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Direct linkSon, Ji-Won; Hu, Qintong; Lim, Woong – International Journal of Mathematical Education in Science and Technology, 2019
Despite the importance of computational estimation skill for the improvement of number sense, little research exists on preservice teachers' estimation skills and their view on estimation in the US context. This study examined the computational estimation skill of 58 preservice elementary teachers (PSTs) and its relationship to their views of the…
Descriptors: Computation, Mental Computation, Mathematics Instruction, Preservice Teachers
Download full textWatanabe, Nobuki – International Electronic Journal of Mathematics Education, 2023
The role of executive function training in supporting child development has been increasingly studied. Executive function is largely related to the prefrontal cortex. The anterior portion of the prefrontal cortex, which is area 10 on the Brodmann map, is essential for the emergence of higher-order executive functions. Accumulating evidence…
Descriptors: Mathematics Instruction, Teaching Methods, Alphabets, Numbers
Bishop, Jessica Pierson; Lamb, Lisa L.; Whitacre, Ian; Philipp, Randolph A.; Schappelle, Bonnie P. – Mathematics Teacher: Learning and Teaching PK-12, 2022
In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…
Descriptors: Thinking Skills, Problem Solving, Mathematics Instruction, Logical Thinking
Braithwaite, David W.; Sprague, Lauren; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
To explain children's difficulties learning fraction arithmetic, Braithwaite et al. (2017) proposed FARRA, a theory of fraction arithmetic implemented as a computational model. The present study tested predictions of the theory in a new domain, decimal arithmetic, and investigated children's use of conceptual knowledge in that domain. Sixth and…
Descriptors: Number Concepts, Numbers, Arithmetic, Fractions
Chan, Jenny Yun-Chen; Smith, Hannah; Closser, Avery H.; Drzewiecki, Katharine C.; Ottmar, Erin R. – Grantee Submission, 2021
Numbers and variables often follow the same principles of arithmetic operations, yet numbers can be computed to a value whereas variables cannot. We examined the effect of symbols--numbers versus variables--on middle school students' problem-solving behaviors in a dynamic algebra notation system by presenting problems in numbers (e.g., 3+5-3) or…
Descriptors: Symbols (Mathematics), Numbers, Middle School Students, Mathematics Instruction
McMullen, Jake; Hannula-Sormunen, Minna M.; Lehtinen, Erno; Siegler, Robert S. – British Journal of Educational Psychology, 2022
Background: Adaptive expertise is a highly valued outcome of mathematics curricula. One aspect of adaptive expertise with rational numbers is adaptive rational number knowledge, which refers to the ability to integrate knowledge of numerical characteristics and relations in solving novel tasks. Even among students with strong conceptual and…
Descriptors: Elementary School Students, Middle School Students, Grade 6, Grade 7
Tosto, Maria Grazia; Garon-Carrier, Gabrielle; Gross, Susan; Petrill, Stephen A.; Malykh, Sergey; Malki, Karim; Hart, Sara A.; Thompson, Lee; Karadaghi, Rezhaw L.; Yakovlev, Nikita; Tikhomirova, Tatiana; Opfer, John E.; Mazzocco, Michèle M. M.; Dionne, Ginette; Brendgen, Mara; Vitaro, Frank; Tremblay, Richard E.; Boivin, Michel; Kovas, Yulia – British Journal of Educational Psychology, 2019
Background: The number line task assesses the ability to estimate numerical magnitudes. People vary greatly in this ability, and this variability has been previously associated with mathematical skills. However, the sources of individual differences in number line estimation and its association with mathematics are not fully understood. Aims: This…
Descriptors: Twins, Individual Differences, Computation, Mathematics Skills
Sun, Xu Hua; Xin, Yan Ping; Huang, Rongjin – ZDM: The International Journal on Mathematics Education, 2019
Whole Number Arithmetic (WNA) appears as the very first topic in school mathematics and establishes the foundation for later mathematical content. Without solid mastery of WNA, students may experience difficulties in learning fractions, ratio and proportion, and algebra. The challenge of students' learning and mastery of fractions, decimals, ratio…
Descriptors: Computation, Problem Solving, Word Problems (Mathematics), Surveys
Lawson, Alyssa P.; Mirinjian, Arineh; Son, Ji Y. – Journal of Cognitive Education and Psychology, 2018
Understanding how struggling students approach math is vital to designing effective math lessons. Many low achieving students rely on a weak knowledge of procedures and attempt calculations without adequate consideration of the problem. We investigated how enabling or preventing premature calculations affected learning math. Students were…
Descriptors: Computation, Mathematics Instruction, Mathematical Concepts, Teaching Methods
Yang, Der-Ching – International Journal of Science and Mathematics Education, 2019
This study investigated the performance of 790 fourth graders from Taiwan for judging the reasonableness of a computational result by using corresponding methods pertaining to whole numbers. A number-sense web-based two-tier diagnostic test was used to assess the number-sense performance of the fourth graders who participated in this study. The…
Descriptors: Grade 4, Elementary School Students, Mathematics Instruction, Mathematical Concepts
Throndsen, Jennifer; MacDonald, Beth; Hunt, Jessica – Australian Primary Mathematics Classroom, 2017
Building students' understanding of cardinality is fundamental for working with numbers and operations. Without these early mathematical foundations in place, students will fall behind. Consequently, it is imperative to build on students' strengths to address their weaknesses with the notion of cardinality.
Descriptors: Mathematics, Mathematics Instruction, Kindergarten, Numbers
Herceg, Ðorde; Herceg, Dejana – Informatics in Education, 2020
Connecting theory and practice in teaching is sometimes difficult, as it requires expensive or delicate equipment, thus limiting the teacher to giving demonstrations in which students are passive participants. Numerical mathematics, as an applied discipline, should be taught on real world examples. By using inexpensive Arduino hardware, we can…
Descriptors: Mathematics Instruction, Teaching Methods, Educational Technology, Computer Software
Joswick, Candace; Clements, Douglas H.; Sarama, Julie; Banse, Holland W.; Day-Hess, Crystal A. – Teaching Children Mathematics, 2019
The teacher displayed counting cards that included both dots and numerals in order from one to five, as she counted them with her students. She then turned the cards facedown, keeping them in order, and began an identify-a-hidden-card activity with the class. This class was engaged in the third of three card activities that develop number sense…
Descriptors: Mathematics Activities, Instructional Materials, Mathematics Instruction, Executive Function
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
Bray, Wendy S.; Blais, Tanya Vik – Teaching Children Mathematics, 2017
When asked to determine the number of tens in twenty-five, most second graders who have had instruction on place value can quickly provide the correct answer of two. However, when asked to show how the numeral 2 is represented in a set of twenty-five objects, many children struggle to draw a connection between the digit 2 and twenty objects in the…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 2, Mathematical Concepts
