By providing students with a highly interactive and hands-on learning experience, robotics promises to inspire a new generation of mathematical learning. This paper aims to review the empirical evidence on the application of robotics in mathematics education and to define future research perspectives of robot-assisted mathematics education. After…

This paper illustrates how information collected through interviews can develop a richer understanding of the assignment mechanism, which can result in more plausible causal effect estimates from observational studies and provides a roadmap for sensitivity analysis. Focusing on the issue of assignment to algebra in 8th grade, the author shows how…

We focus on the problem of ignoring statistical independence. A binomial experiment is used to determine whether judges could match, based on looks alone, dogs to their owners. The experimental design introduces dependencies such that the probability of a given judge correctly matching a dog and an owner changes from trial to trial. We show how…

To reflect on the mathematics achievement of children engaging "Algebra and Analogies for Kids," the teacher researcher will explore the following inquiry: What happens when kids display analogical thinking in an algebra project? Specifically, the proposed study will examine the reasoning of five children in portfolios of best works and selected…

The purpose of this paper is threefold. First, the description of a research plan for a large-scale computer adaptive testing program migrating from a network to Internet version is presented. The general areas needed in such a research plan include: (1) comparability studies; (2) psychometric analyses; (3) development projects; (4) validity…

A pentagonal model, based on the star model of function understanding of C. Janvier (1987), is presented as a framework for the design and interpretation of research in the area of learning the concept of mathematical function. The five vertices of the pentagon correspond to five common representations of mathematical function: (1) graph; (2)…