CHAD 60: Child Development Course Redesign

Poster summarizing course redesign activities for CHAD 60: Child Development.https://scholarworks.sjsu.edu/davinci_itcr2014/1014/thumbnail.jp

Language counts: Early language mediates the relationship between parent education and children\u27s math ability

Children\u27s early math skills have been hailed as a powerful predictor of academic success. Disparities in socioeconomic context, however, also have dramatic consequences on children\u27s learning. It is therefore critical to investigate both of these distinct contributors in order to better understand the early foundations of children\u27s academic outcomes. This study tests an integrated model of children\u27s developing math ability so as to (1) identify the specific skills and abilities most clearly linked to early math achievement and (2) measure the influence of children\u27s socioeconomic context on each of these skills. We first evaluated the early vocabulary, number word knowledge (knower level), and Approximate Number System (ANS) acuity of a diverse group of preschoolers. Then, approximately 1 year later as they entered Kindergarten, we administered a test of early math achievement. We find that children\u27s early language (general vocabulary and number word knowledge) fully mediates the relationship between parent education and math ability. Additionally, number word knowledge mediates the relationship between ANS acuity and early math. We argue that increased focus on number word knowledge, as well as general vocabulary, may help to minimize disparities in math ability as children enter kindergarten. We also highlight the role of parent education on children\u27s learning and note that this may be an important locus for intervention

Connecting numbers to discrete quantification: A step in the child’s construction of integer concepts

The present study asks when young children understand that number words quantify over sets of discrete individuals. For this study, 2- to 4-year-old children were asked to extend the number word five or six either to a cup containing discrete objects (e.g., blocks) or to a cup containing a continuous substance (e.g., water). In Experiment 1, only children who knew the exact meanings of the words one, two and three extended higher number words (five or six) to sets of discrete objects. In Experiment 2, children who only knew the exact meaning of one extended higher number words to discrete objects under the right conditions (i.e., when the problem was first presented with the number words one and two). These results show that children have some understanding that number words pertain to discrete quantification from very early on, but that this knowledge becomes more robust as children learn the exact, cardinal meanings of individual number words

Counting and Basic Numerical Skills

The following chapter outlines a typical developmental trajectory of children’s early number knowledge and counting skills. Using a series of anecdotal demonstrations of a young child’s emergent knowledge as a guide, the chapter first outlines the conceptual and procedural building blocks for counting and basic numerical skills (Section 4.1 and 4.2), proceeds to an extended discussion of major conceptual achievements in counting (Section 4.3), and concludes with a review of our emerging understanding on how to best support and facilitate the development of these skills (Section 4.4). Throughout each of these sections, seminal studies are discussed to more clearly demonstrate the role of children’s intuitive number sense in the construction of natural number concepts; specific challenges that children confront as they acquire the verbal count list (including several conceptual and linguistic obstacles that are often overlooked in early childhood curricula and assessments); and the effectiveness of low-cost, practical interventions that can be adopted by educators and parents to support and facilitate development

A 6-month longitudinal study on numerical estimation in preschoolers

The current study investigated the development of numerical estimation in 3- to 5-year-old children sampled monthly for six months. At each session, children completed a task that assesses verbal number knowledge (Give-N task) and a numerical estimation task that assesses approximate number knowledge (Fast Cards). Results showed that children who acquired the cardinal principle (CP) during the course of the study showed marked improvement on the estimation task. Following CP acquisition, estimation became more accurate overall but also fluctuated widely. We discuss the implications of our findings for number word learning, particularly the mapping between verbal number and the approximate number system (ANS)

Developmental change in numerical estimation

Mental representations of numerical magnitude are commonly thought to undergo discontinuous change over development in the form of a “representational shift.” This idea stems from an apparent categorical shift from logarithmic to linear patterns of numerical estimation on tasks that involve translating between numerical magnitudes and spatial positions (such as number-line estimation). However, the observed patterns of performance are broadly consistent with a fundamentally different view, based on psychophysical modeling of proportion estimation, that explains the data without appealing to discontinuous change in mental representations of numerical magnitude. The present study assessed these 2 theories\u27 abilities to account for the development of numerical estimation in 5- through 10-year-olds. The proportional account explained estimation patterns better than the logarithmic-to-linear-shift account for all age groups, at both group and individual levels. These findings contribute to our understanding of the nature and development of the mental representation of number and have more general implications for theories of cognitive developmental change

A picture of eight turtles: the child’s understanding of cardinality and numerosity

An essential part of understanding number words (e.g., eight) is understanding that all number words refer to the dimension of experience we call numerosity. Knowledge of this general principle may be separable from knowledge of individual number word meanings. That is, children may learn the meanings of at least a few individual number words before realizing that all number words refer to numerosity. Alternatively, knowledge of this general principle may form relatively early and proceed to guide and constrain the acquisition of individual number word meanings. The current article describes two experiments in which 116 children (2½- to 4-year-olds) were given a Word Extension task as well as a standard Give-N task. Results show that only children who understood the cardinality principle of counting successfully extended number words from one set to another based on numerosity—with evidence that a developing understanding of this concept emerges as children approach the cardinality principle induction. These findings support the view that children do not use a broad understanding of number words to initially connect number words to numerosity but rather make this connection around the time that they figure out the cardinality principle of counting