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Peer reviewed

Ludlow, Larry H.; Alvarez-Salvat, Rose – Popular Measurement, 2000

Describes the life and work of Gustav Fechner, whose drive to model the world left a heritage of measurement used daily. His efforts to link body and mind, or stimulus and sensation, led to his proposal that a geometric series in the intensity of a stimulus might correspond to an arithmetic series in the sensation. (SLD)

Descriptors: Measurement Techniques, Psychometrics, Stimuli

Davis, Craig M. – Journal of Chemical Education, 2011

In this computational exercise, the [superscript 119]Sn and [superscript 207]Pb NMR spectra (data provided to the students) of the octahedral complexes [SnCl[subscript n]F[subscript 6-n]][superscript 2-] and [PbCl[subscript n]F[subscript 6-n]][superscript 2-], respectively, are examined. The pairwise-additivity model is applied to the NMR spectra…

Descriptors: Chemistry, Geometric Concepts, Science Instruction, Computation

Roberts, Sally K.; Tayeh, Carla – Mathematics Teaching in the Middle School, 2011

Every semester, the authors encounter students who are attracted to the visual and spatial aspects of geometry. They have other students who consider geometry to be challenging for the very same reasons. Students are confounded not only by the fact that geometry relies on visual interpretations but also because it has a language of its own and…

Descriptors: Mathematics Instruction, Geometric Concepts, Geometry, Algebra

Ovchinnikov, Sergei – College Mathematics Journal, 2011

Finding the sum of a series in the form of a closed expression has always been a challenging problem in analysis. The paper presents an elementary method for summation of series with terms generated by functions satisfying subtraction identities.

Descriptors: Mathematics Instruction, College Mathematics, Subtraction, Arithmetic

Peer reviewed

Maor, Eli – Mathematics Teacher, 1980

Examples given for uses for the calculator exchange key include: generation of the Fibonacci sequence and geometric series, determination of square roots, and the chief use of the function, which is to interchange the numerator and denominator of a fraction. (MK)

Descriptors: Calculators, Computation, Educational Media, Educational Technology

Peer reviewed

Woodward, Ernest; Woodward, Marilyn – Mathematics Teacher, 1994

Presents two methods of calculating the expected value for a participant on the television game show "The Wheel of Fortune." The first approach involves the use of basic expected-value principles. The second approach uses those principles in addition to infinite geometric series. (MDH)

Descriptors: Enrichment Activities, Mathematical Applications, Mathematical Concepts, Mathematical Enrichment

Peer reviewed

Mathematics Teacher, 1981

The following ideas are presented: plans for constructing a calculator bin rack that provides a place for a school to store and charge calculators; a lesson in geometry based on a news article about salt containers; and a very simple approach to the concept of infinite geometric series. (MP)

Descriptors: Calculators, Geometry, Mathematical Concepts, Mathematics Instruction

Peer reviewed

Troutner, Joanne – Journal of Computers in Mathematics and Science Teaching, 1988

Explains a unified approach to using the computer as a teaching tool for helping students discover concepts and principles involved in geometry. Describes the Geometric Supposer series which allows students to develop constructions and measure angles, areas, and circumferences. States that supplemental materials are also available. (RT)

Descriptors: Computer Uses in Education, Courseware, Discovery Learning, Experiential Learning

Peer reviewed

Jarrett, Joscelyn A. – Mathematics Teacher, 1982

Examples of some geometric illustrations of limits are presented. It is believed the limit concept is among the most important topics in mathematics, yet many students do not have good intuitive feelings for the concept, since it is often taught very abstractly. Geometric examples are suggested as meaningful tools. (MP)

Descriptors: Calculus, College Mathematics, Geometry, Higher Education

Schielack, Jane – National Council of Teachers of Mathematics, 2010

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

Descriptors: Mathematics Curriculum, Grade 8, Misconceptions, Mathematics Instruction

Bandurski, Marcin; Galkowski, Tadeusz – Journal of Deaf Studies and Deaf Education, 2004

The purpose of this article is to analyze the results of a study of the development of analogical reasoning in deaf children coming from two different linguistic environments (deaf children of deaf parents--sign language, deaf children of hearing parents--spoken language) and in hearing children, as well as to compare two groups of deaf children…

Descriptors: Logical Thinking, Cognitive Development, Deafness, Family Environment

Hidayah, Isti; Dwijanto; Istiandaru, Afit – International Journal of Instruction, 2018

Some mathematics concepts, especially geometry, have not been understood well by students. The current curriculum in Indonesia strongly recommends the use of manipulatives in mathematics learning. However, the presence of manipulatives only cannot guarantee the students could construct their knowledge of concepts. This research aims to find out…

Descriptors: Foreign Countries, Manipulative Materials, Questioning Techniques, Elementary School Mathematics

Peer reviewed

Showalter, Millard W. – Mathematics Teacher, 1994

Presents four investigations involving geometric sequences and series: folding a sheet of paper in half 8 times, stacking pieces of paper cut in half 50 times, snapping your fingers at intervals doubled in length for 1 year, and summing time intervals continuously cut in half. (MDH)

Descriptors: Investigations, Mathematical Applications, Mathematical Concepts, Mathematical Enrichment

Schaaf, William L., Ed. – 1967

This is one in a series of SMSG supplementary and enrichment pamphlets for high school students. The series makes available expository articles which appeared in a variety of mathematical periodicals. Topics covered include: (1) Euclidean constructions; (2) the geometry of the fixed compass; (3) certain topics related to constructions with…

Descriptors: Curriculum, Enrichment, Geometric Concepts, Geometry

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