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Zhang, Xiao; Räsänen, Pekka; Koponen, Tuire; Aunola, Kaisa; Lerkkanen, Marja-Kristiina; Nurmi, Jari-Erik – Developmental Psychology, 2017
The longitudinal relations of domain-general and numerical skills at ages 6-7 years to 3 cognitive domains of arithmetic learning, namely knowing (written computation), applying (arithmetic word problems), and reasoning (arithmetic reasoning) at age 11, were examined for a representative sample of 378 Finnish children. The results showed that…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Logic, Short Term Memory
Schulz, Andreas – Mathematical Thinking and Learning: An International Journal, 2018
Theoretical analysis of whole number-based calculation strategies and digit-based algorithms for multi-digit multiplication and division reveals that strategy use includes two kinds of reasoning: reasoning about the relations between numbers and reasoning about the relations between operations. In contrast, algorithms aim to reduce the necessary…
Descriptors: Computation, Mathematics Instruction, Multiplication, Arithmetic
Fagginger Auer, Marije F.; Hickendorff, Marian; Van Putten, Cornelis M.; Béguin, Anton A.; Heiser, Willem J. – Applied Measurement in Education, 2016
A first application of multilevel latent class analysis (MLCA) to educational large-scale assessment data is demonstrated. This statistical technique addresses several of the challenges that assessment data offers. Importantly, MLCA allows modeling of the often ignored teacher effects and of the joint influence of teacher and student variables.…
Descriptors: Educational Assessment, Multivariate Analysis, Classification, Data
Wong, Terry Tin-Yau; Ho, Connie Suk-Han – Journal of Educational Psychology, 2017
Arithmetic word-problem solving is an important component of elementary mathematics curricula that links school mathematics to real-life problem solving. The present 3-year longitudinal study examined children's arithmetic word-problem solving through understanding its 2 component processes: number-sentence construction and computation. Chinese…
Descriptors: Arithmetic, Word Problems (Mathematics), Problem Solving, Correlation
Kyriakidou-Christofidou, Athina – ProQuest LLC, 2016
The present mixed-methods quasi-experimental study (embedding a case study and a mixed factorial within-between ANOVA test), conducted in a private English school in Limassol, Cyprus, investigated how the use of the schematic learning aids (researcher-made color-coded flash-cards and grids) influence year-2 children's ability to read, write and…
Descriptors: Statistical Analysis, Mixed Methods Research, Quasiexperimental Design, Intervention
Bosma, Tirza; Stevenson, Claire E.; Resing, Wilma C. M. – Journal of Education and Training Studies, 2017
In this paper we investigated the contribution of a dynamic testing procedure, including multiple graduated prompts protocols, in identifying differences in need for instruction of second grade children (N = 120) with arithmetic difficulties. The training was adaptive and prompts were provided according to one of six protocols, each focusing on a…
Descriptors: Prompting, Grade 2, Arithmetic, Problem Solving
Zhao, Ningning; Valcke, Martin; Desoete, Annemie; Burny, Elise; Imbo, Ineke – Educational Psychology, 2014
The present paper investigates differences in the process of mastering the four basic arithmetic operations (addition, subtraction, multiplication and division) between Flemish and Chinese children from Grade 3 till Grade 6 (i.e. from 8 to 11 years old). The results showed, firstly, that Chinese students outperformed Flemish students in each grade…
Descriptors: Foreign Countries, Comparative Education, Elementary School Mathematics, Arithmetic
Reeve, Robert; Reynolds, Fiona; Humberstone, Judi; Butterworth, Brian – Journal of Experimental Psychology: General, 2012
Dot enumeration (DE) and number comparison (NC) abilities are considered markers of core number competence. Differences in DE/NC reaction time (RT) signatures are thought to distinguish between typical and atypical number development. Whether a child's DE and NC signatures change or remain stable over time, relative to other developmental…
Descriptors: Cognitive Ability, Profiles, Children, Reaction Time
Farrington-Flint, Lee; Canobi, Katherine H.; Wood, Clare; Faulkner, Dorothy – British Journal of Developmental Psychology, 2010
Children's reasoning was examined within two educational contexts (word reading and addition) so as to understand the factors that contribute to relational reasoning in the two domains. Sixty-seven 5- to 7-year-olds were given a series of related words to read or single-digit addition items to solve (interspersed with unrelated items). The…
Descriptors: Multivariate Analysis, Thinking Skills, Problem Solving, Reading Ability
Hallett, Darcy; Nunes, Terezinha; Bryant, Peter – Journal of Educational Psychology, 2010
Previous research on children's conceptual and procedural understanding of fractions, and other arithmetic skills, has led to contradictory conclusions. Some research suggests that children learn conceptual knowledge before procedural knowledge, some suggests that they learn procedural knowledge before conceptual knowledge, and other research…
Descriptors: Mathematics Skills, Concept Formation, Foreign Countries, Arithmetic
Adult Dyslexia and Attention Deficit Disorder in Finland--Project DyAdd: WAIS-III Cognitive Profiles
Laasonen, Marja; Leppamaki, Sami; Tani, Pekka; Hokkanen, Laura – Journal of Learning Disabilities, 2009
The project Adult Dyslexia and Attention Deficit Disorder in Finland (Project DyAdd) compares adults (n = 119, 18-55 years) with dyslexia, attention-deficit/hyperactivity disorder (ADHD), dyslexia together with ADHD (comorbid), and healthy controls with neuropsychological, psychophysical, and biological methods. The focus of this article is on the…
Descriptors: Dyslexia, Attention Deficit Hyperactivity Disorder, Short Term Memory, Multivariate Analysis

Hanna, Gila – Ontario Mathematics Gazette, 1990
A study analyzed data from the International Association for the Evaluation of Educational Achievement survey of 13 year olds from 20 countries to examine gender differences in mathematics achievement. Multivariate analysis indicated differences varied from country to country and a significant difference in favor of boys in geometry achievement.…
Descriptors: Algebra, Arithmetic, Females, Foreign Countries
Ippel, Martin J. – 1992
This paper presents a framework for understanding conditions of discovery learning in computer-based microworlds. It begins with a short discussion of problems related to a traditional type of microworld--i.e., learning tools for mathematics--using the Dienes Multibase Arithmetic blocks as an example. In this discussion, hypotheses are developed…
Descriptors: Arithmetic, Cognitive Processes, Computer Assisted Instruction, Discovery Learning

Nesher, Pearla; Hershkovitz, Sara – Educational Studies in Mathematics, 1994
Studied schemes involved in solving two-step arithmetic word problems in (n=1824) elementary schoolchildren in Israel. Compound schemes and combinations of operations were found to affect the difficulty level of the problems. Appendix includes two versions of the test instrument. (Contains 17 references.) (MKR)
Descriptors: Addition, Arithmetic, Division, Elementary Education