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AsKew, A.; Kennedy, K.; Klima, V. – PRIMUS, 2018
In this article we discuss relationships between the cyclic group Z[subscript 12] and Western tonal music that is embedded in a 12-note division of the octave. We then offer several questions inviting students to explore extensions of these relationships to other "n"-note octave divisions. The answers to most questions require only basic…
Descriptors: Arithmetic, Music Theory, Correlation, Numbers
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Pfannkuch, Maxine; Ben-Zvi, Dani; Budgett, Stephanie – ZDM: The International Journal on Mathematics Education, 2018
Statistical modeling is emerging as a fertile research environment in which to promote and learn about student statistical reasoning processes. We outline a paradigm shift toward a modeling perspective that is occurring in statistics education research and how statistical modeling processes involve connecting data, chance and context. The…
Descriptors: Statistics, Teaching Methods, Mathematical Models, Mathematics Instruction
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Dvir, Michal; Ben-Zvi, Dani – ZDM: The International Journal on Mathematics Education, 2018
The goal of this study is to explore the role of model comparison, which is a key activity of young learners' informal reasoning, with statistical models and modeling in the context of informal statistical inference. We suggest a framework to describe this reasoning (the RISM framework), and offer an illustrative case study of two-sixth graders…
Descriptors: Mathematical Models, Statistics, Mathematics Instruction, Case Studies
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Lovric, Miroslav – PRIMUS, 2018
We discuss teaching and learning situations that surfaced when computer programming and mathematics were brought together in a course where students write computer code to explore mathematics problems. Combining programming and mathematics creates a rich ecosystem which, on top of traditional mathematics activities (writing solutions, proofs,…
Descriptors: Programming, Mathematics Instruction, College Mathematics, Problem Solving
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Ikeda, Toshikazu – ZDM: The International Journal on Mathematics Education, 2018
Recognizing the roles of mathematics in society is an important goal for the teaching and learning of mathematical modelling. The Likert-scales method is a simple and effective tool to assess student appreciation about the utility of mathematics; however, it does not reveal the detailed aspects of student perceptions of the roles of mathematics in…
Descriptors: Student Attitudes, Mathematical Models, Relevance (Education), Social Attitudes
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de Almeida, Lourdes Maria Werle – ZDM: The International Journal on Mathematics Education, 2018
This paper aims to investigate the following question: How do students use mathematics in modeling activities? With this purpose, the paper reports on mathematization and use of mathematics, and deals with empirical data with focus on modeling activities performed by students in the first year and in the fourth year of a degree in mathematics.…
Descriptors: Mathematics Instruction, Mathematical Models, Mathematics Activities, Qualitative Research
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Stender, Peter – ZDM: The International Journal on Mathematics Education, 2018
For students working on realistic complex modelling problems as autonomously as possible the support by a tutor is indispensable for the students. However, how this support can be realised is still a question that has not been sufficiently answered. Based on prior research, it turned out that teacher interventions based on heuristic strategies…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Heuristics
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Murray, Eileen – Research in Mathematics Education, 2018
Mathematics educators advocate for the use of models as an instructional practice that can potentially aid in building students' understanding of difficult topics. Integers and integer operations are historically problematic for students and are critically important in both arithmetic and the future study of algebra. In this chapter, I explore one…
Descriptors: Mathematical Models, Numbers, Mathematics Instruction, Problem Solving
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Shang, Hao – Journal of Chemical Education, 2021
Here, we present an interdisciplinary educational project intended for high school chemistry that is focused on the establishment of a mathematical model to describe the relationship between conductivity and concentration, while linking chemistry to mathematics with the help of computer software. The project was designed to help high school…
Descriptors: Science Instruction, Chemistry, Teaching Methods, Mathematics Instruction
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Nelson, Mark Ian – International Journal of Mathematical Education in Science and Technology, 2021
A textbook model of a contagious disease, the dynamics of which are represented by the SIS epidemic model with saturating treatment, is considered. I show that this model, as originally formulated, is not dimensionally consistent. The model can be fixed by including a dimensional constant [alpha] of value one (with units individuals[superscript…
Descriptors: Textbooks, Models, Communicable Diseases, Epidemiology
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Urbanowski, Vincent – Mathematics Teacher: Learning and Teaching PK-12, 2022
This article describes a modeling project the author did with his algebra, geometry, and applications students in grades 9, 10, and 11 as an enrichment and exploration of an extremely relevant real-world phenomenon and introduction to the adult profession of epidemiologist. With discussion and exploration, this project consumed two periods of 88…
Descriptors: Pandemics, COVID-19, Spreadsheets, Epidemiology
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Suh, Jennifer M.; Tate, Holly; Rossbach, Maryanne; Green, Samara; Matson, Kathy; Aguirre, Julia; Seshaiyer, Padhu; Steen, Sam – Mathematics Teacher Educator, 2023
This article details the development of design principles to support teachers in planning for a Community-Based Mathematical Modeling task with a focus on social justice in the elementary grades. By reflecting on the dilemmas we encountered in the design and enactment of the tasks, we developed five design principles that allowed us to address…
Descriptors: Mathematics Instruction, Mathematical Models, Social Justice, Elementary School Students
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Asempapa, Reuben S. – International Journal of Assessment Tools in Education, 2020
This study addresses a gap in the literature on mathematical modeling education by developing the mathematical modeling knowledge scale (MMKS). The MMKS is a quantitative tool created to assess teachers' knowledge of the nature of mathematical modeling. Quantitative instruments to measure modeling knowledge is scare in the literature partially due…
Descriptors: Mathematical Models, Knowledge Level, Teacher Characteristics, Test Construction
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Pierson, Ashlyn E.; Brady, Corey E.; Clark, Douglas B. – Journal of Science Education and Technology, 2020
This paper describes the work done by sixth grade students to achieve and sustain productive and personally meaningful lines of inquiry with computational models. The capacity to frame interactions with tools as dialogic exchanges with co-participants is a productive practice for disciplinary engagement in science and for computational thinking…
Descriptors: STEM Education, Thinking Skills, Self Concept, Personal Autonomy
Ural, Alattin – Online Submission, 2020
This study aims to compare mathematical modelling abilities of prospective mathematics teachers. 38 Turkish prospective mathematics teachers studying at the Department of Primary Mathematics Education and 26 English prospective mathematics teachers studying at Initial Mathematics Teacher Education Program of the Graduate School of Education…
Descriptors: Foreign Countries, Mathematical Models, Preservice Teachers, Preservice Teacher Education
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