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Melkonian, Vardges – PRIMUS, 2019
This paper discusses a game that can be used for introducing the binary representation of integers in an interactive and fun environment. The game is introduced in the way it is presented in an undergraduate Discrete Mathematics class. Variations of the game are discussed, particularly its extension to base-three representation of integers. It is…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Educational Games
Morano, Stephanie; Riccomini, Paul J.; Lee, Joo-Young – Learning Disabilities Research & Practice, 2019
Abstract Assessment results are used to investigate relations between performance on a fraction number line estimation task and a circular area model estimation task for students with LD in Grades 6-8. Results indicate that students' abilities to represent fractions on number lines and on circular area models are distinct skills. In addition,…
Descriptors: Fractions, Learning Disabilities, Students with Disabilities, Numbers
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
Lanham, Susan W. – American Journal of Business Education, 2019
Most literature related to Benford's Law discusses what the law can be used for and how it works but fails to address effective methods and procedures for teaching the law to students. This article examines existing information resources to determine the most effective methods and procedures used to explain this Law to those who have no experience…
Descriptors: Data Analysis, Instructional Effectiveness, Probability, Statistics
Laird, Alexandra; Grootenboer, Peter; Larkin, Kevin – Australian Mathematics Education Journal, 2019
The authors encourage consideration of the where mathematics learning takes place. They found that taking students outside engaged them with learning how to add and subtract integers and translate linear graphs.
Descriptors: Mathematics Instruction, Classroom Environment, Teaching Methods, Learner Engagement
Shumway, Jessica F.; Hoggan, Jessica – Teaching Children Mathematics, 2019
The standards from the Operations and Algebraic Thinking (OA) domain in the Common Core State Standards for Mathematics (CCSSM) build on one another across the grades (CCSSI 2010). Understanding each grade level's OA standards is necessary within the broader context of the K-grade 5 OA standards. In this article, the authors share their…
Descriptors: Mathematics Instruction, Grade 2, Elementary School Students, Elementary School Mathematics
Olson, Amy M.; Stoehr, Kathleen Jablon – School Science and Mathematics, 2019
This paper presents qualitative and quantitative approaches to exploring teachers' experiences of mathematics anxiety (for learning and doing mathematics) and mathematics teaching anxiety (for instructing others in mathematics), the relationship between these types of anxiety and test/evaluation anxiety, and the impacts of anxiety on experiences…
Descriptors: Student Experience, Numbers, Mathematics Instruction, Preservice Teachers
Zhang, Shu; Cao, Yiming; Wang, Lidong; Li, Xinlian – ZDM: The International Journal on Mathematics Education, 2019
This study investigates the teaching and learning of single-digit whole number multiplication in China. Analysis of data from documents, classroom teaching, and semi-structured interviews revealed three salient characteristics of emphasizing "oral calculation," "calculation speed," and "understanding" across…
Descriptors: Teaching Styles, Numbers, Mathematics Instruction, Foreign Countries
Kuzmina, Yulia; Ivanova, Alina; Kaiky, Diana – British Educational Research Journal, 2019
Investigations into the relations between phonological processing and math performance have yielded contradictory results. These contradictions might be related to small sample sizes and/or cross-sectional designs of previous studies that limited the possibility of generalizing the findings obtained. The first goal of this study was to estimate…
Descriptors: Foreign Countries, Phonological Awareness, Mathematics Achievement, Elementary School Students
Clements, Douglas H.; Sarama, Julie; MacDonald, Beth L. – Research in Mathematics Education, 2019
We define and describe how subitizing activity develops and relates to early quantifiers in mathematics. Subitizing is the direct perceptual apprehension and identification of the numerosity of a small group of items. Although subitizing is too often a neglected quantifier in educational practice, it has been extensively studied as a critical…
Descriptors: Numbers, Perception, Mathematics, Mathematics Instruction
Martin, Kristi; Hunt, Jessica H. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
Fractions are one of the most difficult areas of mathematics for all students and especially for students with learning disabilities (LD). An incomplete understanding of fractions during the elementary and middle school may be why some students view fractions as "really small" or "less than 1" compared to others who view them…
Descriptors: Fractions, Learning Disabilities, Numbers, Mathematics Instruction
Tian, Jing; Dam, Su; Gunderson, Elizabeth A. – Developmental Psychology, 2022
Recently, there has been increasing evidence showing that males estimate whole numbers more accurately than females on the number line. However, relatively little is known about what factors contribute to this gender gap. The current study explored potential mediators of the gender difference in number line estimation, including spatial skills and…
Descriptors: Spatial Ability, Anxiety, Gender Differences, Numbers
Morales-Garcia, Lizzet; Sandoval, Catalina Navarro; González, María del Socorro García – EURASIA Journal of Mathematics, Science and Technology Education, 2022
The aim of this research is to propose indicators of epistemic and mediational suitability to assess tasks designed in a mobile learning context, using theoretical and methodological elements of the onto-semiotic approach (OSA) and the SAMR model (substitution, augmentation, modification, and redefinition). With these indicators, 110 tasks…
Descriptors: Task Analysis, Mathematics Instruction, Number Concepts, Telecommunications
Schiller, Lauren K.; Fan, Ao; Siegler, Robert S. – Journal of Numerical Cognition, 2022
The number one plays a special role in mathematics because it is the identity element in multiplication and division. The present findings, however, indicate that many middle school students do not demonstrate mathematical flexibility representing one as a fraction. Despite possessing explicit knowledge of fraction forms of one (e.g., 95% of…
Descriptors: Numbers, Mathematics Instruction, Multiplication, Division
Fröber, Kerstin; Jurczyk, Vanessa; Dreisbach, Gesine – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
Frequent forced switching between tasks has been shown to reduce switch costs and increase voluntary switch rates. So far, however, the boundary conditions of the influence of forced task switching on voluntary task switching are unknown. Thus, the present study was aimed to test different aspects of generalizability (across items, tasks, and…
Descriptors: Cognitive Ability, Attention Control, Task Analysis, Generalization

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