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Fangli Xia; Mitchell J. Nathan; Kelsey E. Schenck; Michael I. Swart – Cognitive Science, 2025
Task-relevant actions can facilitate mathematical thinking, even for complex topics, such as mathematical proof. We investigated whether such cognitive benefits also occur for action predictions. The action-cognition transduction (ACT) model posits a reciprocal relationship between movements and reasoning. Movements--imagined as well as real ones…
Descriptors: Undergraduate Students, Geometry, Mathematical Concepts, Mathematics Instruction
Reader, Tracey; Larkin, Kevin; Grootenboer, Peter – Mathematics Education Research Group of Australasia, 2023
This conceptual paper discusses two frameworks, developed independently by the lead author, that will provide the conceptual foundation for the identification and evaluation of mental computation strategies students demonstrate during an upcoming research project entitled Mental Computation in Year 5. These frameworks will be used by the lead…
Descriptors: Elementary School Students, Cognitive Processes, Computation, Mathematics Instruction
Qiong Yu; Yi Ding; Yifan Wang; Chun Zhang; Akane Zusho – AERA Online Paper Repository, 2024
This study investigated the effects of working memory load (WML) and automaticity on mental addition through an examination of both task and individual characteristics within the framework of cognitive load theory. Results from 73 fourth graders showed that WML, automaticity, and their interaction had significant effects on mental addition.…
Descriptors: Short Term Memory, Mental Computation, Addition, Elementary School Students
Toney, Allison F.; Boul, Stephen D. – PRIMUS, 2022
Based on our work teaching undergraduate Calculus courses, we offer insight into teaching the chain rule to reduce cognitive load for students. A particularly difficult topic for students to grasp, problems likely arise due to student struggles with the concept of function and, particularly, function composition relative to when they first…
Descriptors: College Mathematics, Undergraduate Study, Mathematics Instruction, Difficulty Level
Singer, Florence Mihaela; Voica, Cristian – ZDM: Mathematics Education, 2022
While patterning was commonly seen as evidence of mathematical thinking, interdisciplinary interest has recently increased due to pattern-recognition applications in artificial intelligence. Within two empirical studies, we analyze the analogical-transfer capability of primary school students when completing three types of bi-dimensional patterns,…
Descriptors: Mathematical Concepts, Pattern Recognition, Elementary School Students, Cognitive Processes
Tatira, Benjamin – EURASIA Journal of Mathematics, Science and Technology Education, 2021
Undergraduate students study the topic of binomial series expansion as part of their Calculus course. The purpose of this study was to explore the mental constructions of binomial series expansion of a class of 159 students. Data were collected through a written assessment task by each member of the class. A convenient sample of eleven students…
Descriptors: Undergraduate Students, Mathematics Education, Cognitive Processes, Cognitive Structures
Psyridou, Maria; Torppa, Minna; Tolvanen, Asko; Poikkeus, Anna-Maija; Lerkkanen, Marja-Kristiina; Koponen, Tuire – Developmental Psychology, 2023
The aim of the present study was to examine the kinds of developmental profiles of arithmetic fluency skills that can be identified across Grades 1-9 (ages 7-16) in a large Finnish sample (n = 2,518). The study also examined whether membership in the developmental profiles could be predicted using a comprehensive set of kindergarten-age factors,…
Descriptors: Profiles, Arithmetic, Mathematics Skills, Elementary School Students
Ekol, George; Mlotshwa, Simphiwe – Pythagoras, 2022
This case study carried out during the 2020 coronavirus disease of 2019 (COVID-19) lockdown used online data collection means to investigate the distribution of cognitive demand levels of probability and counting principles (PCP) learning tasks in a popular online Grade 12 mathematics textbook, based on the PCP teachers' rating. The teachers'…
Descriptors: Cognitive Processes, Difficulty Level, Probability, Computation
Fitzsimmons, Charles J.; Thompson, Clarissa A.; Sidney, Pooja G. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2020
Understanding fraction magnitudes is important for achievement and in daily life. However, adults' fraction reasoning sometimes appears to reflect whole number bias and other times reflects accurate reasoning. In the current experiments, we examined how contextual factors and individual differences in executive functioning (Experiment 1),…
Descriptors: Fractions, Adults, Mathematical Logic, Knowledge Level
Fitzsimmons, Charles J.; Thompson, Clarissa A.; Sidney, Pooja G. – Grantee Submission, 2020
Understanding fraction magnitudes is important for achievement and in daily life. However, adults' fraction reasoning sometimes appears to reflect whole number bias and other times reflects accurate reasoning. In the current experiments, we examined how contextual factors and individual differences in executive functioning (Experiment 1),…
Descriptors: Fractions, Adults, Mathematical Logic, Knowledge Level
Groth, Randall E.; Jones, Matthew; Knaub, Mary – Mathematical Thinking and Learning: An International Journal, 2018
Informal best fit lines frequently appear in school curricula. Previous research collectively illustrates that the adjective informal does not translate to cognitive simplicity. Using existing literature, we create a hypothetical framework of cognitive processes associated with studying informal best fit lines. We refine the framework using data…
Descriptors: Models, Cognitive Processes, Student Attitudes, Graphs
Beisly, Amber; Davis, Jill; Lake, Vickie E.; McCombs, Brandy – Dimensions of Early Childhood, 2020
Teachers' negative experiences can be detrimental to how they teach math because their beliefs about mathematics affect how they see themselves, their instructional practices, and the level of appropriate mathematics activities offered in their classrooms. Research has shown that there are many classrooms where appropriate activities are happening…
Descriptors: Mathematics Instruction, Teacher Attitudes, Self Efficacy, Teacher Competencies
Eroglu, Deniz; Tanisli, Dilek – Online Submission, 2017
Getting students adopt the habits of mind specific to many disciplines can be seen as an anchor that will support them to solve the problems in their daily lives. Starting from this premise, a new subject, featuring the habits of mind and how to use and improve them in educational environments seems to worth thinking on. This article describes an…
Descriptors: Algebra, Cognitive Processes, Problem Solving, Teaching Methods
Lewis, Katherine E.; Lynn, Dylan M. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
Research has yet to make measurable progress toward understanding how to help students with math learning disabilities (MLDs) overcome their persistent difficulties. Prior research has traditionally framed MLDs as cognitive deficits and studied these deficits by analyzing failing students' errors. In this paper, we provide an alternative. We…
Descriptors: Mathematics Instruction, Mathematics Skills, Learning Disabilities, Coping
Jalan, Sukoriyanto; Nusantara, Toto; Subanji, Subanji; Chandra, Tjang Daniel – Educational Research and Reviews, 2016
This study aims to explain the thinking process of students in solving combination problems considered from assimilation and accommodation frameworks. This research used a case study approach by classifying students into three categories of capabilities namely high, medium and low capabilities. From each of the ability categories, one student was…
Descriptors: Thinking Skills, Problem Solving, Cognitive Processes, Models