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Direct linkJessica L. Smith; Spirit Karcher; Ian Whitacre – International Journal of Research in Undergraduate Mathematics Education, 2024
The purpose of this study was to examine the ways advanced mathematics students define "number" and the degree to which their definitions extend to different number domains. Of particular interest for this study are learners' fundamental conceptions of number and the implications for learners' interpretations of complex numbers (a + bi).…
Descriptors: Numbers, Undergraduate Students, Definitions, Mathematical Concepts
Tobias, Jennifer M.; Roy, George J.; Safi, Farshid – International Journal for Mathematics Teaching and Learning, 2015
This article examines prospective elementary teachers' conceptions of unitizing with whole numbers and fraction concepts and operations throughout a semester-long mathematics content course. Student work samples and classroom conversations are used to illustrate the types of unitizing understandings that prospective teachers bring to teacher…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematical Concepts, Concept Formation
Gagatsis, Athanasios; Panaoura, Areti – International Journal of Mathematical Education in Science and Technology, 2014
The study aimed to investigate students' conceptions on the notion of absolute value and their abilities in applying the specific notion in routine and non-routine situations. A questionnaire was constructed and administered to 17-year-old students. Data were analysed using the hierarchical clustering of variables and the implicative method, while…
Descriptors: Mathematics Instruction, Mathematical Concepts, Questionnaires, Mathematical Logic
Education Commission of the States, Denver, CO. National Assessment of Educational Progress. – 1977
The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…
Descriptors: Computation, Definitions, Educational Assessment, Elementary Secondary Education
Download full textNational Assessment of Educational Progress, Princeton, NJ. – 1988
The National Assessment of Educational Progress (NAEP) reports on the status and progress of educational achievement in the United States. Based on its surveys, "The Nation's Report Card" provides comprehensive information about what students in the United States can do in various subject areas. The framework for the 1990 mathematics…
Descriptors: Algebra, Data Analysis, Educational Assessment, Elementary School Mathematics
Education Commission of the States, Denver, CO. National Assessment of Educational Progress. – 1977
A collection of 96 mathematics items are presented for state and local education agencies to draw upon in designing their own minimal competency tests. These items, part of the National Assessment of Educational Progress, have been reviewed in terms of their appropriateness for a minimal competency test for high school graduation. The items are…
Descriptors: Achievement Tests, Adults, Algebra, Computation
