This article details how certain mathematical "discoveries" that Cavazos' fourth graders made were recorded throughout the year. Cavazos invited a math professor, a biologist, a literacy professor, a chemist, a statistician, and an engineering student, as well as their school principal and computer lab technician, both of whom are…

Two collaborative writing partners sought to deepen their understanding of transformative learning by conducting several spirals of grounded theory research on their own collaborative relationship. Drawing from adult education, business, and social science literature and including descriptive analysis of their records of activity and interaction…

The process of collaborative inquiry learning requires maintaining a mutual understanding of the task, along with reaching consensus on strategies, plans and domain knowledge. In this study, we explore how different supportive measures affect students' consensus-building process, based on a re-analysis of data from four studies. We distinguish…

Presents two worksheets that ask students to count and classify the triangles that can be formed with a given total number of toothpicks or a given number of toothpicks for one side of the triangle. A third worksheet asks students to identify patterns observed during the investigations. Provides reproducible worksheets. (MDH)

Uses small axiom systems to teach logic and reasoning to first year mathematics students. Incorporates a collaborative technique to train students to write formal arguments in a nonintimidating atmosphere by applying logic informally to small axiomatic systems. Provides examples of student-designed systems. (MDH)

Presents activities that utilize representations of the side, front, and top views of three-dimensional configurations of blocks to develop spatial-visualization skills and aspects of the concept of function. Provides worksheets of these open-ended investigations. (MDH)

Presents a series of activities that help students discover the Pythagorean Theorem and extension activities to explore various dissection proofs of the Pythagorean Theorem. Includes reproducible worksheets. (MDH)

Describes the "number 2 arithmetic challenge," an activity in which students score points by creating examples using the number 2 that satisfy an unknown rule. Computers are utilized to verify and record examples. Conflicts with computer responses create situations to explore negative numbers, fractions, mixed numbers, the order of…

Describes four activities for grade levels K-3, 4-5, and 6-8 and for the family that explore statistical concepts using a manipulative familiar to students-SKITTLES candies. Concepts explored include frequency graphs, data collection and analysis, probability, measures of central tendency, averaging, and correlation coefficients. Includes…