This study aimed to examine the effects of remedial instruction on low-SES & low-math first graders' basic mathematics competence as well as their interest and confidence in mathematics learning. Fourteen participants of low-SES & low-math were selected from two classes totaling fifty-seven first graders at a public elementary school in…

The purpose of this study was to investigate whether physicality (actual and active touch of concrete material), as such, is a necessity for science experimentation learning at the kindergarten level. We compared the effects of student experimentation with Physical Manipulatives (PM) and Virtual Manipulatives (VM) on kindergarten students'…

Children's understandings of the shape and relative sizes of the Earth, Sun and Moon have been extensively researched and in a variety of ways. Much is known about the confusions which arise as young people try to grasp ideas about the world and our neighbouring celestial bodies. Despite this, there remain uncertainties about the conceptual models…

Today's mathematics standards require teachers to use concrete math manipulatives (CMM) to increase the proficiency of students, but many upper elementary teachers fail to use these resources. The effects of this resource disuse may decrease student learning potential and impede successful standardized test results. This case study allows leaders…

This paper reports an exploration into the use of a combination of semiotic resources when teaching the part-whole model of fractions. The study involved a single case study of one class teacher and six students in an Australian primary classroom. Using video as the predominate research tool it was possible to describe how gesture and language…

Number sense is critical to the development of higher order mathematic abilities. However, some children have difficulty acquiring these fundamental skills and the knowledge base of effective interventions/remediation is relatively limited. Based on emerging neuro-scientific research which has identified the association between finger…

Students in U.S. public schools have consistently recorded substandard scores on measures of school performance in mathematics. This substandard performance could adversely affect the nation's future economic competitiveness, growth, and welfare. Educational and political leaders have sought school reforms that will result in U.S. students scoring…

This hands-on project uses a paper helicopter to teach students how to distinguish between common and special causes of variability when developing and using statistical process control charts. It allows the student to experience a process that is out-of-control due to imprecise or incomplete product design specifications and to discover how the…

The high-performance liquid chromatography (HPLC) experiment, most often done in the undergraduate analytical instrumentation laboratory course, generally illustrates reversed-phase chromatography using a commercial C[subscript]18 silica column. To avoid the expense of periodic column replacement and introduce a choice of columns with different…

We present a research report on addition and subtraction conducted with Down syndrome students between the ages of 12 and 31. We interviewed a group of students with Down syndrome who executed algorithms and solved problems using specific materials and paper and pencil. The results show that students with Down syndrome progress through the same…

The purpose of this paper is to explain the importance and benefits of math manipulatives. For decades, the National Council of Teachers of Mathematics has encouraged school districts nationwide to use manipulatives in mathematical instruction. The value of manipulatives has been recognized for many years, but some teachers are reluctant to use…

Teachers are tasked with supporting students' learning of abstract mathematical concepts. Students can represent their mathematical understanding in a variety of modes, for example: manipulatives, pictures, diagrams, spoken languages, and written symbols. Although most students easily pick up rudimentary knowledge through the use of concrete…

Instilling an appreciation of nature in our youth is an important precursor to environmental protection and support for sustainability. Research has shown that involving students in environmental projects improves their motivation, skills, and achievement on standardized tests, This document contains images of the body parts of small mammals with…

Build It Up! is an engaging activity that integrates science with mathematics through a process that encourages problem-solving, principles of design, creativity, and developing a sense of one's community. This activity, aimed at third- and fourth-grade students, allows students to use manipulatives to design, construct, and test buildings they…

Mathematics problem solving provides a means for obtaining a view of young children's understanding of mathematics as they move through the early childhood concept development sequence. Assessment information can be obtained through observations and interviews as children develop problem solutions. Examples of preschool, kindergarten, and primary…