Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He outlines powerful diagnostic methods for analyzing student work and providing timely, specific, and meaningful…

In interlanguage, the transitional state reaching from one's native language to a given target language, phonological, morphological, syntactic, lexical, sociocultural, or psycholinguistic errors may be generated and systematized by the process of fossilization. Depending on the amount of time needed for remediation, fossilized features may be…

Outlined are the weaknesses of traditional, norm-referenced tests which fail to help in making instructional decisions. Presented is a step-by-step series of operations for analyzing and categorizing arithmetic errors, for selecting corrective strategies, and for applying peer-referenced standards to judge the performance of special needs…

This article outlines the last step in a five-step process for preparing students to engage in a systematic mathematics problem-solving and decision-making process. The lesson plan teaches students to reread the problem, reexamine the question, check selection of operation, and recheck calculations and compare answers. (JDD)