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Vincent, Jill; Bardini, Caroline; Pierce, Robyn; Pearn, Catherine – Australian Senior Mathematics Journal, 2015
In this article, the authors begin by considering symbolic literacy in mathematics. Next, they examine the origins of misuse of the equals sign by primary and junior secondary students, where "=" has taken on an operational meaning. They explain that in algebra, students need both the operational and relational meanings of the equals…
Descriptors: Mathematics, Mathematics Instruction, Algebra, Symbols (Mathematics)
Contextual Approach in Teaching Mathematics: An Example Using the Sum of Series of Positive Integers
Lam, T. T. – International Journal of Mathematical Education in Science and Technology, 2007
In this paper, a contextual approach to teaching Mathematics at the pre-university level is recommended, and an example is illustrated. A "context" in the form of a real common mathematical problem is presented to the students. Different approaches to tackle the problem (from topics within and outside the syllabus) can be elicited from students.…
Descriptors: Teaching Methods, Mathematics Instruction, Student Attitudes, Mathematical Formulas
Peer reviewedRamsey, Gordon P. – Physics Teacher, 1991
An incident light ray parallel to the optical axis of a parabolic mirror will be reflected at the focal point and vice versa. Presents a mathematical proof that uses calculus, algebra, and geometry to prove this reflective property. (MDH)
Descriptors: Algebra, Calculus, Geometry, High Schools
Peer reviewedSastry, K. R. S. – College Mathematics Journal, 1991
Discussed are properties possessed by polygons inscribed in the lattice parabola y=x, including the area of a triangle, triangles of minimum area, conditions for right triangles, triangles whose area is the cube of an integer, and implications of Pick's Theorem. Further directions to pursue are suggested. (MDH)
Descriptors: Algebra, Analytic Geometry, Area, College Mathematics
Peer reviewedde Villiers, Michael D. – Physics Teacher, 1991
Presents a simple mathematical model in which resultant speed is the sum or difference between wind speed and runner speed and a more complex model that assumes that only a proportion of the wind's speed affects one's running speed to describe the time difference between running with and without wind. (MDH)
Descriptors: Algebra, High Schools, Integrated Activities, Interdisciplinary Approach

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