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Journal Articles: 63 results
The Penny Experiment Revisited: An Illustration of Significant Figures, Accuracy, Precision, and Data Analysis  Joseph Bularzik
In this general chemistry laboratory the densities of pennies are measured by weighing them and using two different methods to measure their volumes. The average and standard deviation calculated for the resulting densities demonstrate that one measurement method is more accurate while the other is more precise.
Bularzik, Joseph. J. Chem. Educ. 2007, 84, 1456.
Chemometrics |
Nomenclature / Units / Symbols |
Nonmajor Courses |
Physical Properties
Using a Graphing Calculator To Determine a First-Order Rate Constant: Author Reply  José E. Cortés-Figueroa
When technology is used to help with mathematical calculations, the emphasis must be on the concepts being learned rather than simply the procedures. In our approach we are attempting to help students learn more about the concept and also to attain data analysis skills they will need in the future.
Cortés-Figueroa, José E. J. Chem. Educ. 2004, 81, 485.
Kinetics |
Chemometrics
Using a Graphing Calculator To Determine a First-Order Rate Constant  Todd P. Silverstein
The authors use the graphing calculator to estimate the infinity reading from linearized kinetics data, and then they use linearized semi-log data to determine the first-order rate constant.
Silverstein, Todd P. J. Chem. Educ. 2004, 81, 485.
Kinetics |
Chemometrics
Precision in Microscale Titration  Mono M. Singh, Cynthia B. McGowan, and Zvi Szafran
Comparing the precision of a 2-mL graduated pipet and 50-mL graduated buret in performing a microscale titration.
Singh, Mono M.; McGowan, Cynthia B.; Szafran, Zvi. J. Chem. Educ. 2002, 79, 941.
Laboratory Equipment / Apparatus |
Chemometrics |
Microscale Lab |
Titration / Volumetric Analysis
Precision in Microscale Titration  Julian L. Roberts Jr.
Comparing the precision of a 2-mL graduated pipet and 50-mL graduated buret in performing a microscale titration.
Roberts, Julian L., Jr. J. Chem. Educ. 2002, 79, 941.
Laboratory Equipment / Apparatus |
Chemometrics |
Microscale Lab |
Titration / Volumetric Analysis
Precision in Microscale Titration  Julian L. Roberts Jr.
Comparing the precision of a 2-mL graduated pipet and 50-mL graduated buret in performing a microscale titration.
Roberts, Julian L., Jr. J. Chem. Educ. 2002, 79, 941.
Laboratory Equipment / Apparatus |
Chemometrics |
Microscale Lab |
Titration / Volumetric Analysis
How Can an Instructor Best Introduce the Topic of Significant Figures to Students Unfamiliar with the Concept?  Richard A. Pacer
The focus of this paper is how best to introduce the concept of significant figures so that students find it meaningful before a stage is reached at which they become turned off. The approach described begins with measurements students are already familiar with from their life experiences and involves the students as active learners.
Pacer, Richard A. J. Chem. Educ. 2000, 77, 1435.
Learning Theories |
Nonmajor Courses |
Chemometrics
Letters  
Extending the rule for rounding significant figures of products and quotients.
Hawkes, Stephen J. J. Chem. Educ. 1999, 76, 897.
Nomenclature / Units / Symbols
There Seems To Be Uncertainty about the Use of Significant Figures in Reporting Uncertainties of Results  Julio F. Caballero and Delphia F. Harris
A cursory review of two journals indicates that uncertainties in experimental results are not consistently reported in the literature with the correct number of significant figures. The problem seems more frequent in computer generated results in both chemical education and research articles. Examples of published values with uncertainty inappropriately reported are included along with the appropriate rounding.
Caballero, Julio F.; Harris, Delphia F. J. Chem. Educ. 1998, 75, 996.
Laboratory Equipment / Apparatus |
Learning Theories |
Chemometrics
Precision and Accuracy in Measurements: A Tale of Four Graduated Cylinders  Richard S. Treptow
The concepts of precision and accuracy help students understand that uncertainty accompanies even our best scientific measurements. A model experiment can be used to distinguish the two terms. The experiment uses four graduated cylinders which give measurements of different accuracy and precision. Such terms as mean, range, standard deviation, error, and true value are defined through an illustration.
Treptow, Richard S. J. Chem. Educ. 1998, 75, 992.
Quantitative Analysis |
Chemometrics
Precision and Accuracy (the authors reply, 2)  Midden, W. Robert
Rounding-off rules and significant figures.
Midden, W. Robert J. Chem. Educ. 1998, 75, 971.
Chemometrics
Precision and Accuracy (the authors reply, 1)  Guare, Charles J.
Rounding-off rules and significant figures.
Guare, Charles J. J. Chem. Educ. 1998, 75, 971.
Chemometrics
Precision and Accuracy (3)  Rustad, Douglas
Rounding-off rules and significant figures.
Rustad, Douglas J. Chem. Educ. 1998, 75, 970.
Chemometrics
Precision and Accuracy (1)  Sykes, Robert M.
Standard procedures for determining and maintaining significant figures in calculations.
Sykes, Robert M. J. Chem. Educ. 1998, 75, 970.
Chemometrics
Rounding Numbers: Why the "New System" Doesn't Work  W. Robert Midden
This paper explains a correction to the rounding rule previously published in this Journal. The earlier article reported that the best way to round numbers is to always round up when the first digit dropped is 5. However, this will lead to accumulation of error when errors are averaged.
Midden, W. Robert. J. Chem. Educ. 1997, 74, 405.
Chemometrics
Measuring with a Purpose: Involving Students in the Learning Process  Metz, Patricia A.; Pribyl, Jeffrey R.
Constructivist learning activities for helping students to understand measurement, significant figures, uncertainty, scientific notation, and unit conversions.
Metz, Patricia A.; Pribyl, Jeffrey R. J. Chem. Educ. 1995, 72, 130.
Nomenclature / Units / Symbols |
Chemometrics |
Constructivism
Basic Principles of Scale Reading  Peckham, Gavin D.
Steps and basic principles of reading the scales of laboratory instruments.
Peckham, Gavin D. J. Chem. Educ. 1994, 71, 423.
Instrumental Methods |
Laboratory Equipment / Apparatus |
Nomenclature / Units / Symbols
A Joke Based on Significant Figures  Ruekberg, Ben
Joke to introduce significant figures.
Ruekberg, Ben J. Chem. Educ. 1994, 71, 306.
Chemometrics
Solving equilibria problems with a graphing calculator: A robust method, free of algebra and calculus   Ruch, David K.; Chasteen, T. G.
The method of successive approximations is frequently introduced in freshman chemistry as a means for solving equilibrium equations. However, this often requires an understanding of calculus that is problematic for introductory chemistry students. An alternative method to solving such equations is to use graphic calculators to solve problems graphically.
Ruch, David K.; Chasteen, T. G. J. Chem. Educ. 1993, 70, A184.
Equilibrium |
Chemometrics
AnswerSheets  Cornelius, Richard
Review of a spreadsheet-based program that has modules on significant figures, VSEPR structures, stoichiometry, and unit conversions.
Cornelius, Richard J. Chem. Educ. 1993, 70, 460.
VSEPR Theory |
Stoichiometry |
Chemometrics
More on the Question of Significant Figures  Clase, Howard J.
Because so many students have a hard time understanding what significant figures are all about, this author developed a method using "?" to substitute for insignificant zeros. This helps many students finally grasp this convention.
Clase, Howard J. J. Chem. Educ. 1993, 70, 133.
Chemometrics
Imprecise numbers and incautious safety procedure mar experiment.  Nelson, Robert N.
Problems with significant figures and safety concerns regarding two published experiments.
Nelson, Robert N. J. Chem. Educ. 1992, 69, 688.
Reactions |
Nomenclature / Units / Symbols
Significant figures: A classroom demonstration  Kirksey, H. Graden.
Demonstration to show students the function and importance of significant figures in a measurement.
Kirksey, H. Graden. J. Chem. Educ. 1992, 69, 497.
Nomenclature / Units / Symbols
A simple but effective demonstration for illustrating significant figure rules when making measurements and doing calculations  Zipp, Arden P.
Students can be surprised and confused when different arithmetical operations are performed on experimental data, because the rules change when changing from addition to subtraction to multiplication or division. The following is a simple way to illustrate several aspects of these rules.
Zipp, Arden P. J. Chem. Educ. 1992, 69, 291.
Chemometrics
The use of "marathon" problems as effective vehicles for the presentation of general chemistry lectures  Burness, James H.
A marathon problem is a long, comprehensive, and difficult problem that ties together many of the topics in a chapter and that is solved together by the instructor and students. Sample problems are included and advantages and disadvantages of this approach are discussed.
Burness, James H. J. Chem. Educ. 1991, 68, 919.
Chemometrics
When figures signify nothing  Ahmad, Jamil
Significant figures in the "real world" set poor standards and confusing examples for chemistry students.
Ahmad, Jamil J. Chem. Educ. 1991, 68, 469.
Chemometrics
Solving quadratic equations to the correct number of significant figures  Thomas, Rudolf
Presenting an application of the successive approximations method for solving quadratic or higher order expressions.
Thomas, Rudolf J. Chem. Educ. 1991, 68, 409.
Equilibrium |
Chemometrics
Chemical equilibrium: III. A few math tricks   Gordus, Adon A.
The third article in a series on chemical equilibrium that considers a few math "tricks" useful in equilibrium calculations and approximations.
Gordus, Adon A. J. Chem. Educ. 1991, 68, 291.
Acids / Bases |
Equilibrium |
Chemometrics |
Titration / Volumetric Analysis
Accuracy of measurements and the U.S. Census  Gorin, George
Some aspects of taking the Census can help students to understand the problem of measurement error and the use of significant figures.
Gorin, George J. Chem. Educ. 1990, 67, 936.
Chemometrics
Solving quadratic equations  Brown, R. J. C.
A better technique than the quadratic equation for chemical equilibria is offered here.
Brown, R. J. C. J. Chem. Educ. 1990, 67, 409.
Chemometrics |
Equilibrium
Atlantic-Pacific sig figs  Stone, Helen M.
Examples of applications of significant figures in calculations.
Stone, Helen M. J. Chem. Educ. 1989, 66, 829.
Nomenclature / Units / Symbols |
Chemometrics
Graphical analysis III (Vernier, David L.)  Carpenter, Jeanette; Bowers, Caroline H.
Two reviews of a complete graphing tool suitable for high school and college applications with a wide range of operations varying in complexity.
Carpenter, Jeanette; Bowers, Caroline H. J. Chem. Educ. 1988, 65, A269.
Chemometrics
Chemistry according to ROF (Fee, Richard)  Radcliffe, George; Mackenzie, Norma N.
Two reviews on a software package that consists of 68 programs on 17 disks plus an administrative disk geared toward acquainting students with fundamental chemistry content. For instance, acids and bases, significant figures, electron configuration, chemical structures, bonding, phases, and more.
Radcliffe, George; Mackenzie, Norma N. J. Chem. Educ. 1988, 65, A239.
Chemometrics |
Atomic Properties / Structure |
Equilibrium |
Periodicity / Periodic Table |
Periodicity / Periodic Table |
Stoichiometry |
Physical Properties |
Acids / Bases |
Covalent Bonding
Teaching students to use algorithms for solving generic and harder problems in general chemistry  Kean, Elizabeth; Middlecamp, Catherine Hurt; Scott, D. L.
This paper describes teaching strategies that help students improve their problem-solving skills.
Kean, Elizabeth; Middlecamp, Catherine Hurt; Scott, D. L. J. Chem. Educ. 1988, 65, 987.
Stoichiometry |
Chemometrics
Solving limiting reagent problems (the author replies)  Kalantar, A. H.
Thanks for clarification and suggestion.
Kalantar, A. H. J. Chem. Educ. 1987, 64, 472.
Stoichiometry |
Chemometrics
Solving limiting reagent problems  Skovlin, Dean O.
Uncertainty in the meaning of the term X.
Skovlin, Dean O. J. Chem. Educ. 1987, 64, 472.
Stoichiometry |
Chemometrics
The length of a pestle: A class exercise in measurement and statistical analysis  O'Reilly, James E.
Too many students get through chemistry without acquiring a basic understanding and appreciation of the concepts of measurement science. The purpose of this report is to outline an extremely simple class exercise as a concrete paradigm of the entire process of making chemical measurements and treating data.
O'Reilly, James E. J. Chem. Educ. 1986, 63, 894.
Chemometrics
Calculation of Madelung constants in the first year chemistry course  Elert, Mark; Koubek, Edward
76. Bits and pieces, 31. A computer program aids in understanding the nature of the Madelung constants.
Elert, Mark; Koubek, Edward J. Chem. Educ. 1986, 63, 840.
Crystals / Crystallography |
Chemometrics
Teaching significant figures using a learning cycle  Guymon, E. Park; James, Helen J.; Saeger, Spencer L.
Can we teach significant figures in a way that will be better retained by our students? These authors propose a solution.
Guymon, E. Park; James, Helen J.; Saeger, Spencer L. J. Chem. Educ. 1986, 63, 786.
Learning Theories |
Chemometrics
Propagation of significant figures  Schwartz, Lowell M.
The rules of thumb for propagating significant figures through arithmetic calculations frequently yield misleading results.
Schwartz, Lowell M. J. Chem. Educ. 1985, 62, 693.
Chemometrics
Graphical Analysis, Review II (Dice, David R.)  Sievers, Dennis
A computerized program that generates graphs of empirical data.
Sievers, Dennis J. Chem. Educ. 1984, 61, A324.
Chemometrics
The density of solids  Burgess, Dale
Using density measurements as an opportunity to discuss experimental procedures, error, and significant figures.
Burgess, Dale J. Chem. Educ. 1984, 61, 242.
Chemometrics |
Physical Properties
Basic mathematics for beginning chemistry (Goldish, Dorthoy M.)  Ellison, Herbert R.

Ellison, Herbert R. J. Chem. Educ. 1981, 58, A65.
Chemometrics |
Mathematics / Symbolic Mathematics |
Enrichment / Review Materials
Empirical formulas - A ratio problem  Knox, Kerro
A problem involving an analogy between ratios of boys to girls given their average weights and percentage composition of the class by weight.
Knox, Kerro J. Chem. Educ. 1980, 57, 879.
Chemometrics |
Molecular Properties / Structure
Significant figures: Removing the zero mystique  Treptow, Richard S.
Zeros are significant if they appear before a number takes on size or as stand-ins for unknown digits.
Treptow, Richard S. J. Chem. Educ. 1980, 57, 646.
Chemometrics
Whatever became of significant figures? The trend toward numerical illiteracy  Anderlik, Barbara
How does one persuade students, when working with physical measurements, to part with excess digits and become numerically literate.
Anderlik, Barbara J. Chem. Educ. 1980, 57, 591.
Chemometrics
Calculators, slide rules, and significant figures  McCullough, Thomas, CSC
Using a slide rule to help students understand the concept of significant figures before using a calculator.
McCullough, Thomas, CSC J. Chem. Educ. 1979, 56, 238.
Chemometrics
A pre-general chemistry course for the underprepared student  Krannich, Larry K.; Patick, David; Pevear, Jesse
Outline and evaluation of a course in chemical problem solving.
Krannich, Larry K.; Patick, David; Pevear, Jesse J. Chem. Educ. 1977, 54, 730.
Enrichment / Review Materials |
Chemometrics
On significant figures  MacCarthy, Patrick
Illustrating the decrease in uncertainty that accompanies an increase in significant figures.
MacCarthy, Patrick J. Chem. Educ. 1977, 54, 578.
Chemometrics
Calculators and significant figures  Satek, Larry C.
A demonstration on the topic of significant figures and random errors.
Satek, Larry C. J. Chem. Educ. 1977, 54, 177.
Chemometrics
Significant digits in logarithm-antilogarithm interconversions  Jones, Donald E.
Most textbooks are in error in the proper use of significant digits when interconverting logarithms and antilogarithms.
Jones, Donald E. J. Chem. Educ. 1972, 49, 753.
Nomenclature / Units / Symbols |
Chemometrics
Chemical exponentialism for beginners  Larson, G. Olof
Presents a method for introducing and reviewing exponential mathematical operations.
Larson, G. Olof J. Chem. Educ. 1970, 47, 693.
Chemometrics
Chemical queries. Especially for introductory chemistry teachers  Young, J. A.; Malik, J. G.; Bolte, John
(1) Is the mole a number or a weight? (2) Is there an easy way to locate a compound by volume and page in Beilstein? (3) What are the stages evident in a gas discharge tube as the pressure of the gas and the voltage are changed? - answer by Bolte
Young, J. A.; Malik, J. G.; Bolte, John J. Chem. Educ. 1968, 45, 718.
Stoichiometry |
Nomenclature / Units / Symbols |
Gases
Significant figures and correlation of parameters  DeTar, DeLos F.
Examines the two quite different meanings for the term significant figures as applied to the parameters of an equation.
DeTar, DeLos F. J. Chem. Educ. 1967, 44, 759.
Nomenclature / Units / Symbols
The significance of significant figures  Pinkerton, Richard C.; Gleit, Chester E.
This paper is an attempt to clarify some of our ideas about numerical data, measurements, mathematical operations, and significant figures.
Pinkerton, Richard C.; Gleit, Chester E. J. Chem. Educ. 1967, 44, 232.
Nomenclature / Units / Symbols |
Chemometrics
Statistical analysis of data in the general chemistry laboratory  Chapin, Earl C.; Burns, Richard F.
Students are asked to analyze data collected with respect to determinations of Dumas molecular weight, equivalent weight of a metal, equivalent weight of an acid, and molecular weight by freezing point depression.
Chapin, Earl C.; Burns, Richard F. J. Chem. Educ. 1965, 42, 564.
Chemometrics
Problem solving in chemistry (Tilbury, Glen)  Whitney, Richard M.

Whitney, Richard M. J. Chem. Educ. 1964, 41, A532.
Chemometrics |
Enrichment / Review Materials
Letters  Goldberg, David E.
The author suggests using the term "continuous chain" rather than "straight" chain so as to reduce confusion regarding the geometry of carbon chains.
Goldberg, David E. J. Chem. Educ. 1962, 39, 319.
Molecular Properties / Structure |
Nomenclature / Units / Symbols
Letters  Foy, John R.
Suggests a modification to an earlier proposed definition for the term mole.
Foy, John R. J. Chem. Educ. 1961, 38, 554.
Stoichiometry |
Nomenclature / Units / Symbols
Letters  Bieber, Theodore I.
Provides a concise definition for the mole.
Bieber, Theodore I. J. Chem. Educ. 1961, 38, 554.
Stoichiometry |
Nomenclature / Units / Symbols
Letters  Cohen, Irwin
Proposes use of the term cardinal weight.
Cohen, Irwin J. Chem. Educ. 1961, 38, 554.
Stoichiometry |
Nomenclature / Units / Symbols
A formula for indirect gravimetry  Fiekers, B. A.
Derivation of a formula for indirect gravimetry and application to a sample problem.
Fiekers, B. A. J. Chem. Educ. 1956, 33, 575.
Gravimetric Analysis |
Chemometrics |
Quantitative Analysis
Mathematical chemistry  Swinbourne, Ellice S.; Lark, P. David
Examines some of the challenges involved in the design of a course in mathematics suitable for undergraduate chemists.
Swinbourne, Ellice S.; Lark, P. David J. Chem. Educ. 1953, 30, 570.
Chemometrics |
Mathematics / Symbolic Mathematics