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Yazici, Nurullah; Simsek, Mertkan – Acta Didactica Napocensia, 2022
In this research, pre-service mathematics teachers were asked to prepare scenarios about what possible misconceptions might be in the classroom teaching process and how a solution strategy could be used based on the cognitive conflict approach in order to overcome these misconceptions. Based on these scenarios, it is aimed to determine what type…
Descriptors: Preservice Teachers, Mathematics Teachers, Student Attitudes, Misconceptions
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Venenciano, Linda C. H.; Yagi, Seanyelle L.; Zenigami, Fay K.; Dougherty, Barbara J. – Investigations in Mathematics Learning, 2020
First-grade mathematics curriculum has been typically constructed to emphasize the development of whole number and operations. Topics addressed to a lesser extent include algebraic thinking, measurement, and geometry. In this research study, we suggest an alternative to this balance of topics. We compared prior research and learning expectations…
Descriptors: Grade 1, Elementary School Mathematics, Mathematics Curriculum, Algebra
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Somasundram, Piriya – EURASIA Journal of Mathematics, Science and Technology Education, 2021
Algebraic thinking in children can bridge the cognitive gap between arithmetic and algebra. This quantitative study aimed to develop and test a cognitive model that examines the cognitive factors influencing algebraic thinking among Year Five pupils. A total of 720 Year Five pupils from randomly selected national schools in Malaysia participated…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Mathematics Skills
Root, Jenny R.; Henning, Bonnie; Jimenez, Bree – Remedial and Special Education, 2020
This study reports findings of a systematic replication and as such sought to evaluate effects of an early numeracy curriculum on early number sense attainment for Kindergarten students with autism. Through daily 15-min story-based math lessons with embedded systematic instruction delivered by their classroom teacher, participants learned to…
Descriptors: Autism, Pervasive Developmental Disorders, Kindergarten, Teaching Methods
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Bouck, Emily C.; Park, Jiyoon – Education and Training in Autism and Developmental Disabilities, 2020
Virtual manipulatives are an emerging intervention to support students with disabilities in mathematics. Through a multiple probe across participants design, researchers examined use of an intervention package consisting of a virtual manipulative (i.e., the Two-Color Counter app-based manipulative) and the system of least prompts (SLP) to support…
Descriptors: Computer Oriented Programs, Manipulative Materials, Assistive Technology, Prompting
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Tillema, Erik; Gatza, Andrew – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
The study reported on in this paper is an interview study conducted with 20 7th and 8th grade students whose purpose was to understand the generalizations they could make about non-linear meanings of multiplication (NLMM) and non-linear growth (NLG) in the context of solving combinatorics problems. The paper identifies productive challenges for…
Descriptors: Middle School Students, Secondary School Mathematics, Generalization, Number Concepts
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Dennis, Minyi Shih; Sorrells, Audrey McCray; Falcomata, Terry S. – Learning Disability Quarterly, 2016
This study used a multiple probe across participants design, replicated across two interventions and counterbalanced across participant groups to examine the effects of number sense intervention and extensive practice intervention on strategy transformation when students with mathematics learning disabilities (MLD) solved basic fact problems. In…
Descriptors: Learning Disabilities, Grade 2, Problem Solving, Intervention
Yildiz, Cemalettin – Online Submission, 2016
The aim of this study is to compare the mathematical thinking experiences of fourth grade students at faculty of education and faculty of arts and sciences in the stages of specializing, generalizing, conjecturing, and proving. The study was conducted with 72 fourth grade students in the spring term of the academic year of 2015-2016. While 36 were…
Descriptors: Intellectual Disciplines, Science Education, Art Education, Schools of Education
Nataraj, Mala S.; Thomas, Michael O. J. – Mathematics Education Research Group of Australasia, 2012
The importance of understanding the various uses of the literal symbol in algebra, and in particular the idea of generalised number, is well documented in the literature. Many research findings have also reported student difficulties with this vital and central concept. This research study examines the use of a combination of historical and…
Descriptors: Algebra, Mathematics Instruction, Mathematical Concepts, Numbers
Solnick, Jay V.; Baer, Donald M. – Analysis and Intervention in Developmental Disabilities, 1984
The study examined the ability of preschool-age children to solve five format exemplars of number-numeral correspondence. Results indicated that some children were able to solve number-numeral correspondence problems in some formats and not in others. This deficiency was remediated by training in one, two, or (at most) three format exemplars.…
Descriptors: Generalization, Number Concepts, Preschool Education
Smeets, Paul M.; And Others – Analysis and Intervention in Developmental Disabilities, 1984
The study evaluated an errorless procedure for teaching nine educable mentally retarded students to solve missing minuend problems. Seven Ss acquired the target skill in a nearly errorless fashion in 75 to 172 minutes of individual training time. The other Ss required programatic alterations. (Author/CL)
Descriptors: Computation, Elementary Education, Generalization, Mild Mental Retardation
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Sophian, Catherine – Child Development, 1988
The main finding that three- and four-year-old children can make inferences relating numerosity and one-to-one correspondence information implicate more mathematical knowledge than Piaget attributed to young children. Their knowledge does not appear to be as closely tied to counting and other action schemas as other accounts of early numerical…
Descriptors: Comprehension, Difficulty Level, Generalization, Number Concepts
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Schmittau, Jean – Journal of Mathematical Behavior, 1993
Based on the cognitive psychological theories of Vygotsky and Davydov, discusses the establishment of connections between mathematical elements, and the algorithmic rules that govern them, and children's spontaneous mathematical concepts. Presents examples that establish connections involving addition and subtraction, comparing numerical…
Descriptors: Addition, Cognitive Development, Cognitive Processes, Elementary Education
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Lynch, Deirdre C.; Cuvo, Anthony J. – Journal of Applied Behavior Analysis, 1995
Stimulus control technology was used to instruct seven students in grades five and six who demonstrated difficulty with fraction ratio and decimal relations. Students were trained to match pictorial representations of fractions to printed counterpart fraction ratios and to match printed decimals to pictorial representations of counterpart…
Descriptors: Decimal Fractions, Fractions, Generalization, Instructional Effectiveness
Sandieson, Robert – 1991
This study addressed the problem of promoting generalization of knowledge in people with mental handicaps, by presenting an approach based on the idea that certain cognitive representations of strategies and related concepts are common to solving a wide variety of problems. The surface context of these problems may vary considerably, but all will…
Descriptors: Adolescents, Cognitive Processes, Generalization, Instructional Effectiveness
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