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Roan, Elizabeth; Czocher, Jennifer – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Literature typically describes mathematization, the process of transforming a real-world situation into a mathematical model, in terms of desirable actions and behaviors students exhibit. We attended to STEM undergraduate students' quantitative reasoning as they derived equations. Analysis of the meanings they held for arithmetic operations (+, -,…
Descriptors: Mathematics Instruction, Task Analysis, Mathematical Models, STEM Education
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AsKew, A.; Kennedy, K.; Klima, V. – PRIMUS, 2018
In this article we discuss relationships between the cyclic group Z[subscript 12] and Western tonal music that is embedded in a 12-note division of the octave. We then offer several questions inviting students to explore extensions of these relationships to other "n"-note octave divisions. The answers to most questions require only basic…
Descriptors: Arithmetic, Music Theory, Correlation, Numbers
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Contreras, José N.; Martínez-Cruz, Armando M. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
This study investigates the extent to which pre-service elementary teachers (PETs) use their realworld knowledge to solve problems for which the result of the arithmetic operation is problematic, if one takes into consideration the reality of the context. A paper-and-pencil test was administered to 566 PETs enrolled in mathematics content courses.…
Descriptors: Preservice Teachers, Elementary School Teachers, Word Problems (Mathematics), Problem Solving
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…
Descriptors: Program Effectiveness, Foreign Countries, Symbols (Mathematics), Preservice Teacher Education