Understanding the linear relationship of numbers is essential for doing practical and abstract mathematics throughout education and everyday life. There is evidence that number line activities increase learners' number sense, improving the linearity of mental number line representations (Siegler & Ramani, 2009). Mental representations of…

This study investigated the development of length measurement ideas in students from prekindergarten through 2nd grade. The main purpose was to evaluate and elaborate the developmental progression, or levels of thinking, of a hypothesized learning trajectory for length measurement to ensure that the sequence of levels of thinking is consistent…

Explanations of the marked individual differences in elementary school mathematical achievement and mathematical learning disability (MLD or dyscalculia) have involved domain-general factors (working memory, reasoning, processing speed, and oral language) and numerical factors that include single-digit processing efficiency and multidigit skills…

The purpose of the present study was twofold: (a) to examine the extent to which Chinese dyslexic children experience deficits in phonological and orthographic processing skills and (b) to examine if Chinese dyslexia is associated with deficits in Planning, Attention, Simultaneous, and Successive (PASS) processing. A total of 27 Grade 4 children…

Background: The ability to compare numbers, as the most basic form of number sense, has been related to arithmetical achievement. Aims: The current study addressed the predictive value of non-symbolic and symbolic (number word (NW) and Arabic number (AN)) comparison for arithmetics by means of a longitudinal design. Sample: Sixteen children with…

This brief aims to help educators understand the implications of math curriculum choice in the early elementary grades by presenting new findings from a study that examined how four math curricula affect students' achievement across two years--from 1st through 2nd grades. The four curricula were (1) Investigations in Number, Data, and Space…

Children and adults rated their own certainty following inductive inferences, deductive inferences, and guesses. Beginning in kindergarten, participants rated deductions as more certain than weak inductions or guesses. Deductions were rated as more certain than strong inductions beginning in Grade 3, and fourth-grade children and adults…

This randomized field trial comparing Strategies for Teaching based on Autism Research and Structured Teaching enrolled educators in 33 kindergarten-through-second-grade autism support classrooms and 119 students, aged 5-8 years in the School District of Philadelphia. Students were assessed at the beginning and end of the academic year using the…

How people process and represent magnitude has often been studied using number comparison tasks. From the results of these tasks, a comparison distance effect (CDE) is generated, showing that it is easier to discriminate two numbers that are numerically further apart (e.g., 2 and 8) compared with numerically closer numbers (e.g., 6 and 8).…

This study was designed to examine two aspects of sight-singing instruction: (1) solfege syllables versus the syllable "loo" for singing patterns and (2) the use of related songs (songs that began with tonal patterns being studied) as compared with unrelated songs. Second-grade students (N = 193) enrolled in general music classes…

Working memory, executive functions, and cognitive processes associated with specific academic areas, are empirically identified as being the core underlying cognitive deficits in students with specific learning disabilities. Using Hebb's theory of neuroplasticity and the principle of automaticity as theoretical bases, this experimental study…

Educational practices are needed to promote strong vocabulary growth so that vocabulary can be both the cause and result of successful reading. Vocabulary interventions need to begin early and continue for a sustained period of time (Beck & McKeown, 2007a; Biemiller, 2003; Foorman, Seals, Anthony & Pollard-Durodola, 2003). According to theoretical…

Research indicates a strong relationship between phonological awareness and reading success. Phonemic intervention programs clearly show the benefits of explicitly teaching phonological awareness skills. Phonological awareness skills vary in nature and degree of difficulty and appear to follow a developmental progression. This study examined a…

Adults' and kindergarten through fourth-grade children's evaluations and explanations of inductive inferences, deductive inferences, and guesses were assessed. Beginning in kindergarten, participants rated deductions as more certain than weak inductions or guesses. Beginning in third grade, deductions were rated as more certain than strong…

Deficits in basic numerical processing have been identified as a central and potentially causal problem in developmental dyscalculia; however, so far not much is known about the typical and atypical development of such skills. This study assessed basic number skills cross-sectionally in 262 typically developing and 51 dyscalculic children in…