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F. M. S. Lima – International Journal of Mathematical Education in Science and Technology, 2025
In this short note I present an elementary proof of irrationality for the number "e," the base of the natural logarithm. It is simpler than other known proofs as it does not use comparisons with geometric series, nor Beukers' integrals, and it does not assume that "e" is a rational number from the beginning.
Descriptors: Mathematical Logic, Number Concepts, Geometry, Equations (Mathematics)
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Johanna Schoenherr; Stanislaw Schukajlow – ZDM: Mathematics Education, 2024
External visualization (i.e., physically embodied visualization) is central to the teaching and learning of mathematics. As external visualization is an important part of mathematics at all levels of education, it is diverse, and research on external visualization has become a wide and complex field. The aim of this scoping review is to…
Descriptors: Visualization, Mathematics Education, Educational Research, Pictorial Stimuli
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Giannis Karagiannakis; Marie-Pascale Noël; Anna Baccaglini-Frank; Cristiano Termine – Discover Education, 2024
By the end of primary school, children are expected to acquire a range of mathematical skills that progressively develop. This study aimed to gain insight into how a large number of numerical and geometrical measures are grouped and whether the structures shift or remain invariant along child's development based on the data obtained from a sample…
Descriptors: Mathematics Skills, Classification, Elementary School Students, Geometry
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Narintra Mingolo – Higher Education Studies, 2024
This research is a quasi-experimental study with the following objectives: 1) To examine the effectiveness of cooperative learning activities using the TAI technique combined with activity-based learning on the topic of congruence for students at Roi Et Rajabhat University, aiming to achieve the 75/75 efficiency criterion. 2) To compare…
Descriptors: Cooperative Learning, Learning Activities, Active Learning, Problem Based Learning