Mathematical Communication, Conceptual Understanding, and Students' Attitudes Toward Mathematics

This action research study of my 8th grade classroom investigated the use of mathematical communication, through oral homework presentations and written journals entries, and its impact on conceptual understanding of mathematics. This change in expectation and its impact on students’ attitudes towards mathematics was also investigated. Challenging my students to communicate mathematics both orally and in writing deepened the students’ understanding of the mathematics. Levels of understanding deepened when a variety of instructional methods were presented and discussed where students could comprehend the ideas that best suited their learning styles. Increased understanding occurred through probing questions causing students to reflect on their learning and reevaluate their reasoning. This transpired when students were expected to write more than one draft to math journals. By making students aware of their understanding through communicating orally and in writing, students realized that true understanding did not come from mere homework completion, but from evaluating and assessing their own and other’s ideas and reasoning. I discovered that when students were challenged to communicate their reasoning both orally and in writing, students enjoyed math more and thought math was more fun. As a result of this research, I will continue to require students to communicate their thinking and reasoning both orally and in writing.

Confidence in Communication: Can My Whole Class Achieve This?

In this action research study of my classroom of Algebra 2 students, I investigated the confidence levels and communication skills of these students. I discovered that students who have higher confidence levels are comfortable in their classroom situations. The students with increased levels of confidence also have more open communication with those they respect. As a result of this research, I plan to continue with the implementation of communication skills. I will also look to next school year as a place to start executing a plan to be more available and involved in the active learning process of my students.

The Ethics of Implementation: Institutional Remedies and the Lawyer's Role

The issue addressed in this article is whether and to what extent a lawyer has an ethical responsibility to pursue implementation of the remedy in institutional reform litigation. Institutional reform litigation refers to cases in which an individual or class of individuals sues a large organization in order to vindicate constitutional or statutory rights. The types of cases with which this article is concerned are the "public law" type, such as school desegregation, prisoners' rights and patients' rights cases, although included under the rubric of institutional reform can be, inter alia, antitrust, reapportionment and bankruptcy cases. The implementation stage of institutional reform litigation arises after an individual or class of individuals prevails at the liability stage, or pursuant to a settlement, and a court orders the defendant organization to change in order to vindicate the plaintiffs' rights. At that point, the defendant organization, whether it be a prison, mental hospital or school district, usually has the burden of implementing the order. One conclusion drawn is that the ethical duty of the lawyer must always be consistent with the lawyer's "special responsibility for the quality of justice."