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Download full textNadia M. Theba; Craig Pournara; Shikha Takker – Pythagoras, 2024
Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…
Descriptors: Algebra, Grade 10, Mathematics Instruction, Error Patterns
Direct linkGonzález-Forte, Juan Manuel; Fernández, Ceneida; Van Hoof, Jo; Van Dooren, Wim – Mathematical Thinking and Learning: An International Journal, 2022
Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…
Descriptors: Mathematics Instruction, Teaching Methods, Case Studies, Arithmetic
Frank, Isaac – Mathematics Teacher, 2019
In this brief article, the author illustrates the flaws of FOIL (multiply the First, Outer, Inner, and Last terms of two binomials) and introduces the box method. Much like FOIL, the box method can become easy to use. Unlike FOIL, however, the box method is a more direct and visible link to using the distributive property to determine area, a…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematics Teachers, Multiplication
Tursucu, Süleyman; Spandaw, Jeroen; de Vries, Marc J. – Research in Science Education, 2020
Students in upper secondary education encounter difficulties in applying mathematics in physics. To improve our understanding of these difficulties, we examined symbol sense behavior of six grade 10 physics students solving algebraic physic problems. Our data confirmed that students did indeed struggle to apply algebra to physics, mainly because…
Descriptors: Physics, Secondary School Students, Science Instruction, Mathematics
Nataraj, Mala Saraswathy; Thomas, Michael O. J. – Australian Senior Mathematics Journal, 2006
Many students have traditionally found the processes of algebraic manipulation, especially factorisation, difficult to learn. This study investigated the value of introducing students to a Vedic method of multiplication of arithmetic numbers to algebra that is very visual in its application. This research considered a possible role of the…
Descriptors: Algebra, Multiplication, Mathematics Instruction, Case Studies
Kotsopoulos, Donna – Australian Mathematics Teacher, 2007
The author's secondary school mathematics students have often reported to her that quadratic relations are one of the most conceptually challenging aspects of the high school curriculum. From her own classroom experiences there seemed to be several aspects to the students' challenges. Many students, even in their early secondary education, have…
Descriptors: Semantics, Secondary School Mathematics, Memory, Multiplication
