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Hopkins, Sarah L.; Lawson, Michael J. – International Group for the Psychology of Mathematics Education, 2004
Predictors of retrieval times produced by students having difficulty developing a reliance on retrieval for simple addition were discovered. The findings support the notion that separate limitations operate in working memory when retrieval occurs and call into question the use of the term "retrieval deficit" to explain difficulties…
Descriptors: Memory, Learning Problems, Mathematics Education, Problem Solving
1996
Zoo Zillions contains five activities for grades K-2: Annie's Jungle Trail, 3D Gallery, Number Line Express, Gnu Ewe Boutique, and Fish Stories. These activities enable children to review and practice basic mathematics skills; identify three-dimensional shapes, watch them in motion, and create their own three-dimensional designs; locate numbers…
Descriptors: Arithmetic, Basic Skills, Computer Software, Concept Formation
Torner, Gunter – International Group for the Psychology of Mathematics Education, 2003
To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…
Descriptors: Numbers, Grade 9, Cognitive Processes, Case Studies
Peer reviewed Peer reviewed
Blaha, John – Perceptual and Motor Skills, 1982
The predictive validity of reading attitude, field independence, locus of control, and demographic variables for reading and mathematics achievement was investigated. Expressed Reading Difficulty, field independence, and locus of control all contributed substantially to the regression equation. (Author/CM)
Descriptors: Academic Achievement, Arithmetic, Black Students, Cognitive Style
Bruno, Alicia; Espinel, Maria Candelaria; Martinon, Antonio – Focus on Learning Problems in Mathematics, 1997
Analyzes the solution of additive problems involving negative numbers by prospective primary school teachers using surveys. Concludes that students feel no need to use negative numbers in the solution of additive problems and compares results of this study to another study of same content done on secondary school students. (ASK)
Descriptors: Addition, Arithmetic, Elementary School Teachers, Elementary Secondary Education
Peer reviewed Peer reviewed
Stohl, Hollylynne Drier – ON-Math, 2002
Describes software tools designed to help students investigate relationships among representations of rational numbers that emphasize the part-whole model of a rational number. (KHR)
Descriptors: Arithmetic, Computer Uses in Education, Concept Formation, Educational Environment
Peer reviewed Peer reviewed
Sutton, John T.; Urbatsch, Tonya D. – Arithmetic Teacher, 1991
Presented are suggestions for increasing the efficient use of the transition board while reducing its overall size. Discussed are the construction and preparation of the boards. Teaching addition and subtraction using these materials is described. (CW)
Descriptors: Addition, Arithmetic, Computation, Elementary Education
Peer reviewed Peer reviewed
Davis, Robert B. – Arithmetic Teacher, 1991
Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Computation
Peer reviewed Peer reviewed
Schielack, Jane F. – Arithmetic Teacher, 1991
Discussed is the importance of incorporating calculators and computers into the primary grades. Number concepts, counting skills, place-value, basic operations, problem-solving, and higher order thinking skills can be reinforced by using calculators and computers along with manipulatives. (KR)
Descriptors: Arithmetic, Calculators, Computer Assisted Instruction, Elementary School Mathematics
Peer reviewed Peer reviewed
Wiebe, James H. – Arithmetic Teacher, 1989
Discusses the use of calculators to calculate multiple operations. Describes calculating procedures and provides four different types of examples. (YP)
Descriptors: Arithmetic, Calculators, Computation, Computer Uses in Education
Peer reviewed Peer reviewed
Hativa, Nira – Mathematics Education Research Journal, 1993
Describes the process through which four high-achieving second graders constructed their knowledge and misconceptions of rounding concepts gained from using computer-based practice sessions which provided full solutions to examples but without verbal explanations. (31 references) (MKR)
Descriptors: Arithmetic, Computer Assisted Instruction, Constructivism (Learning), Courseware
Peer reviewed Peer reviewed
Barford, Judy – Teaching Children Mathematics, 1994
Describes a wide range of activities based on a grade-number theme of "two" in second grade, "three" in third grade, and "four" in fourth grade. (MKR/SW)
Descriptors: Arithmetic, Elementary School Mathematics, Grade 2, Grade 3
Peer reviewed Peer reviewed
Wentworth, Nancy M.; Monroe, Eula Ewing – Mathematics Teaching in the Middle School, 1995
Discusses ways teachers can encourage students to construct useful meanings for the fractional unit. Provides three examples of representations of common fractions and illustrates misconceptions in fraction problems. Includes a brief summary of constructivist mathematics education and an example in which a teacher misunderstands a fractional unit.…
Descriptors: Arithmetic, Concept Formation, Constructivism (Learning), Fractions
Peer reviewed Peer reviewed
Stefanich, Greg P.; Rokusek, Teri – School Science and Mathematics, 1992
Presents a study that analyzed errors made by randomly chosen fourth grade students (25 of 57) while using the division algorithm and investigated the effect of remediation on identified systematic errors. Results affirm that error pattern diagnosis and directed remediation lead to new learning and long-term retention. (MDH)
Descriptors: Algorithms, Arithmetic, Cognitive Development, Computation
Peer reviewed Peer reviewed
Carey, Deborah A. – Journal for Research in Mathematics Education, 1991
A study asked 24 first grade children from 3 different classes to write number sentences and select appropriate alternative number sentences for addition and subtraction word problems. Results indicated that children could be characterized into five clusters according to their flexibility in accepting alternative number sentences and that…
Descriptors: Addition, Arithmetic, Cognitive Development, Cognitive Processes
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