Get a deeper understanding of teaching functions, 9-12 with our concise and comprehensive Go-To Guide. Based on "Developing Essential Understanding of Functions 9-12" and "Putting Essential Understanding of Functions into Practice 9-12," this summary distills the key concepts and ideas into a quick-reference guide that's…

The purpose of this resource is to help math teachers unpack, understand, and implement the current math content and practice standards. This resource describes the progressions of learning within each course and provides content support, which includes broad ideas about effective instruction as well as practical instructional strategies. Math…

The article presents techniques for error analysis and correction for use with handicapped children. Considered are error and trend analysis, corrective feedback, graduated guidance hierarchy, errors as part of the learning process, the teacher's verbal correction, and oral reading correction procedurs. (DB)

The author analyzes the problem-solving nature of spelling, notes its cognitive components, and reviews research findings relevant to learning disabled students. He emphasizes the need to understand spelling developmentally and chart-succeeding stages. (CL)

A distinction is made between estimation and checking, and an analysis of standard errors made on calculators when pupils are checking answers is given. (MP)

A set of brief reflections about different aspects of mathematical errors and their roles in education is given. The nature and variety of errors and their positive use in learning mathematics are highlighted. (MNS)

The article reviews the development of mathematics error analysis as a means of diagnosing students' cognitive reasoning. Errors specific to addition, subtraction, multiplication, and division are described, and suggestions for remediation are provided. (CL)

The article presents a six-step procedure for analyzing spelling errors, selecting instructional tactics, and setting performance standards for correcting persistent spelling errors. (DB)

Ten examples of when the sequences of key presses given in calculator instruction booklets are either inefficient or lead to an incorrect answer are given. (MNS)

Guidelines for effective ecological assessment are put forth in the form of a list of diagnostic questions and a checklist of variables in the child's environment that may be contributing to behavior problems. Physical, psychosocial, and physiological factors are listed for consideration in analyzing the totality of influences on the child. (PB)

Some possible reasons why remediation is needed in mathematics instruction are presented. The need to diagnose the problem and then provide appropriate, effective remediation is discussed. Four guiding principles for diagnosis are presented, followed by six questions covering hypotheses about the source of the difficulty. Suggestions are then…

Four informal assessment techniques to detect student mistakes in math, increase motivation, and improve achievement include the following: building models and generating word problems, thinking aloud, building mathematical sentences, and making mathematical sentences to answer questions in word problems. (DB)

Four different conceptions of error-making from a pedagogical perspective are developed. Using errors as springboards for learning is advocated, so that better understanding of content and of the nature of mathematics results. (MNS)

A checklist is presented to identify common problems students exhibit in arithmetic. Alongside general areas of need, common mistakes are listed to help diagnose error patterns for targeting specific skills and designing effective intervention. General areas include readiness, problem solving, whole-number computations, fraction computations, and…

Discusses how student errors can be utilized to understand the nature of the conceptions that underlie students' mathematical activity. Looks at why errors are made in mathematics, how teachers and students perceive errors, and how to use errors in the classroom. (MDH)