Most cross-cultural research on Chinese and American children's early mathematical competencies has focused on their understanding of number and number operations. The present study broadened the range of tasks assessed to include geometric shapes, problem solving and logical reasoning, as well as number and numerical operations, in an effort to…

Least squares regression is the most common method of fitting a straight line to a set of bivariate data. Another less known method that is available on Texas Instruments graphing calculators is median-median regression. This method is proposed as a simple method that may be used with middle and high school students to motivate the idea of fitting…

In this paper we explore issues surrounding university students' experiences of statistics drawing on data related to learning statistics as a compulsory component of psychology. Over 250 students completed a written survey which included questions on their attitudes to learning statistics and their conceptions of statistics. Results indicated…

This exploratory study, a one group pretest-posttest design, investigated the development of elementary preservice teachers' understandings of distribution as expressed in the measures and representations used to compare data distributions. During a semester-long mathematics methods course, participants worked in small groups on two statistical…

Learning how to use mathematics curriculum materials to create learning opportunities is an important part of the work of teaching. This paper presents findings from a study involving 15 elementary preservice teachers enrolled in, first, a content and, then, a methods course, and discusses the extent to which three curriculum interventions…

Fiona was a 14-year-old 7th-grader whose academic history, frequent behavior problems, and low levels of academic engagement put her at-risk for academic failure. This study's purpose was to examine the effectiveness of a systematic process for identifying the function of her problem behaviors and designing interventions that directly addressed…

Analysis of variance (ANOVA), a technique included in many introductory statistics courses, analyzes the relationship between a quantitative dependent variable and one or more independent qualitative variables. The nature of the relationship is expressed in a model with unknown parameters. Many textbooks emphasize the mechanics of the technique…

Unless the sample encompasses a substantial portion of the population, the standard error of an estimator depends on the size of the sample, but not the size of the population. This is a crucial statistical insight that students find very counterintuitive. After trying several ways of convincing students of the validity of this principle, I have…

This paper discusses the types of word problems represented in Malaysia's primary one, primary two and primary three mathematics texts based on Van De Walle's model (1998) in the operations of addition and subtraction. A test was constructed to measure students' success based on this model. The data from this study indicates that the Malaysian…

Dealing with the behavioral and academic problems of children with co-occurring learning disabilities and attention-deficit/hyperactivity disorder (AD/HD) can be challenge for educators. One characteristic often associated with AD/HD is an inability to remain engaged in tasks for long periods of time. This lack of attentional focus often results…

Private paid tutoring is one of the most common approaches of remedial instruction to improve school performance of poorly performing pupils. The expansion of private tutoring was affirmed in a study with 904 pupils in Luxembourg. 23% of the participants reported that they receive tutoring at present, mainly in the subject matter of Mathematics.…

An alternative to the IQ-achievement discrepancy model for identifying students with learning disabilities is the response to intervention (RTI) model. There is a growing literature base in support of the RTI model, and within the reauthorization of IDEA there is an allowance for an RTI approach whereby RTI "may" be used by school…

This paper reports on the mathematical thinking of participants of a long-term study, now in its 17th year, who did mathematics together through their public school and early university years. In particular, it describes how fundamental ideas and images of a cohort group of students are elaborated and presented in symbolic expressions of…

A case study, originally set up to identify and describe some benefits and limitations of using dynamic web-based geometry sketches, provided an opportunity to examine peer interactions in a lab. Since classes were held in a computer lab, teachers and pairs faced the challenges of working and communicating in a lab environment. Research has shown…

Near the conclusion of their final term in the calculus sequence at The United States Military Academy, cadets are given a week long group project. At the end of the week, the project is briefed to their instructors, classmates, and superior officers. From a teaching perspective, the goal is to encapsulate as much of the course as possible in one…