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…

We compared the effects of two approaches to decoding on the word reading skills of struggling first-grade students: decontextualized, teacher directed decoding practice with manipulative letters and embedded, incidental decoding practice. Participants were 98 students at risk for reading disability. We randomly assigned participants to three…

Chromosomes, alleles, chromatids, genotype, phenotype, mitosis, meiosis, fertilization--this vocabulary can be overwhelming, confusing, and difficult for students to tie together. However, since these terms are commonplace in the high school biology classroom, and are the basis for understanding both DNA and heredity, students must understand…

Students enjoy origami and like making everything from paper cranes to footballs out of small, colorful squares of paper. They can invent their own shapes and are intrigued by the polyhedrons that they can construct. Paper folding is fun, but where is the math? Unless teachers develop lessons that address mathematical objectives, origami could be…

Posing mathematics problems in different ways will raise students' level of cognitive demand because it will push them to think more deeply about mathematics. By engaging students in a task that requires them to determine their own solution strategies, students will gain a deeper understanding of the mathematical concept explored through the task.…

As interactive screens (e.g., tablet computers, smartphones) continue to enter the homes of young children, it becomes increasingly important to understand the impact of these technologies on development. Some studies suggest that while traditional television and videos hold little educational value for toddlers, young children may be able to…

This paper is a meta-analysis that synthesizes the findings from 66 research reports examining the effects of virtual manipulatives on student achievement. Of the 66 reports, 32 contained data yielding 82 effect size scores with effects of virtual manipulatives on student achievement. The 66 reports also contributed to a conceptual analysis of…

Card sorting has the potential to provide opportunities for exploration of a variety of topics and levels. In a card-sorting task, each participant is presented with a set of cards--each of which depicts a relationship--and is asked to sort the cards into categories that make sense to him or her. The concept of function is critical to…

Teaching the fundamentals of robotics to computer science undergraduates requires designing a well-balanced curriculum that is complemented with hands-on applications on a platform that allows rapid construction of complex robots, and implementation of sophisticated algorithms. This paper describes such an elective introductory course where the…