As a follow up to the National Council on Teacher Quality (NCTQ) national studies of how well elementary teachers are prepared to teach reading and mathematics, NCTQ looked at preparation in both subjects in all undergraduate teacher preparation programs in Utah. This study evaluated Utah's nine undergraduate elementary teacher preparation…

This action research combined qualitative and quantitative techniques to investigate two different types of writing assignments in an introductory undergraduate statistics course. The assignments were written in response to the same set of prompts but in two different ways: homework journal assignments or initial posts to a computer discussion…

In mathematics, it is not just the "how," the procedures for solving problems, that is important, but the "why," the underlying concepts, Perla Myers explains. A good mathematical foundation is becoming crucial for a large number of careers in science, engineering, medicine, technology, and even business. However, the applications of mathematics…

When first encountered, inverse square laws can damage the confidence of beginning physics students whose maths skills are uncertain. Engaging in practical exercises that help them work with the idea can be a great help. We have used the following apparatus for a number of years and our students understand and enjoy the exercise.

Beyond Crossroads addresses many of the challenges facing American higher education and offers members of AMATYC an ideal opportunity to respond energetically and constructively to these challenges. Notwithstanding the many efforts to improve secondary schooling, most students enter postsecondary education well behind where they should be in…

In 4 experiments, the authors examined the use of the hands in simple arithmetic tasks. Experiments 1 and 2 demonstrated that pointing increases both accuracy and speed in counting arrays of items, whether those items are identical or distinctive. Experiment 3 demonstrated that individuals tend to nod their heads when not allowed to point and that…

Previous research, which typically overestimated competence, indicates that preschoolers have an unreliable or a localized understanding of the addition-subtraction inverse principle (e.g., 2 + 1 - 1 = 2). Forty-eight Taiwanese 4- to 6- year-old participants were tested with a relatively conservative measure to gauge when a reliable and general…

A sample (n=48) of eight-year-olds with specific language impairments is compared with age-matched (n=55) and language matched controls (n=55) on a range of tasks designed to test the interdependence of language and mathematical development. Performance across tasks varies substantially in the SLI group, showing profound deficits in production of…

New Mexico Mathematics Content Standards, Benchmarks, and Performance Standards identify what students should know and be able to do across all grade levels, forming a spiraling framework in the sense that many skills, once introduced, develop over time. While the Performance Standards are set forth at grade-specific levels, they do not exist as…

In 12 audio taped sessions, three kindergarten children engaged algebra in a teaching for understanding, thematic project. Toni, Asa, and Cornel had one-on-one lessons dealing with simple natural numbers, patterns, and relationships. Along the way, each child studied one of Toni Morrison's Who's got game books to explore repetition patterns in…

Many middle-school students struggle with decimals and fractions, even if they do not have a mathematical learning disability (MLD). In the present longitudinal study, we examined whether children with MLD have weaker rational number knowledge than children whose difficulty with rational numbers occurs in the absence of MLD. We found that children…

With the current focus in mathematics education on the importance of developing students' conceptual understanding, fluency with the language of mathematics, critical thinking, and working mathematically, teachers are constantly expected to design challenging and investigative tasks that can engage and motivate students in their learning of…

Passive and active visuospatial working memory (VSWM) were investigated in relation to maths performance. The mental rotation task was employed as a measure of active VSWM whereas passive VSWM was investigated using a modified Corsi Blocks task and a matrix pattern task. The Raven Progressive Matrices Test measured fluid intelligence. A total of…

The effectiveness of the "Tools of the Mind (Tools)" curriculum in improving the education of 3- and 4-year-old children was evaluated by means of a randomized trial. The "Tools" curriculum, based on the work of Vygotsky, focuses on the development of self-regulation at the same time as teaching literacy and mathematics skills…

The paradoxical findings about students' mathematics self-concept and academic achievement shown in international and comparative studies prompt this exploration of the function and development of mathematics self-concept. That is, when examining data within individual countries, a positive relationship exists between students' self-concept and…