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Direct linkFlores, Alfinio; Turner, Erin E.; Bachman, Renee C. – Teaching Children Mathematics, 2005
The way in which two teachers, Elizabeth and Carolyn, posed problems to develop their own conceptual understanding of division of fractions in terms that would also be meaningful for their students is described. Carolyn and Elizabeth's approach is to pose several problems of various degrees of difficulty and complexity for each aspect of the…
Descriptors: Arithmetic, Problem Solving, Sequential Learning, Word Problems (Mathematics)
Download full textKlauer, 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
Peer reviewedWilson, Margaret A.; Robinson, Gregory L. – Mathematics Education Research Journal, 1997
Presents a study exploring the effectiveness and efficiency of constant Time Delay and Sequenced Count-By procedures in the teaching of multiplication facts using children (N=43) from grades 3-6 having parents as tutors. Concludes that both procedures were effective. Appendix includes the questionnaire administered to parents and students.…
Descriptors: Elementary Secondary Education, Mathematics Instruction, Multiplication, Parent Teacher Cooperation
GARBER, CLAIRE N. – 1963
A GROUP OF REPRESENTATIVES FROM FIVE SCHOOLS MET FOR TWO WEEKS TO DISCUSS MEANS OF IMPROVING ARITHMETIC TEACHING. THE CONTENT OF EACH GRADE WAS EXAMINED. THE PURPOSE WAS TO DETERMINE VARIOUS APPROACHES TO MOTIVATE BETTER LEARNING. NOTES OF THESE MEETINGS HAVE BEEN REPRODUCED AND SUGGESTIONS FOR TEACHERS OFFERED. TEACHERS SHOULD PROVIDE MANY…
Descriptors: Grade 1, Instructional Improvement, Instructional Materials, Mathematics Curriculum
Peer reviewedHashway, Robert M. – Illinois School Research and Development, 1982
Describes the application of basic factor analytical and classical scaling techniques to mathematics placement test data that indicates that the sequence of mathematical skill areas traditionally taught in schools should be somewhat altered in order for students to reach optimal achievement levels. (FL)
Descriptors: Factor Analysis, Higher Education, Individualized Instruction, Mastery Learning
Peer reviewedMiller, 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
Peer reviewedCynthia 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
Peer reviewedMiller, 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
Ashlock, Robert B. – Research Journal (University of Maryland), 1970
Descriptors: Addition, Behavioral Objectives, Educational Media, Elementary School Students
Reichert, Conrad A. – 1971
A study was made of the effect of various learner and task characteristics on learning from scrambled frames in an instructional program. The independent variables were: sequence (scrambled vs. logical), grade, sequence length, criterion test complexity, sex, IQ, mathematics achievement, and reading comprehension. The dependent variables were:…
Descriptors: Analysis of Variance, Fixed Sequence, Intelligence Differences, Learning
Peer reviewedLarcombe, 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
Kane, Robert B.; And Others – 1971
The purpose of this study was to develop and evaluate procedures for validating a learning hierarchy from test data. An initial hierarchy for the computational skills of adding rational numbers with like denominators was constructed using Gagne's task analysis. A test designed to assess mastery at each of the 11 levels in this hierarchy was…
Descriptors: Achievement, Addition, Elementary School Students, Learning Theories
Peer reviewedButler, Frances M.; Miller, Susan P.; Crehan, Kevin; Babbitt, Beatrice; Pierce, Thomas – Learning Disabilities: Research & Practice, 2003
This study compared effectiveness of either a concrete-representational-abstract (CRA) or a representational-abstract (RA) instructional sequence in teaching fraction concepts to 50 middle school students with mathematics disabilities. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA…
Descriptors: Fractions, Instructional Effectiveness, Learning Disabilities, Manipulative Materials
Rosenthal, Daniel J. A.; Resnick, Lauren B. – 1971
The effects of three variables on the difficulty of verbal arithmetic problems were examined. Variables included problem form, sequence of information, and problem verb. A total of 32 problems was generated, four in each of four problem forms and two sequences of information. Vocabulary words were not above second-grade level, and numbers used…
Descriptors: Arithmetic, Content Area Reading, Elementary School Mathematics, Elementary School Students
Walker, Nancy – Reading Newsreport, 1971
Descriptors: Basic Skills, Bilingual Students, Computer Assisted Instruction, Experimental Programs
