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Lauren K. Schiller; Roberto A. Abreu-Mendoza; Miriam Rosenberg-Lee – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2024
Decimal numbers are generally assumed to be a straightforward extension of the base-ten system for whole numbers given their shared place value structure. However, in decimal notation, unlike whole numbers, the same magnitude can be expressed in multiple ways (e.g., 0.8, 0.80, 0.800, etc.). Here, we used a number line task with carefully selected…
Descriptors: Arithmetic, Computation, Numbers, Bias
Katherine Williams; Chenmu Xing; Kolbi Bradley; Hilary Barth; Andrea L. Patalano – Journal of Numerical Cognition, 2023
Recent work reveals a left digit effect in number line estimation such that adults' and children's estimates for three-digit numbers with different hundreds-place digits but nearly identical magnitudes are systematically different (e.g., 398 is placed too far to the left of 401 on a 0-1000 line, despite their almost indistinguishable magnitudes;…
Descriptors: Computation, Visual Aids, Feedback (Response), Undergraduate Students
Benjamin Tatira – Mathematics Teaching Research Journal, 2024
Solving systems of linear equations is a core concept in linear algebra and a wide variety of problems found in the sciences and engineering can be formulated as linear equations. This study sought to explore undergraduate students' development of the schema for solving systems of linear equations. The triad framework was used to describe the…
Descriptors: Mathematics Instruction, Teaching Methods, Schemata (Cognition), Problem Solving
Oliveira, Vitor – Physics Education, 2022
We discuss the limits of the equation of the period of a simple pendulum, T[subscript s] = 2[pi][square root]l/g, frequently used in high-school and university classrooms to measure the acceleration of gravity. We evaluate the relative error in determining the acceleration of gravity with this simple equation instead of a more realistic one,…
Descriptors: Physics, Teaching Methods, Science Instruction, Accuracy
Zhang, Lei; Mou, Weimin; Lei, Xuehui; Du, Yu – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2020
This study investigated when the Bayesian cue combination of piloting and path integration occurs in human homing behaviors. The Bayesian cue combination was hypothesized to occur in estimating the home location or self-localization. In Experiment 1, the participants learned the locations of 5 objects (1 located at the learning position) in the…
Descriptors: Cues, Geographic Location, Navigation, College Students
Lee, Hea-Jin; Boyadzhiev, Irina – International Electronic Journal of Mathematics Education, 2020
This study investigated understanding of and misconceptions with fractions in college students enrolled in a remedial mathematics course. Data were collected from 22 college students for one semester. The analysis of 41 fraction problems revealed that participants' common misconceptions were associated with a lack of understanding of basic…
Descriptors: College Students, College Mathematics, Mathematics Skills, Misconceptions
Çibik, Naz Fulya; Boz-Yaman, Burçak – Science Activities: Projects and Curriculum Ideas in STEM Classrooms, 2022
The purpose of this paper is to integrate mathematical modeling and ecology by presenting an activity involving an authentic environmental problem, which is called "Pine Processionary Caterpillars Invasion." Adopting Mathematical Modeling and Education for Climate Action (EfCA) approaches, it was aimed to encourage pre-service teachers…
Descriptors: Mathematical Models, Ecology, Climate, Problem Solving
Young, Nicholas T.; Caballero, Marcos D. – Journal of Educational Data Mining, 2021
We encounter variables with little variation often in educational data mining (EDM) due to the demographics of higher education and the questions we ask. Yet, little work has examined how to analyze such data. Therefore, we conducted a simulation study using logistic regression, penalized regression, and random forest. We systematically varied the…
Descriptors: Prediction, Models, Learning Analytics, Mathematics
Powell, Sarah R.; Nelson, Gena – Psychology in the Schools, 2021
To understand misconceptions with rational numbers (i.e., fractions, decimals, and percentages), we administered an assessment of rational numbers to 331 undergraduate students from a 4-year university. The assessment included 41 items categorized as measuring foundational understanding, calculations, or word problems. We coded each student's…
Descriptors: Undergraduate Students, Misconceptions, Number Concepts, Numbers
Ian Thacker; Hannah French; Shon Feder – International Journal of Science Education, 2025
Presenting novel numbers about climate change to people after they estimate those numbers can shift their attitudes and scientific conceptions. Prior research suggests that such science learning can be supported by encouraging learners to make use of given benchmark information, however there are several other numerical estimation skills that may…
Descriptors: Climate, Computation, College Students, Hispanic American Students
Segura, Carlos; Ferrando, Irene – Education Sciences, 2021
Fermi problems are useful for introducing modelling in primary school classrooms, although teachers' difficulties in problem solving may hinder their successful implementation. These difficulties are associated with the modelling process, but also with the estimation and measurement skills required by Fermi problems. In this work, a specific…
Descriptors: Error Patterns, Problem Solving, Preservice Teachers, Elementary School Teachers
Rodríguez-Nieto, Camilo Andrés; Font, Vicenç; Rodríguez-Vásquez, Flor Monserrat; Pino-Fan, Luis Roberto – Journal on Mathematics Education, 2023
An onto-semiotic analysis of the mathematical connections established by one in-service mathematics teachers and university students when solving a problem about launching a projectile using the derivative was carried out. Theoretically, this research was based on the articulation between the Extended Theory of Mathematical Connections and the…
Descriptors: Mathematics Instruction, Semiotics, Teaching Methods, Task Analysis
Alnajashi, Sumyah – Journal of Cognitive Education and Psychology, 2021
This study aims to examine the differences in numerosity estimation on a right-to-left number line between second- to fourth-grade students and undergraduate students, together with whether number-line estimation is related to basic arithmetic tasks (addition and subtraction). Hence, 53 Arabic-speaking children and 63 Arabic-speaking adults…
Descriptors: Computation, Grade 2, Grade 3, Grade 4
Li, Xia – Early Education and Development, 2021
Research Findings: The aim of this study was to investigate U.S. preschool teachers' math teaching knowledge in a specific content domain: counting and numbers. One hundred in-service and pre-service teachers participated in the study; they completed a questionnaire that is composed of learning scenarios and scenario-based math teaching questions.…
Descriptors: Preschool Teachers, Preservice Teachers, Graduate Students, Undergraduate Students
Joshua, Surani; Lee, Mi Yeon – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
We investigated how pre-service teachers (PSTs) interpret their calculations in proportional tasks. A written questionnaire was administrated to 199 PSTs and an inductive content analysis approach used for data analysis. We found that one item that asked PSTs to interpret the meaning of their results had unusually low success; open coding on the…
Descriptors: Preservice Teachers, Computation, Mathematical Concepts, Mathematical Logic