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Karina Nuñez-Gutierrez; Camilo Andrés Rodríguez-Nieto; Lisseth Correa-Sandoval; Vicenç Font Moll – International Electronic Journal of Mathematics Education, 2025
The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla,…
Descriptors: High School Students, Thinking Skills, Mathematics Instruction, Task Analysis
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Fadime Ulusoy; Hanife Merve Erdogan; Nagihan Haliloglu; Damla Ceren Bakirci – International Journal for Mathematics Teaching and Learning, 2025
Mathematization is a critical competency in the modelling process. This study aims to elicit prospective mathematics teachers' mathematizing through the analysis of their solution approaches to a modelling problem related to the bales of straw. This study was conducted with 75 fourth-year prospective mathematics teachers (PMTs) enrolled in a…
Descriptors: Mathematics Instruction, Mathematical Models, Preservice Teachers, Teacher Education Programs
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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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Keisar, Einav; Peled, Irit – Research in Mathematics Education, 2018
Children in a first-grade class who were taking their first steps in formal mathematical knowledge were given a sequence of five modelling tasks during their regular mathematics lessons. These tasks were different in nature from the problems they encountered in their textbooks. They are more complex and challenging, requiring analysis of the…
Descriptors: Grade 1, Sequential Approach, Task Analysis, Mathematics Activities
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Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç – International Journal of Mathematical Education in Science and Technology, 2017
In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…
Descriptors: Foreign Countries, College Freshmen, Engineering Education, Mathematical Models
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Hastuti, Intan Dwi; Nusantara, Toto; Subanji; Susanto, Hery – Educational Research and Reviews, 2016
This study aims to describe the constructive metacognitive activity shift of eleventh graders in solving a mathematical problem. Subjects in this study were 10 students in grade 11 of SMAN 1 Malang. They were divided into 4 groups. Three types of metacognitive activity undertaken by students when completing mathematical problem are awareness,…
Descriptors: Foreign Countries, Metacognition, High School Students, Grade 11
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Valdez, Pablo; Reilly, Thomas; Waterhouse, Jim – Mind, Brain, and Education, 2008
Cognitive performance is affected by an individual's characteristics and the environment, as well as by the nature of the task and the amount of practice at it. Mental performance tests range in complexity and include subjective estimates of mood, simple objective tests (reaction time), and measures of complex performance that require decisions to…
Descriptors: Reaction Time, Mathematical Models, Academic Achievement, Performance Tests
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Liljedahl, Peter, Ed.; Nicol, Cynthia, Ed.; Oesterie, Susan, Ed.; Allan, Darien, Ed. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine…
Descriptors: Foreign Countries, Mathematics Education, Educational Psychology, Educational Research
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Cotton, John W.; And Others – American Educational Research Journal, 1977
The definition of hierarchical structure is reviewed, together with psychometric and experimental evidence regarding the existence of specific structures. A mathematical model including hierarchical and nonhierarchical options for a two component task is presented, along with an experimental design appropriate for testing the model and related…
Descriptors: Curriculum Development, Difficulty Level, Learning Processes, Learning Theories