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Phillips, Matthew; Robb, Kayla; Shipman, Barbara A. – PRIMUS, 2023
In an interplay between the Fundamental Theorem of Arithmetic and topology, this paper presents material for a capstone seminar that expands on ideas from number theory, analysis, and linear algebra. It is designed to generate an immersive way of learning in which students discover new connections between familiar concepts, create definitions, and…
Descriptors: Capstone Experiences, Algebra, Mathematics Education, Mathematics Instruction
Karst, Nathaniel; Slegers, Rosa – PRIMUS, 2019
Many of the applied mathematics courses we teach touch upon a range of rich and important ethical issues -- issues that, for a number of reasons, are rarely openly discussed in class. In this work, we describe a sequence of activities co-designed and co-taught by philosophy and mathematics faculty in the hopes of bridging the divide between the…
Descriptors: Team Teaching, Ethics, Mathematics Instruction, Technology
White, Jonathan J. – PRIMUS, 2017
A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…
Descriptors: Numbers, Sequential Learning, Active Learning, Inquiry
Hunt, Jessica – Australian Primary Mathematics Classroom, 2015
In this article Jessica Hunt explores the use of clinical interviews to gain a deep understanding of students' knowledge. Examples of clinical interviews are provided and advice for planning, giving and interpreting the results of interviews is also included.
Descriptors: Elementary School Mathematics, Elementary School Students, Mathematics Instruction, Teaching Methods
National 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