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Thompson, Thomas M.; Wiggins, Kenneth L. – 1988

There has been much recent discussion concerning the content of the standard calculus course for students majoring in mathematics and the sciences. Some of this discussion has focused on the available textbooks. One weakness noted in some of these books involves the definitions of limit and continuity for functions of several variables. A…

Descriptors: Calculus, College Mathematics, Functions (Mathematics), Higher Education

Feser, Jason; Vasaly, Helen; Herrera, Jose – CBE - Life Sciences Education, 2013

In this paper, the authors describe how two institutions are helping their undergraduate biology students build quantitative competencies. Incorporation of quantitative skills and reasoning in biology are framed through a discussion of two cases that both concern introductory biology courses, but differ in the complexity of the mathematics and the…

Descriptors: Biology, Data Analysis, Mathematical Concepts, Skill Development

Kolar-Begovic, Zdenka, Ed.; Kolar-Šuper, Ružica, Ed.; Jukic Matic, Ljerka, Ed. – Online Submission, 2017

The papers in the monograph address different topics related to mathematics teaching and learning processes which are of great interest to both students and prospective teachers. Some papers open new research questions, some show examples of good practice and others provide more information about earlier findings. The monograph consists of six…

Descriptors: Mathematics Education, Mathematics Instruction, Educational Research, College Students

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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Althoen, S. C.; Weidner, J. F. – College Mathematics Journal, 1985

Standard calculus textbooks often include a related rates problem involving light cast onto a straight line by a revolving light source. Mathematical aspects to these problems (both in the solution and in the method by which that solution is obtained) are examined. (JN)

Descriptors: Calculus, College Mathematics, Higher Education, Light

Herriott, Scott R.; Dunbar, Steven R. – PRIMUS, 2009

The common understanding within the mathematics community is that the role of the college algebra course is to prepare students for calculus. Though exceptions are emerging, the curriculum of most college algebra courses and the content of most textbooks on the market both reflect that assumption. This article calls that assumption into question…

Descriptors: Majors (Students), Textbooks, Biological Sciences, Sciences

Adams, Margaret Smolinka – ProQuest LLC, 2013

This case study investigated students' conceptual knowledge of limits in calculus by implementing semi-structured interviews. The constructivist learning principles of Piaget and Inhelder as well as theories of understanding by Skemp guided the study. In Phase I, a pilot study was conducted with 15 students from a Calculus III class. By using…

Descriptors: Case Studies, Knowledge Level, Mathematical Concepts, Calculus

Unal, Hasan – Mathematics Teaching Incorporating Micromath, 2008

The importance of visualisation and multiple representations in mathematics has been stressed, especially in a context of problem solving. Hanna and Sidoli comment that "Diagrams and other visual representations have long been welcomed as heuristic accompaniments to proof, where they not only facilitate the understanding of theorems and their…

Descriptors: Mathematical Formulas, Calculus, Mathematics Instruction, Teaching Methods

Shepherd, Mary D.; Selden, Annie; Selden, John – Online Submission, 2009

This exploratory study examined the experiences and difficulties certain first-year university students displayed in reading new passages from their mathematics textbooks. We interviewed eleven precalculus and calculus students who were considered to be good at mathematics, as indicated by high ACT mathematics scores. These students were also …

Descriptors: Reading Comprehension, Textbooks, Reading Strategies, Metacognition

Raff, Lionel M. – Journal of Chemical Education, 2014

The fundamental criteria for chemical reactions to be spontaneous in a given direction are generally incorrectly stated as ?G < 0 or ?A < 0 in most introductory chemistry textbooks and even in some more advanced texts. Similarly, the criteria for equilibrium are also misstated as being ?G = 0 or ?A = 0. Following a brief review of the…

Descriptors: Chemistry, Scientific Concepts, Equations (Mathematics), Thermodynamics

Taani, Osama – Science & Education, 2014

In this paper, I discuss one of the most distinguishing features of Jamshid al-Kashi's pedagogy from his "Key to Arithmetic", a well-known Arabic mathematics textbook from the fifteenth century. This feature is the multiple paths that he includes to find a desired result. In the first section light is shed on al-Kashi's life…

Descriptors: Mathematics, Mathematics Instruction, Textbooks, Astronomy

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

Phy, Lyn – Mathematics Teacher, 2008

This paper discusses uses of technology to facilitate mathematical discourse concerning women in mathematics. Such a topic can be introduced in various traditional courses such as algebra, geometry, trigonometry, probability and statistics, or calculus, but it is not included in traditional textbooks. Through the ideas presented here, you can…

Descriptors: Females, Mathematics, Professional Personnel, Discussion (Teaching Technique)

Katz, Brian P.; Thoren, Elizabeth – PRIMUS, 2014

We have used wiki technology to support large-scale, collaborative writing projects in which the students build reference texts (called WikiTextbooks). The goal of this paper is to prepare readers to adapt this idea for their own courses. We give examples of the implementation of WikiTextbooks in a variety of courses, including lecture and…

Descriptors: Undergraduate Study, College Mathematics, Textbooks, Electronic Publishing

Newman, Richard; van der Ventel, Brandon; Hanekom, Crischelle – Physics Education, 2017

Probing university students' understanding of direct-current (DC) resistive circuits is still a field of active physics education research. We report here on a study we conducted of this understanding, where the cohort consisted of students in a large-enrollment first-year physics module. This is a non-calculus based physics module for students in…

Descriptors: Science Instruction, College Science, College Students, Scientific Concepts