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Herron, J. Dudley; Wheatley, Grayson H. – Mathematics Teacher, 1978
A unit analysis approach, advocated by science teachers, teaching students to solve proportions, is described. (JT)
Descriptors: Cognitive Development, Instruction, Mathematics Education, Problem Solving
Clausen, Mary C. – Mathematics Teacher, 2005
The problem of solving mathematical equations can be quite tough for some students hence they face a great difficulty when applying ideas to the actual process. Students in algebra classes are taught coding in which they write down what they will need to do to solve the equation and this coding makes the students more adept at solving equations…
Descriptors: Children, Cognitive Development, Equations (Mathematics), Algebra

Chu, David; Chu, Joan – Mathematics Teacher, 1992
The intuitive simplicity of probability can be deceiving. Described is a dialogue that presents arguments for conflicting solutions to a seemingly simple problem determining the probability of having two boys in a two-child family knowing that one child is a boy. Solutions contain multiple arguments and representations. (MDH)
Descriptors: Cognitive Development, Decision Making, Group Discussion, Mathematical Logic

Levy, Benjamin N. – Mathematics Teacher, 1990
Discussed is the use of a program called MathCAD which allows students to solve higher order polynomial equations and geometry problems. The use of cooperative learning is emphasized. Included are graphs and part of a printout generated while solving problems with MathCAD. (KR)
Descriptors: Algebra, Calculus, Cognitive Development, Computer Software

Spence, Lawrence E. – Mathematics Teacher, 1990
Applications of generalizations of both arithmetic and geometric progressions are presented. The first-order difference equation is used in solving seven examples from finance, business, and medicine. Detailed directions are included for each example. (KR)
Descriptors: Cognitive Development, Computation, Geometry, Mathematical Applications

Moody, Marian – Mathematics Teacher, 1990
Described is a learning activity that requires students to observe, read, and interpret graphs and organize and describe data. Included are the grade level, materials, objectives, prerequisites, directions, answers to questions, and copies of handouts. (KR)
Descriptors: Cognitive Development, Estimation (Mathematics), Graphs, Junior High Schools

Spikell, Mark A. – Mathematics Teacher, 1990
Presented is an informal technique for counting the number of different-sized equilateral triangles on an isometric grid. Five activities that relate to this topic are included. (KR)
Descriptors: Cognitive Development, Geometric Concepts, Geometric Constructions, Geometry

Artzt, Alice F.; Newman, Claire M. – Mathematics Teacher, 1991
Discussed is how the concept of equivalence can relate various segments of a mathematics program and help students develop an appreciation of the unity of mathematics. Activities and examples of equivalence at all grade levels are included. (KR)
Descriptors: Cognitive Development, Concept Formation, Elementary School Mathematics, Elementary Secondary Education

Mathematics Teacher, 1990
Described is a student-produced bulletin board that illustrates that mathematics is a universal language and that mathematics is being created around the world. Presented are two approaches for resolving a problem involving three equations and three unknowns. (KR)
Descriptors: Cognitive Development, Computation, Cooperative Learning, Interdisciplinary Approach

Piston, Calvin – Mathematics Teacher, 1992
Proposes three types of supplementary problems to develop students' skill in interpretation of graphically represented data. Eleven examples are presented and solved for the following types of problems: comparison of one quantity to another, comparison of two quantities that each depend on a common parameter, and reasonable data prediction. (MDH)
Descriptors: Cognitive Development, Data Analysis, Data Interpretation, Enrichment Activities

Hoffer, Alan R. – Mathematics Teacher, 1993
Discusses the potential that school mathematics has for being a source of exploration and discovery for students and teachers. Provides a process-oriented definition of understanding mathematics. Presents activities in which students construct computer and actual models of polyhedra and make conjectures regarding a medical research application of…
Descriptors: Class Activities, Cognitive Development, Cognitive Processes, Comprehension

Bezuk, Nadine S.; Armstrong, Barbara E. – Mathematics Teacher, 1992
Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…
Descriptors: Calculators, Cognitive Development, Concept Formation, Fractions