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Hammond, Thomas C.; Oltman, Julia; Salter, Shannon – Social Education, 2019
The social studies curriculum travels through time and space and is bigger on the inside than it is on the outside. To an outsider, the social studies curriculum is a single line on a program of studies, 45 minutes of a student's school day. Those on the inside, however, know that the field covers history, geography, civics, economics, and much…
Descriptors: Social Studies, Time, Problem Solving, Teaching Methods
Nathan, Mitchell J.; Kim, Sunae – Mathematical Thinking and Learning: An International Journal, 2007
Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…
Descriptors: Curriculum Design, Middle Schools, Graphs, Grade 6

Gagnon, Joseph Calvin; Maccini, Paula – TEACHING Exceptional Children, 2001
This article presents specific instructional approaches and examples to develop the algebraic reasoning skills of middle and secondary students with mild disabilities. Discussion of the National Council of Teachers of Mathematics standards identifies general principles, content standards, and process standards. Discussion of effective instruction…
Descriptors: Abstract Reasoning, Academic Standards, Algebra, Educational Principles
Qualitative and Numerical Reasoning about Fractions and Rates by Seventh- and Eighth-grade Students.

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

Cramer, Kathleen; Post, Thomas – Arithmetic Teacher, 1993
Defines the mathematical concept of proportionality. Uses graphs of linear relationships to explore and make generalizations about the characteristics of proportional situations to help students critically evaluate problems involving proportions. (MDH)
Descriptors: Abstract Reasoning, Formal Operations, Graphs, Mathematical Applications

Strahan, David B. – Clearing House, 1986
Synthesizes research on reasoning development and studies of teaching in order to present an approach to teaching guided thinking. (SRT)
Descriptors: Abstract Reasoning, Academic Achievement, Adolescent Development, Cognitive Development

Shaw, Jean M. – Arithmetic Teacher, 1993
Preservice elementary teachers worked cooperatively to explore the relationship between the measure of the central angle and the number of sides of regular polygons using the reflection of a line in a hinged mirror. The experience involved conjecture and experimentation, communication, and building connections between science, geometry, and…
Descriptors: Abstract Reasoning, Discovery Learning, Discovery Processes, Elementary Education
Kirby, Dan; Kuykendall, Carol – 1985
One of three related documents produced in response to a need for direct instruction in thinking skills, this program for middle school or junior high school students bases its approach on involvement of students in direct experiences. The book contains four units. Focusing on perception, Unit 1: "Experiencing the Arts" begins with ways sensory…
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Processes, Conflict Resolution