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Dana, Marcia E.; Lindquist, Mary Montgomery – Arithmetic Teacher, 1978
Suggestions are given for activities to use to introduce common and decimal fractions. Models are used initially and symbols are introduced slowly. Decimals are related to common fractions. (MP)
Descriptors: Concept Formation, Decimal Fractions, Elementary Education, Elementary School Mathematics
Cawley, John F.; And Others – 1987
This manual contains individual learning activity sheets on "Prenumbers", "Whole Numbers", and "Fractions." Each activity sheet and its accompanying instructional recommendations focus on a single concept or skill. The program presented is not intended to comprise a complete mathematics program for children who have difficulty in mathematics and…
Descriptors: Basic Skills, Computation, Concept Formation, Decimal Fractions

Schultz, James E. – Arithmetic Teacher, 1991
Discusses area models that can be used in grades three through nine, showing how the model generalizes from discrete situations involving the arithmetic of whole numbers to continuous situations involving decimals, fractions, percents, probability, algebra, and more advanced mathematics. (14 references) (MDH)
Descriptors: Algebra, Area, Cognitive Development, Cognitive Processes

Vance, James H. – School Science and Mathematics, 1992
A study interviewed 6 grade-6 students after participation in 21 lessons on basic concepts of fractions and decimals to determine how different children construct rational number concepts. Discussed the formation of the key concept of equivalent fractions based on student responses to interview questions. (MDH)
Descriptors: Cognitive Development, Cognitive Measurement, Concept Formation, Decimal Fractions

Graeber, Anna O. – Arithmetic Teacher, 1993
Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)
Descriptors: Cognitive Development, Concept Formation, Decimal Fractions, Division
Meagher, Michael – 2002
This ERIC Digest overviews recent research on teaching and learning fractions and provides suggestions for practice, help in locating resources having direct application in the classroom, and sources for further reading in the literature. Students' conceptions of fractions or rational numbers, common mistakes teachers make, and new teaching…
Descriptors: Arithmetic, Concept Formation, Elementary Secondary Education, Fractions
Smith, John P., III – 2002
This paper provides some guidance as to what to listen for to help students make sense of expressions in ways that connect to their ideas and honestly address the mathematics of rational numbers. It offers a reasonable initial answer to the question, "Where do students' ideas about fractions and ratios come from, and how can we work productively…
Descriptors: Arithmetic, Concept Formation, Elementary Education, Fractions
Hope, Jack A.; Owens, Douglas T. – Focus on Learning Problems in Mathematics, 1987
Reviewed is research indicating problems in teaching and learning fractions and possible ways to improve instruction and learning. (RH)
Descriptors: Academic Achievement, Concept Formation, Elementary Education, Elementary School Mathematics

Brown, Christopher N. – Arithmetic Teacher, 1979
Grid paper activities are discussed as a way to help students conceptualize fractions. (MP)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions

Thompson, Charles S.; Walker, Vicki – Teaching Children Mathematics, 1996
Describes common misconceptions with decimals and suggests activities that can strengthen connections between decimal concepts and fractions, place value, and physical models, such as the number line. Encourages reasoning, communicating, and problem solving. (TO)
Descriptors: Concept Formation, Decimal Fractions, Elementary Education, Learning Activities

Thompson, Charles – Arithmetic Teacher, 1979
This method of teaching the division of fractions emphasizes the use of concrete materials and helps students understand what division of fractions means. (MP)
Descriptors: Computation, Concept Formation, Division, Elementary Education

Tucker, Karen L. – Arithmetic Teacher, 1978
This discussion of the mathematical potential of classroom events gives many examples of incidents that can be used for learning about topics such as one-to-one correspondence, counting, sets, ordering, time, fractions, money, shape, estimation, measuring, volume, area, number operations, and graphs. (MP)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions

Dorgan, Karen – Teaching Children Mathematics, 1994
Analyzes three textbook series to find what meaningful learning experiences with fractions the books offer relative to modes of representation, pictorial models, qualitative reasoning, and students' informal knowledge of partitioning. Discusses implications for teacher use, including supplementation, teacher-support materials, alternative…
Descriptors: Concept Formation, Content Analysis, Elementary Education, Elementary School Mathematics

Hiebert, James – Arithmetic Teacher, 1987
What research says about the learning and teaching of decimal fractions is summarized, with some instructional strategies and activities to improve learning suggested. (MNS)
Descriptors: Concept Formation, Decimal Fractions, Educational Research, Elementary School Mathematics

Steiner, Evelyn E. – Arithmetic Teacher, 1987
A model for division of fractions using money as manipulative material is presented. Eight levels are described, ranging from the development of language and concept introduction through types of problems to rule discovery and application. (MNS)
Descriptors: Concept Formation, Elementary Education, Elementary School Mathematics, Fractions