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Tracy, Dyanne M.; Gibbons, Mary K. – 1999
This article describes constructivist techniques for teaching concepts of decimals and metrics through the combination of innovative measuring tools, activities and videos in classrooms. Even though the chronological age of the students involved differed--fifth and sixth graders or pre-service teachers--it was discovered that similar activities…
Descriptors: Constructivism (Learning), Decimal Fractions, Elementary School Mathematics, Higher Education
Stiff, Lee V., Ed.; Curcio, Frances R., Ed. – 1999
This yearbook sharpens the views of mathematical reasoning and its development at all grade levels. Various perspectives about the nature of reasoning and addresses the many issues and concerns involving mathematical reasoning such as how learners reason in mathematics, how communication promotes reasoning, how teachers gather evidence of student…
Descriptors: Algebra, Cognitive Processes, Creative Thinking, Elementary Secondary Education

Hart, K. – Mathematics in School, 1983
Findings on ratio and on fractions from a research project on strategies and errors in secondary mathematics are discussed, with typical errors described. Pupils seemed to learn rules without understanding. (MNS)
Descriptors: Educational Research, Error Patterns, Fractions, Mathematics Curriculum

Stones, Ivan D. – Mathematics Teacher, 1983
Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)
Descriptors: Fractions, History, Learning Activities, Mathematical Enrichment

Jensen, Rosalie; O'Neil, David R. – Arithmetic Teacher, 1982
Ways to use styrofoam egg cartons and plastic eggs to enhance mathematics instruction are detailed. These materials are viewed as inexpensive, colorful, and easy to obtain. Suggestions for using them to teach concepts related to whole numbers and fractions are provided. (MP)
Descriptors: Elementary Education, Elementary School Mathematics, Fractions, Instructional Materials

Snover, Stephen L. – Arithmetic Teacher, 1982
Activities designed for use with middle-school students to help them discover intriguing number patterns and practice their arithmetic skills with fractions are presented. It is felt that work with repeating number patterns should be both fun and instructive for middle-school and prealgebra students at all development levels. (MP)
Descriptors: Elementary Secondary Education, Fractions, Instructional Materials, Mathematical Concepts

Vincent, Peter – Mathematics in School, 1981
Student exploration at a secondary school level of fraction relationships using special graphs is described. (MP)
Descriptors: Discovery Learning, Elementary Secondary Education, Fractions, Geometric Concepts

Janicki, Terence C.; Peterson, Penelope L. – American Educational Research Journal, 1981
Two teachers each taught a 2-week fractions unit to two classes of grades 4-5 students. Each teacher taught one class using direct instruction and the other using a small-group variation of direct instruction. Regression analysis on achievement showed significant aptitude-treatment interaction (ATI) and significant teacher effects. (Author/RL)
Descriptors: Aptitude Treatment Interaction, Elementary School Mathematics, Fractions, Grade 4

Kidder, F. Richard – Arithmetic Teacher, 1980
The author promotes an earlier introduction of decimals than is currently standard practice in most elementary mathematics programs. Suggested activities and related skills are reviewed. (MP)
Descriptors: Algorithms, Decimal Fractions, Elementary Education, Elementary School Mathematics

Niemi, David – Gifted Child Quarterly, 1996
Data were collected from 540 fifth-grade students on problem solving, justification, and explanation of fractions. Fewer than 10% performed adequately on the explanation task. Students who received a seven-day instructional program on fractions in measurement contexts performed better than students receiving traditional part-whole instruction.…
Descriptors: Alternative Assessment, Cognitive Ability, Comprehension, Evaluation Criteria

Cramer, Kathleen A.; Post, Thomas R.; delMas, Robert C. – Journal for Research in Mathematics Education, 2002
Contrasts student achievement using commercial curricula (CC) for initial fraction learning with that of using the Rational Number Project (RNP) fraction curriculum. Indicates that students using RNP materials had statistically higher mean scores on concepts, order, transfer, and estimation. Interview data showed differences in the quality of…
Descriptors: Academic Achievement, Concept Formation, Curriculum Development, Elementary Education

Butler, 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

Mick, Harold W.; Sinicrope, Rose – School Science and Mathematics, 1989
Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)
Descriptors: Arithmetic, Elementary School Mathematics, Elementary Secondary Education, Fractions

Tatsuoka, Kikumi K.; And Others – Journal of Educational Measurement, 1988
The degree to which test item bias techniques can lead to interpretable results when groups are defined in terms of specified differences in the cognitive processes involved in problem-solving strategies was studied. Data from two groups of junior high school students (N=545) were used. (TJH)
Descriptors: Cognitive Processes, Fractions, Junior High School Students, Mathematics Tests

Kemp, Champee C. – Teaching Children Mathematics, 1995
Proposes using cookies (recipe included) and pizza to help Chapter I students, grades two through five, understand basic fraction concepts. (MKR)
Descriptors: Computer Uses in Education, Courseware, Elementary Education, Food