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Pub Date: |
2012-05-00 |
Pub Type(s): |
Guides - Classroom - Teacher |
Peer Reviewed: |
Yes |
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Descriptors:
Mathematics Instruction; Problem Solving; Educational Research; Evidence; Teaching Methods; Mathematical Applications; Group Instruction; Self Management; Reflection; Visual Aids; Protocol Analysis; Discussion (Teaching Technique); Mathematical Concepts; Algebra; Grade 4; Grade 5; Grade 6; Grade 7; Grade 8
Abstract:
The Institute of Education Sciences (IES) publishes practice guides in education to bring the best available evidence and expertise to bear on current challenges in education. Authors of practice guides combine their expertise with the findings of rigorous research, when available, to develop specific recommendations for addressing these challenges. The authors rate the strength of the research evidence supporting each of their recommendations. The goal of this practice guide is to offer educators specific, evidence-based recommendations that address the challenge of improving mathematical problem solving in grades 4 through 8. The guide provides practical, clear information on critical topics related to improving mathematical problem solving and is based on the best available evidence as judged by the authors. Appended are: (1) Postscript from the Institute of Education Sciences; (2) About the Authors; (3) Disclosure of Potential Conflicts of Interest; and (4) Rationale for Evidence Ratings. (Contains 9 tables, 21 examples and 303 endnotes.)
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Author(s): |
Woodward, John |
Source: |
Learning Disability Quarterly, v29 n4 p269-289 Fall 2006 |
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Pub Date: |
2006-00-00 |
Pub Type(s): |
Journal Articles; Reports - Research |
Peer Reviewed: |
Yes |
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Descriptors:
Special Education; Multiplication; Drills (Practice); Mathematical Concepts; Mathematics Instruction; Learning Strategies; Teaching Methods; Grade 4; Mathematics Tests; Instructional Effectiveness
Abstract:
Automaticity in math facts has been of considerable interest to special educators for decades. A review of the intervention literature suggests at least two common approaches to developing automaticity in facts. One is grounded in the use of strategies for teaching facts, the other emphasizes the use of timed practice drills. Recent research indicates that students might benefit from an integration of these two approaches. This experimental study contrasted an integrated approach (i.e., strategies and timed practice drills) with timed practice drills only for teaching multiplication facts. Participants were 58 fourth-grade students with a range of academic abilities. Fifteen of the students in the study had IEPs in math. Results indicated that both approaches were effective in helping students achieve automaticity in multiplication facts. However, students in the integrated approach generally performed better on posttest and maintenance test measures that assessed the application of facts to extended facts and approximation tasks. These results have implications for teaching a range of skills and concepts that are considered important to overall mathematical competence in the elementary grades. (Contains 7 tables and 7 figures.)
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Pub Date: |
2006-00-00 |
Pub Type(s): |
Journal Articles; Reports - Evaluative |
Peer Reviewed: |
Yes |
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Descriptors:
High Risk Students; Mathematics Teachers; Special Education; Mathematics Curriculum; Academic Achievement; Student Attitudes; Low Achievement; Mathematics Achievement; Secondary School Mathematics; Middle School Students; Intervention; Program Effectiveness
Abstract:
An important component of the National Council of Teachers of Mathematics Standards is the equity principle: All students should have access to a coherent, challenging mathematics curriculum. Many in the mathematics reform community have maintained that this principle can be achieved through one well-designed curriculum. However, the extant research on equity--which focuses on either ethnic diversity or academic achievement--suggests that this principle is illusive. The current study compares the effectiveness of two curricula in teaching a range of math concepts to 53 (28 male; 25 female) middle school students at risk for special education services in math. The yearlong, quasi-experimental study involved achievement and attitudinal measures. Results indicated that students in the intervention group who used materials designed according to instructional principles described in the special education literature achieved higher academic outcomes (p less than 0.05, p less than 0.001) and had more positive attitudes toward math (p less than 0.001) than did students in the comparison group.
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Pub Date: |
2005-05-00 |
Pub Type(s): |
Journal Articles; Reports - Evaluative |
Peer Reviewed: |
Yes |
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Descriptors:
Profiles; Classroom Communication; Mathematics Instruction; Teaching Methods; Grade 7; Interviews; Journal Writing; Low Achievement; Student Participation; Thinking Skills; Classroom Observation Techniques
Abstract:
Classroom communication figures prominently in current math reform efforts. In this study, we analyze how one teacher used writing to support communication in a seventh-grade, low-track mathematics class. For one school year, we studied four low-achieving students in the class. Students wrote in journals on a weekly basis. Using classroom observations and interviews with the teacher, we developed profiles of the four students, capturing their participation in class discussions. The profiles highlighted an important similarity among the four students: marginal participation in both small-group and whole-class discussions. However, our analysis of the students' journals identified multiple instances where the students were able to explain their mathematical reasoning, revealing their conceptual understanding, ability to explain, and skill at representing a problem. In this respect, journals potentially facilitate another important form of classroom communication. The promise of writing is that it offers an alternative to the visions of classroom communication that are strictly oral in nature.
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