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Empson, Susan B. – Teaching Children Mathematics, 1995
Describes a case study of a first-grade class in fractions, presents preliminary findings suggesting that students in others grades can learn fractions in similar ways, and offers ideas for action research. (MKR)
Descriptors: Action Research, Case Studies, Elementary School Mathematics, Elementary School Students

Steffe, Leslie P.; Olive, John – Arithmetic Teacher, 1991
Discusses research findings that relate to teaching fractions for conceptual understanding. Gives teacher/student dialogues that illustrate the thought processes of students as they form part-whole and improper fraction concepts. (MDH)
Descriptors: Classroom Environment, Cognitive Processes, Concept Formation, Elementary Education

Steffe, Leslie P. – Journal of Research in Childhood Education, 1994
Introduces the idea of using computer microworlds--interactive software for exploration of specific concepts--for mathematics education, the theme of this issue's articles. Discusses their development and the advantages of their use. Suggests that they can be successfully used for interactive teaching or for interpreting mathematics textbooks,…
Descriptors: Computer Assisted Instruction, Constructivism (Learning), Elementary Education, Elementary School Mathematics
Piel, John A.; Green, Michael – Focus on Learning Problems in Mathematics, 1994
Argues that intuitive and computational knowledge can be combined by focusing more explicitly on referential and quantitative meanings in division of fractions problems. Recommends teaching mathematics as problem solving, communication, reasoning, and connections to help students overcome misunderstandings and connect their intuitive knowledge…
Descriptors: Computation, Division, Education Majors, Fractions

Tzur, Ron – Journal for Research in Mathematics Education, 1999
Studies the co-emergence of teaching and children's construction of specific conceptions that support the generation of improper fractions in a constructivist teaching experiment with two fourth-grade students posing and solving tasks in a computer microworld. Reports that examination of the teacher's adaptation of learning situations (tasks) and…
Descriptors: Cognitive Development, Computer Uses in Education, Concept Formation, Constructivism (Learning)

Lubinski, Cheryl A.; Fox, Thomas; Thomason, Rebecca – School Science and Mathematics, 1998
Current reform documents in mathematics education recommend that teachers help students develop both conceptual and procedural understandings; however, teachers often do not possess the in-depth mathematical reasoning abilities necessary to accomplish this goal. Describes one way in which preservice teachers can come to better understand the…
Descriptors: Division, Elementary Education, Fractions, Higher Education

Warrington, Mary Ann; Kamii, Constance – Mathematics Teaching in the Middle School, 1998
Presents a teacher's experiences with teaching fractions by employing the constructivist approach. Concludes that children will go much further with depth, pleasure, and confidence if they are allowed to construct their own mathematics to make sense to them every step of the way. (ASK)
Descriptors: Constructivism (Learning), Elementary Education, Elementary School Mathematics, Fractions
Where Do Fractions Encounter Their Equivalents?: Can This Encounter Take Place in Elementary-School?

Arnon, Ilana; Nesher, Pearla; Nirenburg, Renata – International Journal of Computers for Mathematical Learning, 2001
Describes computer software called Shemesh designed for learning equivalence-classes of fractions. Describes interviews with fifth-grade students who used the software in their learning activities. Evidence indicates initial actual development of desired mathematical concepts. (Author/MM)
Descriptors: Computer Software, Computer Uses in Education, Concept Formation, Educational Technology
Baig, Shahida; Halai, Anjum – EURASIA Journal of Mathematics, Science & Technology Education, 2006
This research focused on students' learning of mathematical rules with reasoning. A small group of students (age 11-12 yrs) was observed closely by the first author as she taught them fraction rules. The area of focus was fractions and activities were designed pertaining to the four rules of fractions: addition, subtraction, multiplication, and…
Descriptors: Foreign Countries, Standards, Mathematical Logic, Preadolescents
Hynes, Michael C., Ed. – 1996
This document is a collection of activity-based mathematics lessons for grades 5-8 from the "Ideas" department in "Arithmetic Teacher: Mathematics Education through the Middle Grades." Each lesson includes background information, objectives, directions, extensions, and student worksheets. A matrix is included which correlates…
Descriptors: Computation, Fractions, Graphs, Intermediate Grades
Zeman, Anne; Kelly, Kate – 1994
This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…
Descriptors: Arithmetic, Calculators, Computers, Fractions
Ruetz, Nancy – 1996
This companion document to the instructor's guide for a course designed to prepare employees for statistical process control (SPC) training given at their workplace by refreshing math skills and building the concepts and vocabulary necessary to understand SPC in manufacturing environments. SPC-Prep 1 addresses the math skills necessary to perform…
Descriptors: Adult Basic Education, Arithmetic, Basic Skills, Decimal Fractions
Flewelling, Gary – 1993
This book is one in a series of teacher resource books developed to: (1) rescue students from the clutches of computers that drill and control; and (2) supply teachers with computer activities compatible with a mathematics program that emphasizes investigation, problem solving, creativity, and hypothesis making and testing. This is not a book…
Descriptors: Addition, Arithmetic, Computer Assisted Instruction, Diagrams
Cohn, Doris; Eulert, Von E. – National Braille Association Bulletin, 1983
Three short articles about mathematics and science braille are provided for braille transcribers and teachers of the visually handicapped. The first article discusses the differences between the rules for English textbook format and the Nemeth Braille Code (for mathematics, science, and notation) format in transcribing the mathematical section of…
Descriptors: Braille, Elementary Secondary Education, Fractions, Guidelines
Schielack, Janie – 1983
This publication presents teaching strategies to develop understanding of fractions as sensible numbers. Written for the mathematics teacher in grades K-5, it gives suggestions for teacher-led discussions and structured exploratory activities. The activities are conducted with manipulative materials that emphasize the important characteristics and…
Descriptors: Elementary Education, Elementary School Mathematics, Fractions, Geometric Concepts