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J. S. Allison; L. Santana; I. J. H. Visagie – Teaching Statistics: An International Journal for Teachers, 2025
Given sample data, how do you calculate the value of a parameter? While this question is impossible to answer, it is frequently encountered in statistics classes when students are introduced to the distinction between a sample and a population (or between a statistic and a parameter). It is not uncommon for teachers of statistics to also confuse…
Descriptors: Statistics Education, Teaching Methods, Computation, Sampling
Zolt, Holly; Wrightsman, Elizabeth; Ford, Lucinda; Patterson, Cody L. – PRIMUS, 2023
We discuss student conceptions of improper integrals and infinity in the context of a second-semester calculus course (in a three-course sequence). Our observations stem from a sequence of activities used in an online course over a three-day period. Throughout the enactment of these activities, students are challenged to develop conceptions of…
Descriptors: Mathematical Concepts, Mathematics Education, Calculus, Online Courses
Yuan, Yuan; Chen, Kuolong – International Journal of Science and Mathematics Education, 2023
This study used fraction number line estimation tasks to evaluate students' developmental patterns, and the relationship of such tasks with whole number bias was explored. In total, 189 fourth-grade students in a northern Taiwan elementary school were followed over 2 years. The results demonstrated that the students' fraction learning development…
Descriptors: Fractions, Numbers, Computation, Grade 4
Wijeratne, Chanakya; Zazkis, Rina – Teaching Mathematics and Its Applications, 2021
In this study we consider a classic paradox of infinity and its variations and suggest how the sources of misleading intuition can be analysed using the concept of uniform convergence of functions. We then examine how six mathematics honour students engage with a variation of the paradox. Despite their advanced mathematical training, the…
Descriptors: Mathematical Concepts, Intuition, Misconceptions, Logical Thinking
Eleftheriadi, Artemis; Lavidas, Konstantinos; Koustourakis, Gerasimos; Papadakis, Stamatis – Educational Process: International Journal, 2023
Background/purpose: Investigation into the misconceptions of preschool students in mathematics and their differences between the ages of 4-5 and 5-6 years old helps form appropriate developmental mathematics teaching programs. However, although several studies have been conducted examining preschoolers' previous knowledge and misconceptions about…
Descriptors: Misconceptions, Numbers, Arithmetic, Age Differences
Perkins, Laurel; Feldman, Naomi H.; Lidz, Jeffrey – Cognitive Science, 2022
Learning in any domain depends on how the data for learning are represented. In the domain of language acquisition, children's representations of the speech they hear determine what generalizations they can draw about their target grammar. But these input representations change over development as a function of children's developing linguistic…
Descriptors: Persuasive Discourse, Language Acquisition, Form Classes (Languages), Verbs
Thompson, Clarissa A.; Fitzsimmons, Charles J.; Scheibe, Daniel A. – Grantee Submission, 2021
Is there an optimal grading scheme? Do psychology instructors prefer one grading scheme over another? These questions were recently posted on the Society for the Teaching of Psychology Facebook page. After reading the responses, we realized that research in the domain of math cognition might help to shed light on an optimal grading scheme and put…
Descriptors: Grading, Grades (Scholastic), Mathematics Skills, Computation
Yousif, Sami R.; Alexandrov, Emma; Bennette, Elizabeth; Aslin, Richard N.; Keil, Frank C. – Developmental Science, 2022
A large and growing body of work has documented robust illusions of area perception in adults. To date, however, there has been surprisingly little in-depth investigation into children's area perception, despite the importance of this topic to the study of quantity perception more broadly (and to the many studies that have been devoted to studying…
Descriptors: Computation, Decision Making, Task Analysis, Heuristics
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
Thacker, Ian – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Prompting people to estimate climate change numbers before showing them the true value can shift learners' attitudes and conceptions. Yet, interventions created for such a learning experience are not easily accessible to the general public. The purpose of this preregistered study was to address this research gap by developing and testing an openly…
Descriptors: Climate, Computation, Numbers, Intervention
Thacker, Ian; Sinatra, Gale M. – Journal of Educational Psychology, 2022
Texts presenting novel numerical data can shift learners' attitudes and conceptions about controversial science topics. However, little is known about the mechanisms underlying this conceptual change. The purpose of this study was to investigate two potential mechanisms that underlie learning from novel data: numerical estimation skills and…
Descriptors: Climate, Attitude Change, Student Attitudes, Computation
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
Heavner, Shayla; Devers, Christopher – Journal of Computers in Mathematics and Science Teaching, 2022
Despite the introduction of Common Core State Standards and the National Council of Teachers of Mathematics urging educators to explore fundamental concepts in mathematics at a deeper level, the majority of mathematics education has remained aimed at initial skill acquisition. The result has led to students learning to mimic a standard set of…
Descriptors: Mathematics Instruction, Online Courses, Teaching Methods, Common Core State Standards
Crooks, Noelle M.; Bartel, Anna N.; Alibali, Martha W. – Statistics Education Research Journal, 2019
In recent years, there have been calls for researchers to report and interpret confidence intervals (CIs) rather than relying solely on p-values. Such reforms, however, may be hindered by a general lack of understanding of CIs and how to interpret them. In this study, we assessed conceptual knowledge of CIs in undergraduate and graduate psychology…
Descriptors: Undergraduate Students, Graduate Students, Psychology, Statistics