Descriptor
Cognitive Structures | 9 |
Concept Formation | 9 |
Mathematics Curriculum | 9 |
Cognitive Development | 8 |
Abstract Reasoning | 7 |
Mathematics Education | 7 |
Cognitive Dissonance | 6 |
Educational Strategies | 6 |
Misconceptions | 6 |
Thinking Skills | 6 |
Elementary School Mathematics | 5 |
More ▼ |
Author
Agor, Barbara | 1 |
Behr, Merlyn | 1 |
Blais, Donald M. | 1 |
Borasi, Raffaella | 1 |
Harel, Guershon | 1 |
Resnick, Lauren B. | 1 |
Steffe, Leslie P. | 1 |
Tall, David | 1 |
Tirosh, Dina | 1 |
Vinner, Shlomo | 1 |
Wilson, Patricia S. | 1 |
More ▼ |
Publication Type
Journal Articles | 9 |
Opinion Papers | 7 |
Reports - Research | 3 |
Education Level
Audience
Researchers | 8 |
Location
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating

Blais, Donald M. – Mathematics Teacher, 1988
The author defines and discusses the cognitive theory of constructivism as it relates to teaching mathematics. It is suggested that the philosophical and theoretical view of knowledge and learning embodied in constructivism offers hope that educational processes will be discovered enabling students to acquire deep understanding rather than…
Descriptors: Algebra, Cognitive Development, Cognitive Processes, Cognitive Structures

Resnick, Lauren B.; And Others – Journal for Research in Mathematics Education, 1989
Documented are major categories of errors that appear as children learn decimal fractions. Then the conceptual sources of these errors are established. Different curriculum sequences influence the probability that these classes of errors will appear. They can be used as diagnostic tools to detect children's understanding of mathematics topics.…
Descriptors: Cognitive Structures, Concept Formation, Decimal Fractions, Diagnostic Teaching
Borasi, Raffaella; Agor, Barbara – Focus on Learning Problems in Mathematics, 1990
Recent contributions from theory, research, and practice in second-language instruction are discussed in relation to mathematics education. Three methods of teaching and learning second languages are described--"Delayed Oral Production," the "Silent Way," and the "Counseling Learning/Community Language Learning." (KR)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Structures, Cognitive Style
Behr, Merlyn; Harel, Guershon – Focus on Learning Problems in Mathematics, 1990
Discussed are some situations students face that result in cognitive conflict, possible sources of these conflicts, and strategies which students use to resolve, remove, or circumvent them. A global account for observed systematic errors is offered based on a general problem-solving rule called the "Matching Rule." (KR)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Dissonance, Cognitive Structures
Wilson, Patricia S. – Focus on Learning Problems in Mathematics, 1990
Described are inconsistencies, definitions, and examples and their complex relationship which can be used to interpret students' reactions to the geometric tasks used to investigate inconsistencies in student thinking. Discusses the nature of definitions, the value of precise vocabulary, the use and limitations of prototypes, and the power of…
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Dissonance, Cognitive Structures
Steffe, Leslie P. – Focus on Learning Problems in Mathematics, 1990
Discussed are inconsistencies and cognitive conflict with respect to current mathematical knowledge of students and how that knowledge might be modified is discussed. The inconsistencies that students generate for themselves and those produced by the teacher are described. (KR)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Dissonance, Cognitive Structures
Tall, David – Focus on Learning Problems in Mathematics, 1990
Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)
Descriptors: Abstract Reasoning, Calculus, Cognitive Development, Cognitive Dissonance
Vinner, Shlomo – Focus on Learning Problems in Mathematics, 1990
Discussed are the issues of inconsistencies and compartmentalization and the use of inconsistencies in the classroom. Included are discussions on paradoxes, the naive student, logical reasoning ability, and the development of the students' cognitive structures. (KR)
Descriptors: Abstract Reasoning, Classification, Cognitive Development, Cognitive Dissonance
Tirosh, Dina – Focus on Learning Problems in Mathematics, 1990
Discusses a system of classification for students' inconsistent ideas in mathematics, the sources of students' mathematical inconsistency, and instructional strategies for helping students to resolve apparent learning inconsistencies. Language, curriculum, and instruction are included in the discussion. (KR)
Descriptors: Abstract Reasoning, Classification, Cognitive Development, Cognitive Dissonance