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Forest Mannan – International Journal of Mathematical Education in Science and Technology, 2024
This article considers starting with an existing SIMIODE modeling scenario [Winkel, B. (2015). 1-031-CoolIt-ModelingScenario. SIMIODE (Version 2.0). "QUBES Educational Resources." https://doi-org.bibliotheek.ehb.be/10.25334/3WG8-EC31] that develops Newton's law of cooling by considering data on the cooling of a beaker of water in a room, and expanding upon…
Descriptors: Calculus, Mathematical Models, Programming, Heat
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Elizabeth G. Arnold; Elizabeth A. Burroughs; Owen Burroughs; Mary Alice Carlson – International Journal of Mathematical Education in Science and Technology, 2024
The SIR model is a differential equations based model of the spread of an infectious disease that compartmentalises individuals in a population into one of three states: those who are susceptible to a disease (S), those who are infected and can transmit the disease to others (I), and those who have recovered from the disease and are now immune…
Descriptors: Calculus, Communicable Diseases, Disease Control, Simulation
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Elina Palmgren; Tapio Rasa – Science & Education, 2024
Modelling roles of mathematics in physics has proved to be a difficult task, with previous models of the interplay between the two disciplines mainly focusing on mathematical modelling and problem solving. However, to convey a realistic view of physics as a field of science to our students, we need to do more than train them to become fluent in…
Descriptors: Physics, Mathematical Models, Science Instruction, Problem Solving
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Jordan M. Wheeler; Kevin R. Raczynski; Allan S. Cohen; George Engelhard Jr. – Journal of Experimental Education, 2024
Integrated writing assessments are tasks that require students to construct an essay using evidence from source texts. Topic models are statistical models used to analyze text. This study analyzes two integrated writing tasks from students in grades 6 (N=1,250) and 8 (N=1,250) using topic models. Independent evaluations of the essays were also…
Descriptors: Middle School Students, Grade 6, Grade 8, Mathematical Models
Michelle M. Tudor – ProQuest LLC, 2024
Number sense is a key indicator of students' future academic success. Students from low socio-economic backgrounds often come to kindergarten lacking number sense skills that other students acquire before they begin formal schooling. Small-group intervention that is focused on number sense skills is an effective way to address this foundational…
Descriptors: Mathematical Models, Numeracy, Number Concepts, Kindergarten
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Kai-Lin Yang; Janina Krawitz; Stanislaw Schukajlow; Chai-Ching Yang; Yu-Ping Chang – European Journal of Psychology of Education, 2024
Based on expectancy-value theory, this study adopted a person-centred approach to explore the heterogeneous profiles of secondary German and Taiwanese students' mathematical modelling task values, and examined the differences in their mathematical modelling performance, controlling for the variable of intra-mathematical knowledge among the…
Descriptors: Foreign Countries, Mathematical Models, Knowledge Level, Secondary School Students
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Panchompoo Wisittanawat; Richard Lehrer – Cognition and Instruction, 2024
This report characterizes forms of dialogic support that a sixth-grade teacher generated during whole-class and small-group conversations to help students develop a practice of statistical modeling. During four weeks of instruction, students constructed and revised models to account for variability and uncertainty across a variety of random…
Descriptors: Statistics Education, Mathematical Models, Grade 6, Evaluation Methods
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Rukayat Oyebola Iwintolu; Oluwaseyi Aina Gbolade Opesemowo; Phebean Oluwaseyi Adetutu – Journal on Efficiency and Responsibility in Education and Science, 2024
The investigation delves into examining the influence of 2-parameter logistic (PL) and 3-parameter logistic models on the ability estimates of students in mathematical binary items. It ascertained the parameters of the items in the 2-PL and 3-PL models. We employed Item Response Theory (IRT) in the design of this research survey, with a sample…
Descriptors: Foreign Countries, Secondary School Mathematics, Secondary School Students, Mathematics Instruction
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Laura Wirth; Gilbert Greefrath – ZDM: Mathematics Education, 2024
Many instructional videos in mathematics education target knowledge of procedures and algorithms. To design instructional videos that support students in a non-algorithmic domain, such as mathematical modeling, we developed a framework based on research on heuristic worked examples and instructional videos. Because students' perceptions play an…
Descriptors: Mathematical Models, Mathematics Instruction, Secondary School Students, Video Technology
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K. K. Mashood; Arvind Kumar; Anwesh Mazumdar – International Journal of Mathematical Education in Science and Technology, 2024
Working with approximations is a common practice in physics. This paper presents an exploratory study of student understanding of some of the elementary aspects of approximations encountered in college physics. For this purpose, a questionnaire (a set of 14 multiple-choice questions) was developed to probe how students dealt with these aspects in…
Descriptors: Physics, Science Instruction, Mathematical Models, Undergraduate Students
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Wickstrom, Megan H.; Arnold, Elizabeth G. – Teaching Mathematics and Its Applications, 2023
There is a growing attention around the preparation of pre-service teachers (PSTs) as both learners and teachers of mathematical modeling. Current literature focuses on preparing PSTs as learners of modeling, and we extend current work by examining how PSTs integrate their understanding of modeling into the work of teaching. This study follows two…
Descriptors: Preservice Teachers, Mathematical Models, Competence, Mathematical Concepts
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Kandel, Matthew – Mathematics Teacher: Learning and Teaching PK-12, 2023
The mathematical modeling process is also a powerful way to teach students the meaning of data. In mathematical modeling, students are collecting data to answer a question. Data collection is the means to an end and not the end in itself. The author was looking for an engaging way to introduce his third-grade mathematics class to the skill of…
Descriptors: Mathematical Models, Mathematics Instruction, Elementary School Mathematics, Grade 3
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Kaygisiz, Ismail; Senel, Emine Aysin – Journal of Pedagogical Research, 2023
Educators have long emphasized the importance of relating mathematics to everyday life situations. During the primary school years, mathematical modeling activities play an important role in this regard. Through a mathematical modeling activity prepared in accordance with the length and area measurement learning outcomes in the primary school…
Descriptors: Mathematical Models, Competence, Elementary School Students, Mathematics Activities
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Jung, Hyunyi; Magiera, Marta T. – Mathematical Thinking and Learning: An International Journal, 2023
This paper contributes to accumulating the knowledge base about prospective elementary school teachers' (PTs') understanding of socio-critical modeling by exploring how PTs make connections to features of mathematical modeling and social justice while posing mathematical problems and reflecting on their problem-posing. We present a conceptual…
Descriptors: Mathematical Models, Social Justice, Problem Solving, Preservice Teachers
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Ramírez-Sánchez, Camilo Andrés; Romo-Vázquez, Avenilde; Romo-Vázquez, Rebeca; Velásquez-Rojas, Diana – Educational Studies in Mathematics, 2023
The training of non-specialists, particularly engineers, in mathematics requires designing specific didactic proposals that make the importance of mathematics evident. One approach to creating such proposals consists in analyzing the mathematics used in authentic contexts of engineering research and then effectuating a didactic transposition to…
Descriptors: Undergraduate Students, Mathematics Instruction, Engineering, Teaching Methods
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