An essential understanding of the uses and practices of algebra remain out of reach for many students. In this book, award-winning researcher Dr. Nicole Fonger addresses the issue of how to support all learners to experience algebra as meaningful. In a highly visual approach, the book details four research-based lenses with examples from 9th-grade…

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

This paper uses a comparative methodology to examine the teaching of abstraction in two mathematics lessons, in Denmark and England. In doing so it aims to extend previous work by the authors, examining the effect of local, cultural issues on the form of teaching in order to understand how these also affect the subject content too. The analysis…

In this book, the author demonstrates how teachers can transform the experience of K-12 students and help them become more knowledgeable and more creative in their thinking. At the core of this transformative process is imagination which can become the heart of effective learning if it is tied to education's central tasks. The book offers an…

This article presents the "concrete semiconcrete abstract" (CSA) teaching sequence for teaching basic math skills to students with and without learning disabilities. Guidelines include providing a minimum of nine instructional lessons (three at each level), each with four lesson steps. Validation of the CSA sequence and lesson format with 15…

Lectures, outlines, and class exercises are collected from 16 experienced teachers of general semantics in colleges, adult education, and management training. Among the subject areas explored in the sample lessons are high-level abstractions, extensional-intensional meanings, the "is" of identity, listening, classification, labeling, general…

This seventeenth in a series of twenty-nine learning modules on instructional execution is designed to give secondary and postsecondary vocational teachers help in developing competencies needed in demonstrating a concept or principle. The terminal objective for the module is to demonstrate a concept or principle in an actual school situation.…

Presents three typical lab activities involving the breathing rate of fish, the behavior of electromagnets, and tests for water hardness to demonstrate how labs can be modified to teach process skills. Discusses how basic concepts about experimentation are developed and ways of generating and improving science experiments. Includes a laboratory…