Assesses the effectiveness of a short metacognitive intervention combined with algorithmic cognitive instruction in an elementary school setting. Children in the metacognitive program achieved significant gains in trained metacognitive skills, and performed better on trained cognitive skills compared with the other conditions. (Contains 44…

Discusses briefly the call for mathematical literacy and the need for a model that articulates the fluid and dynamic nature of this form of literacy. Presents such a model which uses two concentric circles, one depicting the four processes of mathematical literacy (representing, manipulating, reasoning, and problem solving) and enablers that…

Investigates the effects of perceived mathematics ability (PMA) on the learning process with special reference to undergraduates (N=147) following an elementary statistics (ES) course. Concludes that PMA itself is not a good predictor of ES performance; rather, its effect may be challenged through interest, expected grade, and motivation to do…

A program on calculus is conducted, which helps students learn about inherent differentiation through a study of mathematical functions, while simultaneously reinforcing their understanding of functional concepts. This process develops their mathematical experience in the field of calculus and in other advanced quantitative programs.

An initial discussion of the use of recursive and explicit reasoning in developing mathematical power and the types of tasks that encourage students to reflect on the advantages and limitations are described. Some important considerations for classroom discussion when using these various tasks are discussed.

The problem considered in this paper demonstrates that quite profound and inherently fascinating mathematics is accessible to students who have a sound number sense and deep conceptual understanding of very basic mathematics. This is one of many reasons why we should teach mathematics in ways that promote these attributes in students.

National Assessment of Educational Progress (NAEP) shows a deficiency in U.S. students' mathematics performance and computation skills. The students using calculators in school classrooms result in lower math scores than students who never use them.

The factors correlating to the student success in physical chemistry courses are investigated. The influence of mathematics ability on student performance in class is examined.

This paper considers rules for multiplying exponential and radical expressions of different bases and exponents and/or roots. This paper demonstrates the development of mathematical concepts through the application of connections to other mathematical ideas. The developed rules and most of the employed connections are within the realm of secondary…

This article considers skills and abilities of young children with number in the areas of cardinality and ordinality. Responses to number tasks by a sample of 3- and 4-year-old children are described to outline their differing approaches to determining the numerosity of a set, and to establish their application of ordinality language to describe…

This article describes a game involving poly spots, frog bean bags, and a basket that can be used to assess locomotor activities, e.g., hopping and throwing, while also developing teamwork strategies and mathematical abilities.

These proceedings contain the papers of the 14th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2017), 18-20 October 2017, which has been organized by the International Association for Development of the Information Society (IADIS) and endorsed by the Japanese Society for Information and Systems in…

Geometry is the study of shape and space. Without spatial ability, students cannot fully appreciate the natural world. Spatial ability is also very important for work in various fields such as computer graphics, engineering, architecture, and cartography. A number of studies have demonstrated that technology has an important potential to develop…

At the foundation of the Educational Planning and Assessment System (EPAS) programs are ACT's College Readiness Standards. The Standards offer learning strategies that are likely to help students meet state standards and acquire the more advanced concepts associated with higher EPAS test scores and, more importantly, increased college readiness.…

Some students--and parents--think math and science are not too important for their future. As everyday life becomes more dependent on technology, most people will need a better background in math and science to succeed in today's global economy. To get high-paying jobs in some of California's fastest-growing occupations, a strong background in…