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Brady, Corey; McLean, Jeffrey; Jung, Hyunyi; Dominguez, Angeles; Baker, Courtney; Glancy, Aran – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
The Models and Modeling Working Group at PME-NA has provided a forum for discussing and collaborating on projects fundamental to research on mathematical modeling since the first PME-NA conference in 1978. We propose to convene this Working Group at PME-NA 41 with a dual purpose: (1) to build on a theme begun in Greenville, holding a focused…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Problem Solving
Olteanu, Constanta – International Journal of Mathematical Education in Science and Technology, 2018
This paper uses a post-qualitative philosophical perspective to find new ways of understanding teaching and learning. The paper presents a series of examples that were used in a longitudinal study, with the aim of creating variation patterns that would make it possible for students to discern the use of the four basic arithmetic operations in…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Models, Problem Solving
Ferrando, Irene; Albarracín, Lluís – Mathematics Education Research Journal, 2021
One hundred four students aged 8 to 16 worked on one Fermi problem involving estimating the number of people that can fit in their school playground. We present a qualitative analysis of the different mathematical models developed by the students. The analysis of the students' written productions is based on the identification of the model of…
Descriptors: Mathematics Instruction, Problem Solving, Computation, Mathematical Models
Groshong, Kimberly A. – ProQuest LLC, 2018
This dissertation reports the research methodology and findings of three studies focused on mathematical modeling as a structured problem-solving process where the student translates relevant details from a situation, event, or phenomena in daily life into mathematical language with mathematically-defined structures and operations, which form the…
Descriptors: Mathematical Models, Mathematics Skills, Problem Solving, STEM Education
Trisnawati; Pratiwi, Rani; Waziana, Winia – Malikussaleh Journal of Mathematics Learning, 2018
This study aims to obtain a description of the application of Realistic Mathematic Education (RME) that can improve students' mathematical communication ability. The type of research used is a classroom action research that refers to the design of Kemmis and Mc.Taggart research they are planning, action, observation, and reflection. The results…
Descriptors: Mathematics Education, Mathematics Skills, Communication Skills, Action Research
Czocher, Jennifer A.; Moss, Diana L. – Mathematics Teaching in the Middle School, 2017
This article presents the Snail problem, a relatively simple challenge about motion that offers engaging extensions involving the notion of infinity. It encourages students in grades 5-9 to connect mathematics learning to logic, history, and philosophy through analyzing the problem, making sense of quantitative relationships, and modeling with…
Descriptors: Mathematical Concepts, Motion, Concept Formation, Problem Solving
Gainsburg, Julie – Mathematical Thinking & Learning: An International Journal, 2006
Math-education reformers encourage the incorporation of mathematical modeling activities into K-12 curricula. Many of the purported educational benefits derive from the authenticity of the activities-how well they reflect the everyday and occupational mathematical practices of adults. But a paucity in the literature of observational descriptions…
Descriptors: Engineering, Technical Occupations, Ethnography, Problem Solving

Doerr, Helen M.; Tripp, Joseph S. – Mathematical Thinking and Learning, 1999
Discusses findings from a research study designed to characterize students' development of significant mathematical models by examining the shifts in their thinking that occur during problem investigations. Reveals four sources of mismatches that were significant in bringing about the occurrence of shifts in students' thinking. (Contains 16…
Descriptors: Cognitive Processes, Elementary Secondary Education, Mathematical Models, Mathematics Education

Dugdale, 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

Nunokawa, 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
Camp, John S. – Creative Computing, 1978
The purpose of this paper is to present problems (and solutions) from the areas of marketing, population planning, system reliability, and mathematics to show how a computer simulation can be used as a problem-solving strategy in probability. Examples using BASIC and two methods of generating random numbers are given. (Author/MP)
Descriptors: Computer Programs, Elementary Secondary Education, Experiential Learning, Experiments
Verschaffel, Lieven – 2002
This paper briefly reviews research grounded in cultural and socio-constructivist theories carried out to investigate the phenomenon of suspension of sense-making when doing school arithmetic word problems. It begins with ascertaining studies documenting and marking out the phenomenon, then provides an explanation of the observed effects that are…
Descriptors: Educational Environment, Elementary Secondary Education, Mathematical Applications, Mathematical Models
Roberts, Nancy – Classroom Computer News, 1983
Discusses steps involved in model building and simulation: understanding a problem, building a model, and simulation. Includes a mathematical model (focusing on a problem dealing with influenza) written in the DYNAMO computer language, developed specifically for writing simulation models. (Author/JN)
Descriptors: Communicable Diseases, Computer Oriented Programs, Computer Science Education, Elementary Secondary Education

Blum, Werner; Niss, Mogens – Educational Studies in Mathematics, 1991
This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…
Descriptors: Computer Assisted Instruction, Elementary Secondary Education, Mathematical Models, Mathematics Education
Wholeben, Brent Edward – 1984
Complex decision-making environments often demand that a range of alternative strategies be identified and compared for their shared value in achieving desired ends. Simple parametric statistical procedures such as analysis of variance and discriminant function analysis can be used in such situations to compare (using selected criteria) the value…
Descriptors: Comparative Analysis, Computer Simulation, Decision Making, Elementary Secondary Education