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Amy Adair; Michael Sao Pedro; Janice Gobert; Jessica A. Owens – Grantee Submission, 2023
Developing models and using mathematics are two key practices in internationally recognized science education standards such as the Next Generation Science Standards (NGSS, 2013). In this paper, we used a virtual performance-based formative assessment to capture students' competencies at both "developing" and "evaluating"…
Descriptors: Student Evaluation, Mathematical Models, Competence, Scientific Research
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Sand, Odd Petter; Lockwood, Elise; Caballero, Marcos D.; Mørken, Knut – Digital Experiences in Mathematics Education, 2022
We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final…
Descriptors: College Freshmen, Mathematical Models, Video Technology, Computer Science Education
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Cai, Jinfa; LaRochelle, Raymond; Hwang, Stephen; Kaiser, Gabriele – Educational Studies in Mathematics, 2022
This study examined how expert and novice (preservice) teachers solved mathematical modelling tasks as well as how they noticed written artifacts of student thinking that were in response to the mathematical modelling tasks. Some teachers in both groups were aware of the openness and underdetermination of the modelling tasks and that these…
Descriptors: Experienced Teachers, Preservice Teachers, Secondary School Teachers, Teacher Competencies
Siemon, Dianne – Mathematics Education Research Group of Australasia, 2022
This paper draws on numerous data sources to better understand the shift from additive to multiplicative thinking in years 4 to 9. Research studies that have used the Scaffolding Numeracy in the Middle Years assessment tasks have found that while students can be supported to move through the early and upper zones of the Learning and Assessment…
Descriptors: Mathematics Skills, Thinking Skills, Middle School Students, Multiplication
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Koparan, Timur; Rodríguez-Alveal, Francisco – Journal of Pedagogical Research, 2022
Solving real-life problems through mathematical modeling is one of the aims of modern mathematics curricula. For this reason, prospective mathematics teachers need to acquire modeling skills and use these skills in learning environments in terms of creating rich learning environments. With this study, it is aimed to examine the reflections of…
Descriptors: Probability, Thinking Skills, Preservice Teachers, Graphs
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MacIntyre, C. Raina; Costantino, Valentina; Bian, Linkan; Bethel, Cindy – Journal of American College Health, 2022
Background: Universities are at risk for COVID-19 and Fall semester begins in August 2020 for most campuses in the United States. The Southern States, including Mississippi, are experiencing a high incidence of COVID-19. Aims: The objective of this study is to model the impact of face masks and hybrid learning on the COVID-19 epidemic on…
Descriptors: Campuses, COVID-19, Pandemics, Disease Control
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González, Antonio; Gavilán-Izquierdo, José María; Gallego-Sánchez, Inés; Puertas, María Luz – Journal on Mathematics Education, 2022
The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…
Descriptors: Graphs, Validity, Mathematics Instruction, Geometry
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Salinas, Dino G.; Gallardo, Mauricio O. – International Journal of Mathematical Education in Science and Technology, 2022
Biological systems exhibit strong dynamic variations; for example, a system may have a tendency towards either a steady state, periodic behaviour or chaotic oscillations. These findings, explained by dynamic systems theory, have allowed researchers to formally relate a wide variety of systems, such as the theory of rumour propagation, glucose…
Descriptors: Biology, Mathematics Instruction, Science Instruction, Teaching Methods
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Porgo, Teegwendé V.; Norris, Susan L.; Salanti, Georgia; Johnson, Leigh F.; Simpson, Julie A.; Low, Nicola; Egger, Matthias; Althaus, Christian L. – Research Synthesis Methods, 2019
Mathematical modeling studies are increasingly recognised as an important tool for evidence synthesis and to inform clinical and public health decision-making, particularly when data from systematic reviews of primary studies do not adequately answer a research question. However, systematic reviewers and guideline developers may struggle with…
Descriptors: Mathematical Models, Evidence, Glossaries, Medical Research
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Leung, Allen – International Journal of Science and Mathematics Education, 2019
How to pedagogically integrate the four STEM (science, technology, engineering, and mathematics) disciplines is a main discussion issue in STEM education. Inquiry-based learning, mathematical modeling, and tool-based pedagogy could go hand in hand to provide a possible integrated STEM pedagogical framework for mathematics and science. This…
Descriptors: STEM Education, Inquiry, Teaching Methods, Mathematical Models
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Zumbo, Bruno D.; Kroc, Edward – Educational and Psychological Measurement, 2019
Chalmers recently published a critique of the use of ordinal a[alpha] proposed in Zumbo et al. as a measure of test reliability in certain research settings. In this response, we take up the task of refuting Chalmers' critique. We identify three broad misconceptions that characterize Chalmers' criticisms: (1) confusing assumptions with…
Descriptors: Test Reliability, Statistical Analysis, Misconceptions, Mathematical Models
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Anne Fernando; Katharine Gurski; Timmy Ma – PRIMUS, 2024
We joined an initiative to engage faculty and undergraduate students in research by scheduling regular early college-level mathematics research presentations with pre- and post-lecture exercises. While our program featured six talks that were predominantly in the mathematical biosciences, the concept of creating themed topics for presentations can…
Descriptors: Undergraduate Students, College Faculty, Student Research, Mathematics Instruction
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Rui Kang – The Mathematics Educator, 2024
This study examines how professional noticing of student mathematical thinking evolves in the context of modeling and what is special about the context of modeling. Eight middle and secondary school teachers participated in this one-semester long study and received three training sessions on professional noticing. Teachers provided more…
Descriptors: Mathematics Skills, Mathematical Models, Secondary School Mathematics, Mathematics Teachers
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Derek J. Bischoff; Michael E. Mackay; Sheldon A. Hewlett – Journal of Chemical Education, 2024
Upper-division undergraduate students are introduced to polymer processing using material extrusion fused filament fabrication 3D printing to make poly(lactic acid) (PLA) mechanical testing specimens. Computer aided design and slicing software packages are used to demonstrate the process of preparing 3D computer models for printing. Following the…
Descriptors: Plastics, Mathematical Models, Printing, Computer Peripherals
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VanLehn, Kurt; Banerjee, Chandrani; Milner, Fabio; Wetzel, Jon – International Journal of Artificial Intelligence in Education, 2020
An algebraic model uses a set of algebra equations to precisely describe a situation. Constructing such models is a fundamental skill required by US standards for both math and science. It is usually taught with algebra word problems. However, many students still lack the skill, even after taking several algebra courses in high school and college.…
Descriptors: Mathematics Instruction, Algebra, Mathematical Models, Equations (Mathematics)
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