Journal Articles: 24 results 

CrossProportions: A Conceptual Method for Developing Quantitative ProblemSolving Skills Elzbieta Cook and Robert L. Cook This paper focuses attention on the crossproportion (CP) method of mathematical problem solving, which was once widely used in chemical calculations. We propose that this method regain currency as an alternative to the dimensional analysis (DA) method, particularly in lowerlevel chemistry courses. In recent years, the DA method has emerged as the only problem solving mechanism offered to highschool and general chemistry students in contemporary textbooks, replacing more conceptual methods, CP included. Cook, Elzbieta; Cook, Robert L. J. Chem. Educ. 2005, 82, 1187.
Learning Theories 
Stoichiometry 
Chemometrics 
StudentCentered Learning

Encouraging Meaningful Quantitative Problem Solving Jeff Cohen, Meghan KennedyJustice, Sunny Pai, Carmen Torres, Rick Toomey, Ed DePierro, and Fred Garafalo This paper describes the efforts of a group of teachers to help college freshman chemistry students and high school science students to improve their problemsolving skills. The presentation includes several sets of questions intended to elucidate ideas and to involve the reader in the process of reflecting upon his or her own problemsolving strategies. Cohen, Jeff; KennedyJustice, Meghan; Pai, Sunny; Torres, Carmen; Toomey, Rick; DePierro, Ed; Garafalo, Fred. J. Chem. Educ. 2000, 77, 1166.
Mathematics / Symbolic Mathematics 
Chemometrics

MathBrowser: WebEnabled Mathematical Software with Application to the Chemistry Curriculum, v 1.0 Jack G. Goldsmith MathBrowser, a freeware webenabled derivative of the MathCad mathematical software (MathSoft Inc., Cambridge, MA), is designed to reconcile the problem of how to distribute mathematically rich information over the WWW and to maintain interactivity for the end user. Goldsmith, Jack G. J. Chem. Educ. 1997, 74, 1164.
Mathematics / Symbolic Mathematics 
Chemometrics

Dimensional Analysis: An Analogy to Help Students Relate the Concept to Problem Solving James R. McClure Using dominoes to help students understand the conversion factor method of dimensional analysis. McClure, James R. J. Chem. Educ. 1995, 72, 1093.
Nomenclature / Units / Symbols 
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

Ideas of Equality and Ratio: Mathematical Basics for Chemistry and the Fallacy of Unitary Conversion Ochiai, ElIchiro. The author argues against dimensional analysis (referred to as the "unitary conversion method" in this article) and champions the more elegant "ratio" or "equality" paradigms as a way to help students make sense of chemical equations and "dealgorithmize" chemical calculations at the introductory level. Ochiai, ElIchiro. J. Chem. Educ. 1993, 70, 44.
Chemometrics

Is Dimensional Analysis the Best We Have to Offer? Canagaratna, Sebastian G. Dimensional analysis is a unit based approach while the alternative, "method of equations" is a relationsbased approach to solving mathematical problems. The author argues that quantitative chemistry involves relationships between quantities and not units, making the later method more pedagogically sound. Canagaratna, Sebastian G. J. Chem. Educ. 1993, 70, 40.
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

A significant example: How many days in a century? Lisensky, George Calculating the number of days in a century can help clarify the subject of significant figures. Lisensky, George J. Chem. Educ. 1990, 67, 562.
Nomenclature / Units / Symbols 
Chemometrics

The relationship between Mdemand, algorithms, and problem solving: A neoPiagetian analysis Niaz, Mansoor One of the most important implements developed by the neoPiagetian theory is task analysis, that is, the evaluation of the Mdemand of a problem. Mdemand can be defined as: maximum number of steps that the subject must mobilize simultaneously in in the course of executing a task. Niaz, Mansoor J. Chem. Educ. 1989, 66, 422.
Learning Theories 
Chemometrics

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 problemsolving skills. Kean, Elizabeth; Middlecamp, Catherine Hurt; Scott, D. L. J. Chem. Educ. 1988, 65, 987.
Stoichiometry 
Chemometrics

A flowchart for dimensional analysis Graham, D. M. A flowchart to help students organize their thoughts when solving conversion problems. Graham, D. M. J. Chem. Educ. 1986, 63, 527.
Chemometrics 
Nomenclature / Units / Symbols 
Stoichiometry

Working backwards is a forward step in the solution of problems by dimensional analysis Drake, Robert F. Solving chemistry calculations by determining the units of the desired answer and then working backwards using dimensional analysis. Drake, Robert F. J. Chem. Educ. 1985, 62, 414.
Chemometrics 
Nomenclature / Units / Symbols

Reflections upon mathematics in the introductory chemistry course Goodstein, Madeline P. It is the purpose of this paper to call attention to the lack of mathematical competence by chemistry students and to invite consideration of one conceptual scheme which may be used to unify the mathematical approach. Goodstein, Madeline P. J. Chem. Educ. 1983, 60, 665.
Chemometrics 
Gases

CAI Programs in BASIC and an associated MATH subroutine Anderson, Robert Hunt 25. Bits and pieces, 9. Four BASIC programs involving basic calculations and mathematical problems in chemistry. Anderson, Robert Hunt J. Chem. Educ. 1982, 59, 129.
Chemometrics 
Enrichment / Review Materials

Adopting SI units in introductory chemistry Davies, William G.; Moore, John W. Conventions associated with SI units, conversion relationships commonly used in chemistry, and a roadmap method for solving stoichiometry problems. Davies, William G.; Moore, John W. J. Chem. Educ. 1980, 57, 303.
Nomenclature / Units / Symbols 
Chemometrics

Adding another dimension to dimensional analysis DeLorenzo, Ronald Adding words to typical dimensional analysis work to improve understanding and communication. DeLorenzo, Ronald J. Chem. Educ. 1980, 57, 302.
Chemometrics

The chemical equation. Part I: Simple reactions Kolb, Doris A chemical equation is often misunderstood by students as an "equation" that is used in chemistry. However, a more accurate description is that it is a concise statement describing a chemical reaction expressed in chemical symbolism. Kolb, Doris J. Chem. Educ. 1978, 55, 184.
Stoichiometry 
Chemometrics 
Nomenclature / Units / Symbols 
Reactions

A pregeneral 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

Cookbook dimensional analysis DeLorenzo, Ronald Frequently, teachers will hear, "...it looks easy when you do it..." when teaching dimensional analysis. This teacher advises others on a way to help students gain selfefficacy with this problem solvingstrategy. DeLorenzo, Ronald J. Chem. Educ. 1976, 53, 633.
Stoichiometry 
Chemometrics

Problem solving in chemistry (Tilbury, Glen) Whitney, Richard M.
Whitney, Richard M. J. Chem. Educ. 1964, 41, A532.
Chemometrics 
Enrichment / Review Materials

Operator formalism in dimensional analysis Musulin, Boris Describes another approach to dimensional analysis. Musulin, Boris J. Chem. Educ. 1964, 41, 622.
Chemometrics

Dimensional analysis of chemical laws and theories Benfey, O. Theodore The dimensional analysis of the kinetic theory and organic structural theory. Benfey, O. Theodore J. Chem. Educ. 1957, 34, 286.
Chemometrics 
KineticMolecular Theory

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

