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Selby, Christina – PRIMUS, 2016

Linear algebra students are typically introduced to the problem of how to convert from one coordinate system to another in a very abstract way. Often, two bases for a given vector space are provided, and students are taught how to determine a transition matrix to be used for changing coordinates. If students are successful in memorizing this…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Algebra

Latulippe, Joe; Latulippe, Christine – PRIMUS, 2014

As an often recommended but under-utilized pedagogical strategy, writing in mathematics has many benefits for students. However, creating and grading worthwhile writing projects can be more time-consuming than utilizing more traditional forms of assessment. This paper provides a concrete example of a writing project prompt, questions, directions,…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Content Area Writing

Kalajdzievska, Darja – PRIMUS, 2014

In many post-secondary, introductory mathematics courses failure and withdrawal rates are reaching as high as 50% and average GPA is steadily decreasing. This is a problem that has been witnessed across the globe. With widespread reforms taking place in K-12 mathematics education, many innovative teaching strategies have been created, implemented,…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Student Motivation

Peer reviewed

Mower, Pat – Primus, 1996

Presents the findings of a study on the learning experiences of undergraduates enrolled in a writing-intensive algebra course. The study revealed that writing activities are successful in terms of facilitating student comprehension of mathematical content. The use of words allows student writers to gain ownership of the algebraic content. (DDR)

Descriptors: Algebra, Educational Research, Higher Education, Instructional Innovation

Peer reviewed

Haws, LaDawn – Primus, 1992

Hypermedia provides an easy-to-use option for adding visualization, via the computer, to the classroom. Some examples of this medium are presented, including applications in basic linear algebra and calculus, and a tutorial in electromagnetism. (Author)

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Enrichment Activities

Peer reviewed

Zarzycki, Piotr – Primus, 1992

Presents eight techniques for teaching undergraduate mathematics whose main aims are (1) learning how to pose problems in an easier and more attractive form; (2) fostering usage of mathematical symbolism; and (3) checking the level of comprehension of the principal ideas. Examples illustrate each technique. (Author/MDH)

Descriptors: Competition, Elementary Secondary Education, Enrichment Activities, Higher Education

Peer reviewed

Chinn, Phyllis; And Others – Primus, 1992

Presents examples of questions and answers arising from a hands-on and exploratory approach to discrete mathematics using cuisenaire rods. Combinatorial questions about trains formed of cuisenaire rods provide the setting for discovering numerical patterns by experimentation and organizing the results using induction and successive differences.…

Descriptors: Discovery Learning, Elementary School Teachers, Higher Education, Instructional Materials

Peer reviewed

Rosenthal, Bill – Primus, 1992

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Descriptors: Calculus, College Mathematics, Discovery Learning, Experiential Learning

Peer reviewed

Gura, Kay – Primus, 1992

Presents one model for a liberal arts mathematics course that combines probability and calculus. Describes activities utilized in the course to heighten students' interest and encourage student involvement. Activities include use of visualization, take-home tests, group problem solving, research papers, and computer usage with DERIVE computer…

Descriptors: Calculus, College Mathematics, Computer Assisted Instruction, Cooperative Learning

Peer reviewed

de Alwis, Tilak – Primus, 1992

Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

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

Peer reviewed

Reiter, Clifford A. – Primus, 1992

Computational environments that provide integrated numeric, symbolic, and graphical capabilities provide new opportunities for laboratories in Numerical Analysis. Hermite interpolation is one topic that can benefit from such an environment. Describes a laboratory session using Mathematica that allows students to actively experience Hermite…

Descriptors: College Mathematics, Computer Assisted Instruction, Discovery Learning, Estimation (Mathematics)

Peer reviewed

Francis, Richard L. – Primus, 1992

Examines infinite sets and cardinality classifications of empty, finite but not empty, and infinite through discussions of numbers that fall into particular categories. Categories discussed include perfect numbers, Mersenne primes, pseudoprimes, and transcendental numbers. Discusses the Null Or Infinite Set Effect (NOISE) and infinitude resulting…

Descriptors: College Mathematics, Higher Education, Learning Activities, Mathematical Concepts

Peer reviewed

King, Daniel L. – Primus, 2001

Discusses experiences teaching mathematics courses in a lecture-free, discussion-based seminar format at all levels of the traditional undergraduate mathematics curriculum. Presents methods for motivating, instructing, and supporting student efforts toward independent reading of mathematical text. Provides a non-scientific assessment of the…

Descriptors: Calculus, Course Descriptions, Higher Education, Mathematics Education

Peer reviewed

Mayfield, Betty – Primus, 2001

Describes the senior seminar in mathematics at Hood College which is a course in the history of mathematics. It is a student-led seminar with students gaining practice in oral presentation, preparing visual aids, and planning a class. (Author/MM)

Descriptors: Course Descriptions, Higher Education, Mathematics History, Mathematics Instruction

Peer reviewed

Lutzer, Carl V. – Primus, 2001

Describes an activity designed to help students develop a good foundation from the beginning of the transition from multivariate calculus to linear algebra. (MM)

Descriptors: Calculus, Higher Education, Learning Activities, Mathematics Education

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