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Showing 1 to 15 of 41 results Save | Export
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Dorner, Christian – International Journal of Mathematical Education in Science and Technology, 2021
This paper deals with a set of geometrical problems for mathematical problem-solving at different difficulty levels. All of these are presented as national flags and one has to investigate invariant area proportions when changing the locus of any corner of the flag. This dynamic element suggests the usage of dynamical geometry environments.…
Descriptors: Problem Sets, Geometry, Mathematics Instruction, Problem Solving
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Van Dyke, Frances; Malloy, Elizabeth J.; Stallings, Virginia – Canadian Journal of Science, Mathematics and Technology Education, 2014
This article discusses an activity designed to encourage writing to learn in mathematics. There were three stages of data collection. An assessment, requiring basic algebra only, was completed by 118 undergraduates from statistics and calculus courses. Students were given summaries of all participant responses, along with the correct answers.…
Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Activities, Content Area Writing
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Waits, Bert K.; Silver, Jerry L. – Two-Year College Mathematics Journal, 1973
Two approaches are discussed for calculating the work necessary to pump water from a conical or parabolic container. The direct method derived from the definition of work is easy to misuse, as illustrated by a student's incorrect solution. (JP)
Descriptors: Calculus, College Mathematics, Mathematics, Mathematics Education
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Schultz, James E.; Burger, William F. – College Mathematics Journal, 1984
Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)
Descriptors: College Mathematics, Higher Education, Mathematics, Mathematics Instruction
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Cohen, Donald – Mathematics and Computer Education, 1984
The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)
Descriptors: Algebra, College Mathematics, Graphs, Higher Education
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Norris, A. C. – International Journal of Mathematical Education in Science and Technology, 1980
Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)
Descriptors: Calculus, Chemistry, College Mathematics, Higher Education
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Morrel, Judith H. – PRIMUS, 2006
Over the past two decades, calculus reformers have called for the use of alternative pedagogical techniques to promote student learning. Some mathematics instructors have responded by developing a set of student projects intended to hone thinking skills and improve the mathematical writing skills of calculus students. Drawbacks to this strategy…
Descriptors: Student Projects, Problem Sets, Writing Skills, Calculus
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Kleiner, Israel – For the Learning of Mathematics, 1986
A one-semester course at the third-year level at York University is described. It tries to legitimize in students' eyes that it makes sense to talk about mathematics as well as do mathematics. Seven course themes are discussed, followed by nine problems used in the course. (MNS)
Descriptors: College Mathematics, Course Descriptions, Higher Education, History
Snover, Stephen L.; Spikell, Mark A. – 1979
Several examples are given of a variety of nonstandard problems, not ordinarily found in texts or courses, now accessible to students who have programmable calculators. These include: (1) finding limits; (2) evaluating infinite series; (3) calculating finite series; (4) computing variable length products; (5) solving equations; (6) searching for…
Descriptors: Calculators, Calculus, College Curriculum, College Mathematics
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Kuenzi, N. J.; Prielipp, Bob, Ed. – School Science and Mathematics, 1976
Six mathematics problems are posed; details are given of the solutions for six other problems. (DT)
Descriptors: College Mathematics, Higher Education, Mathematics, Number Concepts
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Groetsch, C. W. – PRIMUS, 2005
An aspect of the long history of the struggle to quantify motion is briefly traced through three extended problem sets suitable for use in first year calculus courses. The sketch culminates with an application of simple mathematics to one of the most current problems in the theory of the universe. (Contains 2 figures.)
Descriptors: Problem Sets, Calculus, Motion, College Mathematics
Brown, Stephen I.; Walter, Marion I. – 1983
The focus of this book is on a rationale and a set of strategies for problem generation in mathematics. Six chapters attempt to involve readers in the process of posing problems and in understanding why that process is important. Chapter 1 discusses two problem posing perspectives, while chapter 2 looks at the first phase of problem posing. The…
Descriptors: College Mathematics, Course Descriptions, Higher Education, Induction
Bull, Elizabeth Kay – 1984
The goal of this study was to find a way to quantify three criteria of representational quality, described by Greeno, so that it would be possible to examine statistically the relationship between representational quality and other variables related to problem solution. The sample consisted of 18 college students, 84 percent of whom had…
Descriptors: Algebra, Cognitive Processes, College Mathematics, Educational Research
Truckson, Erika – MATYC Journal, 1978
An elementary knowledge of geometry is shown to be helpful in problem solving, especially in that the shortest distance between two points is a straight line. (MN)
Descriptors: College Mathematics, Geometric Concepts, Geometry, Higher Education
Lucas, John F. – MATYC Journal, 1978
The author organizes some of the information known about the problem of dividing space by five planes in general position along with its extensions, and consolidates it to highlight some interesting patterns in both methods of solving analogous problems and their results. (MN)
Descriptors: College Mathematics, Geometry, Higher Education, Induction
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