One of the most important jobs mathematics teachers have is supporting students and helping them to develop confidence in their own capabilities as mathematical thinkers. Children who do not believe in themselves are unlikely to share their ideas, persevere through challenges, or take risks that lead to new insights. Yet many students have no…

The EPILLAW Paradigm is a practical method for developing writing skills. It consists of an original nine-level taxonomy and sequential methodology of listening, speaking, writing and reading. In this method, the development of writing precedes the development of reading. The work consists of two books. In the introductory book, the author…

Understanding logical necessity is an important component of proof and reasoning for teachers of grades K-8. The ability to determine exactly where young students' arguments are faulty offers teachers the chance to give youngsters feedback as they progress toward writing mathematically valid deductive proofs. As defined, logical necessity is the…

In this article, we address the ways children collaborate to inquire about text in the context of group discussions, addressing the question: How do students stay on-topic and sustain their discussions of text? We speculate that a framework for dialogic discourse, referred to as exploratory talk, allows students to understand that discussions of…

This article presents a lesson called Memory Palaces. A memory palace is a memory tool used to remember information, usually as visual images, in a sequence that is logical to the person remembering it. In his book, "In the Palaces of Memory", George Johnson calls them "...structure(s) for arranging knowledge. Lots of connections to language arts,…

This article introduces a modification of the sentence completion task that acquaints students with various types of informational text structures (e.g., cause-effect, compare-contrast) and challenges their higher order reading and writing skills. When the individual sentences comprising an expository paragraph are intermingled with unrelated…