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Journal ArticleDOI

Identification and Remediation of Systematic Error Patterns in Subtraction

Paul J. Riccomini
- 22 Jun 2005 - 
- Vol. 28, Iss: 3, pp 233-242
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TLDR
The authors investigated 90 elementary teach- ers' ability to identify two systematic error patterns in subtraction and then prescribe an instructional focus and found that more than half of the teachers chose to address basic subtraction facts first during instruction regardless of error type.
Abstract
The present study investigated 90 elementary teach- ers' ability to identify two systematic error patterns in subtraction and then prescribe an instructional focus. Presented with two sets of 20 completed subtraction problems comprised of basic facts, computation, and word problems representative of two students' math performance, participants were asked to examine each incorrect subtraction problem and describe the errors. Participants were subsequently asked which type of error they would address first during math instruction to correct students' misconceptions. An analysis of the data indicated teachers were able to describe specific error patterns. However, they did not base their instruc- tional focus on the error patterns identified, and more than half of the teachers chose to address basic subtraction facts first during instruction regardless of error type. Limitations of the study and implications for practice are discussed.

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미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론

TL;DR: The National Council of Teachers of Mathematics (NCTM) as mentioned in this paper proposed a framework for the evaluation of the performance of teachers of mathematics in South Korea, which is based on the concept of a teacher-student relationship.
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Error Analysis of Mathematical Word Problem Solving Across Students with and without Learning Disabilities

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Learner Errors and Misconceptions in Elementary Analysis: A Case Study of a Grade 12 Class in South Africa.

TL;DR: The analysis of grade 12 learner 1 errors and the misconceptions in calculus at a secondary school in Limpopo Province, South Africa showed that most of the errors and misconceptions were due to knowledge gaps in basic algebra.
Journal ArticleDOI

Longitudinal mathematics development of students with learning disabilities and students without disabilities: A comparison of linear, quadratic, and piecewise linear mixed effects models ☆

TL;DR: There were substantial achievement gaps between students with learning disabilities and students with no disabilities, and their trajectories differed such that students without disabilities progressed at a higher rate than their peers who had learning disabilities.
References
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미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론

TL;DR: The National Council of Teachers of Mathematics (NCTM) as mentioned in this paper proposed a framework for the evaluation of the performance of teachers of mathematics in South Korea, which is based on the concept of a teacher-student relationship.
Book

Educational Psychology: Theory and Practice

TL;DR: This chapter discusses cognitive, language, and Literacy Development, and social, moral, and Emotional development, as well as grouping, Differentiation, and Technology, and how to motivate students to learn.
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Advances in Instructional Psychology

Robert Glaser
TL;DR: In this article, the authors address the importance of reasoning and problem-solving as fundamental to learning and teaching and to modern literacy and argue that thinking is not an outcome of basic learning, but is part of the basic acquisition of knowledge and skill.
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