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Lee, Ji-Eun; Lee, Mi Yeon – International Journal of Science and Mathematics Education, 2020
This study is an investigation of elementary preservice teachers' (PSTs') exploration of model breaking points in fractions. Eighty-three PSTs at two universities in the Midwestern and Southwestern regions of the USA were asked to explore the area model of fraction addition through a series of tasks and explain their reasoning in determining its…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Instruction, Fractions
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Eskelson, Samuel L.; Townsend, Brian E.; Hughes, Elizabeth K. – Mathematics Teacher: Learning and Teaching PK-12, 2021
In this article, the authors describe their experiences with planning, implementing, and revising a lesson for which the goal is for students to consider the mathematical and pragmatic issues that are related to a task of maximizing the area for a fixed perimeter. The authors also wanted students to engage in the Standards for Mathematical…
Descriptors: Geometric Concepts, Mathematics Instruction, Elementary School Mathematics, Middle School Mathematics
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Albarracín, Lluís – Early Childhood Education Journal, 2021
This study presents a teaching experiment in which second-grade primary school students compared a city and a town according to population estimates. The activities were presented to them as Fermi problems and required an analysis of the reality to identify sub-problems that students could deal with. The students' products were analyzed from the…
Descriptors: Grade 2, Elementary School Students, Mathematics Instruction, Mathematical Models
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Muppala, Siva P. R.; Chandramohan, Balasubramanyam – Education Quarterly Reviews, 2021
We propose a new approach to classroom learning based on sequential numeral-division. It builds on the concept of trichotomy -- division of students based on creamy-level, middle-level and weaker-level students -- proposed by the present authors. A sequenced series of formative assessments can map student progress and achievement, particularly in…
Descriptors: Large Group Instruction, Ability Grouping, Formative Evaluation, Student Evaluation
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Durandt, Rina – Pythagoras, 2021
This article sets out design principles to consider when student mathematics teachers are expected to learn mathematical modelling during their formal education. Blum and Leiß's modelling cycle provided the theoretical framework to explain the modelling process. Learning to teach mathematical modelling, and learning to solve modelling tasks, while…
Descriptors: Mathematical Models, Preservice Teachers, Preservice Teacher Education, Mathematics Instruction
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Busrah, Zulfiqar; Pathuddin, Hikmawati – Journal of Research and Advances in Mathematics Education, 2021
Ethnomathematics can empirically improve the cognitive abilities of students in elementary and secondary schools. However, in undergraduate study, there are still limited studies on integrating ethnomathematics in learning resources. This study aims to apply interpolation in modelling polynomial functions and integral volume on the shape of…
Descriptors: Foreign Countries, Ethnography, Mathematics Education, College Mathematics
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Singh, Mahua – Australian Mathematics Education Journal, 2021
In 2020, Year 12 students at John Curtin College of the Arts, were required to model COVID-19 data from five different countries in order to find correlations between daily infections and unemployment rates, in order to make future predictions. Work received from students demonstrated how the task successfully provided unique learning…
Descriptors: Mathematical Models, Mathematics Instruction, High School Students, Grade 12
Enakshi Saha – ProQuest LLC, 2021
We study flexible Bayesian methods that are amenable to a wide range of learning problems involving complex high dimensional data structures, with minimal tuning. We consider parametric and semiparametric Bayesian models, that are applicable to both static and dynamic data, arising from a multitude of areas such as economics, finance and…
Descriptors: Bayesian Statistics, Probability, Nonparametric Statistics, Data Analysis
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Rellensmann, Johanna; Schukajlow, Stanislaw; Blomberg, Judith; Leopold, Claudia – Mathematical Thinking and Learning: An International Journal, 2023
We investigated how students' strategic knowledge about situational (pictorial) drawings and mathematical (schematic) drawings affects drawing accuracy and modeling competencies in the domain of geometry. We conducted a pre-posttest experimental study with 473 students in grade 9. Students were randomly assigned to one of three treatment…
Descriptors: Geometry, Mathematics Instruction, Accuracy, Freehand Drawing
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Makar, Katie; Allmond, Sue – ZDM: The International Journal on Mathematics Education, 2018
Children have limited exposure to statistical concepts and processes, yet researchers have highlighted multiple benefits of experiences in which they design and/or engage informally with statistical modelling. A study was conducted with a classroom in which students developed and utilised data-based models to respond to the inquiry question,…
Descriptors: Statistics, Mathematical Models, Prediction, Statistical Distributions
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Baysal, Esra; Sevinc, Serife – International Journal of Mathematical Education in Science and Technology, 2022
This study investigated the role of the bar model method, a significant aspect of the Singapore mathematics curriculum, in the remediation of seventh-grade students' errors on algebra word problems. To accomplish this purpose, we first assessed students' errors on a written test involving algebra problems and identified ten students based on the…
Descriptors: Grade 7, Word Problems (Mathematics), Mathematics Instruction, Error Patterns
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Aydogan Yenmez, Arzu – International Online Journal of Education and Teaching, 2022
Quantitative reasoning is defined as reasoning about relationships between items, measurements of objects, and quantities rather than numbers. Both in the transition from arithmetic to algebra and in the problem-solving process, quantitative reasoning is seen as a critical instrument for the development of students' mathematical skills. In the…
Descriptors: Problem Solving, Thinking Skills, Correlation, Arithmetic
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Pérez Martínez, Helen Mariel; Cuevas-Vallejo, Carlos A.; Islas Ortiz, Erasmo; Orozco-Santiago, José – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
In this paper, we present the development of an investigation on the promotion of covariational reasoning in high school students (14-15 years old) in Mexico. The study consists of designing and applying a sequence of didactic activities that simulate a real situation virtually. The activities are organized through a Hypothetical Learning…
Descriptors: Thinking Skills, Mathematics Instruction, High School Students, Learning Trajectories
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Hidiroglu, Çaglar Naci – Journal of Pedagogical Research, 2022
This study adopts a holistic single-case design to explain the task design processes of mathematics student teachers (MSTs) regarding History, Theory, Technology, and Modeling (HTTM). A criterion sampling method was used to select nine MSTs who had successfully completed "algorithms and programming" course. Video analyses, written answer…
Descriptors: Mathematics Teachers, Student Teachers, Instructional Design, Mathematics Instruction
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Passarella, Simone – Research in Mathematics Education, 2022
This paper reports on a teaching experiment on mathematical modelling in an upper secondary school class that investigates how the constructs of "model eliciting" and "emergent modelling" may be brought together to inform teaching and learning. A prominent role is covered by the process of task design, seen as a complex process…
Descriptors: Case Studies, Teaching Methods, Learning Processes, Mathematics Instruction
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