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Shuyuan Yu – ProQuest LLC, 2022
Analogy is a powerful learning mechanism for children to learn novel, abstract concepts from only limited input, yet also requires cognitive supports. My dissertation sought to propose and examine number lines as a mathematical schema of the number system to facilitate both the development of rational number understanding and analogical reasoning.…
Descriptors: Logical Thinking, Mathematical Logic, Mathematics Instruction, Visual Aids
Park, Jiyoon – ProQuest LLC, 2019
Despite the growing attention being paid to teaching mathematics for students with disabilities, the existing research tends to focus on mathematical skill acquisition, but not on skill maintenance. Maintenance of mathematical skills is especially important as mathematics has applications in daily life and is directly related to important life…
Descriptors: Mathematics Education, Students with Disabilities, Mathematics Instruction, Mathematics Skills
Jacobs, Jennifer A. – ProQuest LLC, 2013
Adults are prone to treating percents, one representational format of rational numbers, as novel cases of natural number. This suggests that percent values are not differentiated from natural numbers; a conceptual shift from the natural numbers to the rational numbers has not yet occurred. This is most surprising, considering people are inundated…
Descriptors: Numbers, Statistics, Algebra, Problem Solving
Feeley, Susan Jane – ProQuest LLC, 2013
The purpose of this study was to determine whether multiple-choice and constructed-response items assessed prospective secondary mathematics teachers' understanding of the concept of function. The conceptual framework for the study was the Dreyfus and Eisenberg (1982) Function Block. The theoretical framework was Sierpinska's (1992, 1994)…
Descriptors: Preservice Teachers, Secondary School Teachers, Mathematics Teachers, Pedagogical Content Knowledge
Lewis, Virginia Vimpeny – ProQuest LLC, 2011
Number Concepts; Measurement; Geometry; Probability; Statistics; and Patterns, Functions and Algebra. Procedural Errors were further categorized into the following content categories: Computation; Measurement; Statistics; and Patterns, Functions, and Algebra. The results of the analysis showed the main sources of error for 6th, 7th, and 8th…
Descriptors: Problem Solving, Concept Formation, Number Concepts, Grade 6