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Engelke Infante, Nicole; Murphy, Kristen; Glenn, Celeste; Sealey, Vicki – International Journal of Mathematical Education in Science and Technology, 2018
Knowing when students have the prerequisite knowledge to be able to read and understand a mathematical text is a perennial concern for instructors. Using text describing Newton's method and Vinner's notion of concept image, we exemplify how prerequisite knowledge influences understanding. Through clinical interviews with first-semester calculus…
Descriptors: Calculus, Mathematical Concepts, Imagery, Schemata (Cognition)
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Dunn, Michelle; Loch, Birgit; Scott, Wendy – International Journal of Mathematical Education in Science and Technology, 2018
First-year engineering students often struggle to see the relevance of theoretical mathematical concepts for their future studies and professional careers. This is an issue, as students who do not see relevance in fundamental parts of their studies may disengage from these parts and focus their efforts on other subjects they think will be more…
Descriptors: Partnerships in Education, Mathematics, Engineering Education, Foreign Countries
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Sevimli, Eyup – International Journal of Mathematical Education in Science and Technology, 2018
The purpose of this study was to determine how undergraduates comprehend the theoretical relations between differentiability and integrability concepts within the frame of proof schemes in analysis courses. The study participants were 172 freshmen from three different mathematics departments in Turkey. A questionnaire was used to evaluate the…
Descriptors: Undergraduate Students, Mathematics Instruction, Mathematical Logic, Knowledge Level
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Ní Shé, Caitríona; Mac an Bhaird, Ciarán; Ní Fhloinn, Eabhnat; O'Shea, Ann – International Journal of Mathematical Education in Science and Technology, 2017
In this paper we report on the outcomes of two surveys carried out in higher education institutions of Ireland; one of students attending first-year undergraduate non-specialist mathematics modules and another of their lecturers. The surveys aimed to identify the topics that these students found difficult, whether they had most difficulty with the…
Descriptors: Foreign Countries, College Freshmen, Student Surveys, College Faculty
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Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç – International Journal of Mathematical Education in Science and Technology, 2017
In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…
Descriptors: Foreign Countries, College Freshmen, Engineering Education, Mathematical Models
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Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R. – International Journal of Mathematical Education in Science and Technology, 2017
Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…
Descriptors: Learner Engagement, Mathematics Anxiety, Mathematics Instruction, Interdisciplinary Approach
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Cook, Samuel A.; Fukawa-Connelly, Timothy – International Journal of Mathematical Education in Science and Technology, 2016
Studies have shown that at the end of an introductory statistics course, students struggle with building block concepts, such as mean and standard deviation, and rely on procedural understandings of the concepts. This study aims to investigate the understandings entering freshman of a department of mathematics and statistics (including mathematics…
Descriptors: Majors (Students), Mathematics, Statistics, College Freshmen
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Koban, Lori; Sisneros-Thiry, Simone – International Journal of Mathematical Education in Science and Technology, 2015
FOIL is a well-known mnemonic that is used to find the product of two binomials. We conduct a large sample (n = 252) observational study of first-year college students and show that while the FOIL procedure leads to the accurate expansion of the product of two binomials for most students who apply it, only half of these students exhibit conceptual…
Descriptors: College Mathematics, College Freshmen, Mathematics Instruction, Teaching Methods
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Altiparmak, Kemal – International Journal of Mathematical Education in Science and Technology, 2014
In mathematic courses, construction of some concepts by the students in a meaningful way may be complicated. In such circumstances, to embody the concepts application of the required technologies may reinforce learning process. Onset of learning process over daily life events of the student's environment may lure their attention and may…
Descriptors: Animation, Cognitive Processes, Mathematics Instruction, Experimental Groups
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Ho, Weng Kin; Ho, Foo Him; Lee, Tuo Yeong – International Journal of Mathematical Education in Science and Technology, 2012
This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].
Descriptors: Calculus, Mathematics Instruction, Mathematical Logic, Mathematical Concepts
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Cetin, Nezahat – International Journal of Mathematical Education in Science and Technology, 2009
In this work, we investigated first-year university students' skills in using the limit concept. They were expected to understand the relationship between the limit-value of a function at a point and the values of the function at nearby points. To this end, first-year students of a Turkish university were given two tests. The results showed that…
Descriptors: Undergraduate Students, Mathematics Instruction, College Mathematics, Foreign Countries
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Thaheem, A. B.; Laradji, A. – International Journal of Mathematical Education in Science and Technology, 2003
This note provides a simple method to extend the usual Leibniz rule for higher derivatives of the product of two functions to several functions, which is within the reach of freshman calculus students.
Descriptors: Calculus, Mathematical Concepts, College Mathematics, Mathematics Instruction
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Gutierrez, Rosa Maria Afonso; Diaz, Jose Angel Dorta – International Journal of Mathematical Education in Science and Technology, 2002
The continuous technological progress of the past few decades affords a different orientation to the teaching-learning process, which is useful and advantageous when mathematical concepts are transmitted. This article pursues two different aims. The first one is to examine the present state of the traditional process in relation to the concepts of…
Descriptors: Computer Software, Mathematical Concepts, Mathematics Education, Higher Education