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Copping, Kate – Mathematics Education Research Group of Australasia, 2021
The development of mathematical reasoning is a key proficiency for mathematics within the Australian Curriculum. However, reasoning can be difficult for teachers to assess, particularly with pen and paper tests. In this study, interview tasks were designed across three curriculum areas at three different levels to assess student reasoning through…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematical Logic, Elementary School Students
Desoete, Annemie; Baten, Elke – International Electronic Journal of Elementary Education, 2022
Several factors seem important to understand the nature of mathematical learning. Byrnes and Miller combined these factors into the Opportunity-Propensity model. In this study the model was used to predict the number-processing factor and the arithmetic fluency in grade 4 (n = 195) and grade 5 (n = 213). Gender, intelligence and affect (positive…
Descriptors: Mathematics Education, Elementary School Mathematics, Elementary School Students, Grade 4
Yilmaz, Aysenur; Akyuz, Didem; Stephan, Michelle – International Journal of Education in Mathematics, Science and Technology, 2019
Number line models provide a visual aid for students to examine the relationship of integers with each other and facilitate learning of integers and integer operations. Such models are typically used when students are asked real-life problems. This study employs a qualitative case study design to perform an in-depth analysis of how middle grade…
Descriptors: Middle School Students, Mathematics Instruction, Grade 7, Foreign Countries
Bender, Andrea; Beller, Sieghard – Cognitive Science, 2017
Mangarevan traditionally contained two numeration systems: a general one, which was highly regular, decimal, and extraordinarily extensive; and a specific one, which was restricted to specific objects, based on diverging counting units, and interspersed with binary steps. While most of these characteristics are shared by numeration systems in…
Descriptors: Arithmetic, Mental Computation, Anthropology, Archaeology
Piselli, Katherine D. – ProQuest LLC, 2017
Math fluency, which refers to the ability to solve single digit arithmetic problems quickly and accurately, is a foundational mathematical skill. Recent research has examined the role of phonological processing, executive control, and number sense in explaining differences in math fluency performance in school-aged children. Identifying the links…
Descriptors: Cognitive Ability, Mathematics Achievement, Intelligence, Mathematics Instruction
Braithwaite, David W.; Pyke, Aryn A.; Siegler, Robert S. – Grantee Submission, 2017
Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it…
Descriptors: Arithmetic, Computation, Models, Mathematics Instruction
Bolsinova, Maria; Tijmstra, Jesper – Journal of Educational and Behavioral Statistics, 2016
Conditional independence (CI) between response time and response accuracy is a fundamental assumption of many joint models for time and accuracy used in educational measurement. In this study, posterior predictive checks (PPCs) are proposed for testing this assumption. These PPCs are based on three discrepancy measures reflecting different…
Descriptors: Reaction Time, Accuracy, Statistical Analysis, Robustness (Statistics)
Greene, Irene; Mc Tiernan, Aoife; Holloway, Jennifer – Journal of Behavioral Education, 2018
The current study employed a randomized controlled trial to evaluate the use of peer tutoring and fluency-based instruction to increase mathematics fluency with addition and subtraction computation skills. Forty-one elementary school students between the ages of eight and 12 years participated in the 8-week study using cross-age peer tutoring, Say…
Descriptors: Peer Teaching, Randomized Controlled Trials, Interpersonal Competence, Behavior Problems
Schleifer, Patrick; Landerl, Karin – Developmental Science, 2011
Enumeration performance in standard dot counting paradigms was investigated for different age groups with typical and atypically poor development of arithmetic skills. Experiment 1 showed a high correspondence between response times and saccadic frequencies for four age groups with typical development. Age differences were more marked for the…
Descriptors: Control Groups, Age Differences, Arithmetic, Cognitive Development
Bijleveld, Erik; Custers, Ruud; Aarts, Henk – Cognition, 2010
While both conscious and unconscious reward cues enhance effort to work on a task, previous research also suggests that conscious rewards may additionally affect speed-accuracy tradeoffs. Based on this idea, two experiments explored whether reward cues that are presented above (supraliminal) or below (subliminal) the threshold of conscious…
Descriptors: Cues, Rewards, Hyperactivity, Experiments
Kairuddin; Darmawijoyo – Indonesian Mathematical Society Journal on Mathematics Education, 2011
This paper highlights the Indonesian's road transportation contexts, namely, angkot, that used in learning and teaching of addition and subtraction in first grade and second grade MIN-2 Palembang. PMRI approach that adopt from RME [Realistic Mathematics Education] was used in this design research. From teaching experiment was founded that the…
Descriptors: Foreign Countries, Transportation, Elementary School Students, Number Concepts
Mead, Katie; Maxwell, Tom W. – Australian Primary Mathematics Classroom, 2010
Action research (AR) is defined by Macintyre to be: "an investigation, where, as a result of rigorous self-appraisal of current practice, the researcher focuses on a problem,or a topic or an issue which needs to be explained, and on the basis of information, plans, implements, then evaluates an action then draws conclusions on the basis of…
Descriptors: Action Research, Number Concepts, Mathematics Instruction, Teaching Methods
Parrish, Sherry – Math Solutions, 2010
"Number Talks" is: (1) A five- to fifteen-minute classroom conversation around purposefully crafted computation problems that are solved mentally; and (2) The best part of a teacher's day. Whether you want to implement number talks but are unsure of how to begin or have experience but want more guidance in crafting purposeful problems, this…
Descriptors: Problem Solving, Mental Computation, Mathematics Skills, Video Technology
Ortiz, Enrique – Teaching Children Mathematics, 2006
The game presented in this article provides for students' development of the use of models, benchmarks, and equivalent forms to judge the size of fractions in a motivational and flexible way.
Descriptors: Arithmetic, Teaching Methods, Mathematics Instruction, Models
Tse, Chi-Shing; Neely, James H. – Journal of Memory and Language, 2005
Four experiments examined whether studying a single Deese/Roediger-McDermott (DRM) list produces semantic priming for nonstudied critical items (CIs) and semantic + repetition priming for studied associates. After 30 s of mental arithmetic that followed the study of a DRM list, priming was assessed in a lexical decision task when the nonwords were…
Descriptors: Memory, Arithmetic, Computation, Semantics
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