Promoting broad and stable improvements in low-income children's numerical knowledge through playing number board games

Theoretical analyses of the development of numerical representations suggest that playing linear number board games should enhance young children's numerical knowledge. Consistent with this prediction, playing such a game for roughly 1 hr increased low-income preschoolers' (mean age = 5.4 years) proficiency on 4 diverse numerical tasks: numerical magnitude comparison, number line estimation, counting, and numeral identification. The gains remained 9 weeks later. Classmates who played an identical game, except for the squares varying in color rather than number, did not improve on any measure. Also as predicted, home experience playing number board games correlated positively with numerical knowledge. Thus, playing number board games with children from low-income backgrounds may increase their numerical knowledge at the outset of school.     

Developing Children's Understanding of Fractions: An Intervention Study

Fractions constitute a stumbling block in mathematics education. To improve children's understanding of fractions, we designed an intervention based on learning‐by‐doing activities, which focused on the representation of the magnitude of fractions. Participants were 292 Grade 4 and 5 children. Half of the classes received experimental instruction, while the other half pursued their usual lessons. For 10 weeks, they played five different games using cards representing fractions (e.g., Memory and Blackjack). Wooden disks helped them represent and manipulate fractions while playing games. Our results showed an improvement in the conceptual understanding of fractions. The findings confirmed that the usual practice in teaching fractions is largely based on procedural knowledge and provides only minimal opportunities for children to conceptualize the meaning and magnitude of fractional notations. Furthermore, our results demonstrate that a short intervention inducing children to manipulate, compare, and evaluate fractions improves their ability to associate fractional notations with numerical magnitude.     

The use of drama to teach social skills in a special school setting for students with autism

For children with autism, social challenges may be both part of the disability and a barrier to accessing education. This article reports on a project that used drama to address such challenges by drawing on the social skills of non‐autistic peers in a special school setting. The article demonstrates how drama's flexibility may be harnessed in order to help students support each other's development of creative and communicative skills. Focusing on two children in particular, specific examples are given to illustrate how they participated in group work, made imaginative contributions to verbal and physical representations and engaged with abstract ideas. The project's outcomes suggest that, given a concrete structure and an invitation to collaborate, drama can be a powerful learning medium for children with autistic spectrum disorder. The conclusion reflects on the diverse meaning of inclusive practice that can be achieved within specialist settings.     

Examining pre‐service teachers' attitudes towards children with autism in the USA

Autism is a developmental disorder which affects a growing number of children worldwide. Since the disorder was first discovered by Leo Kanner almost seven decades ago there has been a lot of research trying to unravel this otherwise esoteric disorder. That research has contributed to better understanding of the disorder, shifting of conceptualisations as well as changing of professionals' and families perceptions and attitudes towards the disorder. Together, these changes have helped to promote better outcomes among children with autism. This study was designed to examine pre‐service teachers' attitudes towards children with autism. Results indicated that pre‐service teachers had positive attitudes towards children with autism. The pre‐service teachers' attitudes were found to be influenced by their gender, academic major and different types of exposure to children with autism.     

人机交互技术支持的自闭症儿童评估——基于修订版C-PEP量表与人机交互游戏的评估结果对比

评估是自闭症儿童干预治疗的重要前提。基于此,文章聚焦于人机交互技术支持的自闭症儿童评估问题,从知觉、手眼协调、认知表现、关系情感等四个维度,对比了《心理教育评定量表中文修订版C-PEP》(简称"修订版C-PEP量表")与人机交互游戏的评估结果,发现:人机交互游戏评估结果能正确反映修订版C-PEP量表的评估结果,且评估更加精准、更能吸引自闭症儿童的注意力并做出反应。文章验证了人机交互游戏评估的可行性和有效性,可为自闭症儿童评估、人机交互游戏开发提供参考。     

Imaginative interaction with Internet games. For children and teachers

This article explores children's imaginative interaction with Internet games in the belief that an understanding of children's life experiences is essential to effective teaching and learning within the classroom. It is underpinned by the idea that imaginative play is, at least in some part, the work of children undertaking identity practice. It focuses on a small group case study of 8‐ and 9‐year‐old children, from diverse cultural backgrounds, who were regular players on free‐access commercial Internet games. As children frequently perform imaginative narrative play both privately and in groups triggered from experiences with novels, films and television, the research initially focused on whether similar activities resulted from experiences with commercially sponsored free Internet game sites. If so, to what extent might these texts also influence children's creative output? To explore this, the children attended a weekly after‐school computer club during which they played on Internet games. During the course of the club sessions, each child was observed and interviewed about the experiences they had resulting from the gameplay. Through consideration of the children's play and opinions, the teacher researcher developed valuable insights into her students and their worlds to the benefit of her practice.     

Early Numerical Competencies in 5- and 6-Year-Old Children With Autism Spectrum Disorder

Research Findings: To date, studies comparing the mathematical abilities of children with autism spectrum disorder (ASD) and typically developing children are scarce, and results remain inconclusive. In general, studies on this topic focus on mathematical abilities learned from elementary school onward, with little attention for possible precursors at younger ages. The current exploratory study focused on the important developmental period of preschool age, investigating 5 early numerical competencies in 30 high-functioning children with ASD and 30 age-matched control children: verbal subitizing, counting, magnitude comparison, estimation, and arithmetic operations. Children were examined at 5 or 6 years of age, attending the 3rd and final year of preschool. Overall, rather similar early number processing was found in children with and without ASD, although marginally significant results indicated a weaker performance of children with ASD on verbal subitizing and conceptual counting. Practice or Policy: Given the pervasiveness and impact of ASD on other domains of functioning, it is important to know that no general deficits in early numerical competencies were found in this study. However, some downward trends in mathematics performance were identified in children with ASD, which can serve as the basis for additional research in this field.     

Effects of a specific numeracy educational program in kindergarten children: A pilot study

The present study compared the relative effects of 2 educational programs on kindergarten children. The experimental group took part in a numeracy-specific program, which focused on conceptual knowledge. Children were taught basic numerical skills such as understanding and handling numbers and their relations as well as counting principles. The control group participated in a more general program which involved training in procedural skills.

Results revealed significant learning effects in the children who participated in the numeracy program particularly for counting sequences and mental calculation. Since neither group was explicitly trained in mental calculation, our findings suggest that a learning transfer took place in the experimental group.     

Neurocognitive function and joint attention ability in young children with autism spectrum disorder versus developmental delay

Studies have shown that young children with autism are not impaired on prefrontal tasks relative to what would be expected for their mental age, raising questions about the executive dysfunction hypothesis of autism. These studies did not include ventromedial prefrontal tasks, however. The present study examined whether young children with autism spectrum disorder (ASD) are impaired on ventromedial prefrontal tasks, and whether performance on such tasks is correlated with a core autism symptom, joint attention ability. Seventy-two 3- to 4-year-old children with ASD, 34 3- to 4-year-old developmentally delayed children, and 39 12- to 46-month-old typically developing children, matched on mental age, were administered ventromedial and dorsolateral prefrontal tasks and joint attention tasks. Children with ASD performed similarly to comparison groups on all executive function tasks, indicating that at this early age, there is no autism-specific pattern of executive dysfunction. Ventromedial, but not dorsolateral, prefrontal task performance was strongly correlated with joint attention ability, however. The ventromedial prefrontal cortex is hypothesized to play a role in the development of joint attention and possibly some aspects of the autistic syndrome.     

自闭症谱系障碍儿童与普通儿童入学成熟水平的比较

从全国幼儿园大班儿童入学成熟水平标准化测量数据库中的四万多个样本中随机抽取100名普通儿童,同时选取47名自闭症谱系障碍儿童入学成熟水平的有效数据,探究自闭症谱系障碍儿童与普通儿童在入学成熟水平方面的差异。结果表明,自闭症谱系障碍儿童在视知觉能力、听知觉能力、运动协调能力、知觉转换能力、数学准备能力、语言沟通能力、社会适应能力、学习品质八个入学成熟水平维度上均显著低于普通儿童。参照本研究结果,可为随班就读的自闭症谱系障碍儿童做好全面科学的入学准备提出合理建议。     

Impact of Sensory Processing on School Performance Outcomes in High Functioning Individuals with Autism Spectrum Disorder

Difficulty processing sensory information may impede progress in school for students with autism spectrum disorder (ASD). We explore the relationship between sensory processing and school performance in 26 high‐functioning youths with ASD and 26 controls (age 8–14) using measures of sensory, social, cognitive, and academic functioning. In the ASD group, bivariate Pearson correlations indicated a significant positive relationship between intelligence quotient (IQ) and the School Competence Scale (SCS) of the Child Behavior Checklist (CBCL), and a significant negative relationship between Dunn's Sensory Processing Framework and SCS scores. Final hierarchical multiple linear regression model accounting for SCS scores in ASD included IQ, ADHD symptoms, and sensory features. An interaction between increased sensory sensitivity with reduced sensory avoidance behaviors explained the greatest amount of variance in SCS, meaning school performance is lowest for children with greater hypersensitivity and fewer avoidance behaviors. Results indicate a strong impact of sensory processing on school performance in ASD.     

From eligibility assessment to intervention for students with autism spectrum disorder

The mean age of identification for autism spectrum disorder (ASD) occurs during the months before children enter kindergarten. The incidence and prevalence of “autistic behaviors” in the general population are not fully understood, however, census-matched studies of these behaviors have yielded important new data. As children presenting with behaviors characteristic of ASD enter school, school psychologists are increasingly faced with the assessment and determination of individuals with disabilities improvement act (IDEIA) eligibility, often with students yet to be formally diagnosed with ASD. In many US states, a clinical diagnosis of ASD is not required for a child's eligibility to be served under the category of other health impaired as autism. Nor does a diagnosis of ASD automatically qualify a student as eligible under IDEIA. Eligibility hinges on educational impact. This article briefly reviews the current state of knowledge as it relates to understanding and evaluating children with suspected ASD in the schools, offers a framework for assessment, and discusses a set of proposed guidelines to assist in effectively utilizing assessment data in the development of individualized education plan goals.     

Learning to Count: Structured Practice With Spatial Cues Supports the Development of Counting Sequence Knowledge in 3-Year-Old English-Speaking Children

Research Findings: Children who speak English are slower to learn the counting sequence between 11 and 20 compared to children who speak Asian languages. In the present research, we examined whether providing children with spatially relevant information during counting would facilitate their acquisition of the counting sequence. Three-year-olds (n = 54) who played a 1–20 number board game in which numbers were grouped by decade into 2 rows learned significantly more of the counting sequence than children who played a linear version of the game or those who were in the control group. Both the row and linear versions of the game helped children improve their performance on an object counting task. Children’s performance on a number line task did not show an effect of either game intervention. Practice or Policy: These results suggest that counting practice that includes spatially informative cues can facilitate young English-speaking children’s learning of the challenging number sequence from 11 to 20.     

The acceptance and rejection of peers with ADHD and ASD in general secondary education

The authors focused on analyzing (a) peer acceptance and peer rejection of typically developing students, students with attention deficit hyperactivity disorder (ADHD), and students with autism spectrum disorder (ASD) in general secondary education; (b) attitudes of general secondary-aged students toward peers with ADHD and ASD; and (c) the relationship between peer acceptance/rejection and students' attitudes. A cross-sectional study was performed (n = 437 typically developing students, n = 28 students with ADHD/ASD; range = 12–15 years old). Students were asked to indicate with whom they prefer to hang out or preferably not want to hang out (peer acceptance and peer rejection). Attitudes were assessed using the Attitude Survey Toward Inclusive Education. Multilevel analysis showed significant differences between students with ADHD and ASD and typically developing peers on peer acceptance and higher on peer rejection. Second, typically developing peers showed neutral attitudes toward peers with ADHD or ASD. Third, the results showed that students' rejection and attitudes of peers significantly relate to each other.     

Exploration of teaching strategies that stimulate the growth of academic skills of children with ASD in special education school

The cognitive growth of children with developmental disorders, like autism, can be seriously impaired due to the disorder. If so, in the Netherlands, these children can attend special schools where they are treated to ameliorate disorder symptoms and to stimulate cognitive growth. The aim of this paper was to identify teaching strategies that stimulate the growth of academic skills in children diagnosed with autism, attending a special needs education school in the Netherlands. Findings showed that the strongest underlying teaching strategy that predicted the academic growth of the children on the autism spectrum in the short and long term was the provision of structure in place, time and activities. It was further found that long-term academic gains were partly predicted by the emotional support from their teachers. The implications of the findings are discussed.     

Chinese Preschoolers’ Mental Number Line and Mental Number Distance: Valid Characteristics Using Dirichlet Process Gaussian Mixture Model

Research Findings: In this research, 487 Chinese children age 3 to 5 years took part in a number line estimation task. This task was used to assess children’s estimation accuracy and their estimation patterns along a number line in two different estimation circumstances. Situation A had the same line lengths for different numeric ranges, whereas situation B held the ratio of line lengths to numeric ranges constant. There were also three different number ranges (1–5/10/20). A new mathematical modeling method was proposed, where the two-dimensional estimation patterns of one child would be modeled as points in a higher dimensional space. Then the Dirichlet process Gaussian mixture model was applied to dynamically estimate the number of classes and assemble the different points into discrete classes based on distance. Three conclusions were drawn as follows: (a) significant differences were found within children for different ages and number ranges; (b) Chinese preschoolers had more estimation patterns than just linear pattern and logarithmic pattern, especially in small number ranges; and (c) mental number distance played an important role in their estimation patterns. Practice or Policy: Implications for early mathematic instruction on children’s understanding of mental number line are discussed.     

Mathe mit der Matte – Verkörperlichtes Training basisnumerischer Kompetenzen

Basic numerical representations are seen as the building block for the successful development of more complex numerical and arithmetic competencies. Extending previous studies focusing on improving basic numerical representations by means of embodied training schemes, the current study focused on an embodied training of children’s place-value understanding. In this vein, 49 secondgraders were trained on solving a number line estimation task by stepping on different fields of a dance mat allowing for separate estimations of tens and units with more effort needed to step on the tens. In a partially randomized cross-over design, two control conditions were used to controll for training effects caused exclusively by the numerical content trained or the use of the dance mat. Interestingly, results revealed specific training effects after both the embodied and the control conditions. However, training effects were significantly more pronounced after the embodied training, thereby providing further evidence for the benefit of an embodied training of the place-value structure of the Arabic number system.     

Is 27 a big number? Correlational and causal connections among numerical categorization, number line estimation, and numerical magnitude comparison

This study examined the generality of the logarithmic to linear transition in children's representations of numerical magnitudes and the role of subjective categorization of numbers in the acquisition of more advanced understanding. Experiment 1 (49 girls and 41 boys, ages 5-8 years) suggested parallel transitions from kindergarten to second grade in the representations used to perform number line estimation, numerical categorization, and numerical magnitude comparison tasks. Individual differences within each grade in proficiency for the three tasks were strongly related. Experiment 2 (27 girls and 13 boys, ages 5-6 years) replicated results from Experiment 1 and demonstrated a causal role of changes in categorization in eliciting changes in number line estimation. Reasons were proposed for the parallel developmental changes across tasks, the consistent individual differences, and the relation between improved categorization of numbers and increasingly linear representations.     

Educators’ Challenges of Including Children with Autism Spectrum Disorder in Mainstream Classrooms

Although children with autism spectrum disorder (ASD) are increasingly being placed within mainstream classes, little is known about the challenges that teachers encounter with including them as full participants in the class. This qualitative study draws on a purposive sample of 13 educators who have experience teaching children with ASD within two cities in Ontario, Canada. Through in-depth interviews we asked about teachers’ challenges regarding creating an inclusive environment within their classroom. Teachers reported several challenges, including: understanding and managing behaviour; socio-structural barriers (i.e., school policy, lack of training and resources); and creating an inclusive environment (i.e., lack of understanding from other teachers, students and parents). Teachers recommend that more resources, training and support are needed to enhance the education and inclusion of children with ASD.     

The use of visual schedules and work systems to increase the on‐task behaviour of students on the autism spectrum in mainstream classrooms

Apparent differences in executive function can lead to challenges for students on the autism spectrum in mainstream settings. Difficulties with staying on‐task and transitioning between tasks and task elements can interfere with students’ participation in educational activities and lead to stress and anxiety. While the use of visual supports, such as visual schedules and work systems, has been shown to be effective in supporting students to stay on‐task in special education and autism‐specific settings, there is little research to support the use of these strategies by teachers in mainstream classrooms. This study evaluated the use of visual schedules and work systems in supporting four students on the autism spectrum to stay on‐task and work independently in a mainstream setting. These strategies were implemented by teachers as inclusive practices, and evaluated using observations within the natural classroom environment to examine their feasibility in mainstream settings. All participants demonstrated improvements in on‐task behaviours. Results for other, secondary, dependent variables were mixed, with some students showing reduced off‐task behaviours and increased productivity. The implications for clinical practice and future research directions are discussed.