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Adiredja, Aditya P. – International Journal of Mathematical Education in Science and Technology, 2021
A few case studies have suggested students' struggles with the "temporal order" of epsilon and delta in the formal limit definition. This study problematizes this hypothesis by exploring students' claims in different contexts and uncovering productive resources from students to make sense of the critical relationship between epsilon and…
Descriptors: Mathematics Instruction, Teaching Methods, Difficulty Level, Generalization
Merkley, Rebecca; Shimi, Andria; Scerif, Gaia – ZDM: The International Journal on Mathematics Education, 2016
It is not yet understood how children acquire the meaning of numerical symbols and most existing research has focused on the role of approximate non-symbolic representations of number in this process (see Piazza, ("Trends in Cognitive" 14(12):542-551, 2010). However, numerical symbols necessitate an understanding of both order and…
Descriptors: Mathematics, Mathematics Instruction, Symbols (Mathematics), Number Concepts
Hattikudur, Shanta; Sidney, Pooja G.; Alibali, Martha W. – Journal of Problem Solving, 2016
Students benefit from learning multiple procedures for solving the same or related problems. However, past research on comparison instruction has focused on comparing multiple formal procedures. This study investigated whether the benefits of comparing procedures extend to comparisons that involve informal and formal procedures. We also examined…
Descriptors: Mathematics Education, Problem Solving, Student Attitudes, Mathematics Skills
Mamona-Downs, Joanna – International Journal of Mathematical Education in Science and Technology, 2010
An account is made of the relationship between the convergence behaviour of a sequence and the accumulation points of the underlying set of the sequence. The aim is to provide students with opportunities to contrast two types of mathematical entities through their commonalities and differences in structure. The more set-oriented perspective that…
Descriptors: Cognitive Processes, Comparative Analysis, Thinking Skills, Calculus
Mettler, Everett; Massey, Christine M.; Kellman, Philip J. – Grantee Submission, 2011
Adaptive learning techniques have typically scheduled practice using learners' accuracy and item presentation history. We describe an adaptive learning system (Adaptive Response Time Based Sequencing--ARTS) that uses both accuracy and response time (RT) as direct inputs into sequencing. Response times are used to assess learning strength and to…
Descriptors: Reaction Time, Accuracy, Cognitive Science, Grade 3

Lyons, J. Doyle – 1990
Upon entry to New River Community College (NRCC), placement tests are administered to students enrolling in curricula and to students enrolling in English and mathematics classes. Based on preestablished cutoff scores on the placement tests, students are advised by counselors to take appropriate courses. In 1990, NRCC tracked students from…
Descriptors: Academic Achievement, Basic Writing, Community Colleges, Comparative Analysis
Hanson, Lincoln F., Ed. – Office of Education, US Department of Health, Education, and Welfare, 1963
This bulletin lists materials available in the fall of 1963 to assist educators in their selections of programmed instruction materials, and updates the inaugural issue, "Programs '62." Since the 1962 edition provided a number of first analyses of programmed material available, some of the present statistical data have been related to last year's…
Descriptors: Educational History, Programmed Instructional Materials, Guides, Teaching Methods
Hanson, Lincoln F. – Office of Education, US Department of Health, Education, and Welfare, 1963
This bulletin lists materials available in the fall of 1963 to assist educators in their selections of programmed instruction materials, and updates the inaugural issue, "Programs '62." Since the 1962 edition provided a number of first analyses of programmed material available, some of the present statistical data have been related to last year's…
Descriptors: Educational History, Programmed Instructional Materials, Guides, Teaching Methods