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Carducci, Olivia M. – PRIMUS, 2008

Building block toys can be used to illustrate various concepts connected with functions including graphs and rates of change of linear and exponential functions, piecewise functions, and composition of functions. Five brief activities suitable for a pre-calculus course are described.

Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Mathematics Skills

Winkel, Brian – International Journal of Mathematical Education in Science and Technology, 2008

This note discusses the introduction of Fourier series as an immediate application of optimization of a function of more than one variable. Specifically, it is shown how the study of Fourier series can be motivated to enrich a multivariable calculus class. This is done through discovery learning and use of technology wherein students build the…

Descriptors: Discovery Learning, Calculus, Mathematics Instruction, Educational Technology

Lunk, Brandon; Beichner, Robert – Physics Teacher, 2011

A compass is an excellent classroom tool for the exploration of magnetic fields. Any student can tell you that a compass is used to determine which direction is north, but when paired with some basic trigonometry, the compass can be used to actually measure the strength of the magnetic field due to a nearby magnet or current-carrying wire. In this…

Descriptors: Physics, Calculus, Prediction, Science Instruction

O'Shea, Brian; Terry, Laura; Benenson, Walter – CBE - Life Sciences Education, 2013

We present outcomes from curricular changes made to an introductory calculus-based physics course whose audience is primarily life sciences majors, the majority of whom plan to pursue postbaccalaureate studies in medical and scientific fields. During the 2011-2012 academic year, we implemented a Physics of the Life Sciences curriculum centered on…

Descriptors: Physics, Majors (Students), Active Learning, Teaching Methods

González-Martín, Alejandro S. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014

Our research focuses on the learning of series as a consequence of institutional choices for their teaching. Our analyses of textbooks and teaching practices led us to conjecture the existence of some implicit contract rules in the teaching of series: in particular, the teaching of series is made almost exclusively in the algebraic setting, with…

Descriptors: Numbers, Visual Aids, Mathematics Instruction, Calculus

Bradford, Russell; Davenport, James H.; Sangwin, Chris – International Journal for Technology in Mathematics Education, 2010

A perennial problem in computer-aided assessment is that "a right answer", pedagogically speaking, is not the same thing as "a mathematically correct expression", as verified by a computer algebra system, or indeed other techniques such as random evaluation. Paper I in this series considered the difference in cases where there was "the right…

Descriptors: Calculus, Algebra, Computer Uses in Education, Mathematics Instruction

Babineau, Kate – Cowen Institute, 2018

Access to and persistence through higher education can significantly impact occupational stability and mental wellness in the United States (U.S.), with higher levels of education contributing to increased employability and wellness. Empirical research suggests that college attendance improves verbal communication, moral reasoning, and critical…

Descriptors: Higher Education, Academic Persistence, College Students, First Generation College Students

What Works Clearinghouse, 2012

"Project SEED" is a supplemental mathematics program for low-achieving students in grades 3 through 8 and is intended to prepare students to be successful in high school and college math. Based on the Socratic method, instruction is delivered through a series of questions to the class. In addition to individual responses, the instructor…

Descriptors: Evidence, Feedback (Response), Elementary School Students, Quasiexperimental Design

Kirillova, Evgenia; Spindler, Karlheinz – International Journal of Mathematical Education in Science and Technology, 2008

In this article we derive all salient properties of analytic functions, including the analytic version of the inverse function theorem, using only the most elementary convergence properties of series. Not even the notion of differentiability is required to do so. Instead, analytical arguments are replaced by combinatorial arguments exhibiting…

Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Computation

McCartney, Mark – International Journal of Mathematical Education in Science and Technology, 2013

A well-known mathematical puzzle regarding a worm crawling along an elastic rope is considered. The resulting generalizations provide examples for use in a teaching context including applications of series summation, the use of the integrating factor for the solution of differential equations, and the evaluation of definite integrals. A number of…

Descriptors: Mathematics, Puzzles, Mathematics Instruction, Calculus

Judd, Wallace – Mathematics Teaching in the Middle School, 2007

This reprinted article from the November 1976 issue of "Arithmetic Teacher" describes a series of calculator games suitable for all levels from kindergarten through calculus.

Descriptors: Educational Games, Calculators, Mathematics Instruction, Teaching Methods

Diedrichs, Danilo R. – PRIMUS, 2019

Harvesting models based on ordinary differential equations are commonly used in the fishery industry and wildlife management to model the evolution of a population depleted by harvest mortality. We present a project consisting of a series of scenarios based on fishery harvesting models to teach the application of theoretical concepts learned in a…

Descriptors: Mathematical Models, Equations (Mathematics), Calculus, Industry

Kifowit, Steven J.; Stamps, Terra A. – AMATYC Review, 2006

The harmonic series is one of the most celebrated infinite series of mathematics. A quick glance at a variety of modern calculus textbooks reveals that there are two very popular proofs of the divergence of the harmonic series. In this article, the authors survey these popular proofs along with many other proofs that are equally simple and…

Descriptors: Textbooks, Calculus, Mathematics Instruction, Validity

Shore, Felice S.; Pascal, Matthew – Mathematics Teacher, 2008

This article describes several distinct approaches taken by preservice elementary teachers to solving a classic rate problem. Their approaches incorporate a variety of mathematical concepts, ranging from proportions to infinite series, and illustrate the power of all five NCTM Process Standards. (Contains 8 figures.)

Descriptors: Preservice Teachers, Mathematical Concepts, Calculus, Mathematics Instruction

Nabb, Keith A. – Mathematics Teacher, 2010

As a college mathematics teacher for six years, the author has learned his share of pedagogical techniques through research, practice, and reflection. He adopts new theories into classroom practice, differentiates instruction when necessary, and remains open to the diversity his students bring with respect to academic readiness, cultural norms,…

Descriptors: College Mathematics, Student Interests, Mathematics Teachers, Calculus