge simultaneusly
What works? • In an analysis of four US Elementary math curricula, Harris (2010) found the textbook Saxon Math to yield the highest performance outcomes in math. • Saxon math favors procedural knowledge and traditional algorithms for efficient and optimal math instruction.
Research Hypothesis • At the end of the school year, two groups of grade 4 students will be tested for proficiency and speed (average rate of completion)in multiple digit multiplication and long division. • Control group:students who used the textbook Everyday Math. • Research group: students that utilized a book with traditional algorithms such as SRA Real Math or Saxon Math. • Students who studied traditional algorithms are expected to yield higher scores and exhibit a shorter average amount of time for completion.