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Ostler, Elliot; Flesch, Michael – MathAMATYC Educator, 2012
This paper justifies the need for, and offers some suggestions on, the selection and implementation of mathematical problems known as dynamic solution exercises (DSEs). The intent of this article is to help provide insight into how mathematics teachers can go about making "vertical articulation" a cooperative and tangible part of the…
Descriptors: Mathematics Curriculum, Program Implementation, Educational Strategies, Problem Sets
Varghese, Thomas – School Science and Mathematics, 2011
The National Council of Teachers of Mathematics calls for an increased emphasis on proof and reasoning in school mathematics curricula. Given such an emphasis, mathematics teachers must be prepared to structure curricular experiences so that students develop an appreciation for both the value of proof and for those strategies that will assist them…
Descriptors: Mathematical Logic, Skill Development, Mathematical Applications, Mathematical Models
van Loon-Hillen, Nelleke; van Gog, Tamara; Brand-Gruwel, Saskia – Interactive Learning Environments, 2012
A large body of research has shown that for novice learners, instruction that relies more heavily on worked examples than on problem solving, is more effective for learning as shown by higher test performance. Moreover, this beneficial effect is often obtained with less acquisition time and lower cognitive load during acquisition and test phase.…
Descriptors: Mathematics Curriculum, Quasiexperimental Design, Learning Strategies, Problem Solving

Kim, K. H.; And Others – American Mathematical Monthly, 1992
Provides a survey of models that use mathematics in a variety of fields of social science. Discusses specifically mathematical applications in demography, economics, management, political science, psychology, sociology, and other areas. Proposes four unsolved problems. (20 references) (MDH)
Descriptors: College Mathematics, Demography, Economics, Higher Education

Kitchen, Ann – Mathematics in School, 1989
Discusses three types of bridges to determine how best to model each one: (1) drawbridge; (2) balance bridge; and (3) bascule bridge. Describes four experiments with assumptions, analyses, interpretations, and validations. Provides several diagrams and pictures of the bridges, and typical data. (YP)
Descriptors: Foreign Countries, Mathematical Applications, Mathematical Enrichment, Mathematical Formulas

Lobato, Joanne E. – Arithmetic Teacher, 1993
Describes four methods to structure estimation activities that enable students to make connections between their understanding of numbers and extensions of those concepts to estimating. Presents activities that connect estimation with other curricular areas, other mathematical topics, and real-world applications. (MDH)
Descriptors: Elementary Education, Estimation (Mathematics), Geography, Integrated Activities
Fishman, Joseph – 1985
This unit was designed to develop mathematical applications in relation to a community resource issue. It should both motivate mathematics learning and provide meaningful problems for reinforcing understanding of mathematics content and skills, including ratios and percentages, linear equations, exponential functions, graphing, and the reading and…
Descriptors: Controversial Issues (Course Content), Energy, Environmental Education, Fuels
Sowder, Larry – 1988
This project was based on recent interview research which suggested that in choosing operations for story problems in mathematics many students are guided by computational considerations rather than meanings for the operations. This project aimed to refine the catalogue of strategies used by students and to design and test instructional materials…
Descriptors: Computation, Curriculum Development, Curriculum Evaluation, Elementary Education