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LaPatra, J. W. – Eng Educ, 1970
When an engineering researcher changes from his work on things to research on people, he faces an array of new ethical questions, and a new view of scientific objectivity must be developed for the study of man and society. (IR)
Descriptors: Decision Making Skills, Engineering Education, Mathematical Models, Problem Solving
Peer reviewedBrumfiel, Charles – Arithmetic Teacher, 1971
Before judging a student's diagram correct or incorrect, the mental associations made by the student between his diagram and the problem should be known. This is a follow-up to the author's article in the November 1970, Arithmetic Teacher." (RS)
Descriptors: Association (Psychology), Diagrams, Elementary School Mathematics, Instruction
Peer reviewedBartholomew, D. J. – Mathematical Spectrum, 1969
Descriptors: Algebra, College Mathematics, Mathematical Enrichment, Mathematical Models
Peer reviewedRoberts, Nancy – Mathematics Teacher, 1981
A programing language called DYNAMO, developed especially for writing simulation models, is promoted. Details of six, self-teaching curriculum packages recently developed for simulation-oriented instruction are provided. (MP)
Descriptors: Computers, Mathematical Applications, Mathematical Models, Mathematics Curriculum
Peer reviewedBergan, John R. – Contemporary Educational Psychology, 1980
This study illustrates a process for selecting a preferred model in the validation of hierarchical learning scales. The test performance of 100 8-to 11-year-old children on subtraction tasks involving variations in borrowing are examined. Goodman's response scaling technique is illustrated. (Author/GDC)
Descriptors: Elementary Education, Learning Theories, Mathematical Models, Problem Solving
Gardner, Martin – Scientific American, 1979
Discusses some mathematical games concerning the packing of squares. (HM)
Descriptors: Educational Games, Game Theory, Games, Mathematical Applications
Peer reviewedDugdale, Sharon – Journal of Computers in Mathematics and Science Teaching, 1994
Reports on the results of a project that involved experienced K-12 teachers in mathematical modeling, using variables and functions in a fundamental and intuitive context, while investigating the appropriateness of spreadsheet solution methods across a broad range of grade levels. (14 references) (LZ)
Descriptors: Elementary Secondary Education, Mathematical Models, Mathematics Instruction, Problem Solving
Peer reviewedWitkowski, Joseph C. – Mathematics Teacher, 1992
Looks at the solution to the mathematical-modeling problem asking students to find the smallest percent of the popular vote needed to elect a President. Provides assumptions from which to work the problem. (MDH)
Descriptors: Elections, Mathematical Applications, Mathematical Enrichment, Mathematical Models
Peer reviewedNunokawa, Kazuhiko – For the Learning of Mathematics, 1994
Discusses diagrams and problem solvers' constructions of a problem situation, how the way of drawing changes during the problem-solving process, and the meaning and sense of diagrams. (Contains 15 references.) (MKR)
Descriptors: Diagrams, Elementary Secondary Education, Heuristics, Learning Strategies
Peer reviewedSwafford, Jane O.; Langrall, Cynthia W. – Journal for Research in Mathematics Education, 2000
Investigates 6th-grade students' use of equations to describe and represent problem situations prior to formal instruction in algebra. Describes students' preinstructional uses of equations to generalize problem situations and raise questions about the most appropriate curriculum for building on students' intuitive knowledge of algebra. (Contains…
Descriptors: Algebra, Equations (Mathematics), Grade 6, Learning Strategies
Kuehner, Joel P.; Mauch, Elizabeth K. – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2006
A method for teaching problem-solving skills to mathematics students is presented. By subtly incorporating engineering applications, the students are simultaneously exposed to an effective outreach programme. The process includes offering a complex problem that challenges students' abilities. Before allowing the students to become frustrated, the…
Descriptors: Teaching Methods, Mathematical Models, Problem Solving, Engineering
Board, Raymond Acton – 1990
This thesis addresses problems from two areas of theoretical computer science. The first area is that of computational learning theory, which is the study of the phenomenon of concept learning using formal mathematical models. The goal of computational learning theory is to investigate learning in a rigorous manner through the use of techniques…
Descriptors: Algorithms, Computer Science, Computer Science Education, Higher Education
Peer reviewedBrown, Daniel J. – Planning and Changing, 1974
In administrative inquiry, the scientific tradition is utilized less frequently than the humanistic tradition. Such imbalance in perspectives may be a cause of the acknowledged poverty of the knowledge base. Departments of educational administration should encourage the existence of proponents of both perspectives within their ranks. (Author/WM)
Descriptors: Administrator Education, Educational Administration, Educational Planning, Educational Research
Yackel, Erna; Wheatley, Grayson H. – 1985
This study investigated the problem representations formed by college students while solving mathematics problems. Problem representation characteristics indicative of understanding were identified by analyzing audio-tapes and written work of sixteen subjects, ages 16 to 24, who solved mathematics problems using the think-aloud technique. These…
Descriptors: Cognitive Processes, College Mathematics, Educational Research, Higher Education
Peer reviewedTrigg, Charles W. – Mathematics Teacher, 1974
Five methods are given for computing the area of a regular octahedron. It is suggested that students first construct an octahedron as this will aid in space visualization. Six further extensions are left for the reader to try. (LS)
Descriptors: Geometric Concepts, Geometry, Instruction, Mathematical Formulas

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