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Planchard, Marie – Engineering Design Graphics Journal, 2007
At some point in their education, pre-engineering students will take physics and/or calculus. For many freshmen who aren't certain about their career paths, taking these courses is a litmus test to determine whether they have the aptitude or desire to pursue an engineering degree. Therein lies the challenge for many students in the U.S. Science,…
Descriptors: Engineering Education, Student Interests, Physics, Computer Software
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Wagner, Jennifer; Sharp, Janet – Mathematics Teacher, 2017
Calculus, perhaps more than other areas of mathematics, has a reputation for being steeped with procedures. In fact, through the years, it has been noticed of many students getting caught in the trap of trying to memorize algorithms and rules without developing associated concept knowledge. Specifically, students often struggle with the…
Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Concept Formation
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Cromley, Jennifer G.; Booth, Julie L.; Wills, Theodore W.; Chang, Briana L.; Tran, Nhi; Madeja, Michael; Shipley, Thomas F.; Zahner, William – Mathematical Thinking and Learning: An International Journal, 2017
Spatial skills have been shown in various longitudinal studies to be related to multiple science, technology, engineering, and math (STEM) achievement and retention. The specific nature of this relation has been probed in only a few domains, and has rarely been investigated for calculus, a critical topic in preparing students for and in STEM…
Descriptors: Spatial Ability, Regression (Statistics), STEM Education, Majors (Students)
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Baum, Dave – Physics Teacher, 2019
College physics textbooks (algebra based) tend to shy away from topics that are usually thought to require calculus. I suspect that most students are just as happy to avoid these topics. Occasionally, I encounter students who are not so easily satisfied, and have found it useful to maintain a storehouse of non-calculus solutions for some common…
Descriptors: Physics, Science Instruction, Calculus, Trigonometry
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Delgado, Huimei; Delgado, Michael S.; Hilton, John, III – International Review of Research in Open and Distributed Learning, 2019
Open educational resources (OER), which are free and openly licensed educational materials, have been a widely discussed topic in response to high textbook costs, the need for more pedagogical flexibility, and inequality in access to educational materials. In this study we examine the efficacy of OER through a quantitative analysis of the impact…
Descriptors: Shared Resources and Services, Educational Technology, Technology Uses in Education, Calculus
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Kersey, Scott N. – Journal of Computers in Mathematics and Science Teaching, 2019
Student perceptions on teaching and learning are investigated in a side-to-side comparison between traditional (closed, CER) non-free course materials and free open educational resources (OER). The primary resources being compared are textbook and automatically-graded web-based homework systems. The results are based on a 32 item survey given to…
Descriptors: College Students, Student Attitudes, College Mathematics, Calculus
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DeVecchi, James Martin – Journal for Research in Mathematics Education, 1981
A logically and empirically valid structure of knowledge for differential calculus was made by textbook analysis and by collecting data from a first semester college calculus course. (MP)
Descriptors: Abstracts, Calculus, College Mathematics, Educational Research
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Robertson, Robert L. – PRIMUS, 2013
The divergence theorem, Stokes' theorem, and Green's theorem appear near the end of calculus texts. These are important results, but many instructors struggle to reach them. We describe a pathway through a standard calculus text that allows instructors to emphasize these theorems. (Contains 2 figures.)
Descriptors: Mathematics Instruction, College Mathematics, Validity, Mathematical Logic
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Bergwall, Andreas; Hemmi, Kirsti – Mathematical Thinking and Learning: An International Journal, 2017
Students' difficulties with proof, scholars' calls for proof to be a consistent part of K-12 mathematics, and the extensive use of textbooks in mathematics classrooms motivate investigations on how proof-related items are addressed in mathematics textbooks. We contribute to textbook research by focusing on opportunities to learn proof-related…
Descriptors: Foreign Countries, Comparative Education, Textbook Content, Mathematical Logic
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Tuluk, Güler – Journal of Curriculum and Teaching, 2020
This study questions the dominant approach in the presentation of the concept of slope in undergraduate education through mathematics textbooks. For this purpose, five mathematics textbooks, were analyzed for problems related to slope, and similarities and differences were revealed. First, the subjects related to the slope in the textbooks were…
Descriptors: Mathematics Education, Textbooks, College Mathematics, Mathematical Concepts
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Mesa, Vilma; Ma, Yue; Quiroz, Carlos; Gerami, Saba; Liakos, Yannis; Judson, Thomas; Chamberlain, Lynn – ZDM: Mathematics Education, 2021
The goal of this study is to identify the multiple ways in which instructors take advantage of a feature designed into university textbooks that seeks to invite students to get acquainted with the content prior to attending the class in which such content will be discussed. We present an analysis of teacher instrumentation of this feature, which…
Descriptors: College Faculty, Questioning Techniques, Textbook Content, Textbooks
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Berger, Margot – Educational Studies in Mathematics, 2004
The question of how a mathematics student at university-level makes sense of a new mathematical sign, presented to her or him in the form of a definition, is a fundamental problem in mathematics education. Using an analogy with Vygotsky's theory (1986, 1994) of how a child learns a new word, I argue that a learner uses a new mathematical sign both…
Descriptors: Mathematical Concepts, Calculus, Mathematics Education, College Students
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Roepke, Tena L.; Gallagher, Debra K. – Mathematics Teacher, 2015
Mathematics preservice teachers often complain vehemently about their required content-area reading courses. They ask such questions as, "Why do I have to worry about literacy when I'm going to be a mathematics teacher?" or "How will this ever help me in my mathematics classes?" or "When will I ever have time for…
Descriptors: Mathematics Teachers, Preservice Teachers, Content Area Reading, Literacy
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Sahin, Alpaslan; Cavlazoglu, Baki; Zeytuncu, Yunus E. – Educational Technology & Society, 2015
As online videos have become more easily available and more attractive to the new generation of students, and as new student-learning approaches tend to have more technology integration, the flipped classroom model has become very popular. The purpose of this study was to understand college students' views on flipped courses and investigate how…
Descriptors: Calculus, Mathematics Instruction, College Mathematics, Video Technology
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Young, Andrea – PRIMUS, 2015
This article discusses a cost-effective approach to flipping the calculus classroom. In particular, the emphasis is on low-cost choices, both monetarily and with regards to faculty time, that make the daunting task of flipping a course manageable for a single instructor. Student feedback and overall impressions are also presented.
Descriptors: College Mathematics, Mathematics Instruction, Blended Learning, Educational Technology
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