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Suzanne Harper; Dana Cox – National Council of Teachers of Mathematics, 2023
Modernizing mathematics refers to the idea that teachers should rethink how mathematics has traditionally been taught in schools by making rich tasks and collaboration the focus of instruction and promoting opportunities for active learning. "Modern Math Tasks to Provoke Transformational Thinking" presents carefully crafted tasks that…
Descriptors: Mathematics Instruction, Teaching Methods, Educational Change, Active Learning
Fielding-Wells, Jill – ZDM: The International Journal on Mathematics Education, 2018
An important use of statistical models and modeling in education stems from the potential to involve students more deeply with conceptions of distribution, variation and center. As models are key to statistical thinking, introducing students to modeling early in their schooling will likely support the statistical thinking that underpins later,…
Descriptors: Mathematical Concepts, Statistics, Mathematical Models, Children
Frejd, Peter; Bergsten, Christer – ZDM: The International Journal on Mathematics Education, 2018
The notion of mathematical modelling has multiple interpretations in research literature and has been included in curriculum documents in various ways. This study presents a thematic analysis of nine professional modellers' conceptions of the notion of mathematical modelling, representing scholarly knowledge. The result is organised according to…
Descriptors: Mathematical Models, Mathematics Instruction, Curriculum Design, Teaching Methods
Polotskaia, Elena; Savard, Annie; Nadon, Catherine – For the Learning of Mathematics, 2021
Research in mathematics education suggests that learning to solve a problem should involve modelling and visual representation (e.g., Lesh & Zawojewski, 2007). According to researchers, transforming a mental representation of a situation into a visual representation of mathematical relationships between quantities enhances students'…
Descriptors: Mathematics Education, Mathematics Skills, Problem Solving, Mathematical Models
Thomas, Michael L.; Brown, Gregory G.; Patt, Virginie M.; Duffy, John R. – Educational and Psychological Measurement, 2021
The adaptation of experimental cognitive tasks into measures that can be used to quantify neurocognitive outcomes in translational studies and clinical trials has become a key component of the strategy to address psychiatric and neurological disorders. Unfortunately, while most experimental cognitive tests have strong theoretical bases, they can…
Descriptors: Adaptive Testing, Computer Assisted Testing, Cognitive Tests, Psychopathology
Ramírez-Montes, Guillermo; Henriques, Ana; Carreira, Susana – Canadian Journal of Science, Mathematics and Technology Education, 2021
Mathematical modelling has acquired relevance at all educational levels in the last decades since integrating this activity in instruction provides significant contexts for improving students' learning, including in linear algebra courses that have a notable presence in many undergraduate courses from different fields, including engineering and…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Teaching Methods
Turner, Erin E.; Chen, Mei-Kuang; Roth McDuffie, Amy; Smith, James E.; Aguirre, Julia; Foote, Mary Q.; Bennett, Amy Been – School Science and Mathematics, 2021
While research suggests that mathematical modeling is accessible to elementary grade students, questions remain about how to assess modeling competency. Our research addresses this need through the systemic design and empirical testing of a Mathematical Modeling Student Assessment (MMSA) for elementary grades 3 through 5. Research questions focus…
Descriptors: Elementary School Students, Mathematical Models, Grade 3, Grade 4
Gosztonyi, Katalin – Educational Studies in Mathematics, 2021
In this article, I present the eighteenth century's polemic of Bernoulli and d'Alembert concerning the smallpox epidemic and a prevention method called inoculation. Through an analysis of the polemic and the related resources, I show that this historical debate has various interests for mathematics education; and more specifically it can help…
Descriptors: Educational History, Pandemics, Communicable Diseases, Mathematics Education
Hernandez-Martinez, Paul; Thomas, Stephanie; Viirman, Olov; Rogovchenko, Yuriy – International Journal of Mathematical Education in Science and Technology, 2021
Using Cultural-Historical Activity Theory, we analyze lecturers' views on the aims and teaching practices of mathematical modelling (MM) education in Norway and England. We aim to expose the tensions that exist within the activity of teaching MM at university, such as those between multiple, sometimes competing, aims for teaching MM, or between…
Descriptors: Mathematics Teachers, Mathematics Instruction, Teaching Methods, Teacher Attitudes
Kristayulita – Malikussaleh Journal of Mathematics Learning, 2021
If using different instruments obtained a different analogical reasoning component. With use people-piece analogies, verbal analogies, and geometric analogies, have analogical reasoning component consists of encoding, inferring, mapping, and application. Meanwhile, with use analogical problems (algebra, source problem and target problem is equal),…
Descriptors: Logical Thinking, Foreign Countries, Problem Solving, Mathematical Models
Abernethy, Gavin M. – International Journal of Mathematical Education in Science and Technology, 2021
A discrete model of invasion by subversive alien bodysnatchers is constructed and analysed numerically as a proposed undergraduate project. Several extensions of the model are demonstrated, including a spatial system of ten planets arranged on a one-dimensional lattice, and we discuss some of the practical considerations that arise when…
Descriptors: Undergraduate Students, Space Sciences, Supervision, Student Projects
Umbara, Uba; Wahyudin, Wahyudin; Prabawanto, Sufyani – EURASIA Journal of Mathematics, Science and Technology Education, 2021
This article discusses Cigugur indigenous communities' custom in carrying out calculation practices to determine the best time to start house construction activities. The realist ethnography approach was used in this study through exploratory research. The ethnomathematics design adopted four elements: generic questions, initial answers, critical…
Descriptors: Foreign Countries, Indigenous Populations, Indigenous Knowledge, Mathematics Instruction
Xu, Binyan; Lu, Xiaoli; Yang, Xinrong; Bao, Jiansheng – ZDM: Mathematics Education, 2022
Mathematical modelling has been included in many mathematics curricula worldwide, and China's curricula are no exception. The development of modelling competencies has recently been listed among the Chinese mathematics curriculum's six key objectives. However, the manner in which nationwide learning and teaching of modelling should be conducted…
Descriptors: Mathematical Models, Mathematics Curriculum, Foreign Countries, Mathematics Teachers
Krawitz, Janina; Chang, Yu-Ping; Yang, Kai-Lin; Schukajlow, Stanislaw – Educational Studies in Mathematics, 2022
To solve mathematical modelling problems, students must translate real-world situations, which are typically presented in text form, into mathematical models. To complete the translation process, the problem-solver must first understand the real-world situation. Therefore, reading comprehension can be considered an essential part of solving…
Descriptors: Reading Comprehension, Mathematical Models, Cross Cultural Studies, Grade 9
Geiger, Vince; Galbraith, Peter; Niss, Mogens; Holland-Twining, Ben – Mathematics Education Research Group of Australasia, 2022
Competency with mathematical modelling is increasingly important for career and informed and engaged participation in personal, civic and work life. In this paper we report on an aspect of a three-year longitudinal study that aimed to identify and describe enablers of mathematical modelling. Teacher interview data has been drawn upon to exemplify…
Descriptors: Mathematical Models, Mathematics Skills, Skill Development, Competence