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M. Qoyum Zuhriawan; Purwanto; Susiswo; Sukoriyanto; Siti Faizah – Mathematics Teaching Research Journal, 2024
Students' understanding of negative integers is an important aspect of learning mathematics as it is a requirement for learning broader mathematical concepts. The purpose of this research is to explore students' initial perceptions in understanding negative integers on a number line. This descriptive exploratory qualitative research was conducted…
Descriptors: Numbers, Number Concepts, Elementary School Students, Student Attitudes
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
Angelika Kullberg; Camilla Björklund; Ulla Runesson Kempe – Educational Studies in Mathematics, 2024
The decomposition of numbers when solving subtraction tasks is regarded as more powerful than counting-based strategies. Still, many students fail to solve subtraction tasks despite using decomposition. To shed light upon this issue, we take a variation theoretical perspective (Marton, 2015) seeing learning as a function of discerning critical…
Descriptors: Subtraction, Number Concepts, Grade 2, Elementary School Students
Kelsey J. MacKay; Filip Germeys; Wim Van Dooren; Lieven Verschaffel; Koen Luwel – Educational Studies in Mathematics, 2025
Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…
Descriptors: Number Concepts, Numeracy, Secondary School Mathematics, Secondary School Students
Terri L. Kurz; Mi Yeon Lee – School Science and Mathematics, 2024
Recognizing, building, describing, extending, and analyzing patterns are key components of algebraic reasoning. Oftentimes pattern-based instruction is used to support the understanding of functions and variables. In this study, elementary preservice teachers (n = 23) were asked to explore, extend, explain, create equations for, and analyze…
Descriptors: Elementary School Teachers, Preservice Teachers, Numbers, Error Patterns
Corinne A. Bower; Kelly S. Mix; Gregory R. Hancock; Lei Yuan; Linda B. Smith – Journal of Cognition and Development, 2024
Children's early accuracy on place value (PV) tasks longitudinally predicts their later multidigit calculation skills. However, another window into children's emerging base-ten concepts is the pattern of errors -- "smart errors" -- they exhibit on these measures. Past research has speculated that these smart errors -- similar to invented…
Descriptors: Number Concepts, Accuracy, Error Patterns, Kindergarten
Tzu-Hsing Lin – ProQuest LLC, 2024
Integers present a global challenge for students due to their abstract nature and complex operations. To delve into the challenge students encountered, error analysis served as an alternative method to investigate errors diagnostically. This study aimed to explore error patterns related to integer addition and subtraction among seventh-grade…
Descriptors: Learning Disabilities, Students with Disabilities, Error Patterns, Grade 7