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Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2018
These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.
Descriptors: Geometric Concepts, Geometry, Mathematical Models, Problem Solving
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Czocher, Jennifer A. – Educational Studies in Mathematics, 2018
Contemporary scholars describe mathematical modeling as a transformation of a real-world problem to a mathematical problem and back again. This paper treats a critical issue in the modeling process: how modelers determine if the transformation from the real world to mathematics was carried out well. I present an empirically derived typology of…
Descriptors: Mathematical Models, Prediction, Engineering Education, Undergraduate Students
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Abernethy, Gavin M. – International Journal of Mathematical Education in Science and Technology, 2018
A simple discrete-time two-dimensional dynamical system is constructed and analyzed numerically, with modelling motivations drawn from the zombie virus of popular horror fiction, and with suggestions for further exercises or extensions suitable for an introductory undergraduate course.
Descriptors: Mathematical Models, Mathematics, Equations (Mathematics), Mathematical Concepts
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Solares Rojas, Armando; Preciado Babb, Armando Paulino; Peña, Fredy; Ortiz, Andrea; Rosas, Marisol Sandova; Velasco, Remedios Soriano; Vázquez, Vicente Carrión; Fuentes, Mauricio Farrugia – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
Throughout the years, Mathematical Modeling has gained international attention, not only in research but also in the development of curricula and its applications in the classroom. However, systematic literary surveys are scarce. In this paper, we present some findings from a survey of 485 international publications related to different aspects of…
Descriptors: Educational Trends, Mathematical Models, Periodicals, Latin Americans
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Segura, Carlos; Ferrando, Irene – Education Sciences, 2021
Fermi problems are useful for introducing modelling in primary school classrooms, although teachers' difficulties in problem solving may hinder their successful implementation. These difficulties are associated with the modelling process, but also with the estimation and measurement skills required by Fermi problems. In this work, a specific…
Descriptors: Error Patterns, Problem Solving, Preservice Teachers, Elementary School Teachers
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Kollosche, David; Meyerhöfer, Wolfram – Educational Studies in Mathematics, 2021
Maturity and citizenship in a democracy require that laypersons are able to critically evaluate experts' use of mathematics. Learning to critically reflect on the use of mathematics, including the acquisition of the mathematical knowledge and skills required to that end, has been repeatedly postulated as an indispensable goal of compulsory…
Descriptors: COVID-19, Pandemics, Mathematics Education, Expertise
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Andersson, Annica; Nolan, Kathleen – in education, 2021
In March 2020, near the onset of the COVID-19 related lockdowns, quarantine, and isolation measures being taken worldwide, we noticed an increasing number of graphs, diagrams, images and mathematical models relating to the pandemic posted on our Facebook walls. For the purposes of this paper, we selected a number of these Facebook posts to discuss…
Descriptors: COVID-19, Pandemics, Social Media, Mathematics Education
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Hidiroglu, Çaglar Naci – Acta Didactica Napocensia, 2021
The aim of this study is to investigate the opinions of the secondary and high school mathematics teachers and mathematics teacher candidates who have been educated about HTTM learning process and experienced HTTM activities in the classroom environment about HTTM learning process. The study is a basic qualitative research study conducted with a…
Descriptors: Secondary School Teachers, Mathematics Teachers, Preservice Teachers, Teaching Methods
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Rafiepour, Abolfazl; Farsani, Danyal – Mathematics Teaching Research Journal, 2021
In this paper, six mathematics curriculum changes in Iran are reviewed, spanning from 1900 to 2021. Change of forces, barriers, and the main features of each reform are represented. Specifically, the first five curriculum changes are described briefly and the sixth and most recent one is elaborated upon, with more detail as contemporary school…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematics Curriculum, Educational Change
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Bonawitz, Elizabeth; Ullman, Tomer D.; Bridgers, Sophie; Gopnik, Alison; Tenenbaum, Joshua B. – Cognitive Science, 2019
Constructing an intuitive theory from data confronts learners with a "chicken-and-egg" problem: The laws can only be expressed in terms of the theory's core concepts, but these concepts are only meaningful in terms of the role they play in the theory's laws; how can a learner discover appropriate concepts and laws simultaneously, knowing…
Descriptors: Theories, Intuition, Magnets, Young Children
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Diedrichs, Danilo R. – PRIMUS, 2019
Harvesting models based on ordinary differential equations are commonly used in the fishery industry and wildlife management to model the evolution of a population depleted by harvest mortality. We present a project consisting of a series of scenarios based on fishery harvesting models to teach the application of theoretical concepts learned in a…
Descriptors: Mathematical Models, Equations (Mathematics), Calculus, Industry
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McCarthy, Chris; Lan, Jie; Li, Jieying – PRIMUS, 2019
We present noncompetitive adsorption as "particles in a box with one sticky wall." We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE's solution imperfectly fits the simulation's data. This leads to the diffusion partial…
Descriptors: Equations (Mathematics), Mathematical Models, Problem Solving, Computer Simulation
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Bliss, Karen M.; Galluzzo, Benjamin J.; Kavanagh, Kathleen R.; Skufa, Joseph D. – PRIMUS, 2019
To promote and facilitate the teaching of math modeling throughout the K-16 setting, the Consortium for Mathematics and Its Applications and the Society for Industrial and Applied Mathematics recently published the GAIMME (Guidelines for Assessment and Instruction in Mathematical Modeling Education) Report. This paper provides insight into how the…
Descriptors: Mathematical Models, Undergraduate Study, Mathematics Instruction, Elementary Secondary Education
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Nabb, Keith; Murawska, Jaclyn – PRIMUS, 2019
The Corvette Problem is a nonroutine investigation, one that provides an authentic context to explore many interrelated calculus ideas. In our years of sharing this problem with students and colleagues, we have found additional topics from the calculus curriculum to have rich interpretations in this environment. The Corvette Problem contextualizes…
Descriptors: Calculus, Student Motivation, Mathematics Instruction, College Mathematics
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Hansen, John; Sadler, Philip; Sonnert, Gerhard – Educational Measurement: Issues and Practice, 2019
The high school grade point average (GPA) is often adjusted to account for nominal indicators of course rigor, such as "honors" or "advanced placement." Adjusted GPAs--also known as weighted GPAs--are frequently used for computing students' rank in class and in the college admission process. Despite the high stakes attached to…
Descriptors: Grade Point Average, High School Students, Difficulty Level, Weighted Scores
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