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Download full textCourtney Nagle; Deborah Moore-Russo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
This paper provides a case study account of a preservice secondary mathematics teacher's thinking while engaging in slope tasks using dynagraphs. The data included audio recordings and screen captures of a small group of preservice teachers engaging with these tasks, with our analysis focusing on the case of Robin. Despite familiarity using slope…
Descriptors: Mathematics Education, Algebra, Thinking Skills, Mathematics Skills
Direct linkVladimir Miškovic – Australian Mathematics Education Journal, 2023
The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…
Descriptors: Algebra, Geometric Concepts, Plane Geometry, Mathematical Formulas
Anatriello, Giuseppina; Tortoriello, Francesco Saverio; Vincenzi, Giovanni – International Journal of Mathematical Education in Science and Technology, 2016
In line with the latest positions of Gottlob Frege, this article puts forward the hypothesis that the cognitive bases of mathematics are geometric in nature. Starting from the geometry axioms of the "Elements" of Euclid, we introduce a geometric theory of proportions along the lines of the one introduced by Grassmann in…
Descriptors: Mathematics, Mathematics Instruction, Geometry, Numbers
McCartin, Brian J. – PRIMUS, 2008
This note presents geometric and physical interpretations of the sufficient condition for a critical point to be a strict relative extremum: f[subscript xx]f[subscript yy] - f[superscript 2][subscript xy] greater than 0. The role of the double derivative f[subscript xy] in this inequality will be highlighted in these interpretations. (Contains 14…
Descriptors: Mathematics Instruction, Mathematical Formulas, Geometric Concepts, Mathematical Concepts
Okigbo, Ebele C.; Osuafor, Abigail M. – Educational Research and Reviews, 2008
The study investigated the effect of using mathematics laboratory in teaching on students' achievement in Junior Secondary School Mathematics. A total of 100 JS 3 Mathematics students were involved in the study. The study is a quasi-experimental research. Results were analyzed using mean, standard deviation and analysis of covariance (ANCOVA).…
Descriptors: Secondary School Mathematics, Mathematics Achievement, Laboratories, Plane Geometry
