NotesFAQContact Us
Collection
Advanced
Search Tips
Showing all 9 results Save | Export
Peer reviewed Peer reviewed
Howell, Susan C.; Barnhart, Ruth S. – Teaching Exceptional Children, 1992
This article describes a problem-solving strategy unit to be used as a supplement to the regular mathematics curriculum at the primary level. Specific teaching steps and examples are given for three developmental stages of thinking: (1) concrete, (2) representational, and (3) abstract. (DB)
Descriptors: Abstract Reasoning, Classroom Techniques, Cognitive Development, Developmental Stages
Peer reviewed Peer reviewed
Watson, Jane; Mulligan, Joanne – Mathematics Education Research Journal, 1990
A mapping procedure based on the SOLO Taxonomy developmental model was used to classify the problem-solving strategies of students (n=34) in grades K-2. Only one multiplication problem was used to isolate three components of the problem-solving procedure. (MDH)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Structures, Cognitive Style
Peer reviewed Peer reviewed
Heller, Patricia M.; And Others – Journal for Research in Mathematics Education, 1990
Examined is the relationship between junior high school students' directional reasoning about rates and numerical reasoning on proportion-related word problems. The relationship between the ability to solve context-free fraction exercises and the ability to solve mathematically similar word problems is discussed. (KR)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Processes, Junior High Schools
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
Tasmanian Education Dept., Hobart (Australia). – 1987
Learning activities and questioning skills that teachers in Tasmania can use to determine a child's mathematics understanding are presented. Covered topics include division, multiplication, subtraction, addition, sorting and classification, one-to-one correspondence, patterns, ordering, and counting. Included for each topic are the aim, needed…
Descriptors: Arithmetic, Classification, Cognitive Development, Concept Formation
Peer reviewed Peer reviewed
Ford, Margaret I. – Arithmetic Teacher, 1990
Described is a strategy where students write stories to help in the process of solving problems. The strategy is a five-step process which includes prewriting, writing, conference, revising and editing, and publication. (KR)
Descriptors: Cognitive Development, Elementary Education, Elementary School Mathematics, Learning Strategies
Peer reviewed Peer reviewed
Mulligan, Joanne – Mathematics Education Research Journal, 1992
Children's (n=70) solution strategies to a variety of multiplication and division word problems were analyzed to determine performance levels and strategies used. Solution strategies were classified at three levels: direct modeling with counting; no direct modeling with counting, additive, or subtractive strategies; and use of known derived facts.…
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Style, Constructivism (Learning)
English, Lyn D. – 1993
The focus of this report is children's construction and analogical transfer of mathematical knowledge during novel problem solving, as reflected in their strategies for dealing with isomorphic combinatorial problems presented in "hands-on" and written form. Case studies of 9-year-olds, one low and one high achieving in school…
Descriptors: Academic Achievement, Analogy, Case Studies, Cognitive Development
Hawver, Deborah A. – 1990
This practicum addresses the need to organize a structured problem solving program for fifth and seventh grade students. The improvement of the students' problem solving skills and the enhancement of students' attitudes toward problem solving in mathematics were the main goals. The program implemented consisted of a structured problem solving…
Descriptors: Calculators, Cognitive Development, Cooperative Learning, Elementary School Mathematics