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Ferrarello, Daniela; Gionfriddo, Mario; Grasso, Federico; Mammana, Maria Flavia – ZDM: Mathematics Education, 2022
The objective of this work is to show an educational path for combinatorics and graph theory that has the aim, on one hand, of helping students understand some discrete mathematics properties, and on the other, of developing modelling skills through a robust understanding. In particular, for the path proposed to middle-school students, we used a…
Descriptors: Graphs, Mathematics, Mathematical Models, Middle School Students
Mireia Brunet-Biarnes; Lluís Albarracín – Mathematics Education Research Journal, 2024
Previous research has highlighted the importance of social relationships in mathematical group work while working on modelling activities. This study analyses the interaction of sixth-grade students in Primary Education (11 to 12 years old) carrying out a modelling task in groups with a Fermi problem used as the modelling activity. The focus of…
Descriptors: Mathematics Instruction, Elementary School Students, Grade 6, Task Analysis
Alex Greenwood; Rose Mary Zbiek; Amy Brass – Mathematics Teacher: Learning and Teaching PK-12, 2024
The Cell Phone modeling task centers on a Fermi real-world estimation question. The task and rubric can be used at different grade levels to focus on the modeling process and classroom community. Finding time and space to engage students, especially novice modelers, in mathematical modeling can be a challenge, yet the benefits of modeling are…
Descriptors: Mathematical Models, Teaching Methods, Mathematics Instruction, Telecommunications
Böswald, Valentin; Schukajlow, Stanislaw – ZDM: Mathematics Education, 2023
According to expectancy-value models, two important motivational constructs are task value and self-efficacy expectations. As students work intensively on mathematical problems in the classroom, teachers need the competence to judge whether students value solving the problem and how confident they are that they will succeed. However, not much is…
Descriptors: Mathematics Instruction, Problem Solving, Value Judgment, Self Esteem
Brady, Corey; Jung, Hyunyi – Educational Studies in Mathematics, 2022
Though there is an extensive research literature on understanding and assessing individual modeling competencies, less attention has been given to characterizing the social context of the classroom in which modeling occurs. Yet a classroom's culture of modeling--its negotiated system of beliefs and values about the nature of modeling and what…
Descriptors: Mathematical Models, Classroom Environment, School Culture, Mathematics Education
Zehra Taspinar Sener; Yüksel Dede – Irish Educational Studies, 2024
This study aims to reveal how model eliciting principles are used in the process of designing, applying, and evaluating teacher candidates' model-eliciting activities. This study was conducted in three stages in a multi-tiered teaching experiment. Firstly, 15 teacher candidates designed activities for Grade 7 students after they were trained on…
Descriptors: Grade 7, Mathematical Models, Mathematics Instruction, Preservice Teacher Education
Hänze, Martin; Leiss, Dominik – Instructional Science: An International Journal of the Learning Sciences, 2022
This study examined whether learning with heuristic worked examples can improve students' competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks),…
Descriptors: Heuristics, Competence, Problem Solving, Mathematics Instruction
Baioa, Ana Margarida; Carreira, Susana – Mathematical Thinking and Learning: An International Journal, 2023
The aim of this study is to understand how students' mathematical thinking is activated and nurtured in solving a modeling problem, where the problem situation involves the design of a system. From a STEM integrated perspective, 9th grade students worked on a modeling task aiming to create an identification system based on hand biometrics. The…
Descriptors: Mathematical Models, Mathematics Skills, Thinking Skills, Problem Solving
Sengil-Akar, Seyma; Yetkin-Ozdemir, I. Elif – International Journal of Mathematical Education in Science and Technology, 2022
This study aimed to examine the collective mathematical creativity of gifted middle school students within a group through model-eliciting activities. The current study employed the case study design. The participating four gifted students were selected through the purposive sampling technique. To examine the collective creativity of the students…
Descriptors: Mathematics Instruction, Academically Gifted, Gifted Education, Problem Solving
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
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
Rafiepour, Abolfazl; Abdolahpour, Kazem – International Society for Technology, Education, and Science, 2022
The main purpose of the current study is modifying students' daily drinking water and managing waste water through modelling activities as context and modelling cycle as tool. In this study, 12 students (13-14 years old) from the lower secondary school were participated. These students were participated in two sessions (60 minutes) each week for…
Descriptors: Secondary School Students, Mathematical Models, Water Quality, Learning Activities
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
Süleyman Emre Aktas; Çaglar Naci Hidiroglu – Journal of Pedagogical Research, 2024
The study aims to investigate prospective middle school mathematics teachers' mental actions related to debugging, which is one of the computational thinking skills in the modeling process. The study was conducted with a single-case embedded model. The collaborative working group consisted of three prospective mathematics teachers selected by…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematical Models, Mathematics Instruction
Brady, Corey E.; Borromeo Ferri, Rita; Lesh, Richard A. – Investigations in Mathematics Learning, 2022
Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Case Studies