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Students' Understanding of Quadratic Equations
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López, Jonathan; Robles, Izraim; Martínez-Planell, Rafael – International Journal of Mathematical Education in Science and Technology, 2016
Action-Process-Object-Schema theory (APOS) was applied to study student understanding of quadratic equations in one variable. This required proposing a detailed conjecture (called a genetic decomposition) of mental constructions students may do to understand quadratic equations. The genetic decomposition which was proposed can contribute to help…
Descriptors: Equations (Mathematics), Semi Structured Interviews, Undergraduate Students, Calculus
Student Enrichment in Mathematics: A Case Study with First Year University Students
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Wiggins, Harry; Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2017
This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an…
Descriptors: Enrichment, Enrichment Activities, Mathematics, Mathematics Instruction
Different Aspects of the Monotonicity of a Function
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Tossavainen, Timo; Haukkanen, Pentti; Pesonen, Martti – International Journal of Mathematical Education in Science and Technology, 2013
In this paper, we investigate which aspects are overriding in the concept images of monotonicity of Finnish tertiary mathematics students, i.e., on which aspects of monotonicity they base their argument in different types of exercises related to that concept. Further, we examine the relationship between the quality of principal aspects and the…
Descriptors: Foreign Countries, College Students, College Science, Calculus
Is Small, Small Enough? Students' Understanding the Need for the Definition of the Derivative as a Limit
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Kidron, Ivy – International Journal for Technology in Mathematics Education, 2015
The research relates to undergraduate students' understanding of mathematical concepts that relate to the conceptualisation of the continuous such as the notion of limit. The cognitive difficulties that accompany the learning of these concepts at the different stages of the mathematics education are well reported in the literature. I analyse the…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Education, Mathematical Concepts
Introducing the Improved Heaviside Approach to Partial Fraction Decomposition to Undergraduate Students: Results and Implications from a Pilot Study
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Man, Yiu-Kwong – International Journal of Mathematical Education in Science and Technology, 2012
Partial fraction decomposition is a useful technique often taught at senior secondary or undergraduate levels to handle integrations, inverse Laplace transforms or linear ordinary differential equations, etc. In recent years, an improved Heaviside's approach to partial fraction decomposition was introduced and developed by the author. An important…
Descriptors: Tests, Algebra, Equations (Mathematics), Foreign Countries
TIMSS Advanced 2008 Assessment Frameworks
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Garden, Robert A.; Lie, Svein; Robitaille, David F.; Angell, Carl; Martin, Michael O.; Mullis, Ina V.S.; Foy, Pierre; Arora, Alka – International Association for the Evaluation of Educational Achievement, 2006
Developing the Trends in International Mathematics and Science Study (TIMSS) Advanced 2008 Assessment Frameworks was a collaborative venture involving mathematics and physics experts from around the world. The document contains two frameworks for implementing TIMSS Advanced 2008--one for advanced mathematics and one for physics. It also contains…
Descriptors: Cognitive Processes, Geometry, Calculus, Algebra