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Sparavigna, Amelia Carolina; Baldi, Mauro Maria – International Journal of Mathematical Education in Science and Technology, 2017
The regular pentagon had a symbolic meaning in the Pythagorean and Platonic philosophies and a subsequent important role in Western thought, appearing also in arts and architecture. A property of regular pentagons, which was probably discovered by the Pythagoreans, is that the ratio between the diagonal and the side of these pentagons is equal to…
Descriptors: Geometric Concepts, Geometry, Mathematical Concepts, Problem Solving
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Bütüner, Suphi Önder – International Journal of Mathematical Education in Science and Technology, 2018
The aim of this study is to compare students' use of number sense strategies based on their mathematics success levels. Participants were 129 seventh graders from three elite secondary schools in Trabzon. Data were collected through a written examination with 10 problems and semi-structured interviews. Interview data were analyzed by considering…
Descriptors: Comparative Analysis, Number Concepts, Mathematics Achievement, Secondary School Students
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Gordon, Sheldon P.; Yang, Yajun – International Journal of Mathematical Education in Science and Technology, 2017
This article takes a closer look at the problem of approximating the exponential and logarithmic functions using polynomials. Either as an alternative to or a precursor to Taylor polynomial approximations at the precalculus level, interpolating polynomials are considered. A measure of error is given and the behaviour of the error function is…
Descriptors: Mathematical Formulas, Algebra, Mathematics Activities, Error of Measurement
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Johnston, Barbara M. – International Journal of Mathematical Education in Science and Technology, 2017
This paper describes and analyses the implementation of a "flipped classroom" approach, in an undergraduate mathematics course on numerical methods. The approach replaced all the lecture contents by instructor-made videos and was implemented in the consecutive years 2014 and 2015. The sequential case study presented here begins with an…
Descriptors: Mathematics Education, Case Studies, Blended Learning, Educational Technology
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Fathurrohman, Maman; Porter, Anne; Worthy, Annette L. – International Journal of Mathematical Education in Science and Technology, 2014
In this paper, the use of guided hyperlearning, unguided hyperlearning, and conventional learning methods in mathematics are compared. The design of the research involved a quasi-experiment with a modified single-factor multiple treatment design comparing the three learning methods, guided hyperlearning, unguided hyperlearning, and conventional…
Descriptors: College Mathematics, Mathematics Instruction, Comparative Analysis, Teaching Methods
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Shutler, Paul M. E.; Fong, Ng Swee – International Journal of Mathematical Education in Science and Technology, 2010
Modern Hindu-Arabic numeration is the end result of a long period of evolution, and is clearly superior to any system that has gone before, but is it optimal? We compare it to a hypothetical base 5 system, which we dub Predator arithmetic, and judge which of the two systems is superior from a mathematics education point of view. We find that…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Computation, Arithmetic