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Stein, Marci – Teaching Exceptional Children, 1987
Teachers can help students with learning problems in solving arithmetic word problems by following the principles commonly used in the design of Direct Instruction curricula: teach rules and strategies rather than rote memorization; sequence examples and skills carefully; and introduce and review skills cumulatively. (CB)
Descriptors: Arithmetic, Mathematics Instruction, Mathematics Skills, Mild Disabilities
Klauer, Elizabeth; Rule, Ann – 1985
Structuring the algebra course to provide a link between a student's existing knowledge and the new topic being presented is discussed. Developing relationships among topics is suggested through examples describing a mathematical problem and effective teaching approaches. Stress is placed on teachers reflecting on mistakes pupils are likely to…
Descriptors: Algebra, Error Patterns, Mathematical Concepts, Mathematics Instruction

Miller, Susan Peterson; Mercer, Cecil D. – Learning Disabilities Research and Practice, 1993
This article presents a graduated word problem sequence in mathematics, beginning with simple words; progressing to phrases, sentences, and paragraphs; advancing to paragraph word problems with extraneous information; and finally having students create their own word problems. Results from 67 elementary students with learning disabilities support…
Descriptors: Elementary Education, Instructional Effectiveness, Learning Disabilities, Mathematics Instruction

Cynthia L. Wilson; Paul T. Sindelar – Exceptional Children, 1991
This study compared the effectiveness of 3 procedures for teaching 62 elementary students with learning disabilities to identify the correct algorithm in solving addition and subtraction word problems. The group receiving strategy teaching and sequencing practice problems and the group receiving strategy teaching only scored higher than…
Descriptors: Instructional Effectiveness, Learning Disabilities, Learning Strategies, Mathematics Instruction

Miller, Susan Peterson; Mercer, Cecil D. – Learning Disabilities Research and Practice, 1993
Nine students (ages 7 to 11) with math disabilities were effectively taught using an instructional sequence that moved from the concrete to the semiconcrete to the abstract. Subjects needed between three and seven lessons using manipulative devices and pictures before being able to do abstract-level problems. (Author/DB)
Descriptors: Abstract Reasoning, Concept Formation, Elementary Education, Instructional Effectiveness

Larcombe, Tony – British Journal of Special Education, 1988
Discussed is a report of a British government advisory group concerning programs of study in mathematics education, as related to students with special education needs. Described are the progression of levels, the spread of levels normal for particular age groups, and the notion of age determining the work of students. (JDD)
Descriptors: Advisory Committees, Age Differences, Developmental Tasks, Difficulty Level

Nichols, Beverly W. – Mathematics Teacher, 1988
Argues that reasons for teaching geometry before second-year algebra include higher student achievement and attitude and better abstract thinking. (PK)
Descriptors: Algebra, Curriculum Design, Fixed Sequence, Geometry

Miller, Susan Peterson; And Others – Intervention in School and Clinic, 1992
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…
Descriptors: Abstract Reasoning, Classroom Techniques, Concept Formation, Elementary School Mathematics
Philadelphia School District, PA. Office of Curriculum and Instruction. – 1982
This teacher's guide is the ninth in a set of 20 activity booklets for teaching mathematics to children in grades 1-8. The 20-level curriculum embodies carefully delineated areas of learning arranged in progressive stages, eliminating grade restrictions and permitting continuous growth according to the individual's ability and rate of learning.…
Descriptors: Arithmetic, Continuous Progress Plan, Elementary Education, Elementary School Mathematics

Hasselbring, Ted S.; And Others – Focus on Exceptional Children, 1988
Computer-based drill and practice can develop math automaticity in learning handicapped children, but only when prior training for developing a declarative knowledge network is implemented. An experimental math program called "Fast Facts" successfully developed the recall of basic math facts in 160 mildly handicapped and nonhandicapped…
Descriptors: Computer Assisted Instruction, Drills (Practice), Elementary Education, Junior High Schools

Ruthven, Kenneth – Educational Studies in Mathematics, 1987
Proposes that ability is a concept central to the current practices of mathematics teaching. Argues that the widespread view that mathematics learning is an ordered progression through a hierarchy of knowledge and skills subjects students to "ability stereotyping" and serves as a gross global model. (TW)
Descriptors: Ability, Ability Identification, Academic Achievement, Attitudes