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Tasova, Halil I.; Moore, Kevin C. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
In this study, based on the analysis of a teaching experiment with middle school students, we propose a framework for describing meanings of a point represented on a plane in terms of multiplicative objects in the context of graphing. We classify those meanings as representing: (1) non-multiplicative objects; (2) quantitative multiplicative…
Descriptors: Middle School Students, Multiplication, Graphs, Mathematics Instruction
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Lee, Hwa Young; Hardison, Hamilton L.; Kandasamy, Sindura; Guajardo, Lino – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
In this report, we present how one prospective elementary teacher (PT) engaged in the Ant Farm Task, which we designed to investigate PTs' reasoning about coordinate systems. We highlight the cognitive resources the PT drew upon in solving the task via the establishment of a Cartesian coordination and consider educational implications. [For the…
Descriptors: Preservice Teachers, Elementary School Teachers, Cognitive Processes, Geometry
Nicula, Bogdan; Perret, Cecile A.; Dascalu, Mihai; McNamara, Danielle S. – Grantee Submission, 2020
Theories of discourse argue that comprehension depends on the coherence of the learner's mental representation. Our aim is to create a reliable automated representation to estimate readers' level of comprehension based on different productions, namely self-explanations and answers to open-ended questions. Previous work relied on Cohesion Network…
Descriptors: Network Analysis, Reading Comprehension, Automation, Artificial Intelligence
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Sebastian Becker; Lynn Knippertz; Stefan Ruzika; Jochen Kuhn – Physical Review Physics Education Research, 2023
Linear functions are an essential part of school and university education. Nevertheless, this topic is challenging for many students--especially in STEM topics. In this article, we contribute to the understanding of learning difficulties in the context of mathematical and physical problems. Here, we present the results of an eye-tracking study on…
Descriptors: Persistence, Context Effect, Learning Strategies, Eye Movements
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Kate Quane; Carolyn Buhren – Australian Mathematics Education Journal, 2023
It is widely acknowledged that communicating mathematical thinking is complex, difficult, and often messy. In this article, the authors explore how mathematical thinking is communicated, providing examples of strategies for teachers and students to use in the mathematics classroom.
Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, Learning Strategies
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Donegan, Sarah; Dias, Sofia; Tudur-Smith, Catrin; Marinho, Valeria; Welton, Nicky J. – Research Synthesis Methods, 2018
Background: Meta-regression results must be interpreted taking into account the range of covariate values of the contributing studies. Results based on interpolation or extrapolation may be unreliable. In network meta-regression (NMR) models, which include covariates in network meta-analyses, results are estimated using direct and indirect…
Descriptors: Graphs, Networks, Meta Analysis, Regression (Statistics)
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Rojas, Roberto; Robles, Patricio – Physics Teacher, 2018
Two bodies initially at different temperatures gathered into an isolated container exchange heat and reach an equilibrium state with a common final temperature. During the process, the system is out of equilibrium and its intermediate temperature is not well defined. By conceiving a quasi-static process with infinitesimal steps from the initial to…
Descriptors: Physics, Science Instruction, Heat, Teaching Methods
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Roth, Wolff-Michael – ZDM: The International Journal on Mathematics Education, 2018
Scholars interested in the function of language in mathematical learning often draw on Vygotsky, whose early work on word meaning has shaped many research studies. However, near the end of a rather short life, Vygotsky heavily critiqued his own previous work and began to sketch a radical theory revision, which overturns much of what he had done…
Descriptors: Language Role, Mathematics Education, Educational Theories, Graphs
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Nurrahmawati; Sa'dijah, Cholis; Sudirman; Muksar, Makbul – International Journal of Evaluation and Research in Education, 2021
Translation skills are very important possessed by students, but currently, there are still many students who have difficulty in translating between representations. The purpose of this study is to analyze students' errors in translating from symbolic representations to verbal and graphic representations. This research was descriptive study with…
Descriptors: Foreign Countries, Junior High School Students, Mathematics Skills, Error Patterns
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Garimella, Umadevi; Sahin, Nesrin – Science Teacher, 2021
One way to develop a cross-curricular lesson is to select the most common mathematical formulas used in science and carefully develop and implement tasks that allow students to make connections between the mathematical representations and theoretical/physical science concepts. The slope-intercept formula, which is used to study relationships…
Descriptors: Science Instruction, Thermodynamics, Mathematical Formulas, Mathematical Concepts
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Frank, Kristin – Mathematics Teacher: Learning and Teaching PK-12, 2021
This article explains how explorations into the quadratic formula can offer students opportunities to learn about the structure of algebraic expressions. In this article, the author leverages the graphical interpretation of the quadratic formula and describes an activity in which students derive the quadratic formula by quantifying the symmetry of…
Descriptors: Mathematics Instruction, Mathematical Formulas, Algebra, Teaching Methods
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Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2021
Many students do not have a deep understanding of slope. This paper defines what a deep understanding of slope is in terms of mathematics-education theory. The various factors which help explain why such a deep understanding is difficult to acquire are then discussed. These factors include the following: the different representations for slope;…
Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, College Freshmen
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Arteaga, Pedro; Díaz-Levicoy, Danilo; Batanero, Carmen – Statistics Education Research Journal, 2021
The aim of this research was to describe the errors and reading levels that 6th and 7th grade Chilean primary school children reach when working with line graphs. To achieve this objective, we gave a questionnaire, previously validated by experts with two open-ended tasks, to a sample of 745 students from different Chilean cities. In the first…
Descriptors: Foreign Countries, Elementary School Students, Middle School Students, Grade 6
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Metz, Irene K.; Bennett, Joseph W.; Mason, Sara E. – Journal of Chemical Education, 2021
While computational chemistry continues to play a growing role in chemical research, issues with access and the timing of when these tools are introduced to chemistry students remain as barriers to wider interest and use. The accessibility of free software for chemical modeling has increased in recent years, promoting the inclusion of…
Descriptors: Chemistry, Computation, Introductory Courses, Open Source Technology
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Gold, Anne U.; Atkins, Rachel; McNeal, Karen S. – Scholarship and Practice of Undergraduate Research, 2021
Research Experiences for Undergraduate (REU) programs often introduce students to scientific research and STEM career possibilities. However, the program impact on students and their research skill development is not well understood. In a case study with 10 REU students, the authors used eye-tracking and self-report data to determine student…
Descriptors: Undergraduate Students, Graphs, Data Interpretation, Scientific Research
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