TIGER

Journal Articles: 24 results
Cross-Proportions: A Conceptual Method for Developing Quantitative Problem-Solving Skills  Elzbieta Cook and Robert L. Cook
This paper focuses attention on the cross-proportion (C-P) 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 lower-level chemistry courses. In recent years, the DA method has emerged as the only problem solving mechanism offered to high-school and general chemistry students in contemporary textbooks, replacing more conceptual methods, C-P included.
Cook, Elzbieta; Cook, Robert L. J. Chem. Educ. 2005, 82, 1187.
Learning Theories |
Stoichiometry |
Chemometrics |
Student-Centered Learning
Encouraging Meaningful Quantitative Problem Solving  Jeff Cohen, Meghan Kennedy-Justice, 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 problem-solving 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 problem-solving strategies.
Cohen, Jeff; Kennedy-Justice, Meghan; Pai, Sunny; Torres, Carmen; Toomey, Rick; DePierro, Ed; Garafalo, Fred. J. Chem. Educ. 2000, 77, 1166.
Mathematics / Symbolic Mathematics |
Chemometrics
MathBrowser: Web-Enabled Mathematical Software with Application to the Chemistry Curriculum, v 1.0  Jack G. Goldsmith
MathBrowser, a freeware web-enabled 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, El-Ichiro.
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 "de-algorithmize" chemical calculations at the introductory level.
Ochiai, El-Ichiro. 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 relations-based 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 M-demand, algorithms, and problem solving: A neo-Piagetian analysis  Niaz, Mansoor
One of the most important implements developed by the neo-Piagetian theory is task analysis, that is, the evaluation of the M-demand of a problem. M-demand 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 problem-solving 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 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
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 self-efficacy with this problem solving-strategy.
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 |
Kinetic-Molecular 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